* [misc]progress:  [Phase 1 of 3] Setting up.
* * * [misc]progress:  [1/2] Preparing points
* * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
* * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 64
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 320
* * * * [misc]points:  Setting MPFR precision to 576
* * * * [misc]points:  Setting MPFR precision to 832
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 256 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 211 additional inputs, on iter 1 have 45 / 256
* * * * [misc]points:  Computing exacts on every 13 of 211 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 211 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 211 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 211 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 171 additional inputs, on iter 2 have 85 / 256
* * * * [misc]points:  Computing exacts on every 10 of 171 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 171 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 171 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 171 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 142 additional inputs, on iter 3 have 114 / 256
* * * * [misc]points:  Computing exacts on every 8 of 142 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 142 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 142 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 142 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 116 additional inputs, on iter 4 have 140 / 256
* * * * [misc]points:  Computing exacts on every 7 of 116 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 116 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 116 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 95 additional inputs, on iter 5 have 161 / 256
* * * * [misc]points:  Computing exacts on every 5 of 95 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 95 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 95 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 75 additional inputs, on iter 6 have 181 / 256
* * * * [misc]points:  Computing exacts on every 4 of 75 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 75 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 75 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 65 additional inputs, on iter 7 have 191 / 256
* * * * [misc]points:  Computing exacts on every 4 of 65 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 65 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 65 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 51 additional inputs, on iter 8 have 205 / 256
* * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 51 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 38 additional inputs, on iter 9 have 218 / 256
* * * * [misc]points:  Computing exacts on every 2 of 38 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 38 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 28 additional inputs, on iter 10 have 228 / 256
* * * * [misc]points:  Computing exacts for 28 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 20 additional inputs, on iter 11 have 236 / 256
* * * * [misc]points:  Computing exacts for 20 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 18 additional inputs, on iter 12 have 238 / 256
* * * * [misc]points:  Computing exacts for 18 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 12 additional inputs, on iter 13 have 244 / 256
* * * * [misc]points:  Computing exacts for 12 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 11 additional inputs, on iter 14 have 245 / 256
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 10 additional inputs, on iter 15 have 246 / 256
* * * * [misc]points:  Computing exacts for 10 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 9 additional inputs, on iter 16 have 247 / 256
* * * * [misc]points:  Computing exacts for 9 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 17 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 18 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 19 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 20 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 21 have 251 / 256
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 22 have 252 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 23 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 24 have 254 / 256
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 256 points with exact outputs
* * * [misc]progress:  [2/2] Setting up program.
* [misc]progress:  [Phase 2 of 3] Improving.
* [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (52 enodes)
* * [misc]simplify:  iters left: 2 (56 enodes)
* * [misc]simplify:  iters left: 1 (63 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
* * [misc]progress:  iteration 1 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 3 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
* * * * [misc]progress:  [ 3 / 3 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 3 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* n 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow (* 2 (* n PI)) 1/2) +nan.0) into (* +nan.0 (sqrt (* PI (* n 2))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
* [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))))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
* [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))))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
* [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)))))
* [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)))))))
* [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)))))))
* [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)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [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)))))
* [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))))))))
* [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))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 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)))))))
* [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))))))))))))))
* [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))))))))))))))
* [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))))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (* (/ 2 n) PI) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) 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))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (* (/ -2 n) PI) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [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))))
* [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)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 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)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [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))))
* [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)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 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)))
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))
* [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))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
* [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)))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [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
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))))
* [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)))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* (/ 1 (- k)) 1)) (* +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))))))))))))
* * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* n 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
* * * * [misc]progress:  [ 3 / 3 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* n 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
* [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))))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
* [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))))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
* [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)))))
* [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)))))))
* [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)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [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)))))
* [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)))))
* [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)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (* (/ 2 n) PI) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
* [misc]approximate:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (* (/ -2 n) PI) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [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))))
* [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)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [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))))
* [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)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))))
* [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)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [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
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
* [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
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 68 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) 1))>
* * * * [misc]progress:  [ 2 / 68 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))))
* * * * [misc]progress:  [ 3 / 68 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (log (* (* n 2) PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (64 enodes)
* * [misc]simplify:  iters left: 3 (159 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* (* n 2) PI))) (log (sqrt k)))))
* * * * [misc]progress:  [ 4 / 68 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (/ (- 1 k) 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (log (pow (* (* n 2) PI) (/ (- 1 k) 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (49 enodes)
* * [misc]simplify:  iters left: 3 (96 enodes)
* * [misc]simplify:  iters left: 2 (286 enodes)
* [exit]simplify:  Simplified to (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (log (* (* n 2) PI)) (/ 2 (- 1 k))) (log (sqrt k)))))
* * * * [misc]progress:  [ 5 / 68 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 6 / 68 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 7 / 68 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (122 enodes)
* * [misc]simplify:  iters left: 2 (191 enodes)
* * [misc]simplify:  iters left: 1 (301 enodes)
* [exit]simplify:  Simplified to (/ (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (* k (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (* k (sqrt k)) (pow (* n (* PI 2)) (/ (- 1 k) 2))))))
* * * * [misc]progress:  [ 8 / 68 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 9 / 68 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 10 / 68 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 11 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (/ (- 1 k) 2))) (- (sqrt k))))>
* * * * [misc]progress:  [ 12 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 13 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 14 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ (- 1 k) 2)) 1) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ (- 1 k) 2)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 15 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 16 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 17 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 1) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (41 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (60 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2))) (cbrt (pow (* (* PI n) 2) (/ (- 1 k) 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))
* * * * [misc]progress:  [ 18 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 19 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 20 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 1) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))
* * * * [misc]progress:  [ 21 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 22 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 23 / 68 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))
* [enter]simplify:  Simplifying (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 24 / 68 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 25 / 68 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
* * * * [misc]progress:  [ 26 / 68 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 27 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
* [enter]simplify:  Simplifying (cbrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 28 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))>
* [enter]simplify:  Simplifying (sqrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 29 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt k)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1) (sqrt k)))
* * * * [misc]progress:  [ 30 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))>
* [enter]simplify:  Simplifying (pow (* n 2) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))
* * * * [misc]progress:  [ 31 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (cbrt (pow (* n (* PI 2)) (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))
* * * * [misc]progress:  [ 32 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))>
* [enter]simplify:  Simplifying (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* 2 (* PI n)) (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))))))
* * * * [misc]progress:  [ 33 / 68 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1 k) 2)))))>
* * * * [misc]progress:  [ 34 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
* [enter]simplify:  Simplifying (pow (* (* n 2) PI) (/ 1 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (pow (* n (* PI 2)) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))
* * * * [misc]progress:  [ 35 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 36 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 37 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 38 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 39 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 40 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 41 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 42 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 43 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (/ (- 1 k) 2)) (sqrt k)))>
* * * * [misc]progress:  [ 44 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (log (* (* n 2) PI)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (58 enodes)
* * [misc]simplify:  iters left: 3 (141 enodes)
* [exit]simplify:  Simplified to (* (/ (- 1 k) 2) (log (* (* n 2) PI)))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (/ (- 1 k) 2) (log (* (* n 2) PI)))) (sqrt k)))
* * * * [misc]progress:  [ 45 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (/ (- 1 k) 2))) (sqrt k)))>
* * * * [misc]progress:  [ 46 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (* n 2) PI)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* n 2) PI)
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 47 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* (* n 2) PI) (/ k 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* * [misc]simplify:  iters left: 2 (20 enodes)
* [exit]simplify:  Simplified to (pow (* n (* PI 2)) (/ k 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 48 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 49 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 50 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (/ (- 1 k) 2)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 51 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1 k)) (/ 1 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1 k)) (/ 1 2)) (sqrt k)))
* * * * [misc]progress:  [ 52 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n 2) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (16 enodes)
* * [misc]simplify:  iters left: 3 (19 enodes)
* * [misc]simplify:  iters left: 2 (21 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 53 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (/ (- 1 k) 2)) 1) (sqrt k)))>
* * * * [misc]progress:  [ 54 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt k)))>
* * * * [misc]progress:  [ 55 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt k)))>
* * * * [misc]progress:  [ 56 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt k)))>
* * * * [misc]progress:  [ 57 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (/ (- 1 k) 2)) (pow (* (* n 2) PI) (/ (- 1 k) 2))) (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt k)))>
* * * * [misc]progress:  [ 58 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt k)))>
* * * * [misc]progress:  [ 59 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k)))>
* * * * [misc]progress:  [ 60 / 68 ] 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)))))))))))))))))))))))>
* [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))))))))))))))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 61 / 68 ] 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)))))))))>
* [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))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 62 / 68 ] 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)))))))))))))>
* [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))))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 63 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 64 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 65 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (/ (- 1 k) 2)) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (/ (- 1 k) 2)) (sqrt k)))
* * * * [misc]progress:  [ 66 / 68 ] 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)))>
* [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)))))
* * [misc]simplify:  iters left: 6 (37 enodes)
* * [misc]simplify:  iters left: 5 (105 enodes)
* * [misc]simplify:  iters left: 4 (338 enodes)
* [exit]simplify:  Simplified to (+ (+ (* (- 1/2) (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2))))) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (+ (+ (* (- 1/2) (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2))))) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k)))
* * * * [misc]progress:  [ 67 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k)))
* * * * [misc]progress:  [ 68 / 68 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (35 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (272 enodes)
* [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 2 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1 1)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* n 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* n 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ k 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log (* (* n 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log (* (* n 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ k 2) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (pow (* 2 (* n PI)) 1/2) 1) into (sqrt (* PI (* n 2)))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (sqrt (* PI (* n 2))) +nan.0) into (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt k)) into (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt k)) into (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (+ (log n) (log (* 2 PI))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (log n) (log (* 2 PI)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
* [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
* [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)))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (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)))) 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) +nan.0) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (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))))))))
* [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))))))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (+ (* 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)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (/ (+ (* 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))))) 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) (/ (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1)) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 1/48 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 3))) (+ (* 1/16 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow (log (* 2 PI)) 2)))) (+ (* 1/16 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (log (* 2 PI))))) (* 1/48 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 3)))))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))) +nan.0) (+ (* (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))))) +nan.0) (* (- (+ (* 1/48 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 3))) (+ (* 1/16 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow (log (* 2 PI)) 2)))) (+ (* 1/16 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (log (* 2 PI))))) (* 1/48 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 3))))))) 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))))))))))))))
* [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))))))))))))))
* [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))))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 n) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 n) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (* (/ 2 n) PI) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (* (/ 2 n) PI) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
* [misc]backup-simplify:  Simplify (/ (pow (* 2 (/ PI n)) 1/2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (sqrt (/ (* PI 2) n)) (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* (sqrt (/ (* PI 2) n)) (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) +nan.0) into (* +nan.0 (* (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (sqrt (/ PI n))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt (/ 1 k))) into (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt (/ 1 k))) into (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log (* 2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log (* 2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))))
* [misc]approximate:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (* (/ -2 n) PI) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* -2 (/ PI n))))) into (pow (* -2 (/ PI n)) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (* (/ -2 n) PI) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
