1550838858.196 * [misc]progress:  [Phase 1 of 3] Setting up.
1550838858.196 * * * [misc]progress:  [1/2] Preparing points
1550838858.351 * * * [misc]progress:  [2/2] Setting up program.
1550838858.354 * [misc]progress:  [Phase 2 of 3] Improving.
1550838858.354 * * * * [misc]progress:  [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838858.354 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1550838858.354 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838858.358 * * [misc]simplify:  iters left: 5 (54 enodes)
1550838858.396 * * [misc]simplify:  iters left: 4 (75 enodes)
1550838858.420 * * [misc]simplify:  iters left: 3 (94 enodes)
1550838858.443 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838858.443 * * [misc]simplify:  Extracting #1: cost 7 inf + 0
1550838858.444 * * [misc]simplify:  Extracting #2: cost 13 inf + 1
1550838858.444 * * [misc]simplify:  Extracting #3: cost 23 inf + 2
1550838858.444 * * [misc]simplify:  Extracting #4: cost 18 inf + 378
1550838858.445 * * [misc]simplify:  Extracting #5: cost 6 inf + 1792
1550838858.446 * * [misc]simplify:  Extracting #6: cost 1 inf + 3201
1550838858.447 * * [misc]simplify:  Extracting #7: cost 0 inf + 3656
1550838858.448 * [exit]simplify:  Simplified to (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1550838858.448 * [misc]simplify:  Simplified (2) to (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
1550838858.461 * * [misc]progress:  iteration 1 / 4
1550838858.461 * * * [misc]progress:  picking best candidate
1550838858.471 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838858.471 * * * [misc]progress:  localizing error
1550838858.519 * * * [misc]progress:  generating rewritten candidates
1550838858.519 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2)
1550838858.525 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2 1)
1550838858.533 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1)
1550838858.534 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2)
1550838858.545 * * * [misc]progress:  generating series expansions
1550838858.545 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2)
1550838858.546 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) n) (/ (- 1 k) 2)) into (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))
1550838858.546 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0
1550838858.546 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.546 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.546 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.546 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.546 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.546 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.546 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.546 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.546 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.546 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1550838858.546 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.546 * [misc]backup-simplify:  Simplify n into n
1550838858.546 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.546 * [misc]backup-simplify:  Simplify PI into PI
1550838858.546 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1550838858.546 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1550838858.546 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1550838858.547 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.547 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.547 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838858.547 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1550838858.547 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1550838858.547 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1550838858.547 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1550838858.547 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1550838858.547 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838858.547 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.547 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.547 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838858.547 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.547 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.547 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.547 * [misc]backup-simplify:  Simplify k into k
1550838858.547 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1550838858.547 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.548 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.548 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.548 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.548 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.548 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.548 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.548 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.548 * [misc]backup-simplify:  Simplify PI into PI
1550838858.548 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.548 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.548 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.549 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.549 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.549 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838858.549 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838858.549 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838858.549 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.550 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1550838858.550 * [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))))))
1550838858.550 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.550 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.550 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.550 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.550 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.550 * [misc]backup-simplify:  Simplify k into k
1550838858.550 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.550 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.551 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.551 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.551 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.551 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.551 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.551 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.551 * [misc]backup-simplify:  Simplify PI into PI
1550838858.551 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.551 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.551 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.552 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.552 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.552 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838858.552 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838858.552 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838858.552 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.553 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1550838858.553 * [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))))))
1550838858.553 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI))))) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.553 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.553 * [misc]taylor:  Taking taylor expansion of (* (- 1 k) (+ (log n) (log (* 2 PI)))) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.553 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.553 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.553 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.553 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.553 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.553 * [misc]backup-simplify:  Simplify n into n
1550838858.553 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838858.553 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838858.553 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.554 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.554 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.554 * [misc]backup-simplify:  Simplify PI into PI
1550838858.554 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.554 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.554 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.554 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.555 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.555 * [misc]backup-simplify:  Simplify (* 1 (+ (log n) (log (* 2 PI)))) into (+ (log n) (log (* 2 PI)))
1550838858.555 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1550838858.556 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1550838858.556 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1550838858.557 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1550838858.558 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1550838858.561 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838858.561 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.561 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.561 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1550838858.562 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.562 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1550838858.564 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838858.564 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.564 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.564 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.565 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1550838858.565 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1550838858.568 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838858.568 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.568 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838858.568 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838858.569 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (+ (log n) (log (* 2 PI))))) into (- (+ (log (* 2 PI)) (log n)))
1550838858.570 * [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)))))
1550838858.571 * [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)))))))
1550838858.573 * [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)))))))
1550838858.574 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.574 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1550838858.578 * [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
1550838858.578 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.578 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.578 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1550838858.578 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.579 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1550838858.580 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838858.580 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.580 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.580 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.580 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.581 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1550838858.582 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838858.584 * [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
1550838858.585 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.585 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.585 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.585 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1550838858.586 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (+ (log (* 2 PI)) (log n)))) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1550838858.587 * [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)))))
1550838858.589 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 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)))))
1550838858.592 * [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)))))
1550838858.592 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))
1550838858.592 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1550838858.592 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1550838858.592 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.593 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.593 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.593 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.593 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.593 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.593 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.593 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.593 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.593 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.593 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1550838858.593 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.593 * [misc]backup-simplify:  Simplify PI into PI
1550838858.593 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.593 * [misc]backup-simplify:  Simplify n into n
1550838858.593 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1550838858.593 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1550838858.593 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1550838858.593 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838858.593 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838858.593 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838858.593 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1550838858.594 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1550838858.594 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.594 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.594 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.594 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.594 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.594 * [misc]backup-simplify:  Simplify k into k
1550838858.594 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.594 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.594 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.594 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.594 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.594 * [misc]backup-simplify:  Simplify PI into PI
1550838858.594 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.594 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.594 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.594 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.594 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.595 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.595 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838858.595 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838858.595 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838858.595 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.596 * [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))))
1550838858.596 * [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)))))
1550838858.596 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.596 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.596 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.596 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.596 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.596 * [misc]backup-simplify:  Simplify k into k
1550838858.596 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.596 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.596 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.596 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.596 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.596 * [misc]backup-simplify:  Simplify PI into PI