* [misc]backup-simplify:  Simplify (/ (pow (* -2 (/ PI n)) 1/2) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (/ 1 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) (sqrt (/ (* PI -2) n)))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) (sqrt (/ (* PI -2) n))) +nan.0) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log (* -2 PI)) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log (* -2 PI)) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (* 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* n 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1 1)
* [misc]approximate:  Taking taylor expansion of (* (* n 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
* [misc]approximate:  Taking taylor expansion of (pow (* (* n 2) PI) (/ 1 2)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 1)))) 120) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -2 PI) 1)))) 720) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 151 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)) 1))>
* * * * [misc]progress:  [ 2 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 3 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 4 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 5 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 6 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (89 enodes)
* * [misc]simplify:  iters left: 3 (282 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 7 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (* (log (* (* n 2) PI)) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (81 enodes)
* * [misc]simplify:  iters left: 3 (265 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 8 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* (* n 2) PI) (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (log (pow (* (* n 2) PI) (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 9 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* (* n 2) PI) (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (log (pow (* (* n 2) PI) (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (85 enodes)
* * [misc]simplify:  iters left: 3 (240 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 10 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* (* n 2) PI) (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (- (log (pow (* (* n 2) PI) (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (32 enodes)
* * [misc]simplify:  iters left: 4 (66 enodes)
* * [misc]simplify:  iters left: 3 (186 enodes)
* [exit]simplify:  Simplified to (- (* (- (/ 1 2) (/ k 2)) (log (* n (* PI 2)))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- (/ 1 2) (/ k 2)) (log (* n (* PI 2)))) (log (sqrt k)))))
* * * * [misc]progress:  [ 11 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))))>
* [enter]simplify:  Simplifying (- (log (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (84 enodes)
* * [misc]simplify:  iters left: 2 (261 enodes)
* [exit]simplify:  Simplified to (- (* (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (- (/ 1 2) (/ k 2))) (log (sqrt k)))))
* * * * [misc]progress:  [ 12 / 151 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))))>
* * * * [misc]progress:  [ 13 / 151 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))))>
* * * * [misc]progress:  [ 14 / 151 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (/ (* (* (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ 1 2))) (* (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2))) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (* (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ 1 2))) (* (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2))) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (113 enodes)
* * [misc]simplify:  iters left: 3 (390 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (/ (* k (sqrt k)) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (* (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))) (/ (* k (sqrt k)) (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2)))))))
* * * * [misc]progress:  [ 15 / 151 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (* (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (266 enodes)
* [exit]simplify:  Simplified to (* (* (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (* k (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (* k (sqrt k))))))
* * * * [misc]progress:  [ 16 / 151 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) (cbrt (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))) (cbrt (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))))>
* * * * [misc]progress:  [ 17 / 151 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))))>
* * * * [misc]progress:  [ 18 / 151 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))))>
* * * * [misc]progress:  [ 19 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (- (sqrt k))))>
* * * * [misc]progress:  [ 20 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (45 enodes)
* * [misc]simplify:  iters left: 3 (49 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 21 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 22 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 1) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (52 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2))))) (/ (cbrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt k))))
* * * * [misc]progress:  [ 23 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 24 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* 2 (* PI n)) (/ 1 2)) (pow (* 2 (* PI n)) (/ k 2)))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 25 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) 1) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt (/ (pow (* n (* PI 2)) (/ 1 2)) (pow (* n (* PI 2)) (/ k 2)))) (sqrt k))))
* * * * [misc]progress:  [ 26 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* * [misc]simplify:  iters left: 2 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 27 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 28 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) 1) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* * [misc]simplify:  iters left: 2 (24 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ 1 2)) (* (sqrt k) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (/ (pow PI (/ 1 2)) (* (sqrt k) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 29 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (60 enodes)
* * [misc]simplify:  iters left: 2 (72 enodes)
* * [misc]simplify:  iters left: 1 (75 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 30 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 31 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (42 enodes)
* * [misc]simplify:  iters left: 2 (47 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt k)) (cbrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 32 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 33 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 34 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow PI (/ 1 2)) (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 35 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 36 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) 1) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) 1) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 37 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) 1) 1) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (pow (* n 2) (/ 1 2)) 1) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow (* n 2) (/ 1 2)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow (* n 2) (/ 1 2)) (/ (/ (pow PI (/ 1 2)) (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))
* * * * [misc]progress:  [ 38 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (30 enodes)
* * [misc]simplify:  iters left: 4 (50 enodes)
* * [misc]simplify:  iters left: 3 (86 enodes)
* * [misc]simplify:  iters left: 2 (125 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (/ (* (pow (* n 2) (/ k 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (/ (* (pow (* n 2) (/ k 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n (* PI 2)) (/ 1 2))))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 39 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (56 enodes)
* * [misc]simplify:  iters left: 2 (64 enodes)
* * [misc]simplify:  iters left: 1 (67 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ k 2)) (cbrt (pow (* (* n 2) PI) (/ 1 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ k 2)) (cbrt (pow (* (* n 2) PI) (/ 1 2))))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 40 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) 1) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (155 enodes)
* * [misc]simplify:  iters left: 1 (379 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n 2) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n 2) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow PI (/ k 2)) (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (pow (* n 2) (/ k 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow PI (/ k 2)) (sqrt k)))))
* * * * [misc]progress:  [ 41 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (36 enodes)
* * [misc]simplify:  iters left: 4 (73 enodes)
* * [misc]simplify:  iters left: 3 (142 enodes)
* * [misc]simplify:  iters left: 2 (253 enodes)
* * [misc]simplify:  iters left: 1 (314 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 42 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (92 enodes)
* * [misc]simplify:  iters left: 2 (126 enodes)
* * [misc]simplify:  iters left: 1 (145 enodes)
* [exit]simplify:  Simplified to (/ (* (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 43 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (95 enodes)
* * [misc]simplify:  iters left: 2 (296 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2))))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2))))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 44 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (51 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (127 enodes)
* * [misc]simplify:  iters left: 1 (146 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ 1 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ 1 2))))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 45 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (65 enodes)
* * [misc]simplify:  iters left: 1 (68 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (cbrt (pow (* (* PI n) 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 46 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (65 enodes)
* * [misc]simplify:  iters left: 2 (161 enodes)
* * [misc]simplify:  iters left: 1 (335 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 47 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (56 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (238 enodes)
* * [misc]simplify:  iters left: 1 (268 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 48 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (71 enodes)
* * [misc]simplify:  iters left: 2 (138 enodes)
* * [misc]simplify:  iters left: 1 (141 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 49 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) 1) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (50 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow (* n (* PI 2)) (/ k 2)) (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow (* n (* PI 2)) (/ k 2)) (sqrt k)))))
* * * * [misc]progress:  [ 50 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (45 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (* (pow (* n 2) (/ k 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (* (pow (* n 2) (/ k 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 51 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* n 2) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* n 2) (/ k 2)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 52 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) 1)
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (pow (* n 2) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (pow (* n 2) (/ k 2))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow PI (/ k 2)) (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (pow (* n 2) (/ k 2))) (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow PI (/ k 2)) (sqrt k)))))
* * * * [misc]progress:  [ 53 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (61 enodes)
* * [misc]simplify:  iters left: 2 (73 enodes)
* * [misc]simplify:  iters left: 1 (76 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 54 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (* (cbrt (pow (* (* PI n) 2) (/ k 2))) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* (* PI n) 2) (/ 1 2))) (cbrt (pow (* (* PI n) 2) (/ k 2)))) (* (cbrt (pow (* (* PI n) 2) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 55 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (44 enodes)
* * [misc]simplify:  iters left: 2 (49 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (* (cbrt (pow (* 2 (* PI n)) (/ k 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (* (cbrt (pow (* 2 (* PI n)) (/ k 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (* (cbrt (pow (* 2 (* PI n)) (/ k 2))) (cbrt (pow (* 2 (* PI n)) (/ k 2))))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 56 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 57 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 58 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 59 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (39 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 60 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (34 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* 2 (* PI n)) (/ 1 2))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 61 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) 1) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* (* n 2) PI) (/ 1 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ 1 2))) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow (* n (* PI 2)) (/ k 2)) (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* n 2) PI) (/ 1 2))) (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (* (pow (* n (* PI 2)) (/ k 2)) (sqrt k)))))
* * * * [misc]progress:  [ 62 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* * [misc]simplify:  iters left: 2 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (pow (* 2 n) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow (* 2 n) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ 1 2)) (* (pow PI (/ k 2)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow (* n 2) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (pow PI (/ k 2)) (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 63 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (pow (* 2 n) (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow (* 2 n) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ 1 2)) (* (pow PI (/ k 2)) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (pow PI (/ k 2)) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 64 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (pow (* n 2) (/ k 2))) 1) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* n 2) (/ k 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow (* 2 n) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (pow (* 2 n) (/ k 2))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 (* PI n)) (/ 1 2)) (* (sqrt k) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (pow (* 2 n) (/ k 2))) (/ (pow (* 2 (* PI n)) (/ 1 2)) (* (sqrt k) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 65 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (44 enodes)
* * [misc]simplify:  iters left: 3 (58 enodes)
* * [misc]simplify:  iters left: 2 (70 enodes)
* * [misc]simplify:  iters left: 1 (73 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 66 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (36 enodes)
* * [misc]simplify:  iters left: 3 (40 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (/ k 2)))) (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (/ k 2)))) (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 67 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (39 enodes)
* * [misc]simplify:  iters left: 2 (40 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (cbrt (pow (* 2 (* n PI)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt k)) (cbrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 68 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (44 enodes)
* [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 69 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 70 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt k))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt k)) (sqrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 71 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 72 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (6 enodes)
* * [misc]simplify:  iters left: 3 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 73 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (/ 1 1) 1)
* * [misc]simplify:  iters left: 4 (3 enodes)
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 (* PI n)) (/ 1 2)) (* (sqrt k) (pow (* 2 (* PI n)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* 2 (* PI n)) (/ 1 2)) (* (sqrt k) (pow (* 2 (* PI n)) (/ k 2))))))
* * * * [misc]progress:  [ 74 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (cbrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 75 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 76 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ (pow (* 2 (* PI n)) (/ 1 2)) (* (sqrt k) (pow (* 2 (* PI n)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* 2 (* PI n)) (/ 1 2)) (* (sqrt k) (pow (* 2 (* PI n)) (/ k 2))))))
* * * * [misc]progress:  [ 77 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* (* n 2) PI) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (pow (* (* PI 2) n) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* (* PI 2) n) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ 1 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))
* * * * [misc]progress:  [ 78 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow (* n (* PI 2)) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))
* * * * [misc]progress:  [ 79 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ 1 2)) 1) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow (* (* n 2) PI) (/ 1 2)) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (pow (* (* PI 2) n) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow (* (* PI 2) n) (/ 1 2)) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow (* (* PI 2) n) (/ 1 2)) (/ (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 80 / 151 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))))>
* * * * [misc]progress:  [ 81 / 151 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ 1 (sqrt k))))>
* * * * [misc]progress:  [ 82 / 151 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))>
* * * * [misc]progress:  [ 83 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
* [enter]simplify:  Simplifying (cbrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
* * * * [misc]progress:  [ 84 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
* [enter]simplify:  Simplifying (sqrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 85 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) 1) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt k)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) 1) (sqrt k)))
* * * * [misc]progress:  [ 86 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (/ (sqrt k) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (/ (sqrt k) (cbrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 87 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* (* PI 2) n) (/ 1 2)) (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (/ (pow (* (* PI 2) n) (/ 1 2)) (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 88 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (/ (sqrt k) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (/ (sqrt k) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 89 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (sqrt k) (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (cbrt (pow (* 2 (* n PI)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (pow (* 2 (* n PI)) (/ k 2))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))) (/ (sqrt k) (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 90 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (sqrt k) (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 91 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n 2) (/ 1 2)) 1) (/ (sqrt k) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) 1)
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* n 2) (/ 1 2)) (/ (sqrt k) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 92 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* n 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (pow (* n 2) (/ k 2))) (cbrt (pow (* 2 (* PI n)) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* 2 (* PI n)) (/ 1 2))) (pow (* n 2) (/ k 2))) (cbrt (pow (* 2 (* PI n)) (/ 1 2)))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 93 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (48 enodes)
* * [misc]simplify:  iters left: 2 (51 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (/ (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2))))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 94 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ 1 2)))) (sqrt (pow (* n (* PI 2)) (/ k 2)))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 95 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) 1)
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (37 enodes)
* * [misc]simplify:  iters left: 2 (48 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (/ (sqrt k) (/ (cbrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 96 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* n 2) (/ k 2)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (25 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* PI 2) n) (/ 1 2))) (pow (* n 2) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* PI 2) n) (/ 1 2))) (pow (* n 2) (/ k 2))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 97 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt (pow (* n (* PI 2)) (/ 1 2))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (cbrt (pow (* n (* PI 2)) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 98 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (28 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 99 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (/ 1 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (pow (* (* PI n) 2) (/ 1 2))) (/ (sqrt k) (/ (sqrt (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 100 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (pow (* n 2) (/ k 2))) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))))))>