1550838858.596 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.596 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.596 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.596 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.597 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.597 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.597 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838858.597 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838858.597 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838858.598 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.598 * [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))))
1550838858.599 * [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)))))
1550838858.599 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.599 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.599 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.599 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.599 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.599 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.599 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.599 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.599 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.599 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.599 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.599 * [misc]backup-simplify:  Simplify PI into PI
1550838858.599 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.599 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.599 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838858.599 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.599 * [misc]backup-simplify:  Simplify n into n
1550838858.600 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838858.600 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838858.600 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838858.600 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1550838858.600 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1550838858.600 * [misc]backup-simplify:  Simplify (* -1 (- (log (* 2 PI)) (log n))) into (* -1 (- (log (* 2 PI)) (log n)))
1550838858.601 * [misc]backup-simplify:  Simplify (* 1/2 (* -1 (- (log (* 2 PI)) (log n)))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1550838858.601 * [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)))))
1550838858.601 * [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)))))
1550838858.602 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1550838858.603 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1550838858.604 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838858.604 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838858.604 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.604 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.605 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1550838858.606 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.606 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1550838858.608 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838858.608 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.608 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.608 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.608 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.609 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.610 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838858.615 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1550838858.615 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838858.615 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.615 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.616 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1550838858.616 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.617 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1550838858.619 * [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
1550838858.620 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.620 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.620 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.620 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.620 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.622 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.623 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.631 * [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
1550838858.631 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838858.631 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.631 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.632 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1550838858.632 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.633 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1550838858.637 * [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
1550838858.637 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.637 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.637 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.638 * [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))))))
1550838858.639 * [misc]backup-simplify:  Simplify (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1)))
1550838858.639 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1550838858.639 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.639 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.639 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.639 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.639 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.639 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.639 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.639 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.639 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of -2 in k
1550838858.639 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.639 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1550838858.639 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.639 * [misc]backup-simplify:  Simplify PI into PI
1550838858.639 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.639 * [misc]backup-simplify:  Simplify n into n
1550838858.639 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1550838858.640 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1550838858.640 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1550838858.640 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.640 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838858.640 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1550838858.640 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1550838858.640 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1550838858.640 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1550838858.640 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1550838858.640 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838858.640 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.640 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.640 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838858.640 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.641 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.641 * [misc]backup-simplify:  Simplify k into k
1550838858.641 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.641 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.641 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.641 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1550838858.641 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.641 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.641 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.641 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.641 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.641 * [misc]backup-simplify:  Simplify PI into PI
1550838858.641 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.641 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.641 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.641 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.641 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.642 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.642 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838858.642 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838858.643 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.643 * [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))))
1550838858.644 * [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)))))
1550838858.644 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.644 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.644 * [misc]backup-simplify:  Simplify k into k
1550838858.644 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.644 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.644 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.644 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.644 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.644 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.644 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.644 * [misc]backup-simplify:  Simplify PI into PI
1550838858.645 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.645 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.645 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.645 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.645 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.645 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.646 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838858.646 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838858.646 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.647 * [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))))
1550838858.647 * [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)))))
1550838858.648 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.648 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.648 * [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.648 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.648 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.648 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.648 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.648 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.648 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1550838858.648 * [misc]taylor:  Taking taylor expansion of -2 in k
1550838858.648 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.648 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.648 * [misc]backup-simplify:  Simplify PI into PI
1550838858.651 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.651 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.651 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838858.651 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.651 * [misc]backup-simplify:  Simplify n into n
1550838858.651 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838858.652 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.652 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1550838858.652 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1550838858.653 * [misc]backup-simplify:  Simplify (* 1 (- (log (* -2 PI)) (log n))) into (- (log (* -2 PI)) (log n))
1550838858.653 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1550838858.654 * [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)))))
1550838858.654 * [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)))))
1550838858.656 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1550838858.657 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1550838858.659 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1550838858.659 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838858.659 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.660 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1550838858.660 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.661 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1550838858.662 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838858.662 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.662 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.663 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.663 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.664 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.665 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838858.670 * [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
1550838858.670 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838858.671 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.671 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1550838858.672 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.672 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1550838858.675 * [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
1550838858.675 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.675 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.675 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.675 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.675 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.677 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.678 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.686 * [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
1550838858.686 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838858.686 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.687 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1550838858.687 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.688 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1550838858.692 * [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
1550838858.692 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838858.692 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.692 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.693 * [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))))))
1550838858.693 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2 1)
1550838858.693 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1550838858.693 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1550838858.693 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.693 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.693 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.693 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.694 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.694 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.694 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.694 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.694 * [misc]backup-simplify:  Simplify PI into PI
1550838858.694 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.694 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.694 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.694 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.694 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.694 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.694 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.694 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.694 * [misc]backup-simplify:  Simplify PI into PI
1550838858.694 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.694 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.694 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.695 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.696 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.696 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.697 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1550838858.698 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1550838858.698 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.699 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.701 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1550838858.701 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.703 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1550838858.705 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1550838858.705 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.708 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1550838858.710 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1550838858.710 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.714 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1550838858.717 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1550838858.717 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.721 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1550838858.725 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1550838858.725 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.726 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1550838858.726 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 n)) into (* 2 (/ PI n))
1550838858.726 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1550838858.726 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.726 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.726 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.726 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.726 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.726 * [misc]backup-simplify:  Simplify PI into PI
1550838858.726 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.726 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.726 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.727 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.727 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.727 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.727 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.727 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.727 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.727 * [misc]backup-simplify:  Simplify PI into PI
1550838858.727 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.727 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.727 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.727 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.727 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.728 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.729 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1550838858.729 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1550838858.729 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.731 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.732 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838858.732 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.733 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.734 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.734 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.736 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.738 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1550838858.738 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.740 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.743 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1550838858.743 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.745 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.748 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1550838858.749 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.749 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1550838858.749 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (- n))) into (* -2 (/ PI n))
1550838858.749 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1550838858.749 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.749 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.749 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.749 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.749 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.749 * [misc]backup-simplify:  Simplify PI into PI
1550838858.749 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.749 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.749 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.750 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.750 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.750 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.750 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.750 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.750 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.750 * [misc]backup-simplify:  Simplify PI into PI
1550838858.750 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.750 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.750 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.750 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.751 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.751 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.752 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1550838858.753 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1550838858.753 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.754 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.755 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838858.755 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.757 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.758 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.758 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.760 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.762 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1550838858.762 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.765 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.767 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1550838858.767 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.770 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.773 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1550838858.773 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.773 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1550838858.773 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1)
1550838858.774 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1550838858.774 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1550838858.774 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838858.774 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.774 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.774 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.774 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.774 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.774 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.775 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.775 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838858.775 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.775 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.775 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.775 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.775 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.775 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.776 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.776 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.776 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.776 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838858.777 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838858.777 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.777 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.779 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838858.779 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.779 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838858.779 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1550838858.779 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1550838858.779 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838858.779 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.779 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.779 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.779 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.780 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.780 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838858.780 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.780 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.780 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.780 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.781 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.781 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.781 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.782 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838858.782 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.783 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838858.783 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.783 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838858.784 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1550838858.784 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1550838858.784 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838858.784 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838858.784 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838858.784 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838858.784 * [misc]backup-simplify:  Simplify -1 into -1
1550838858.784 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.784 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.784 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.784 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838858.784 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.785 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838858.785 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838858.785 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838858.785 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838858.785 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838858.785 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838858.785 * [misc]backup-simplify:  Simplify -1 into -1
1550838858.785 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.785 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.785 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.785 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838858.785 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.786 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838858.786 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838858.786 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.786 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838858.787 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838858.788 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838858.788 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838858.788 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.790 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838858.791 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838858.791 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838858.792 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838858.792 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2)
1550838858.792 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) into (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1550838858.792 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k n) around 0
1550838858.792 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in n
1550838858.792 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n
1550838858.792 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n
1550838858.792 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n
1550838858.792 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838858.793 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.793 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.793 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838858.793 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.793 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.793 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.793 * [misc]backup-simplify:  Simplify k into k
1550838858.793 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1550838858.793 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.793 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.793 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.793 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.793 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.793 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.793 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.793 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.793 * [misc]backup-simplify:  Simplify PI into PI
1550838858.793 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.793 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.794 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.795 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.795 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.795 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838858.795 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838858.795 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838858.796 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.796 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (- 1 k) (+ (log n) (log (* 2 PI)))))
1550838858.797 * [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))))))
1550838858.797 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1550838858.797 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.797 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.797 * [misc]backup-simplify:  Simplify k into k
1550838858.797 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.797 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1550838858.797 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838858.797 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1550838858.797 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.797 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.797 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.797 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.797 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.797 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.797 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.797 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.797 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.797 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1550838858.797 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.797 * [misc]backup-simplify:  Simplify n into n
1550838858.797 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.797 * [misc]backup-simplify:  Simplify PI into PI
1550838858.797 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1550838858.797 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1550838858.797 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1550838858.798 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.798 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.798 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838858.798 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1550838858.798 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1550838858.798 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838858.798 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.798 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.798 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.798 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.798 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.798 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.799 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.799 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.799 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.799 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.799 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.799 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.799 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.799 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.799 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.799 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.799 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1550838858.799 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.799 * [misc]backup-simplify:  Simplify n into n