* [enter]simplify:  Simplifying (/ 1 (pow (* n 2) (/ k 2)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ 1 (pow (* 2 n) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ 1 (pow (* 2 n) (/ k 2))) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 101 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (27 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 102 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (24 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))))))
* * * * [misc]progress:  [ 103 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 104 / 151 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))))>
* * * * [misc]progress:  [ 105 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ 1 2)) (/ (sqrt k) (/ 1 (pow (* (* n 2) PI) (/ k 2))))))>
* [enter]simplify:  Simplifying (pow (* (* n 2) PI) (/ 1 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (pow (* n (* PI 2)) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (/ (sqrt k) (/ 1 (pow (* (* n 2) PI) (/ k 2))))))
* * * * [misc]progress:  [ 106 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
* [enter]simplify:  Simplifying (pow (* (* n 2) PI) (/ 1 2))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* * [misc]simplify:  iters left: 2 (22 enodes)
* [exit]simplify:  Simplified to (pow (* n (* PI 2)) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* n (* PI 2)) (/ 1 2)) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))
* * * * [misc]progress:  [ 107 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (pow (* (* n 2) PI) 1) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 108 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (exp (log (* (* n 2) PI))) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 109 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (log (exp (* (* n 2) PI))) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 110 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 111 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 112 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 113 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* 1 (* (* n 2) PI)) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 114 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 115 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 116 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 117 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (exp (log (* (* n 2) PI))) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 118 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (log (exp (* (* n 2) PI))) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 119 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 120 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 121 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 122 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 1 (* (* n 2) PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 123 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* n (* 2 PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 124 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 125 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* (* n 2) PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (log (* (* n 2) PI)) (/ 1 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (42 enodes)
* * [misc]simplify:  iters left: 3 (90 enodes)
* * [misc]simplify:  iters left: 2 (168 enodes)
* * [misc]simplify:  iters left: 1 (327 enodes)
* [exit]simplify:  Simplified to (/ (log (* (* PI n) 2)) 2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (/ (log (* (* PI n) 2)) 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 126 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* (* n 2) PI)) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 127 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (* 1 (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* (* n 2) PI)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* n 2) PI)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (* 1 (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 128 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (cbrt (/ 1 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 129 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) (sqrt (/ 1 2))) (sqrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt (/ 1 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 2))
* [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) (sqrt (/ 1 2))) (sqrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 130 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 131 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 132 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (pow (* n 2) (/ 1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ 1 2))
* [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 133 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* (* n 2) PI) (/ 1 2)) 1) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 134 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (log (pow (* (* n 2) PI) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 135 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (log (exp (pow (* (* n 2) PI) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 136 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (* (cbrt (pow (* (* n 2) PI) (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (cbrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 137 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (cbrt (* (* (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 138 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (sqrt (pow (* (* n 2) PI) (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 139 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* 1 (pow (* (* n 2) PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* * * * [misc]progress:  [ 140 / 151 ] 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)))))))))))))))))))))))>
* [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))))))))))))))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 141 / 151 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 142 / 151 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 143 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 144 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 145 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 146 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 147 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 148 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 149 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (78 enodes)
* * [misc]simplify:  iters left: 2 (124 enodes)
* * [misc]simplify:  iters left: 1 (149 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 150 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (196 enodes)
* * [misc]simplify:  iters left: 1 (498 enodes)
* [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 151 / 151 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (40 enodes)
* * [misc]simplify:  iters left: 3 (87 enodes)
* * [misc]simplify:  iters left: 2 (228 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 3 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1 1)
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* n 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* n 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow (* 2 n) 1/2) +nan.0) into (* +nan.0 (sqrt (* n 2)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt k)) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) (pow k 1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt k)) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) (pow k 1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (+ (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow (/ 1 k) 1/4) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of 1/4 in k
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
* [misc]backup-simplify:  Simplify (* 1/4 (- (log k))) into (* -1/4 (log k))
* [misc]backup-simplify:  Simplify (exp (* -1/4 (log k))) into (pow k -1/4)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k -1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) 0) (* 0 (pow k -1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [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
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ 2 n))) into (* 1/2 (log (/ 2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ 2 n)))) into (pow (/ 2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (pow (/ 2 n) 1/2) (sqrt +nan.0)) into (* (sqrt (/ 2 n)) (/ 1 (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log 2) (log n))) into (* 1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log 2) (log n)))) into (exp (* 1/2 (- (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log 2) (log n)))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log 2) (log n))) into (* 1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log 2) (log n)))) into (exp (* 1/2 (- (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log 2) (log n)))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4))
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log 2) (log n))) into (* 1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log 2) (log n)))) into (exp (* 1/2 (- (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (pow k 1/4) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log k))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/4 (log k)) in k
* [misc]taylor:  Taking taylor expansion of 1/4 in k
* [misc]backup-simplify:  Simplify 1/4 into 1/4
* [misc]taylor:  Taking taylor expansion of (log k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (log 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
* [misc]backup-simplify:  Simplify (* 1/4 (log k)) into (* 1/4 (log k))
* [misc]backup-simplify:  Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) into (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) into (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (log k))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (- (log 2) (log n)))) 0) (* 0 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (/ 1 k) 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
* [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (- (log 2) (log n)))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [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
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ 1 k) 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow (/ 1 k) 1/4))
* [misc]approximate:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ -2 n)))) into (pow (/ -2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (pow (/ -2 n) 1/2) (sqrt +nan.0)) into (* (/ 1 (sqrt +nan.0)) (sqrt (/ -2 n)))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -2) (log n)))) into (exp (* 1/2 (- (log -2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt (sqrt (/ -1 k)))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -2) (log n)))) into (exp (* 1/2 (- (log -2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt (sqrt (/ -1 k)))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log -2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log -2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log -2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -2) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -2) (log n)))) into (exp (* 1/2 (- (log -2) (log n))))
* [misc]backup-simplify:  Simplify (* (sqrt +nan.0) (exp (* 1/2 (- (log -2) (log n))))) into (* (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0)) into (* (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (* (/ +nan.0 (sqrt +nan.0)) (exp (* 1/2 (- (log -2) (log n)))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) (/ 0 (sqrt (sqrt (/ -1 k))))) (* 0 (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
* [misc]backup-simplify:  Simplify (/ (- (- +nan.0) (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))
* [misc]backup-simplify:  Simplify (+ (* (sqrt +nan.0) 0) (+ (* (/ +nan.0 (sqrt +nan.0)) 0) (* (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (exp (* 1/2 (- (log -2) (log n))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt +nan.0))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (sqrt +nan.0)))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (sqrt +nan.0)))) (* (/ 1 (- k)) 1)) (* (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (sqrt +nan.0)))) into (- (* (sqrt +nan.0) (exp (* 1/2 (- (log -2) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2)))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* n 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* n 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow (* 2 n) 1/2) +nan.0) into (* +nan.0 (sqrt (* n 2)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ k 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log (* (* n 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log (* (* n 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ k 2) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
* [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) 1) into (sqrt PI)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (sqrt PI) +nan.0) into (* +nan.0 (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt k)) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) (pow k 1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt k)) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 1/4)) into (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)))
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt k)) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) (pow k 1/4)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* n 2) PI) (/ k 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ k 2) (log (* (* n 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ k 2) (log (* (* n 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ k 2) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ k 2) into (* 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* n 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt k)) into (pow k 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt k)))) into 0
* [misc]backup-simplify:  Simplify (/ (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 1/4)) into (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)))
* [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)))) into (* (/ (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ PI k)))
* [misc]taylor:  Taking taylor expansion of (* (/ (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (sqrt (/ PI k))) in k
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (+ (log 2) (log n)))) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (+ (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (+ (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
* [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
* [misc]backup-simplify:  Simplify (* 1/2 0) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (exp 0) into 1
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (+ (log 2) (log n)))) 1) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ PI k)) in k
* [misc]taylor:  Taking taylor expansion of (/ PI k) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ PI 1) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) 0) (* 0 (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) 0) (+ (* 0 0) (* 0 (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log (* 2 PI))))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* +nan.0 PI)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log (* 2 PI)))))) 0)) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))
* [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
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [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
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (/ (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log (* 2 PI)))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log (* 2 PI)) 2)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* +nan.0 (pow PI 2))) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log (* 2 PI)))))) (* +nan.0 PI)) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n)))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n)))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (* (sqrt PI) (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4))) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (pow k 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow k 1/4)) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))) (* 0 (/ 0 (pow k 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt PI) (* (/ 1 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (pow (/ 1 k) 1/4)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
* [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
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (+ (* 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)))))
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (/ (+ (* 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))))) 1)) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 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)))) 1)) (* (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log (* 2 PI)) 2))))) (/ (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)))) into (- (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow (log (* 2 PI)) 2)))) (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log (* 2 PI)) 3))) (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (log (* 2 PI)))))))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* +nan.0 (pow PI 3))) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (log (* 2 PI)))))) (* +nan.0 (pow PI 2))) (+ (* (+ (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (+ (* 1/4 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (log (* 2 PI))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log (* 2 PI)) 2))))) (* +nan.0 PI)) (* (- (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3))) (+ (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow (log (* 2 PI)) 2)))) (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log (* 2 PI)) 3))) (* 1/16 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (log (* 2 PI))))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI)))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 3))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI)))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 2))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (log n))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 3) (pow k 2)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ 2 n))) into (* 1/2 (log (/ 2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ 2 n)))) into (pow (/ 2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (pow (/ 2 n) 1/2) (sqrt +nan.0)) into (* (sqrt (/ 2 n)) (/ 1 (sqrt +nan.0)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (* (/ 2 n) PI) into (* 2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) (sqrt PI)) (sqrt +nan.0)) into (* (/ 1 (* (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt +nan.0))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log 2) (log n))) into (* 1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log 2) (log n)))) into (exp (* 1/2 (- (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log 2) (log n)))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI)) (pow (/ 1 k) 1/4)) into (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4)))
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 n) 2) (/ 1 2)) (sqrt (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log 2) (log n))) into (* 1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log 2) (log n)))) into (exp (* 1/2 (- (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log 2) (log n)))) (pow (/ 1 k) 1/4)) into (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) (sqrt (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 n) 2) PI) (/ (/ 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 k) 2) (log (* (* (/ 1 n) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ 1 k) 2) into (/ 1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 n) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ 1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI)) (pow (/ 1 k) 1/4)) into (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4)))
* [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4)))) into (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt (* PI k)))
* [misc]taylor:  Taking taylor expansion of (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt (* PI k))) in k
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log 2) (log n))) into (* 1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log 2) (log n)))) into (exp (* 1/2 (- (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
* [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
* [misc]taylor:  Taking taylor expansion of (sqrt (* PI k)) in k
* [misc]taylor:  Taking taylor expansion of (* PI k) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (* PI 0) into 0
* [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
* [misc]backup-simplify:  Simplify (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI)) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) 0) (* 0 (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI)) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (/ 1 k) 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (pow (/ 1 k) 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) 0) (+ (* 0 0) (* 0 (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [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
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ 1/2 k) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (sqrt PI)) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ 1 k) 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4))) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [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
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (pow (/ 1 k) 1/4))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (pow (/ 1 k) 1/4)) (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))) (* 0 (/ 0 (pow (/ 1 k) 1/4))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (- (log 2) (log n)))) (pow k 1/4)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (/ 1 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (sqrt PI) (pow k 1/4))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3))
* [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
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (/ (exp (* 1/2 (- (log 2) (log n)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log n)))) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))))
* [misc]approximate:  Taking taylor expansion of (* (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (/ -2 n)))) into (pow (/ -2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (pow (/ -2 n) 1/2) (sqrt +nan.0)) into (* (/ 1 (sqrt +nan.0)) (sqrt (/ -2 n)))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in k
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI))) in k
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in k
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (* (/ -2 n) PI) into (* -2 (/ PI n))
* [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