1550838858.799 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.799 * [misc]backup-simplify:  Simplify PI into PI
1550838858.799 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1550838858.799 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1550838858.799 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1550838858.799 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.799 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.800 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838858.800 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1550838858.800 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1550838858.800 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838858.800 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.800 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.800 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.800 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.800 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.800 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.800 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.800 * [misc]backup-simplify:  Simplify (* (pow (* 2 (* n PI)) 1/2) 0) into 0
1550838858.800 * [misc]taylor:  Taking taylor expansion of 0 in n
1550838858.800 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.800 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.801 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1550838858.801 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1550838858.802 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1550838858.802 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838858.802 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838858.802 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838858.803 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1550838858.803 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))
1550838858.803 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))
1550838858.803 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1550838858.803 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1550838858.803 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.803 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.803 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1550838858.803 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1550838858.803 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.803 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.803 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1550838858.803 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1550838858.803 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1550838858.803 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.803 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.803 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.803 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.804 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.804 * [misc]backup-simplify:  Simplify PI into PI
1550838858.804 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.804 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.804 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.804 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1550838858.805 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1550838858.805 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1550838858.805 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.805 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.805 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.805 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838858.806 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838858.806 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0
1550838858.807 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0
1550838858.807 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0
1550838858.808 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.808 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.808 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838858.808 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0
1550838858.809 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))
1550838858.809 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))
1550838858.809 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n
1550838858.809 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n
1550838858.809 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1550838858.809 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.809 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.809 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1550838858.809 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1550838858.809 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1550838858.809 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.809 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.809 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1550838858.809 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1550838858.810 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1550838858.810 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.810 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.810 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.810 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.810 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.810 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.810 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.810 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.810 * [misc]backup-simplify:  Simplify PI into PI
1550838858.810 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.810 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.810 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.811 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.811 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.811 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1550838858.811 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.811 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.811 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.811 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.811 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.811 * [misc]backup-simplify:  Simplify PI into PI
1550838858.811 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.812 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.812 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.812 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1550838858.812 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n
1550838858.812 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1550838858.812 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.812 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.812 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1550838858.812 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1550838858.812 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.812 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.812 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1550838858.812 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1550838858.812 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1550838858.812 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.812 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.812 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.812 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.812 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.813 * [misc]backup-simplify:  Simplify PI into PI
1550838858.813 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.813 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.813 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.813 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1550838858.814 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.814 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1550838858.815 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.815 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.816 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.817 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.818 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.818 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.818 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.819 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.819 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838858.820 * [misc]backup-simplify:  Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838858.820 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0
1550838858.822 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0
1550838858.822 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.822 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.822 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
1550838858.822 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0
1550838858.823 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))
1550838858.824 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 (* n PI)) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))))
1550838858.824 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))))) in n
1550838858.824 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))))) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.825 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.825 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.825 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.825 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1550838858.825 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1550838858.825 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.825 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.825 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.825 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.825 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.825 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.825 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.825 * [misc]backup-simplify:  Simplify PI into PI
1550838858.825 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.825 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.826 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.826 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.826 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.827 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1550838858.827 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.827 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.827 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.827 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.827 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.827 * [misc]backup-simplify:  Simplify PI into PI
1550838858.827 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.827 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.827 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.828 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1550838858.828 * [misc]taylor:  Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))))) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))))) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.828 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.828 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.828 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.828 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1550838858.828 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1550838858.828 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.828 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.828 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.828 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.828 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.828 * [misc]backup-simplify:  Simplify PI into PI
1550838858.828 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.829 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.829 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.829 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1550838858.829 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))))) in n
1550838858.829 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n
1550838858.829 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.829 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.829 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n
1550838858.829 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n
1550838858.829 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1550838858.829 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.829 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.829 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1550838858.829 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1550838858.829 * [misc]taylor:  Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n
1550838858.830 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1550838858.830 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1550838858.830 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.830 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.830 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.830 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.830 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.830 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.830 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.830 * [misc]backup-simplify:  Simplify PI into PI
1550838858.830 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.830 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1550838858.830 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.831 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1550838858.831 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.831 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.832 * [misc]taylor:  Taking taylor expansion of (sqrt (* n PI)) in n
1550838858.832 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1550838858.832 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.832 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.832 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.832 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.832 * [misc]backup-simplify:  Simplify PI into PI
1550838858.832 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1550838858.832 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1550838858.832 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.832 * [misc]backup-simplify:  Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI)
1550838858.833 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.833 * [misc]backup-simplify:  Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI))))
1550838858.834 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0
1550838858.834 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1550838858.834 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1550838858.834 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1550838858.834 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.835 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.835 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2)
1550838858.836 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2))
1550838858.836 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0
1550838858.836 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1550838858.837 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.837 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.837 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.837 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.837 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.837 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.838 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1550838858.839 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1550838858.842 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838858.842 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1550838858.843 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1550838858.844 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1550838858.847 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1550838858.848 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.850 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.851 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1550838858.854 * [misc]backup-simplify:  Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))
1550838858.857 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1550838858.860 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI)))))))
1550838858.861 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1550838858.863 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1550838858.864 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1550838858.866 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1550838858.870 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1550838858.872 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1550838858.873 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1550838858.879 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1550838858.879 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* (* 2 PI) (/ 1 n)) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1550838858.880 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k n) around 0
1550838858.880 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.880 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.880 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.880 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.880 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.880 * [misc]backup-simplify:  Simplify k into k
1550838858.880 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.880 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.880 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.880 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.880 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.880 * [misc]backup-simplify:  Simplify PI into PI
1550838858.880 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.880 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.880 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.881 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.881 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.881 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.881 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838858.881 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838858.881 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838858.882 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.883 * [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))))
1550838858.883 * [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)))))
1550838858.883 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1550838858.883 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.883 * [misc]backup-simplify:  Simplify k into k
1550838858.883 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1550838858.884 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1550838858.884 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.884 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.884 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.884 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.884 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.884 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.884 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.884 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.884 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.884 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.884 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1550838858.884 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.884 * [misc]backup-simplify:  Simplify PI into PI
1550838858.884 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.884 * [misc]backup-simplify:  Simplify n into n
1550838858.885 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1550838858.885 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1550838858.885 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1550838858.885 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838858.885 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838858.885 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838858.885 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1550838858.885 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1550838858.885 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.886 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.886 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.886 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.886 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.886 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.886 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.886 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.886 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.886 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.886 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.887 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.887 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.887 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.887 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1550838858.887 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1550838858.887 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838858.887 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.887 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1550838858.887 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.887 * [misc]backup-simplify:  Simplify PI into PI
1550838858.887 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.887 * [misc]backup-simplify:  Simplify n into n
1550838858.887 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1550838858.887 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1550838858.887 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1550838858.887 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838858.887 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838858.888 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838858.888 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1550838858.888 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))
1550838858.888 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838858.888 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.888 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.888 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.888 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.889 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838858.889 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) 0) into 0
1550838858.889 * [misc]taylor:  Taking taylor expansion of 0 in n
1550838858.889 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.889 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.889 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
1550838858.889 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1550838858.889 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1550838858.889 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.890 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.890 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.890 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.890 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.890 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.890 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.890 * [misc]backup-simplify:  Simplify k into k
1550838858.890 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.890 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.890 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.890 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.890 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.890 * [misc]backup-simplify:  Simplify PI into PI
1550838858.890 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.890 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.890 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.890 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.891 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.891 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.891 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838858.891 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838858.892 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.892 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1550838858.893 * [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))))
1550838858.894 * [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)))))
1550838858.894 * [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))))))
1550838858.895 * [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)))))))
1550838858.895 * [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)))))))
1550838858.896 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.897 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838858.897 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
1550838858.897 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.897 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.897 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.897 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.897 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.897 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.897 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.897 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.897 * [misc]backup-simplify:  Simplify k into k
1550838858.898 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.898 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1550838858.898 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.898 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.898 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.898 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.898 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.898 * [misc]backup-simplify:  Simplify PI into PI
1550838858.898 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.898 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.898 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.898 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.898 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.899 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.899 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838858.899 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838858.899 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.900 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1550838858.901 * [misc]backup-simplify:  Simplify (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) into (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))
1550838858.901 * [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)))))
1550838858.902 * [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))))))
1550838858.903 * [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)))))))
1550838858.903 * [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)))))))
1550838858.904 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1550838858.905 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1550838858.908 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838858.908 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838858.908 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.908 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.909 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.910 * [misc]backup-simplify:  Simplify (+ (* (- 1 (/ 1 k)) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1550838858.910 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) into 0
1550838858.912 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838858.913 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))))) into 0
1550838858.913 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838858.913 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.913 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.914 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838858.915 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))))
1550838858.915 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))))) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))))) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.915 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.915 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))))) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 (/ PI n))))) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.915 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.915 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log (* 2 (/ PI n)))) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.915 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.915 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.915 * [misc]backup-simplify:  Simplify k into k
1550838858.915 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.915 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1550838858.915 * [misc]taylor:  Taking taylor expansion of 2 in n
1550838858.916 * [misc]backup-simplify:  Simplify 2 into 2
1550838858.916 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.916 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.916 * [misc]backup-simplify:  Simplify PI into PI
1550838858.916 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.916 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.916 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.916 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.916 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838858.917 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838858.917 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838858.917 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838858.917 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1550838858.918 * [misc]backup-simplify:  Simplify (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) into (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))
1550838858.919 * [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))))
1550838858.919 * [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)))))
1550838858.920 * [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))))))
1550838858.920 * [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)))))))
1550838858.921 * [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)))))))
1550838858.924 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 2))) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n)))))) (pow k 3))))))))
1550838858.924 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* (* 2 PI) (/ 1 (- n))) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
1550838858.924 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k n) around 0
1550838858.924 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.925 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.925 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.925 * [misc]backup-simplify:  Simplify k into k