* [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
* [misc]backup-simplify:  Simplify (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (/ 1 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) (sqrt PI)) (sqrt +nan.0)) into (* (/ 1 (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt +nan.0))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -2) (log n)))) into (exp (* 1/2 (- (log -2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt (sqrt (/ -1 k)))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)) (sqrt (sqrt (/ -1 k)))) into (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k)))))
* [misc]taylor:  Taking taylor expansion of (* (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k)))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow (* (/ 1 (- n)) 2) (/ 1 2)) (sqrt (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -2) (log n)))) into (exp (* 1/2 (- (log -2) (log n))))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -2) (log n)))) (sqrt (sqrt (/ -1 k)))) into (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) (sqrt (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ 1 2)) (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ 1 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ 1 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 2) in n
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* (* (/ 1 (- n)) 2) PI) (/ (/ 1 (- k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (/ 1 (- k)) 2) (log (* (* (/ 1 (- n)) 2) PI))) in n
* [misc]taylor:  Taking taylor expansion of (/ (/ 1 (- k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (/ (/ -1 k) 2) into (/ -1/2 k)
* [misc]taylor:  Taking taylor expansion of (log (* (* (/ 1 (- n)) 2) PI)) in n
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (sqrt (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (/ (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)) (sqrt (sqrt (/ -1 k)))) into (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k)))))
* [misc]backup-simplify:  Simplify (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k)))))) into (* (sqrt PI) (/ (exp (* 1/2 (- (log -2) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt PI) (/ (exp (* 1/2 (- (log -2) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (sqrt PI) into (sqrt PI)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt PI))) into 0
* [misc]taylor:  Taking taylor expansion of (/ (exp (* 1/2 (- (log -2) (log n)))) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (- (log -2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (- (log -2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (- (log -2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -2) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log -2) (log n)))) into (exp (* 1/2 (- (log -2) (log n))))
* [misc]taylor:  Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
* [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
* [misc]taylor:  Taking taylor expansion of -1/2 in k
* [misc]backup-simplify:  Simplify -1/2 into -1/2
* [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
* [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
* [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
* [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
* [misc]backup-simplify:  Simplify (* 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (- (log -2) (log n)))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (* (sqrt PI) (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))) into (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k))))) (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) 0) (* 0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log -2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (+ (* (sqrt PI) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))) into (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (/ -1/2 k) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
* [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (+ (* (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)) (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k))))) (/ 0 (sqrt (sqrt (/ -1 k))))) (* 0 (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (sqrt (/ -1 k))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (sqrt (/ -1 k)))) (+ (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) (/ 0 (sqrt (sqrt (/ -1 k))))) (* 0 (/ 0 (sqrt (sqrt (/ -1 k))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (sqrt (/ 1 (sqrt (/ -1 k)))) (exp (* 1/2 (- (log -2) (log n))))) 0) (+ (* 0 0) (* 0 (* (/ 1 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ PI (sqrt (/ -1 k)))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
* [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0
* [misc]backup-simplify:  Simplify (+ (* (sqrt PI) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (+ (* 0 (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI)))) into (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log n)))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt PI))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))) (sqrt PI)))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))) (sqrt PI)))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ 1 (- n)))))) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))) (sqrt PI))))) into (- (+ (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (sqrt PI))) (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2))) (sqrt PI))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 2 1)
* [misc]approximate:  Taking taylor expansion of (* (* n 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* n 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (* 0 PI) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 2 PI)) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 n) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
* [misc]approximate:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in (n) around 0
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]taylor:  Taking taylor expansion of (* (* (/ 1 (- n)) 2) PI) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (exp (* (log PI) (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 2 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (cbrt (/ 1 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (cbrt (/ 1 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (cbrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 3 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI (sqrt (/ 1 2))) (sqrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (/ 1 2))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (sqrt (/ 1 2))
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI (sqrt (/ 1 2))) (sqrt (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 4 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 5 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 2 1 1 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI 1) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 6 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow (pow PI (/ 1 2)) 1) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 7 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (exp (log (pow PI (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 8 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (log (exp (pow PI (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 9 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (cbrt (pow PI (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 10 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (cbrt (* (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow PI (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 11 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (sqrt (pow PI (/ 1 2))) (sqrt (pow PI (/ 1 2)))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 12 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* 1 (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 13 / 257 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 1) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 14 / 257 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 15 / 257 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (70 enodes)
* * [misc]simplify:  iters left: 2 (114 enodes)
* * [misc]simplify:  iters left: 1 (121 enodes)
* [exit]simplify:  Simplified to (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 16 / 257 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (27 enodes)
* * [misc]simplify:  iters left: 3 (47 enodes)
* * [misc]simplify:  iters left: 2 (115 enodes)
* * [misc]simplify:  iters left: 1 (183 enodes)
* [exit]simplify:  Simplified to (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 17 / 257 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 18 / 257 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 19 / 257 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (105 enodes)
* * [misc]simplify:  iters left: 2 (160 enodes)
* * [misc]simplify:  iters left: 1 (177 enodes)
* [exit]simplify:  Simplified to (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3)
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (cbrt (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 20 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 21 / 257 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 22 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 23 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (- (pow (* n 2) (/ 1 2))) (- (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 24 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 25 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 26 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 27 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt 1)) (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt 1)) (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt 1)) (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 28 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (9 enodes)
* * [misc]simplify:  iters left: 4 (11 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 29 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow n (/ 1 2)) 1) (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ 1 2)) (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (pow n (/ 1 2)) (/ (pow 2 (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 30 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 31 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n 2) (/ 1 2))) (/ (cbrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ 1 2))) (/ (cbrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ 1 2))) (/ (cbrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k))))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 32 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 33 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt 1)) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (cbrt (pow (* n 2) (/ 1 2)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt 1)) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 34 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 35 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) 1) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 36 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 37 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 38 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 39 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 40 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 41 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (sqrt (pow (* n 2) (/ 1 2))) 1) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* n 2) (/ 1 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ 1 2))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (/ 1 2))) (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 42 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 43 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (fabs (cbrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 44 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 45 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt 1)) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt 1)) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt 1)) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 46 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 47 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 1) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* 1 (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* 1 (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 48 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 49 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ 1 2)) (/ 1 (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 50 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ 1 2)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 51 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 52 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 53 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 54 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt 1)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt 1)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 55 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 3 (4 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 56 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) 1) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ (pow (* n 2) (/ 1 2)) 1) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 57 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (pow n (/ 1 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (pow n (/ 1 2)) (/ (sqrt (sqrt k)) (pow 2 (/ 1 2)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 58 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ 1 2))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2))))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (/ 1 2))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 59 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ 1 2))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (pow (* n 2) (/ 1 2)))
* * [misc]simplify:  iters left: 4 (7 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* n 2) (/ 1 2)))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (/ 1 2))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 60 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) (/ 1 2)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 61 / 257 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) 1))>
* [enter]simplify:  Simplifying (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* n PI) 2) (/ k 2))) (sqrt k))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (pow (/ (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* n PI) 2) (/ k 2))) (sqrt k)) 1))
* * * * [misc]progress:  [ 62 / 257 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) 1))>
* * * * [misc]progress:  [ 63 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))))
* * * * [misc]progress:  [ 64 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))))
* * * * [misc]progress:  [ 65 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))))))
* * * * [misc]progress:  [ 66 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (455 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))))
* * * * [misc]progress:  [ 67 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (455 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))))
* * * * [misc]progress:  [ 68 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (+ (- (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2))))))
* * * * [misc]progress:  [ 69 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (/ (log PI) 2) (* (log (* 2 (* PI n))) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (/ (log PI) 2) (* (log (* 2 (* PI n))) (/ k 2))))))
* * * * [misc]progress:  [ 70 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (+ (- (- (* (log PI) (/ 1 2)) (log (sqrt (sqrt k)))) (* (log (* n (* 2 PI))) (/ k 2))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (* (log PI) (/ 1 2)) (log (sqrt (sqrt k)))) (* (log (* n (* 2 PI))) (/ k 2))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 71 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))))
* * * * [misc]progress:  [ 72 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (135 enodes)
* * [misc]simplify:  iters left: 3 (426 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))))
* * * * [misc]progress:  [ 73 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (51 enodes)
* * [misc]simplify:  iters left: 4 (123 enodes)
* * [misc]simplify:  iters left: 3 (384 enodes)
* [exit]simplify:  Simplified to (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))))))
* * * * [misc]progress:  [ 74 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (455 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))))
* * * * [misc]progress:  [ 75 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (52 enodes)
* * [misc]simplify:  iters left: 4 (131 enodes)
* * [misc]simplify:  iters left: 3 (455 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log (* n 2)) 2) (/ (log PI) 2)) (+ (+ (log (sqrt (sqrt k))) (* (log (* n 2)) (/ k 2))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k))))))))
* * * * [misc]progress:  [ 76 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (50 enodes)
* * [misc]simplify:  iters left: 4 (119 enodes)
* * [misc]simplify:  iters left: 3 (393 enodes)
* [exit]simplify:  Simplified to (+ (- (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2))))))
* * * * [misc]progress:  [ 77 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (95 enodes)
* * [misc]simplify:  iters left: 3 (262 enodes)
* [exit]simplify:  Simplified to (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (/ (log PI) 2) (* (log (* 2 (* PI n))) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (/ (log PI) 2) (* (log (* 2 (* PI n))) (/ k 2))))))
* * * * [misc]progress:  [ 78 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (* (log (* n 2)) (/ 1 2)) (log (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (82 enodes)
* * [misc]simplify:  iters left: 3 (190 enodes)
* [exit]simplify:  Simplified to (+ (- (- (* (log PI) (/ 1 2)) (log (sqrt (sqrt k)))) (* (log (* n (* 2 PI))) (/ k 2))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (* (log PI) (/ 1 2)) (log (sqrt (sqrt k)))) (* (log (* n (* 2 PI))) (/ k 2))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 79 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (- (+ (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (- (/ (log PI) 2) (* (log (* n 2)) (/ k 2)))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (- (/ (log PI) 2) (* (log (* n 2)) (/ k 2)))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 80 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (126 enodes)
* * [misc]simplify:  iters left: 3 (360 enodes)
* [exit]simplify:  Simplified to (- (+ (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (- (/ (log PI) 2) (* (log (* n 2)) (/ k 2)))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (- (/ (log PI) 2) (* (log (* n 2)) (/ k 2)))) (+ (/ (log PI) (/ 2 k)) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 81 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (116 enodes)
* * [misc]simplify:  iters left: 3 (353 enodes)
* [exit]simplify:  Simplified to (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (/ (log (* n 2)) 2) (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k))))) (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))))))
* * * * [misc]progress:  [ 82 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (385 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (* (/ k 2) (log (* n 2))) (log (sqrt (sqrt k)))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (* (/ k 2) (log (* n 2))) (log (sqrt (sqrt k)))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))))
* * * * [misc]progress:  [ 83 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (48 enodes)
* * [misc]simplify:  iters left: 4 (121 enodes)
* * [misc]simplify:  iters left: 3 (385 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (* (/ k 2) (log (* n 2))) (log (sqrt (sqrt k)))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (+ (* (/ k 2) (log (* n 2))) (log (sqrt (sqrt k)))) (- (* (/ k 2) (log PI)) (/ (log (* n 2)) 2))))))
* * * * [misc]progress:  [ 84 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (111 enodes)
* * [misc]simplify:  iters left: 3 (350 enodes)
* [exit]simplify:  Simplified to (+ (- (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2))))))
* * * * [misc]progress:  [ 85 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (40 enodes)
* * [misc]simplify:  iters left: 4 (87 enodes)
* * [misc]simplify:  iters left: 3 (220 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (* (log (* (* PI n) 2)) (/ k 2))) (- (log (sqrt (sqrt k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (* (log (* (* PI n) 2)) (/ k 2))) (- (log (sqrt (sqrt k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))))))
* * * * [misc]progress:  [ 86 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (- (log (pow (* n 2) (/ 1 2))) (log (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (74 enodes)
* * [misc]simplify:  iters left: 3 (152 enodes)
* [exit]simplify:  Simplified to (+ (- (- (* (log PI) (/ 1 2)) (log (sqrt (sqrt k)))) (* (log (* (* PI n) 2)) (/ k 2))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (* (log PI) (/ 1 2)) (log (sqrt (sqrt k)))) (* (log (* (* PI n) 2)) (/ k 2))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 87 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (+ (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 88 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (47 enodes)
* * [misc]simplify:  iters left: 4 (112 enodes)
* * [misc]simplify:  iters left: 3 (299 enodes)
* [exit]simplify:  Simplified to (+ (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (+ (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 89 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (* (log PI) (/ 1 2)) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (44 enodes)
* * [misc]simplify:  iters left: 4 (99 enodes)
* * [misc]simplify:  iters left: 3 (277 enodes)
* [exit]simplify:  Simplified to (- (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))) (- (log (sqrt (sqrt k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (- (/ (log PI) 2) (* (log PI) (/ k 2))) (* (log (* n 2)) (/ k 2))) (- (log (sqrt (sqrt k))) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))))))
* * * * [misc]progress:  [ 90 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (- (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (log (sqrt (sqrt k))) (/ (log (* n 2)) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (log (sqrt (sqrt k))) (/ (log (* n 2)) 2)))))
* * * * [misc]progress:  [ 91 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (* (log (* (* n 2) PI)) (/ k 2))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (46 enodes)
* * [misc]simplify:  iters left: 4 (107 enodes)
* * [misc]simplify:  iters left: 3 (323 enodes)