1550838858.925 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.925 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.925 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.925 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.925 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.925 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.925 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.925 * [misc]backup-simplify:  Simplify PI into PI
1550838858.925 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.925 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.925 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.925 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.926 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.926 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.926 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838858.926 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838858.927 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.927 * [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))))
1550838858.928 * [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)))))
1550838858.928 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1550838858.928 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1550838858.928 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838858.928 * [misc]backup-simplify:  Simplify -1 into -1
1550838858.928 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.928 * [misc]backup-simplify:  Simplify k into k
1550838858.928 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1550838858.928 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1550838858.928 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1550838858.929 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1550838858.929 * [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)))
1550838858.929 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1550838858.929 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1550838858.929 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1550838858.929 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1550838858.929 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838858.929 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.929 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.929 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838858.929 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.930 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.930 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.930 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.930 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.930 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.930 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.930 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1550838858.930 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1550838858.930 * [misc]taylor:  Taking taylor expansion of -2 in k
1550838858.930 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.930 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1550838858.930 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.930 * [misc]backup-simplify:  Simplify PI into PI
1550838858.930 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.930 * [misc]backup-simplify:  Simplify n into n
1550838858.930 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1550838858.930 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1550838858.930 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1550838858.930 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.931 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838858.931 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1550838858.931 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1550838858.931 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838858.931 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838858.931 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838858.931 * [misc]backup-simplify:  Simplify -1 into -1
1550838858.931 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.931 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.931 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.931 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838858.931 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.932 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838858.932 * [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)))))
1550838858.932 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838858.932 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.932 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838858.932 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.932 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.932 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.932 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838858.933 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838858.933 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.933 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1550838858.933 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1550838858.933 * [misc]taylor:  Taking taylor expansion of -2 in k
1550838858.933 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.933 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1550838858.933 * [misc]taylor:  Taking taylor expansion of PI in k
1550838858.933 * [misc]backup-simplify:  Simplify PI into PI
1550838858.933 * [misc]taylor:  Taking taylor expansion of n in k
1550838858.933 * [misc]backup-simplify:  Simplify n into n
1550838858.933 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1550838858.933 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1550838858.933 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1550838858.933 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838858.933 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838858.933 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1550838858.934 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))
1550838858.934 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838858.934 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838858.934 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838858.934 * [misc]backup-simplify:  Simplify -1 into -1
1550838858.934 * [misc]taylor:  Taking taylor expansion of k in k
1550838858.934 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.934 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.934 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838858.934 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838858.935 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838858.935 * [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)))))
1550838858.935 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.935 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.935 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.935 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.935 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.935 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.935 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.935 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.935 * [misc]backup-simplify:  Simplify PI into PI
1550838858.935 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.935 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.935 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.936 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.936 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.936 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.936 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838858.936 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.936 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.936 * [misc]backup-simplify:  Simplify k into k
1550838858.936 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.936 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.936 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.937 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.937 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838858.938 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1550838858.938 * [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))))
1550838858.940 * [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)))))
1550838858.940 * [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))))))
1550838858.941 * [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))))))
1550838858.941 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838858.942 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838858.943 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
1550838858.943 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.943 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.943 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.943 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.943 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.943 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.943 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.943 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.943 * [misc]backup-simplify:  Simplify PI into PI
1550838858.943 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.943 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.943 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.944 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.944 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.944 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.944 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838858.944 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.944 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.944 * [misc]backup-simplify:  Simplify k into k
1550838858.945 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.945 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.945 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.945 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.945 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838858.946 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1550838858.946 * [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))))
1550838858.947 * [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)))))
1550838858.948 * [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))))))
1550838858.948 * [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)))))))
1550838858.949 * [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)))))))
1550838858.950 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.950 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838858.950 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838858.951 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1550838858.951 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1550838858.954 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1550838858.954 * [misc]backup-simplify:  Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1))) into 0
1550838858.955 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) into 0
1550838858.957 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838858.958 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))))) into 0
1550838858.958 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.958 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838858.959 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838858.960 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))))
1550838858.960 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))))) in n
1550838858.960 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))))) in n
1550838858.960 * [misc]taylor:  Taking taylor expansion of +nan.0 in n
1550838858.960 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838858.960 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)))) in n
1550838858.960 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1))) in n
1550838858.961 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838858.961 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838858.961 * [misc]taylor:  Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (/ 1 k) 1)) in n
1550838858.961 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1550838858.961 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1550838858.961 * [misc]taylor:  Taking taylor expansion of -2 in n
1550838858.961 * [misc]backup-simplify:  Simplify -2 into -2
1550838858.961 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1550838858.961 * [misc]taylor:  Taking taylor expansion of PI in n
1550838858.961 * [misc]backup-simplify:  Simplify PI into PI
1550838858.961 * [misc]taylor:  Taking taylor expansion of n in n
1550838858.961 * [misc]backup-simplify:  Simplify 0 into 0
1550838858.961 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.961 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1550838858.961 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1550838858.962 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1550838858.962 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838858.962 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838858.962 * [misc]taylor:  Taking taylor expansion of k in n
1550838858.962 * [misc]backup-simplify:  Simplify k into k
1550838858.962 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838858.962 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838858.962 * [misc]backup-simplify:  Simplify 1 into 1
1550838858.963 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1550838858.963 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838858.963 * [misc]backup-simplify:  Simplify (* (- (log (* -2 PI)) (log n)) (+ (/ 1 k) 1)) into (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))
1550838858.964 * [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))))
1550838858.964 * [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)))))
1550838858.965 * [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))))))
1550838858.966 * [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)))))))
1550838858.966 * [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)))))))
1550838858.969 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log (* -2 PI)) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))))))
1550838858.969 * * * [misc]progress:  simplifying candidates
1550838858.969 * * * * [misc]progress:  [ 1 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1550838858.969 * [enter]simplify:  Simplifying (* (log (* (* 2 PI) n)) (/ (- 1 k) 2))
1550838858.969 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838858.975 * * [misc]simplify:  iters left: 5 (51 enodes)
1550838858.992 * * [misc]simplify:  iters left: 4 (97 enodes)
1550838859.023 * * [misc]simplify:  iters left: 3 (198 enodes)
1550838859.071 * * [misc]simplify:  iters left: 2 (492 enodes)
1550838859.332 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.332 * * [misc]simplify:  Extracting #1: cost 27 inf + 0
1550838859.332 * * [misc]simplify:  Extracting #2: cost 138 inf + 2
1550838859.335 * * [misc]simplify:  Extracting #3: cost 300 inf + 352
1550838859.339 * * [misc]simplify:  Extracting #4: cost 251 inf + 8938
1550838859.365 * * [misc]simplify:  Extracting #5: cost 48 inf + 62855
1550838859.394 * * [misc]simplify:  Extracting #6: cost 0 inf + 74672
1550838859.424 * * [misc]simplify:  Extracting #7: cost 0 inf + 74341
1550838859.454 * [exit]simplify:  Simplified to (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2)
1550838859.454 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (exp (/ (- (log (* (* 2 PI) n)) (* k (log (* (* 2 PI) n)))) 2))))
1550838859.455 * * * * [misc]progress:  [ 2 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1550838859.455 * * * * [misc]progress:  [ 3 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))>
1550838859.455 * [enter]simplify:  Simplifying (* (* 2 PI) n)
1550838859.455 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838859.458 * * [misc]simplify:  iters left: 3 (19 enodes)
1550838859.462 * * [misc]simplify:  iters left: 2 (27 enodes)
1550838859.466 * * [misc]simplify:  iters left: 1 (32 enodes)
1550838859.470 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.470 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838859.470 * * [misc]simplify:  Extracting #2: cost 7 inf + 45
1550838859.470 * * [misc]simplify:  Extracting #3: cost 0 inf + 421
1550838859.471 * [exit]simplify:  Simplified to (* (* 2 PI) n)
1550838859.471 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (* 1 (/ (- 1 k) 2)))))
1550838859.471 * * * * [misc]progress:  [ 4 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))>
1550838859.471 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
1550838859.471 * * [misc]simplify:  iters left: 5 (8 enodes)
1550838859.473 * * [misc]simplify:  iters left: 4 (28 enodes)
1550838859.479 * * [misc]simplify:  iters left: 3 (36 enodes)
1550838859.484 * * [misc]simplify:  iters left: 2 (41 enodes)
1550838859.489 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.489 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838859.490 * * [misc]simplify:  Extracting #2: cost 13 inf + 0
1550838859.490 * * [misc]simplify:  Extracting #3: cost 12 inf + 4
1550838859.490 * * [misc]simplify:  Extracting #4: cost 3 inf + 756
1550838859.490 * * [misc]simplify:  Extracting #5: cost 0 inf + 1174
1550838859.491 * [exit]simplify:  Simplified to (pow (* (* 2 PI) n) (/ k 2))
1550838859.491 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow (* (* 2 PI) n) (/ 1 2)) (pow (* (* 2 PI) n) (/ k 2)))))
1550838859.491 * * * * [misc]progress:  [ 5 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
1550838859.491 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838859.491 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838859.495 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838859.504 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838859.514 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.514 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838859.514 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838859.515 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838859.515 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838859.515 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838859.515 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838859.516 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838859.516 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
1550838859.516 * * * * [misc]progress:  [ 6 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
1550838859.516 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838859.516 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838859.520 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838859.529 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838859.538 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.538 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838859.538 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838859.538 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838859.538 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838859.538 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838859.538 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838859.538 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838859.538 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
1550838859.538 * * * * [misc]progress:  [ 7 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
1550838859.538 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838859.539 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838859.540 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838859.544 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838859.549 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.549 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838859.549 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838859.549 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838859.549 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838859.549 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838859.549 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))
1550838859.550 * * * * [misc]progress:  [ 8 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) (/ 1 2))))>
1550838859.550 * [enter]simplify:  Simplifying (/ 1 2)
1550838859.550 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838859.551 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838859.554 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.554 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838859.554 * [exit]simplify:  Simplified to 1/2
1550838859.554 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (- 1 k)) 1/2)))
1550838859.554 * * * * [misc]progress:  [ 9 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2)))))>
1550838859.555 * [enter]simplify:  Simplifying (pow (* 2 PI) (/ (- 1 k) 2))
1550838859.555 * * [misc]simplify:  iters left: 5 (8 enodes)
1550838859.557 * * [misc]simplify:  iters left: 4 (33 enodes)
1550838859.562 * * [misc]simplify:  iters left: 3 (42 enodes)
1550838859.569 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.569 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838859.569 * * [misc]simplify:  Extracting #2: cost 11 inf + 0
1550838859.569 * * [misc]simplify:  Extracting #3: cost 13 inf + 3
1550838859.569 * * [misc]simplify:  Extracting #4: cost 8 inf + 172
1550838859.569 * * [misc]simplify:  Extracting #5: cost 1 inf + 839
1550838859.569 * * [misc]simplify:  Extracting #6: cost 0 inf + 1173
1550838859.569 * [exit]simplify:  Simplified to (pow (* 2 PI) (- 1/2 (/ k 2)))
1550838859.569 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* 2 PI) (- 1/2 (/ k 2))) (pow n (/ (- 1 k) 2)))))
1550838859.569 * * * * [misc]progress:  [ 10 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) (/ (- 1 k) 2)) 1)))>
1550838859.570 * * * * [misc]progress:  [ 11 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.570 * * * * [misc]progress:  [ 12 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (log (exp (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.570 * * * * [misc]progress:  [ 13 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.570 * * * * [misc]progress:  [ 14 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.570 * * * * [misc]progress:  [ 15 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.570 * * * * [misc]progress:  [ 16 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838859.570 * * * * [misc]progress:  [ 17 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.570 * * * * [misc]progress:  [ 18 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (pow (* (* 2 PI) n) 1) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 19 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (exp (log (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 20 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (log (exp (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 21 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n))) (cbrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 22 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (cbrt (* (* (* (* 2 PI) n) (* (* 2 PI) n)) (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 23 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (sqrt (* (* 2 PI) n)) (sqrt (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 24 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 1 (* (* 2 PI) n)) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 25 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* PI n)) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 26 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (posit16->real (real->posit16 (* (* 2 PI) n))) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 27 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* n (* 2 PI)) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 28 / 84 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.570 * * * * [misc]progress:  [ 29 / 84 ] simplifiying candidate #<alt (λ (k n) (* (pow k (- 1/2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.570 * [enter]simplify:  Simplifying (- 1/2)
1550838859.570 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838859.572 * * [misc]simplify:  iters left: 1 (7 enodes)
1550838859.573 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.573 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838859.573 * [exit]simplify:  Simplified to -1/2
1550838859.573 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838859.574 * * * * [misc]progress:  [ 30 / 84 ] simplifiying candidate #<alt (λ (k n) (* (pow (sqrt k) (- 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.574 * [enter]simplify:  Simplifying (- 1)
1550838859.574 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838859.576 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838859.579 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.579 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838859.579 * [exit]simplify:  Simplified to -1
1550838859.579 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (pow (sqrt k) -1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838859.579 * * * * [misc]progress:  [ 31 / 84 ] simplifiying candidate #<alt (λ (k n) (* (pow (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 32 / 84 ] simplifiying candidate #<alt (λ (k n) (* (exp (- (log (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 33 / 84 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 34 / 84 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 35 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 36 / 84 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 37 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.579 * * * * [misc]progress:  [ 38 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ (- 1) (- (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.580 * * * * [misc]progress:  [ 39 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.580 * * * * [misc]progress:  [ 40 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.580 * * * * [misc]progress:  [ 41 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (/ (sqrt k) 1)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.580 * * * * [misc]progress:  [ 42 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.580 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1550838859.580 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838859.581 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838859.583 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.583 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838859.583 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838859.583 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838859.584 * * [misc]simplify:  Extracting #4: cost 0 inf + 325
1550838859.584 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1550838859.584 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838859.584 * * * * [misc]progress:  [ 43 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.584 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1550838859.584 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838859.586 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838859.588 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.588 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838859.588 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838859.588 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838859.588 * * [misc]simplify:  Extracting #4: cost 0 inf + 245
1550838859.588 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1550838859.588 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838859.589 * * * * [misc]progress:  [ 44 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.591 * [enter]simplify:  Simplifying (sqrt k)
1550838859.591 * * [misc]simplify:  iters left: 1 (2 enodes)
1550838859.592 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.592 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838859.592 * * [misc]simplify:  Extracting #2: cost 2 inf + 1
1550838859.592 * * [misc]simplify:  Extracting #3: cost 0 inf + 83
1550838859.592 * [exit]simplify:  Simplified to (sqrt k)
1550838859.592 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (/ 1 1) (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838859.592 * * * * [misc]progress:  [ 45 / 84 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838859.592 * * * * [misc]progress:  [ 46 / 84 ] simplifiying candidate #<alt (λ (k n) (pow (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1))>
1550838859.592 * * * * [misc]progress:  [ 47 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1550838859.592 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1550838859.593 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838859.601 * * [misc]simplify:  iters left: 5 (64 enodes)
1550838859.612 * * [misc]simplify:  iters left: 4 (111 enodes)
1550838859.632 * * [misc]simplify:  iters left: 3 (223 enodes)
1550838859.707 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.707 * * [misc]simplify:  Extracting #1: cost 19 inf + 0
1550838859.707 * * [misc]simplify:  Extracting #2: cost 65 inf + 0
1550838859.707 * * [misc]simplify:  Extracting #3: cost 121 inf + 2
1550838859.708 * * [misc]simplify:  Extracting #4: cost 142 inf + 741
1550838859.712 * * [misc]simplify:  Extracting #5: cost 72 inf + 12707
1550838859.723 * * [misc]simplify:  Extracting #6: cost 6 inf + 29228
1550838859.735 * * [misc]simplify:  Extracting #7: cost 1 inf + 30319
1550838859.747 * * [misc]simplify:  Extracting #8: cost 0 inf + 30744
1550838859.760 * [exit]simplify:  Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k)))
1550838859.760 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k)))))
1550838859.760 * * * * [misc]progress:  [ 48 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1550838859.760 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1550838859.760 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838859.768 * * [misc]simplify:  iters left: 5 (64 enodes)
1550838859.788 * * [misc]simplify:  iters left: 4 (111 enodes)
1550838859.827 * * [misc]simplify:  iters left: 3 (223 enodes)
1550838859.897 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838859.897 * * [misc]simplify:  Extracting #1: cost 19 inf + 0
1550838859.897 * * [misc]simplify:  Extracting #2: cost 65 inf + 0
1550838859.898 * * [misc]simplify:  Extracting #3: cost 121 inf + 2
1550838859.899 * * [misc]simplify:  Extracting #4: cost 142 inf + 741
1550838859.903 * * [misc]simplify:  Extracting #5: cost 72 inf + 12707
1550838859.913 * * [misc]simplify:  Extracting #6: cost 6 inf + 29228
1550838859.929 * * [misc]simplify:  Extracting #7: cost 1 inf + 30319
1550838859.942 * * [misc]simplify:  Extracting #8: cost 0 inf + 30744
1550838859.954 * [exit]simplify:  Simplified to (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k)))
1550838859.954 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* n (* 2 PI))) (* (log (* n (* 2 PI))) k)) 2) (log (sqrt k)))))
1550838859.954 * * * * [misc]progress:  [ 49 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838859.955 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838859.955 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838859.963 * * [misc]simplify:  iters left: 5 (60 enodes)
1550838859.978 * * [misc]simplify:  iters left: 4 (90 enodes)
1550838859.992 * * [misc]simplify:  iters left: 3 (150 enodes)
1550838860.029 * * [misc]simplify:  iters left: 2 (309 enodes)
1550838860.124 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838860.125 * * [misc]simplify:  Extracting #1: cost 36 inf + 0
1550838860.125 * * [misc]simplify:  Extracting #2: cost 85 inf + 0
1550838860.126 * * [misc]simplify:  Extracting #3: cost 118 inf + 227
1550838860.127 * * [misc]simplify:  Extracting #4: cost 119 inf + 2026
1550838860.131 * * [misc]simplify:  Extracting #5: cost 56 inf + 15176
1550838860.141 * * [misc]simplify:  Extracting #6: cost 7 inf + 27746
1550838860.156 * * [misc]simplify:  Extracting #7: cost 0 inf + 29545
1550838860.164 * * [misc]simplify:  Extracting #8: cost 0 inf + 29475
1550838860.170 * [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))