* [exit]simplify:  Simplified to (- (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (log (sqrt (sqrt k))) (/ (log (* n 2)) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (/ (log (* PI (* n 2))) (/ 2 k))) (- (log (sqrt (sqrt k))) (/ (log (* n 2)) 2)))))
* * * * [misc]progress:  [ 92 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (- (log (pow PI (/ 1 2))) (log (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (43 enodes)
* * [misc]simplify:  iters left: 4 (94 enodes)
* * [misc]simplify:  iters left: 3 (274 enodes)
* [exit]simplify:  Simplified to (- (/ (log (* n 2)) 2) (- (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (log (* n 2)) 2) (- (+ (log (sqrt (sqrt k))) (log (sqrt (sqrt k)))) (- (- (/ (log PI) 2) (* (/ k 2) (log PI))) (* (log (* n 2)) (/ k 2)))))))
* * * * [misc]progress:  [ 93 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (- (log (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (log (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (21 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (71 enodes)
* * [misc]simplify:  iters left: 3 (170 enodes)
* [exit]simplify:  Simplified to (- (+ (/ (log PI) 2) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))) (+ (* (/ k 2) (log (* n (* PI 2)))) (log (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (+ (/ (log PI) 2) (- (/ (log (* n 2)) 2) (log (sqrt (sqrt k))))) (+ (* (/ k 2) (log (* n (* PI 2)))) (log (sqrt (sqrt k)))))))
* * * * [misc]progress:  [ 94 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (+ (log (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (log (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (20 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (59 enodes)
* * [misc]simplify:  iters left: 3 (112 enodes)
* * [misc]simplify:  iters left: 2 (262 enodes)
* [exit]simplify:  Simplified to (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (- (log (sqrt (sqrt k))) (/ (log (* n 2)) 2)) (* (/ k 2) (log (* PI (* n 2))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (- (/ (log PI) 2) (log (sqrt (sqrt k)))) (+ (- (log (sqrt (sqrt k))) (/ (log (* n 2)) 2)) (* (/ k 2) (log (* PI (* n 2))))))))
* * * * [misc]progress:  [ 95 / 257 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* * * * [misc]progress:  [ 96 / 257 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* * * * [misc]progress:  [ 97 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow PI (/ 1 2))) (* (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2))) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow PI (/ 1 2))) (* (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2))) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (59 enodes)
* * [misc]simplify:  iters left: 4 (222 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (* (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (* (pow (* (* n PI) 2) (/ k 2)) (pow (* (* n PI) 2) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (* (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (* (pow (* (* n PI) 2) (/ k 2)) (pow (* (* n PI) 2) (/ k 2)))))))
* * * * [misc]progress:  [ 98 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (210 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))) (* (pow (* (* 2 PI) n) (/ k 2)) (* (sqrt (sqrt k)) (sqrt k)))) (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (pow PI (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))) (* (pow (* (* 2 PI) n) (/ k 2)) (* (sqrt (sqrt k)) (sqrt k)))) (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (pow PI (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))))
* * * * [misc]progress:  [ 99 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (* (/ (* (* (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* n 2) (/ 1 2))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (53 enodes)
* * [misc]simplify:  iters left: 4 (178 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))) (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))) (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))))
* * * * [misc]progress:  [ 100 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (* (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow PI (/ 1 2))) (* (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2))) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (* (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow PI (/ 1 2))) (* (* (pow (* (* n 2) PI) (/ k 2)) (pow (* (* n 2) PI) (/ k 2))) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (26 enodes)
* * [misc]simplify:  iters left: 5 (58 enodes)
* * [misc]simplify:  iters left: 4 (206 enodes)
* [exit]simplify:  Simplified to (* (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt k))) (/ (/ (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* PI n) 2) (/ k 2))) (* (pow (* (* PI n) 2) (/ k 2)) (pow (* (* PI n) 2) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt k))) (/ (/ (* (pow PI (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* PI n) 2) (/ k 2))) (* (pow (* (* PI n) 2) (/ k 2)) (pow (* (* PI n) 2) (/ k 2)))))))
* * * * [misc]progress:  [ 101 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (* (* (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (* (* (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (24 enodes)
* * [misc]simplify:  iters left: 5 (57 enodes)
* * [misc]simplify:  iters left: 4 (194 enodes)
* [exit]simplify:  Simplified to (* (/ (/ (pow PI (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2))) (* (/ (sqrt k) (pow PI (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2)))) (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))) (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (pow PI (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2))) (* (/ (sqrt k) (pow PI (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2)))) (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ k 2))) (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3)))))
* * * * [misc]progress:  [ 102 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (* (* (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* [enter]simplify:  Simplifying (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (* (* (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (22 enodes)
* * [misc]simplify:  iters left: 5 (49 enodes)
* * [misc]simplify:  iters left: 4 (158 enodes)
* [exit]simplify:  Simplified to (* (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))) (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))) (* (pow (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 3) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* n (* 2 PI)) (/ k 2)))))))
* * * * [misc]progress:  [ 103 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))) (cbrt (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))) (cbrt (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* * * * [misc]progress:  [ 104 / 257 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* * * * [misc]progress:  [ 105 / 257 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))) (sqrt (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))))>
* * * * [misc]progress:  [ 106 / 257 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* (pow (* n 2) (/ 1 2)) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* * [misc]simplify:  iters left: 1 (39 enodes)
* [exit]simplify:  Simplified to (/ (* (pow PI (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* PI (* n 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (* (pow PI (/ 1 2)) (pow (* n 2) (/ 1 2))) (pow (* PI (* n 2)) (/ k 2))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))))
* [enter]simplify:  Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (4 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt k)))
* * * * [misc]progress:  [ 107 / 257 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* * * * [misc]progress:  [ 108 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (* (cbrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))) (cbrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (cbrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (* (cbrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (cbrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))) (cbrt (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 109 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (sqrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (sqrt (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))) (sqrt (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 110 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 111 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 112 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 113 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 114 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 115 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (cbrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 116 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 117 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 118 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 119 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 120 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 121 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (30 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (sqrt (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2)))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 122 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 123 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 124 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 125 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt 1))) (/ (cbrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 126 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 127 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (pow (* n 2) (/ k 2))) 1)) (/ (cbrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 128 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 129 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 130 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 131 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 132 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 133 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 134 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 135 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 136 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 137 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 138 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 139 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 140 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 141 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 142 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 143 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt 1))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 144 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (cbrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 145 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (* (cbrt (pow PI (/ 1 2))) (cbrt (pow PI (/ 1 2)))) 1) 1)) (/ (/ (cbrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 146 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 147 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 148 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 149 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt 1))) (/ (sqrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 150 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 151 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* n 2) (/ k 2))) 1)) (/ (sqrt (pow PI (/ 1 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 152 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 153 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 154 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 155 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 156 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 157 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (cbrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 158 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 159 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 160 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 161 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 162 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
* * * * [misc]progress:  [ 163 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt k))) (sqrt (pow (* n (* PI 2)) (/ k 2))))))
* * * * [misc]progress:  [ 164 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (cbrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 165 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (cbrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 166 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 167 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt 1))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 168 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (36 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (pow PI (/ 1 2))) (sqrt (sqrt (sqrt k)))) (pow (* n (* PI 2)) (/ k 2)))))
* * * * [misc]progress:  [ 169 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (sqrt (pow PI (/ 1 2))) 1) 1)) (/ (/ (sqrt (pow PI (/ 1 2))) (pow (* (* PI 2) n) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 170 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 171 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 172 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 173 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 174 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 175 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) 1)) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (pow (* n 2) (/ k 2))) 1)) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 176 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 177 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (sqrt (cbrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 178 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 179 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 180 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 181 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) 1)) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (cbrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 182 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 183 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (sqrt (cbrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 184 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 185 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 186 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (25 enodes)
* * [misc]simplify:  iters left: 4 (34 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))
* * * * [misc]progress:  [ 187 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (pow (* (* n 2) PI) (/ k 2)))) 1)) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (sqrt (pow (* (* n PI) 2) (/ k 2))))))
* * * * [misc]progress:  [ 188 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 189 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 190 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 191 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 192 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 193 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) 1)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ 1 1) 1)) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 194 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (cbrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 195 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 196 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 197 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt 1))) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 198 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (33 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n PI) 2) (/ k 2))) (sqrt (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 199 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ 1 1)) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 200 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (cbrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (/ 1 (* (cbrt (sqrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))))
* * * * [misc]progress:  [ 201 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (cbrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ 1 (* (sqrt (cbrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))))
* * * * [misc]progress:  [ 202 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ 1 (* (sqrt (sqrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))))
* * * * [misc]progress:  [ 203 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt 1))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt 1))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))
* * * * [misc]progress:  [ 204 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (32 enodes)
* [exit]simplify:  Simplified to (/ 1 (* (sqrt (sqrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (sqrt (sqrt (sqrt k))))) (/ 1 (* (sqrt (sqrt (sqrt k))) (pow (* (* PI 2) n) (/ k 2))))))
* * * * [misc]progress:  [ 205 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) 1)) (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ 1 (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (30 enodes)
* * [misc]simplify:  iters left: 3 (31 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) 1)) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))
* * * * [misc]progress:  [ 206 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 1) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (33 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) 1) (/ (/ (pow PI (/ 1 2)) (sqrt (sqrt k))) (pow (* 2 (* n PI)) (/ k 2)))))
* * * * [misc]progress:  [ 207 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ 1 (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (/ 1 (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 208 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))) (* (cbrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 209 / 257 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (* (sqrt (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 210 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (/ 1 2)) (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ 1 2)) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 211 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow n (/ 1 2)) (fabs (cbrt (sqrt k)))) (* (/ (pow 2 (/ 1 2)) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 212 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 213 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt 1)) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt 1))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (9 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt 1)) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 214 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (10 enodes)
* * [misc]simplify:  iters left: 4 (12 enodes)
* [exit]simplify:  Simplified to (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (pow n (/ 1 2)) (sqrt (sqrt (sqrt k)))) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 215 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow n (/ 1 2)) 1) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (pow n (/ 1 2)) 1)
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* * [misc]simplify:  iters left: 3 (10 enodes)
* [exit]simplify:  Simplified to (pow n (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow n (/ 1 2)) (* (/ (pow 2 (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 216 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (32 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (38 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k))))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 217 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (22 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n 2) (/ 1 2))) (/ (cbrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (/ 1 2))) (/ (cbrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k))))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 218 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k)))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2)))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 219 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt 1)) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (17 enodes)
* * [misc]simplify:  iters left: 3 (18 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (cbrt (pow (* n 2) (/ 1 2)))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 220 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k)))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (cbrt (pow (* n 2) (/ 1 2)))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 221 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) 1) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (14 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* * [misc]simplify:  iters left: 2 (36 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (/ 1 2))) (cbrt (pow (* n 2) (/ 1 2)))) (* (/ (cbrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 222 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 223 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (fabs (cbrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 224 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 225 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (12 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt 1)) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 226 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 227 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* n 2) (/ 1 2))) 1) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow (* n 2) (/ 1 2))) 1)
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* n 2) (/ 1 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (/ 1 2))) (* (/ (sqrt (pow (* n 2) (/ 1 2))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 228 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (* (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (11 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (cbrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 229 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
* * [misc]simplify:  iters left: 6 (7 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ 1 (fabs (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (fabs (cbrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (cbrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 230 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 231 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt 1))
* * [misc]simplify:  iters left: 3 (3 enodes)
* * [misc]simplify:  iters left: 2 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt 1))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt 1)) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 232 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (8 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt (sqrt k)))) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt (sqrt k)))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 233 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 234 / 257 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* * * * [misc]progress:  [ 235 / 257 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ 1 2)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (pow (* n 2) (/ 1 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (9 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ 1 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow (* n 2) (/ 1 2)) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 236 / 257 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))))>
* [enter]simplify:  Simplifying (sqrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 237 / 257 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))) (sqrt (sqrt k))))>
* [enter]simplify:  Simplifying (* (pow (* n 2) (/ 1 2)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (28 enodes)
* * [misc]simplify:  iters left: 4 (46 enodes)
* * [misc]simplify:  iters left: 3 (67 enodes)
* * [misc]simplify:  iters left: 2 (87 enodes)
* * [misc]simplify:  iters left: 1 (102 enodes)
* [exit]simplify:  Simplified to (/ (* (pow PI (/ 1 2)) (pow (* n 2) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ k 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (* (pow PI (/ 1 2)) (pow (* n 2) (/ 1 2))) (* (sqrt (sqrt k)) (pow (* 2 (* n PI)) (/ k 2)))) (sqrt (sqrt k))))
* * * * [misc]progress:  [ 238 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 239 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (pow (* (* n 2) PI) 1) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 240 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (exp (log (* (* n 2) PI))) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 241 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (log (exp (* (* n 2) PI))) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 242 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 243 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 244 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 245 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* 1 (* (* n 2) PI)) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 246 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* n (* 2 PI)) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 247 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
* * * * [misc]progress:  [ 248 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (31 enodes)
* * [misc]simplify:  iters left: 4 (57 enodes)
* * [misc]simplify:  iters left: 3 (102 enodes)
* * [misc]simplify:  iters left: 2 (158 enodes)
* * [misc]simplify:  iters left: 1 (204 enodes)
* [exit]simplify:  Simplified to (/ (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* n PI) 2) (/ k 2))) (sqrt k))
* [misc]simplify:  Simplified (2) to (λ (k n) (/ (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ 1 2))) (pow (* (* n PI) 2) (/ k 2))) (sqrt k)))
* * * * [misc]progress:  [ 249 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (/ 1 k) 1/4))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (35 enodes)
* * [misc]simplify:  iters left: 3 (50 enodes)
* * [misc]simplify:  iters left: 2 (62 enodes)
* * [misc]simplify:  iters left: 1 (64 enodes)
* [exit]simplify:  Simplified to (* (pow (/ 1 k) 1/4) (sqrt (* n 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (pow (/ 1 k) 1/4) (sqrt (* n 2))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 250 / 257 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow (/ 1 k) 1/4)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow (/ 1 k) 1/4))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (27 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (57 enodes)
* * [misc]simplify:  iters left: 2 (102 enodes)
* * [misc]simplify:  iters left: 1 (255 enodes)
* [exit]simplify:  Simplified to (* (sqrt (* 2 n)) (pow (/ 1 k) 1/4))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (pow (/ 1 k) 1/4)) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 251 / 257 ] simplifiying candidate #<alt (λ (k n) (* (- (* (sqrt +nan.0) (exp (* 1/2 (- (log -2) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2))))))))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (- (* (sqrt +nan.0) (exp (* 1/2 (- (log -2) (log (/ -1 n)))))) (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (+ (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (sqrt +nan.0) (pow k 2)))))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 252 / 257 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 3) (pow k 2)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) k))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) (log (* 2 PI))))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (log n) k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI (pow (log (* 2 PI)) 2))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 2) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log 2) (log n)))) (* PI k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow PI 3) (pow k 2)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) PI)))))))))))))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 253 / 257 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 3)))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (exp (* 1/2 (- (log 2) (log (/ 1 n))))) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (pow k 2)))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 254 / 257 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (sqrt PI))) (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2))) (sqrt PI)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))) (sqrt PI))) (- (+ (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k)) (sqrt PI))) (- (* +nan.0 (* (/ (exp (* 1/2 (- (log -2) (log (/ -1 n))))) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow k 2))) (sqrt PI))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 255 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 256 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 257 / 257 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* 2 (* n PI)) (/ k 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (* 2 (* n PI))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (9 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (* (* PI n) 2)
* [misc]simplify:  Simplified (2 2 1 2 1) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* PI n) 2) (/ k 2))) (sqrt (sqrt k)))))
* * * [misc]progress:  adding candidates to table
* * [misc]progress:  iteration 4 / 4
* * * [misc]progress:  picking best candidate
* * * * [misc]pick:  Picked  #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * [misc]progress:  localizing error
* * * [misc]progress:  generating rewritten candidates
* * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
* * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
* * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
* * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
* * * [misc]progress:  generating series expansions
* * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
* [misc]approximate:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]backup-simplify:  Simplify (pow PI 1/2) into (pow PI 1/2)
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
* [misc]backup-simplify:  Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
* [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)))
* [misc]backup-simplify:  Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
* [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))))
* [misc]approximate:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
* [misc]approximate:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
* * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
* [misc]approximate:  Taking taylor expansion of (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) +nan.0) into (* +nan.0 (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) +nan.0) into (* +nan.0 (sqrt PI))
* [misc]backup-simplify:  Simplify (* +nan.0 (sqrt PI)) into (* +nan.0 (sqrt PI))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (/ -1 2) (+ (* 1/2 (/ 0 2)))) into -1/2
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ (* -1/2 (* (log PI) (sqrt PI))) +nan.0) (+ (* (* +nan.0 (sqrt PI)) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* -1/2 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
* [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)))
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) +nan.0) (+ (* (* +nan.0 (sqrt PI)) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) k) (+ (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) (* (* +nan.0 (sqrt PI)) (/ 1 k)))) into (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) k) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))))) (/ 1 k)) (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log PI))))))))))
* [misc]approximate:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in (k) around 0
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))
* [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log PI))))))))))
* * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
* [misc]approximate:  Taking taylor expansion of (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (pow PI 1/2) +nan.0) into (* +nan.0 (sqrt PI))
* [misc]taylor:  Taking taylor expansion of (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log PI)) into (* 1/2 (* (- 1 k) (log PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt k)) into (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k)))) into (* (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (exp (* 1/2 (* (- 1 k) (log PI))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (log PI)) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
* [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k))) (/ 0 (sqrt k))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log PI))) into (- (log PI))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log PI))) (* 0 (log PI))) into (- (* 1/2 (log PI)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
* [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)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) +nan.0) (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) 0)) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log PI))) (* 0 (log PI)))) into 0
* [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)))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0
* [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)))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (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 PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) +nan.0) (* (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI)))))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))))))))))
* [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
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt k)) (+ (* (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k))) (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))) (* 0 (/ 0 (sqrt k))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0
* [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
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 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
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt (/ 1 k))))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (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
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (log PI))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (log PI))) (* 0 (log PI))))) into 0
* [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)))
* [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
* [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (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))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI)))))) +nan.0) (+ (* (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI)))))))) +nan.0) (* (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI))))))))))))) 0)))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
* [misc]approximate:  Taking taylor expansion of (* (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k)))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (* (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
* [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))
* [misc]taylor:  Taking taylor expansion of (* (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (* (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 k)) 2)) (sqrt (/ 1 k))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (log PI)) into (* 1/2 (* (- 1 (/ 1 k)) (log PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt (/ 1 k))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k))) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) (sqrt k))
* [misc]taylor:  Taking taylor expansion of (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) (sqrt k)) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (* -1 (log PI)) into (* -1 (log PI))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (log PI))) into (* -1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))
* [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) 0) into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (* 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))
* [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
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ 1 k))) (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k)) (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))) (* 0 (/ 0 (sqrt (/ 1 k)))))) into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [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
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (sqrt k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n))))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3))))))))
* [misc]approximate:  Taking taylor expansion of (* (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k))))) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (* (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k))))) in k
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in k
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))
* [misc]taylor:  Taking taylor expansion of (* (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (* (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k))))) in n
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (/ (pow PI (/ (- 1 (/ 1 (- k))) 2)) (sqrt (/ 1 (- k)))) in n
* [misc]taylor:  Taking taylor expansion of (pow PI (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log PI))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log PI)) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log PI) in n
* [misc]taylor:  Taking taylor expansion of PI in n
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) into (* 1/2 (* (+ (/ 1 k) 1) (log PI)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k))) into (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k)))
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k)))) into (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k)))
* [misc]taylor:  Taking taylor expansion of (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) (sqrt (/ -1 k))) in k
* [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) in k
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (log PI))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (log PI)) in k
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (log PI) in k
* [misc]taylor:  Taking taylor expansion of PI in k
* [misc]backup-simplify:  Simplify PI into PI
* [misc]backup-simplify:  Simplify (log PI) into (log PI)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (* 1 (log PI)) into (log PI)
* [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (log -2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -2) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
* [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
* [misc]taylor:  Taking taylor expansion of -1 in k
* [misc]backup-simplify:  Simplify -1 into -1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ -1 1) into -1
* [misc]backup-simplify:  Simplify (sqrt 0) into 0
* [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))
* [misc]backup-simplify:  Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))
* [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (log PI))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 0) (* 0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))))
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) 0) (+ (* 0 0) (* 0 (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (sqrt (/ -1 k)))))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
* [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))))
* [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))))))
* [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI)))))))))))
* * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
* [misc]approximate:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in k
* [misc]taylor:  Taking taylor expansion of (* n 2) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* n 2) into (* 2 n)
* [misc]backup-simplify:  Simplify (log (* 2 n)) into (log (* 2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* n 2) (/ (- 1 k) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 k) 2) (log (* n 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 k) 2) (log (* n 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 k) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 k) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
* [misc]backup-simplify:  Simplify (/ (- 1 k) 2) into (* 1/2 (- 1 k))
* [misc]taylor:  Taking taylor expansion of (log (* n 2)) in n
* [misc]taylor:  Taking taylor expansion of (* n 2) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 0 2) into 0
* [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 2)) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log 2) (log n))) into (* 1/2 (* (- 1 k) (+ (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) into (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 k) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (+ (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1 (+ (log 2) (log n))) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (+ (log 2) (log n))) into (* 1/2 (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log 2) (log n)))) into (- (+ (log 2) (log n)))
* [misc]backup-simplify:  Simplify (+ (* 1/2 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n)))) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
* [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)))))
* [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)))))
* [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 k)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log 2) (log n)))) (* 0 (+ (log 2) (log n))))) into 0
* [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)))))
* [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)))))
* [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)))))
* [misc]approximate:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (/ -1 2) into -1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ 1 n) 2) into (/ 2 n)
* [misc]backup-simplify:  Simplify (log (/ 2 n)) into (log (/ 2 n))
* [misc]backup-simplify:  Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 2 n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 n) 2) (/ (- 1 (/ 1 k)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 k)) 2) (log (* (/ 1 n) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 k)) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
* [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
* [misc]backup-simplify:  Simplify (/ (- 1 (/ 1 k)) 2) into (* 1/2 (- 1 (/ 1 k)))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 n) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 n) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* 1 2) into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log 2) (log n))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log 2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of (- (log 2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log 2) in k
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (log 2) into (log 2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (+ 0 -1) into -1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (* -1 (- (log 2) (log n))) into (* -1 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log 2) (log n)))) into (* -1/2 (- (log 2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n)))))
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [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
* [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (- 1 (/ 1 k))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log 2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log 2) (log (/ 1 n)))))) into (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n))))))
* [misc]approximate:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in (n k) around 0
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in k
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) in k
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2))) in k
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in k
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in k
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in k
* [misc]taylor:  Taking taylor expansion of (- k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- -1) into 1
* [misc]backup-simplify:  Simplify (+ 0 1) into 1
* [misc]backup-simplify:  Simplify (/ 1 2) into 1/2
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in k
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in k
* [misc]taylor:  Taking taylor expansion of (- n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (- n) into (- n)
* [misc]backup-simplify:  Simplify (/ 1 (- n)) into (/ -1 n)
* [misc]taylor:  Taking taylor expansion of 2 in k
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* (/ -1 n) 2) into (/ -2 n)
* [misc]backup-simplify:  Simplify (log (/ -2 n)) into (log (/ -2 n))
* [misc]backup-simplify:  Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
* [misc]backup-simplify:  Simplify (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -2 n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (pow (* (/ 1 (- n)) 2) (/ (- 1 (/ 1 (- k))) 2)) in n
* [misc]taylor:  Taking taylor expansion of (exp (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2)))) in n
* [misc]taylor:  Taking taylor expansion of (* (/ (- 1 (/ 1 (- k))) 2) (log (* (/ 1 (- n)) 2))) in n
* [misc]taylor:  Taking taylor expansion of (/ (- 1 (/ 1 (- k))) 2) in n
* [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 (- k))) in n
* [misc]taylor:  Taking taylor expansion of 1 in n
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (/ 1 (- k)) in n
* [misc]taylor:  Taking taylor expansion of (- k) in n
* [misc]taylor:  Taking taylor expansion of k in n
* [misc]backup-simplify:  Simplify k into k
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (/ 1 (- k)) into (/ -1 k)
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (- (/ -1 k)) into (/ 1 k)
* [misc]backup-simplify:  Simplify (+ 1 (/ 1 k)) into (+ (/ 1 k) 1)
* [misc]backup-simplify:  Simplify (/ (+ (/ 1 k) 1) 2) into (* 1/2 (+ (/ 1 k) 1))
* [misc]taylor:  Taking taylor expansion of (log (* (/ 1 (- n)) 2)) in n
* [misc]taylor:  Taking taylor expansion of (* (/ 1 (- n)) 2) in n
* [misc]taylor:  Taking taylor expansion of (/ 1 (- n)) in n
* [misc]taylor:  Taking taylor expansion of (- n) in n
* [misc]taylor:  Taking taylor expansion of n in n
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (/ 1 -1) into -1
* [misc]taylor:  Taking taylor expansion of 2 in n
* [misc]backup-simplify:  Simplify 2 into 2
* [misc]backup-simplify:  Simplify (* -1 2) into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -2) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) in k
* [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))) in k
* [misc]taylor:  Taking taylor expansion of 1/2 in k
* [misc]backup-simplify:  Simplify 1/2 into 1/2
* [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -2) (log n))) in k
* [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
* [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
* [misc]taylor:  Taking taylor expansion of k in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]backup-simplify:  Simplify (/ 1 1) into 1
* [misc]taylor:  Taking taylor expansion of 1 in k
* [misc]backup-simplify:  Simplify 1 into 1
* [misc]taylor:  Taking taylor expansion of (- (log -2) (log n)) in k
* [misc]taylor:  Taking taylor expansion of (log -2) in k
* [misc]taylor:  Taking taylor expansion of -2 in k
* [misc]backup-simplify:  Simplify -2 into -2
* [misc]backup-simplify:  Simplify (log -2) into (log -2)
* [misc]taylor:  Taking taylor expansion of (log n) in k
* [misc]taylor:  Taking taylor expansion of n in k
* [misc]backup-simplify:  Simplify n into n
* [misc]backup-simplify:  Simplify (log n) into (log n)
* [misc]backup-simplify:  Simplify (+ 1 0) into 1
* [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
* [misc]backup-simplify:  Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1 (- (log -2) (log n))) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n)))))
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 2)) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -2) (log n)))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0
* [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- 1) into -1
* [misc]backup-simplify:  Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0
* [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0
* [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
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (- k) into (- k)
* [misc]backup-simplify:  Simplify (- (+ (* (/ -1 k) (/ 0 (- k))) (* 0 (/ 0 (- k))) (* 0 (/ 0 (- k))))) into 0
* [misc]backup-simplify:  Simplify (- 0) into 0
* [misc]backup-simplify:  Simplify (+ 0 0) into 0
* [misc]backup-simplify:  Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 k) 1)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0
* [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
* [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
* [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -2) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
* [misc]taylor:  Taking taylor expansion of 0 in k
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify 0 into 0
* [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -2) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n))))))
* * * [misc]progress:  simplifying candidates
* * * * [misc]progress:  [ 1 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (exp (* (log PI) (/ (- 1 k) 2))) (sqrt k))))>
* * * * [misc]progress:  [ 2 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (pow PI (/ k 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* [exit]simplify:  Simplified to (pow PI (/ k 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ 1 2)) (pow PI (/ k 2))) (sqrt k))))
* * * * [misc]progress:  [ 3 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (sqrt k))))
* * * * [misc]progress:  [ 4 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (sqrt k))))
* * * * [misc]progress:  [ 5 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI 1) (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (- 1 k) 2)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI 1) (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 6 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (- 1 k)) (/ 1 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (- 1 k)) (/ 1 2)) (sqrt k))))
* * * * [misc]progress:  [ 7 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI (/ (- 1 k) 2)) 1) (sqrt k))))>
* * * * [misc]progress:  [ 8 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (exp (log (pow PI (/ (- 1 k) 2)))) (sqrt k))))>
* * * * [misc]progress:  [ 9 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (log (exp (pow PI (/ (- 1 k) 2)))) (sqrt k))))>
* * * * [misc]progress:  [ 10 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt k))))>
* * * * [misc]progress:  [ 11 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (cbrt (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (sqrt k))))>
* * * * [misc]progress:  [ 12 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (pow PI (/ (- 1 k) 2)))) (sqrt k))))>
* * * * [misc]progress:  [ 13 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* 1 (pow PI (/ (- 1 k) 2))) (sqrt k))))>
* * * * [misc]progress:  [ 14 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) 1)))>
* * * * [misc]progress:  [ 15 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (exp (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (37 enodes)
* * [misc]simplify:  iters left: 3 (77 enodes)
* * [misc]simplify:  iters left: 2 (157 enodes)
* * [misc]simplify:  iters left: 1 (337 enodes)
* [exit]simplify:  Simplified to (- (/ (* (- 1 k) (log PI)) 2) (log (sqrt k)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (exp (- (/ (* (- 1 k) (log PI)) 2) (log (sqrt k))))))
* * * * [misc]progress:  [ 16 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (exp (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (22 enodes)
* * [misc]simplify:  iters left: 4 (29 enodes)
* * [misc]simplify:  iters left: 3 (41 enodes)
* * [misc]simplify:  iters left: 2 (74 enodes)
* * [misc]simplify:  iters left: 1 (163 enodes)
* [exit]simplify:  Simplified to (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (exp (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))))
* * * * [misc]progress:  [ 17 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (exp (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 18 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (log (exp (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 19 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (cbrt (/ (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (60 enodes)
* * [misc]simplify:  iters left: 3 (117 enodes)
* * [misc]simplify:  iters left: 2 (199 enodes)
* * [misc]simplify:  iters left: 1 (324 enodes)
* [exit]simplify:  Simplified to (/ (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow PI (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (cbrt (/ (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ (* (sqrt k) k) (pow PI (/ (- 1 k) 2)))))))
* * * * [misc]progress:  [ 20 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (* (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))) (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 21 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (cbrt (* (* (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 22 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 23 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (- (pow PI (/ (- 1 k) 2))) (- (sqrt k)))))>
* * * * [misc]progress:  [ 24 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (26 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (43 enodes)
* * [misc]simplify:  iters left: 2 (46 enodes)
* [exit]simplify:  Simplified to (* (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (* (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))))
* [enter]simplify:  Simplifying (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 25 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (26 enodes)
* * [misc]simplify:  iters left: 3 (29 enodes)
* [exit]simplify:  Simplified to (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))))
* [enter]simplify:  Simplifying (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 26 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) 1) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) 1)
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (28 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (45 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k)))))
* [enter]simplify:  Simplifying (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k)))))
* * * * [misc]progress:  [ 27 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (21 enodes)
* * [misc]simplify:  iters left: 4 (24 enodes)
* * [misc]simplify:  iters left: 3 (26 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))))
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 28 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))))
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 29 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (sqrt (pow PI (/ (- 1 k) 2))) 1) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) 1)
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI (/ (- 1 k) 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k)))))
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k)))))
* * * * [misc]progress:  [ 30 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
* * [misc]simplify:  iters left: 6 (6 enodes)
* * [misc]simplify:  iters left: 5 (10 enodes)
* [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))))
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k))))))
* * * * [misc]progress:  [ 31 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (7 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))))))
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))))))
* * * * [misc]progress:  [ 32 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (/ 1 1) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (/ 1 1)
* * [misc]simplify:  iters left: 2 (2 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to 1
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* 1 (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* 1 (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* * * * [misc]progress:  [ 33 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* 1 (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 34 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (* (pow PI (/ (- 1 k) 2)) (/ 1 (sqrt k)))))>
* * * * [misc]progress:  [ 35 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow PI (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 36 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (cbrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (cbrt (sqrt k))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ (- 1 k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 37 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (sqrt k))
* * [misc]simplify:  iters left: 2 (3 enodes)
* [exit]simplify:  Simplified to (sqrt (sqrt k))
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 38 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ (- 1 k) 2)) 1) (sqrt k))))>
* [enter]simplify:  Simplifying (sqrt k)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (/ (pow PI (/ (- 1 k) 2)) 1) (sqrt k))))
* * * * [misc]progress:  [ 39 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow PI (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (/ (sqrt k) (cbrt (pow PI (/ (- 1 k) 2)))))))
* * * * [misc]progress:  [ 40 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow PI (/ (- 1 k) 2)))))))>
* [enter]simplify:  Simplifying (sqrt (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (8 enodes)
* * [misc]simplify:  iters left: 5 (15 enodes)
* * [misc]simplify:  iters left: 4 (18 enodes)
* * [misc]simplify:  iters left: 3 (20 enodes)
* [exit]simplify:  Simplified to (sqrt (pow PI (/ (- 1 k) 2)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (/ (sqrt k) (sqrt (pow PI (/ (- 1 k) 2)))))))
* * * * [misc]progress:  [ 41 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (/ (sqrt k) (pow PI (/ (- 1 k) 2))))))>
* * * * [misc]progress:  [ 42 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (* (sqrt k) (pow PI (/ k 2))))))>
* [enter]simplify:  Simplifying (pow PI (/ 1 2))
* * [misc]simplify:  iters left: 3 (5 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow PI (/ 1 2))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (* (sqrt k) (pow PI (/ k 2))))))
* * * * [misc]progress:  [ 43 / 109 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) 1))>
* * * * [misc]progress:  [ 44 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 45 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 46 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (/ (- 1 k) 2)) (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (* (log (* n 2)) (/ (- 1 k) 2)) (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 47 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (76 enodes)
* * [misc]simplify:  iters left: 3 (223 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 48 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (* (log (* n 2)) (/ (- 1 k) 2)) (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (37 enodes)
* * [misc]simplify:  iters left: 4 (69 enodes)
* * [misc]simplify:  iters left: 3 (176 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 49 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (/ (- 1 k) 2)) (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (* (log (* n 2)) (/ (- 1 k) 2)) (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (61 enodes)
* * [misc]simplify:  iters left: 3 (149 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 50 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (/ (- 1 k) 2))) (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (log (pow (* n 2) (/ (- 1 k) 2))) (- (* (log PI) (/ (- 1 k) 2)) (log (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (34 enodes)
* * [misc]simplify:  iters left: 4 (63 enodes)
* * [misc]simplify:  iters left: 3 (155 enodes)
* * [misc]simplify:  iters left: 2 (475 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log (* n 2)) (log PI))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log (* n 2)) (log PI))) (log (sqrt k)))))
* * * * [misc]progress:  [ 51 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (/ (- 1 k) 2))) (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (log (pow (* n 2) (/ (- 1 k) 2))) (- (log (pow PI (/ (- 1 k) 2))) (log (sqrt k))))
* * [misc]simplify:  iters left: 6 (16 enodes)
* * [misc]simplify:  iters left: 5 (33 enodes)
* * [misc]simplify:  iters left: 4 (55 enodes)
* * [misc]simplify:  iters left: 3 (108 enodes)
* * [misc]simplify:  iters left: 2 (358 enodes)
* [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log PI) (log (* n 2)))) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (+ (log PI) (log (* n 2)))) (log (sqrt k)))))
* * * * [misc]progress:  [ 52 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (/ (- 1 k) 2))) (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* [enter]simplify:  Simplifying (+ (log (pow (* n 2) (/ (- 1 k) 2))) (log (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * [misc]simplify:  iters left: 6 (15 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (47 enodes)
* * [misc]simplify:  iters left: 3 (89 enodes)
* * [misc]simplify:  iters left: 2 (281 enodes)
* [exit]simplify:  Simplified to (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))))
* * * * [misc]progress:  [ 53 / 109 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 54 / 109 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 55 / 109 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2))) (/ (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
* [enter]simplify:  Simplifying (* (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2))) (/ (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
* * [misc]simplify:  iters left: 6 (19 enodes)
* * [misc]simplify:  iters left: 5 (42 enodes)
* * [misc]simplify:  iters left: 4 (118 enodes)
* * [misc]simplify:  iters left: 3 (445 enodes)
* [exit]simplify:  Simplified to (* (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (/ k (pow (* n 2) (/ (- 1 k) 2)))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (/ k (pow (* n 2) (/ (- 1 k) 2)))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))
* * * * [misc]progress:  [ 56 / 109 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2))) (* (* (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* [enter]simplify:  Simplifying (* (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2))) (* (* (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * [misc]simplify:  iters left: 6 (17 enodes)
* * [misc]simplify:  iters left: 5 (38 enodes)
* * [misc]simplify:  iters left: 4 (96 enodes)
* * [misc]simplify:  iters left: 3 (233 enodes)
* [exit]simplify:  Simplified to (* (* (/ (pow PI (/ (- 1 k) 2)) k) (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2)))) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2)))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (pow PI (/ (- 1 k) 2)) k) (* (pow PI (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2)))) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2)))))))
* * * * [misc]progress:  [ 57 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))) (cbrt (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))) (cbrt (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 58 / 109 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 59 / 109 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))) (sqrt (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))))>
* * * * [misc]progress:  [ 60 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ (- 1 k) 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (* (pow (* n 2) (/ 1 2)) (pow PI (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (12 enodes)
* * [misc]simplify:  iters left: 5 (20 enodes)
* * [misc]simplify:  iters left: 4 (23 enodes)
* * [misc]simplify:  iters left: 3 (25 enodes)
* [exit]simplify:  Simplified to (* (pow (* n 2) (/ 1 2)) (pow PI (/ (- 1 k) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ (- 1 k) 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))
* [enter]simplify:  Simplifying (* (pow (* n 2) (/ k 2)) (sqrt k))
* * [misc]simplify:  iters left: 5 (8 enodes)
* * [misc]simplify:  iters left: 4 (10 enodes)
* [exit]simplify:  Simplified to (* (pow (* n 2) (/ k 2)) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (pow PI (/ (- 1 k) 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))
* * * * [misc]progress:  [ 61 / 109 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 62 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))) (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (* (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))) (cbrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* * * * [misc]progress:  [ 63 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))) (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))) (sqrt (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* * * * [misc]progress:  [ 64 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 65 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 66 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) 1)) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) 1)) (/ (cbrt (pow PI (/ (- 1 k) 2))) (sqrt k))))
* * * * [misc]progress:  [ 67 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 68 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (11 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 69 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) 1)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) 1)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))))
* * * * [misc]progress:  [ 70 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1 k) 2)) (cbrt (sqrt k)))))
* * * * [misc]progress:  [ 71 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))>
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt (sqrt k)))))
* * * * [misc]progress:  [ 72 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 1)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ 1 1)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 73 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) 1) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (16 enodes)
* * [misc]simplify:  iters left: 4 (19 enodes)
* * [misc]simplify:  iters left: 3 (21 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) 1) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 74 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ 1 (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 (sqrt k))
* * [misc]simplify:  iters left: 3 (4 enodes)
* * [misc]simplify:  iters left: 2 (6 enodes)
* [exit]simplify:  Simplified to (/ 1 (sqrt k))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ 1 (sqrt k))))
* * * * [misc]progress:  [ 75 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow n (/ (- 1 k) 2)) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* * * * [misc]progress:  [ 76 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))
* * [misc]simplify:  iters left: 6 (10 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* * [misc]simplify:  iters left: 4 (21 enodes)
* * [misc]simplify:  iters left: 3 (23 enodes)
* [exit]simplify:  Simplified to (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* * * * [misc]progress:  [ 77 / 109 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* [enter]simplify:  Simplifying (sqrt (pow (* n 2) (/ (- 1 k) 2)))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (17 enodes)
* * [misc]simplify:  iters left: 4 (20 enodes)
* * [misc]simplify:  iters left: 3 (22 enodes)
* [exit]simplify:  Simplified to (sqrt (pow (* n 2) (/ (- 1 k) 2)))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))
* * * * [misc]progress:  [ 78 / 109 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))))>
* * * * [misc]progress:  [ 79 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))>
* [enter]simplify:  Simplifying (sqrt k)
* * [misc]simplify:  iters left: 1 (2 enodes)
* [exit]simplify:  Simplified to (sqrt k)
* [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (pow (* n 2) (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt k)))
* * * * [misc]progress:  [ 80 / 109 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (/ 1 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))) (pow (* n 2) (/ k 2))))>
* [enter]simplify:  Simplifying (* (pow (* n 2) (/ 1 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k)))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (24 enodes)
* * [misc]simplify:  iters left: 4 (31 enodes)
* * [misc]simplify:  iters left: 3 (35 enodes)
* * [misc]simplify:  iters left: 2 (37 enodes)
* * [misc]simplify:  iters left: 1 (38 enodes)
* [exit]simplify:  Simplified to (/ (pow PI (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n 2) (/ 1 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (pow PI (/ (- 1 k) 2)) (/ (sqrt k) (pow (* n 2) (/ 1 2)))) (pow (* n 2) (/ k 2))))
* * * * [misc]progress:  [ 81 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (/ (- 1 k) 2)) (sqrt k)) (pow (* n 2) (/ (- 1 k) 2))))>
* * * * [misc]progress:  [ 82 / 109 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (* (log (* n 2)) (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (23 enodes)
* * [misc]simplify:  iters left: 4 (43 enodes)
* * [misc]simplify:  iters left: 3 (101 enodes)
* * [misc]simplify:  iters left: 2 (369 enodes)
* [exit]simplify:  Simplified to (* (log (* n 2)) (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (* (log (* n 2)) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 83 / 109 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 84 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (* n 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (4 enodes)
* [exit]simplify:  Simplified to (* n 2)
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (pow (* n 2) (* 1 (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 85 / 109 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (pow (* n 2) (/ k 2))
* * [misc]simplify:  iters left: 3 (6 enodes)
* * [misc]simplify:  iters left: 2 (7 enodes)
* [exit]simplify:  Simplified to (pow (* n 2) (/ k 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (pow (* n 2) (/ k 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 86 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n 2) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 87 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (6 enodes)
* * [misc]simplify:  iters left: 4 (13 enodes)
* * [misc]simplify:  iters left: 3 (16 enodes)
* * [misc]simplify:  iters left: 2 (18 enodes)
* [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n 2) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 88 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) 1) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ (- 1 k) 2)
* * [misc]simplify:  iters left: 4 (5 enodes)
* * [misc]simplify:  iters left: 3 (12 enodes)
* * [misc]simplify:  iters left: 2 (15 enodes)
* * [misc]simplify:  iters left: 1 (17 enodes)
* [exit]simplify:  Simplified to (/ (- 1 k) 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n 2) 1) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 89 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (- 1 k)) (/ 1 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (/ 1 2)
* * [misc]simplify:  iters left: 2 (3 enodes)
* * [misc]simplify:  iters left: 1 (5 enodes)
* [exit]simplify:  Simplified to (/ 1 2)
* [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (pow (* n 2) (- 1 k)) (/ 1 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 90 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
* * [misc]simplify:  iters left: 5 (7 enodes)
* * [misc]simplify:  iters left: 4 (14 enodes)
* * [misc]simplify:  iters left: 3 (17 enodes)
* * [misc]simplify:  iters left: 2 (19 enodes)
* [exit]simplify:  Simplified to (pow n (/ (- 1 k) 2))
* [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (pow n (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 91 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (/ (- 1 k) 2)) 1) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 92 / 109 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n 2) (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 93 / 109 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n 2) (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 94 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n 2) (/ (- 1 k) 2))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (cbrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 95 / 109 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n 2) (/ (- 1 k) 2)) (pow (* n 2) (/ (- 1 k) 2))) (pow (* n 2) (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 96 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (/ (- 1 k) 2))) (sqrt (pow (* n 2) (/ (- 1 k) 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 97 / 109 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n 2) (/ (- 1 k) 2))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* * * * [misc]progress:  [ 98 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) (sqrt k))))>
* [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))))
* * [misc]simplify:  iters left: 6 (18 enodes)
* * [misc]simplify:  iters left: 5 (39 enodes)
* * [misc]simplify:  iters left: 4 (103 enodes)
* * [misc]simplify:  iters left: 3 (290 enodes)
* [exit]simplify:  Simplified to (+ (- (sqrt PI) (* (* (log PI) (sqrt PI)) (* 1/2 k))) (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (+ (- (sqrt PI) (* (* (log PI) (sqrt PI)) (* 1/2 k))) (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8))) (sqrt k))))
* * * * [misc]progress:  [ 99 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt k))))>
* [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log PI))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (421 enodes)
* [exit]simplify:  Simplified to (pow (pow PI 1/2) (- 1 k))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI 1/2) (- 1 k)) (sqrt k))))
* * * * [misc]progress:  [ 100 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt k))))>
* [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log PI))))
* * [misc]simplify:  iters left: 6 (9 enodes)
* * [misc]simplify:  iters left: 5 (19 enodes)
* * [misc]simplify:  iters left: 4 (38 enodes)
* * [misc]simplify:  iters left: 3 (104 enodes)
* * [misc]simplify:  iters left: 2 (242 enodes)
* * [misc]simplify:  iters left: 1 (421 enodes)
* [exit]simplify:  Simplified to (pow (pow PI 1/2) (- 1 k))
* [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow (pow PI 1/2) (- 1 k)) (sqrt k))))
* * * * [misc]progress:  [ 101 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) k) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (/ 1 k))) (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log PI) 2) k) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) +nan.0))
* * * * [misc]progress:  [ 102 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log PI))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log PI))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) +nan.0))
* * * * [misc]progress:  [ 103 / 109 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log PI))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log PI)))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log PI))))))))))
* [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) +nan.0))
* * * * [misc]progress:  [ 104 / 109 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 105 / 109 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3)))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 106 / 109 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))))))))))>
* [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))) (- (* +nan.0 (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (exp (* 1/2 (* (- 1 k) (log PI)))))))))))
* [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
* * * * [misc]progress:  [ 107 / 109 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (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))))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [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)))))
* * [misc]simplify:  iters left: 6 (35 enodes)
* * [misc]simplify:  iters left: 5 (99 enodes)
* * [misc]simplify:  iters left: 4 (297 enodes)
* [exit]simplify:  Simplified to (+ (* (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (pow n 1/2) (pow 2 1/2))) (+ (* (* (* k k) 1/8) (+ (* (* (log n) (log n)) (* (pow n 1/2) (pow 2 1/2))) (* (* (log 2) (log 2)) (* (pow n 1/2) (pow 2 1/2))))) (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n)))))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (+ (* (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (pow n 1/2) (pow 2 1/2))) (+ (* (* (* k k) 1/8) (+ (* (* (log n) (log n)) (* (pow n 1/2) (pow 2 1/2))) (* (* (log 2) (log 2)) (* (pow n 1/2) (pow 2 1/2))))) (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 108 / 109 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n)))))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log 2) (log (/ 1 n))))))
* * [misc]simplify:  iters left: 6 (13 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* [exit]simplify:  Simplified to (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log 2)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * * [misc]progress:  [ 109 / 109 ] simplifiying candidate #<alt (λ (k n) (* (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n)))))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))>
* [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log -2) (log (/ -1 n))))))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (29 enodes)
* * [misc]simplify:  iters left: 4 (65 enodes)
* * [misc]simplify:  iters left: 3 (184 enodes)
* [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))
* [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))
* * * [misc]progress:  adding candidates to table
* [misc]progress:  [Phase 3 of 3] Extracting.
* * [misc]regime-changes:  Finding splitpoints for: (#<alt (λ (k n) (* (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2)))) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (pow (* n (* PI 2)) (/ (- 1 k) 2))) (/ (sqrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt k))))> #<alt (λ (k n) (/ (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt k) (pow PI (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (/ (- 1 k) 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (/ (- 1 k) 2)) (sqrt k)))))> #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1 k) 2)) (/ (sqrt (pow PI (/ (- 1 k) 2))) 1)) (/ (sqrt (pow PI (/ (- 1 k) 2))) (sqrt k))))> #<alt (λ (k n) (* (/ (pow (* n 2) (/ 1 2)) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (pow (* n 2) (/ (- 1 k) 2)) (/ (pow PI (/ (- 1 k) 2)) (sqrt k))))> #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>)
* [misc]regimes:  Found splitpoints: (#s(sp 0 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) +nan.0)) , with alts (#<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>)
* [enter]simplify:  Simplifying (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * [misc]simplify:  iters left: 6 (14 enodes)
* * [misc]simplify:  iters left: 5 (18 enodes)
* [exit]simplify:  Simplified to (/ (/ (pow (* (* n 2) PI) (/ 1 2)) (pow (* (* n 2) PI) (/ k 2))) (sqrt k))
* * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
* * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 8000 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 6516 additional inputs, on iter 1 have 1484 / 8000
* * * * [misc]points:  Computing exacts on every 407 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 203 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 101 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 50 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 25 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 12 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 6516 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 6516 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5305 additional inputs, on iter 2 have 2695 / 8000
* * * * [misc]points:  Computing exacts on every 331 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 165 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 82 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 41 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 20 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 10 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 5305 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 5305 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4279 additional inputs, on iter 3 have 3721 / 8000
* * * * [misc]points:  Computing exacts on every 267 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 133 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 66 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 33 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 16 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 4279 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 4279 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 3467 additional inputs, on iter 4 have 4533 / 8000
* * * * [misc]points:  Computing exacts on every 216 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 108 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 54 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 27 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 13 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 3467 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 3467 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 2803 additional inputs, on iter 5 have 5197 / 8000
* * * * [misc]points:  Computing exacts on every 175 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 87 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 43 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 21 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 10 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 2803 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2803 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 2286 additional inputs, on iter 6 have 5714 / 8000
* * * * [misc]points:  Computing exacts on every 142 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 71 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 35 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 17 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 2286 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 2286 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1886 additional inputs, on iter 7 have 6114 / 8000
* * * * [misc]points:  Computing exacts on every 117 of 1886 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 58 of 1886 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 29 of 1886 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 14 of 1886 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 1886 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 1886 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1886 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1537 additional inputs, on iter 8 have 6463 / 8000
* * * * [misc]points:  Computing exacts on every 96 of 1537 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 48 of 1537 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 24 of 1537 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 12 of 1537 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 1537 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 1537 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1537 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 1235 additional inputs, on iter 9 have 6765 / 8000
* * * * [misc]points:  Computing exacts on every 77 of 1235 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 38 of 1235 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 19 of 1235 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 9 of 1235 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 1235 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 1235 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 1235 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 985 additional inputs, on iter 10 have 7015 / 8000
* * * * [misc]points:  Computing exacts on every 61 of 985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 30 of 985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 15 of 985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 985 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 985 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 794 additional inputs, on iter 11 have 7206 / 8000
* * * * [misc]points:  Computing exacts on every 49 of 794 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 24 of 794 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 12 of 794 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 794 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 794 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 794 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 658 additional inputs, on iter 12 have 7342 / 8000
* * * * [misc]points:  Computing exacts on every 41 of 658 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 20 of 658 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 10 of 658 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 658 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 658 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 658 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 530 additional inputs, on iter 13 have 7470 / 8000
* * * * [misc]points:  Computing exacts on every 33 of 530 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 16 of 530 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 8 of 530 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 530 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 530 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 530 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 429 additional inputs, on iter 14 have 7571 / 8000
* * * * [misc]points:  Computing exacts on every 26 of 429 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 13 of 429 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 6 of 429 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 429 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 429 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 352 additional inputs, on iter 15 have 7648 / 8000
* * * * [misc]points:  Computing exacts on every 22 of 352 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 11 of 352 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 352 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 352 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 352 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 290 additional inputs, on iter 16 have 7710 / 8000
* * * * [misc]points:  Computing exacts on every 18 of 290 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 9 of 290 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 290 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 290 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 290 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 238 additional inputs, on iter 17 have 7762 / 8000
* * * * [misc]points:  Computing exacts on every 14 of 238 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 7 of 238 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 238 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 238 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 187 additional inputs, on iter 18 have 7813 / 8000
* * * * [misc]points:  Computing exacts on every 11 of 187 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 5 of 187 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 187 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 187 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 151 additional inputs, on iter 19 have 7849 / 8000
* * * * [misc]points:  Computing exacts on every 9 of 151 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 4 of 151 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 151 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 151 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 124 additional inputs, on iter 20 have 7876 / 8000
* * * * [misc]points:  Computing exacts on every 7 of 124 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 124 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 124 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 104 additional inputs, on iter 21 have 7896 / 8000
* * * * [misc]points:  Computing exacts on every 6 of 104 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 3 of 104 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 104 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 83 additional inputs, on iter 22 have 7917 / 8000
* * * * [misc]points:  Computing exacts on every 5 of 83 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 83 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 83 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 71 additional inputs, on iter 23 have 7929 / 8000
* * * * [misc]points:  Computing exacts on every 4 of 71 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts on every 2 of 71 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 71 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 62 additional inputs, on iter 24 have 7938 / 8000
* * * * [misc]points:  Computing exacts on every 3 of 62 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 62 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 44 additional inputs, on iter 25 have 7956 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 44 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 44 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 39 additional inputs, on iter 26 have 7961 / 8000
* * * * [misc]points:  Computing exacts on every 2 of 39 points to ramp up precision
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Computing exacts for 39 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 31 additional inputs, on iter 27 have 7969 / 8000
* * * * [misc]points:  Computing exacts for 31 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 24 additional inputs, on iter 28 have 7976 / 8000
* * * * [misc]points:  Computing exacts for 24 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 20 additional inputs, on iter 29 have 7980 / 8000
* * * * [misc]points:  Computing exacts for 20 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 15 additional inputs, on iter 30 have 7985 / 8000
* * * * [misc]points:  Computing exacts for 15 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 11 additional inputs, on iter 31 have 7989 / 8000
* * * * [misc]points:  Computing exacts for 11 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 8 additional inputs, on iter 32 have 7992 / 8000
* * * * [misc]points:  Computing exacts for 8 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 8 additional inputs, on iter 33 have 7992 / 8000
* * * * [misc]points:  Computing exacts for 8 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 34 have 7995 / 8000
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 5 additional inputs, on iter 35 have 7995 / 8000
* * * * [misc]points:  Computing exacts for 5 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 36 have 7998 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [misc]points:  Sampling 4 additional inputs, on iter 37 have 7999 / 8000
* * * * [misc]points:  Computing exacts for 4 points
* * * * [misc]points:  Setting MPFR precision to 1088
* * * * [misc]points:  Setting MPFR precision to 1344
* * * * [misc]points:  Filtering points with unrepresentable outputs
* * * * [exit]points:  Sampled 8000 points with exact outputs