1550838860.170 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (/ (- 1 k) 2) (log (* n (* 2 PI)))) (log (sqrt k)))))
1550838860.170 * * * * [misc]progress:  [ 50 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1550838860.170 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1550838860.170 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838860.175 * * [misc]simplify:  iters left: 5 (68 enodes)
1550838860.186 * * [misc]simplify:  iters left: 4 (117 enodes)
1550838860.221 * * [misc]simplify:  iters left: 3 (233 enodes)
1550838860.284 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838860.284 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838860.284 * * [misc]simplify:  Extracting #2: cost 77 inf + 1
1550838860.285 * * [misc]simplify:  Extracting #3: cost 133 inf + 74
1550838860.285 * * [misc]simplify:  Extracting #4: cost 151 inf + 995
1550838860.287 * * [misc]simplify:  Extracting #5: cost 77 inf + 13831
1550838860.292 * * [misc]simplify:  Extracting #6: cost 6 inf + 31822
1550838860.299 * * [misc]simplify:  Extracting #7: cost 0 inf + 34387
1550838860.308 * [exit]simplify:  Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k)))
1550838860.308 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k)))))
1550838860.308 * * * * [misc]progress:  [ 51 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))))>
1550838860.308 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* (* 2 PI) n)) (/ (- 1 k) 2)))
1550838860.308 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838860.317 * * [misc]simplify:  iters left: 5 (68 enodes)
1550838860.341 * * [misc]simplify:  iters left: 4 (117 enodes)
1550838860.379 * * [misc]simplify:  iters left: 3 (233 enodes)
1550838860.447 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838860.447 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838860.448 * * [misc]simplify:  Extracting #2: cost 77 inf + 1
1550838860.448 * * [misc]simplify:  Extracting #3: cost 133 inf + 74
1550838860.449 * * [misc]simplify:  Extracting #4: cost 151 inf + 995
1550838860.451 * * [misc]simplify:  Extracting #5: cost 77 inf + 13831
1550838860.456 * * [misc]simplify:  Extracting #6: cost 6 inf + 31822
1550838860.463 * * [misc]simplify:  Extracting #7: cost 0 inf + 34387
1550838860.470 * [exit]simplify:  Simplified to (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k)))
1550838860.470 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (/ (- (log (* (* 2 PI) n)) (* (log (* (* 2 PI) n)) k)) 2) (log (sqrt k)))))
1550838860.470 * * * * [misc]progress:  [ 52 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838860.471 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838860.471 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838860.475 * * [misc]simplify:  iters left: 5 (64 enodes)
1550838860.488 * * [misc]simplify:  iters left: 4 (96 enodes)
1550838860.509 * * [misc]simplify:  iters left: 3 (160 enodes)
1550838860.542 * * [misc]simplify:  iters left: 2 (349 enodes)
1550838860.673 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838860.673 * * [misc]simplify:  Extracting #1: cost 41 inf + 0
1550838860.673 * * [misc]simplify:  Extracting #2: cost 127 inf + 1
1550838860.674 * * [misc]simplify:  Extracting #3: cost 164 inf + 779
1550838860.675 * * [misc]simplify:  Extracting #4: cost 164 inf + 2314
1550838860.677 * * [misc]simplify:  Extracting #5: cost 103 inf + 14026
1550838860.684 * * [misc]simplify:  Extracting #6: cost 16 inf + 39159
1550838860.692 * * [misc]simplify:  Extracting #7: cost 0 inf + 44498
1550838860.701 * * [misc]simplify:  Extracting #8: cost 0 inf + 44458
1550838860.710 * [exit]simplify:  Simplified to (- (* (log (* (* PI n) 2)) (/ (- 1 k) 2)) (log (sqrt k)))
1550838860.710 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* PI n) 2)) (/ (- 1 k) 2)) (log (sqrt k)))))
1550838860.710 * * * * [misc]progress:  [ 53 / 84 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838860.710 * * * * [misc]progress:  [ 54 / 84 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838860.710 * * * * [misc]progress:  [ 55 / 84 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838860.710 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838860.710 * * [misc]simplify:  iters left: 6 (17 enodes)
1550838860.715 * * [misc]simplify:  iters left: 5 (76 enodes)
1550838860.744 * * [misc]simplify:  iters left: 4 (133 enodes)
1550838860.792 * * [misc]simplify:  iters left: 3 (240 enodes)
1550838860.859 * * [misc]simplify:  iters left: 2 (357 enodes)
1550838860.986 * * [misc]simplify:  iters left: 1 (475 enodes)
1550838861.222 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.223 * * [misc]simplify:  Extracting #1: cost 30 inf + 0
1550838861.223 * * [misc]simplify:  Extracting #2: cost 54 inf + 3
1550838861.223 * * [misc]simplify:  Extracting #3: cost 57 inf + 616
1550838861.224 * * [misc]simplify:  Extracting #4: cost 55 inf + 827
1550838861.227 * * [misc]simplify:  Extracting #5: cost 28 inf + 9146
1550838861.242 * * [misc]simplify:  Extracting #6: cost 2 inf + 20857
1550838861.257 * * [misc]simplify:  Extracting #7: cost 0 inf + 21887
1550838861.271 * [exit]simplify:  Simplified to (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ k (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))
1550838861.271 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ k (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))
1550838861.271 * * * * [misc]progress:  [ 56 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838861.271 * * * * [misc]progress:  [ 57 / 84 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838861.272 * * * * [misc]progress:  [ 58 / 84 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838861.272 * * * * [misc]progress:  [ 59 / 84 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ 1 2))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))>
1550838861.272 * [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ 1 2)))
1550838861.272 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838861.278 * * [misc]simplify:  iters left: 5 (33 enodes)
1550838861.289 * * [misc]simplify:  iters left: 4 (46 enodes)
1550838861.301 * * [misc]simplify:  iters left: 3 (51 enodes)
1550838861.313 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.313 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838861.313 * * [misc]simplify:  Extracting #2: cost 10 inf + 2
1550838861.314 * * [misc]simplify:  Extracting #3: cost 8 inf + 89
1550838861.314 * * [misc]simplify:  Extracting #4: cost 4 inf + 298
1550838861.314 * * [misc]simplify:  Extracting #5: cost 0 inf + 669
1550838861.315 * [exit]simplify:  Simplified to (sqrt (* PI (* 2 n)))
1550838861.315 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))))
1550838861.315 * [enter]simplify:  Simplifying (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
1550838861.315 * * [misc]simplify:  iters left: 6 (10 enodes)
1550838861.320 * * [misc]simplify:  iters left: 5 (35 enodes)
1550838861.329 * * [misc]simplify:  iters left: 4 (43 enodes)
1550838861.341 * * [misc]simplify:  iters left: 3 (49 enodes)
1550838861.353 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.354 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838861.354 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838861.354 * * [misc]simplify:  Extracting #3: cost 16 inf + 1
1550838861.354 * * [misc]simplify:  Extracting #4: cost 12 inf + 171
1550838861.354 * * [misc]simplify:  Extracting #5: cost 0 inf + 2084
1550838861.355 * [exit]simplify:  Simplified to (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))
1550838861.355 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (sqrt (* PI (* 2 n))) (* (pow (* (* 2 PI) n) (/ k 2)) (sqrt k))))
1550838861.355 * * * * [misc]progress:  [ 60 / 84 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.355 * * * * [misc]progress:  [ 61 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838861.355 * [enter]simplify:  Simplifying (pow n (/ (- 1 k) 2))
1550838861.355 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838861.360 * * [misc]simplify:  iters left: 4 (29 enodes)
1550838861.368 * * [misc]simplify:  iters left: 3 (38 enodes)
1550838861.379 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.379 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838861.379 * * [misc]simplify:  Extracting #2: cost 8 inf + 1
1550838861.379 * * [misc]simplify:  Extracting #3: cost 11 inf + 3
1550838861.380 * * [misc]simplify:  Extracting #4: cost 4 inf + 338
1550838861.380 * * [misc]simplify:  Extracting #5: cost 0 inf + 1009
1550838861.380 * [exit]simplify:  Simplified to (pow n (- 1/2 (/ k 2)))
1550838861.380 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (- 1/2 (/ k 2)))))
1550838861.380 * * * * [misc]progress:  [ 62 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.381 * [enter]simplify:  Simplifying (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1550838861.381 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838861.387 * * [misc]simplify:  iters left: 5 (45 enodes)
1550838861.403 * * [misc]simplify:  iters left: 4 (62 enodes)
1550838861.420 * * [misc]simplify:  iters left: 3 (67 enodes)
1550838861.437 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.438 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838861.438 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838861.438 * * [misc]simplify:  Extracting #3: cost 17 inf + 0
1550838861.438 * * [misc]simplify:  Extracting #4: cost 21 inf + 4
1550838861.438 * * [misc]simplify:  Extracting #5: cost 10 inf + 840
1550838861.439 * * [misc]simplify:  Extracting #6: cost 0 inf + 2500
1550838861.440 * [exit]simplify:  Simplified to (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
1550838861.440 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- 1 k) 2))))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))
1550838861.440 * * * * [misc]progress:  [ 63 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.440 * [enter]simplify:  Simplifying (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1550838861.440 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838861.447 * * [misc]simplify:  iters left: 5 (45 enodes)
1550838861.461 * * [misc]simplify:  iters left: 4 (62 enodes)
1550838861.477 * * [misc]simplify:  iters left: 3 (67 enodes)
1550838861.494 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.494 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838861.494 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838861.494 * * [misc]simplify:  Extracting #3: cost 17 inf + 0
1550838861.494 * * [misc]simplify:  Extracting #4: cost 21 inf + 4
1550838861.495 * * [misc]simplify:  Extracting #5: cost 10 inf + 840
1550838861.495 * * [misc]simplify:  Extracting #6: cost 0 inf + 2420
1550838861.496 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
1550838861.496 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (pow (* (* 2 PI) n) (/ (- 1 k) 2)))) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))))
1550838861.496 * * * * [misc]progress:  [ 64 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838861.497 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ (- 1 k) 2))
1550838861.497 * * [misc]simplify:  iters left: 5 (10 enodes)
1550838861.502 * * [misc]simplify:  iters left: 4 (42 enodes)
1550838861.515 * * [misc]simplify:  iters left: 3 (59 enodes)
1550838861.531 * * [misc]simplify:  iters left: 2 (65 enodes)
1550838861.547 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.547 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838861.547 * * [misc]simplify:  Extracting #2: cost 15 inf + 0
1550838861.548 * * [misc]simplify:  Extracting #3: cost 18 inf + 46
1550838861.548 * * [misc]simplify:  Extracting #4: cost 8 inf + 508
1550838861.550 * * [misc]simplify:  Extracting #5: cost 2 inf + 1132
1550838861.551 * * [misc]simplify:  Extracting #6: cost 0 inf + 1590
1550838861.551 * [exit]simplify:  Simplified to (pow (* (* n PI) 2) (- 1/2 (/ k 2)))
1550838861.551 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) 1) (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))
1550838861.551 * * * * [misc]progress:  [ 65 / 84 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.552 * [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1550838861.552 * * [misc]simplify:  iters left: 6 (6 enodes)
1550838861.555 * * [misc]simplify:  iters left: 5 (20 enodes)
1550838861.561 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838861.567 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.568 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838861.568 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838861.568 * * [misc]simplify:  Extracting #3: cost 8 inf + 0
1550838861.568 * * [misc]simplify:  Extracting #4: cost 9 inf + 1
1550838861.568 * * [misc]simplify:  Extracting #5: cost 8 inf + 2
1550838861.568 * * [misc]simplify:  Extracting #6: cost 1 inf + 774
1550838861.568 * * [misc]simplify:  Extracting #7: cost 0 inf + 976
1550838861.569 * [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1550838861.569 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
1550838861.569 * * * * [misc]progress:  [ 66 / 84 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.569 * [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
1550838861.569 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838861.571 * * [misc]simplify:  iters left: 3 (17 enodes)
1550838861.576 * * [misc]simplify:  iters left: 2 (19 enodes)
1550838861.582 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.582 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838861.582 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838861.582 * * [misc]simplify:  Extracting #3: cost 7 inf + 1
1550838861.582 * * [misc]simplify:  Extracting #4: cost 0 inf + 492
1550838861.582 * [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
1550838861.582 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))
1550838861.582 * * * * [misc]progress:  [ 67 / 84 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.582 * * * * [misc]progress:  [ 68 / 84 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))>
1550838861.582 * * * * [misc]progress:  [ 69 / 84 ] simplifiying candidate #<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))>
1550838861.583 * [enter]simplify:  Simplifying (pow (* (* 2 PI) n) (/ k 2))
1550838861.583 * * [misc]simplify:  iters left: 5 (8 enodes)
1550838861.587 * * [misc]simplify:  iters left: 4 (28 enodes)
1550838861.595 * * [misc]simplify:  iters left: 3 (36 enodes)
1550838861.604 * * [misc]simplify:  iters left: 2 (41 enodes)
1550838861.614 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.614 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838861.614 * * [misc]simplify:  Extracting #2: cost 13 inf + 0
1550838861.614 * * [misc]simplify:  Extracting #3: cost 12 inf + 4
1550838861.615 * * [misc]simplify:  Extracting #4: cost 3 inf + 756
1550838861.615 * * [misc]simplify:  Extracting #5: cost 0 inf + 1174
1550838861.615 * [exit]simplify:  Simplified to (pow (* (* 2 PI) n) (/ k 2))
1550838861.615 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))
1550838861.616 * * * * [misc]progress:  [ 70 / 84 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2))) (sqrt k)))>
1550838861.616 * [enter]simplify:  Simplifying (* 1 (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1550838861.616 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838861.622 * * [misc]simplify:  iters left: 5 (44 enodes)
1550838861.636 * * [misc]simplify:  iters left: 4 (63 enodes)
1550838861.652 * * [misc]simplify:  iters left: 3 (69 enodes)
1550838861.661 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.661 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838861.661 * * [misc]simplify:  Extracting #2: cost 15 inf + 1
1550838861.661 * * [misc]simplify:  Extracting #3: cost 14 inf + 255
1550838861.661 * * [misc]simplify:  Extracting #4: cost 7 inf + 549
1550838861.661 * * [misc]simplify:  Extracting #5: cost 3 inf + 757
1550838861.662 * * [misc]simplify:  Extracting #6: cost 1 inf + 1215
1550838861.662 * * [misc]simplify:  Extracting #7: cost 0 inf + 1590
1550838861.662 * [exit]simplify:  Simplified to (pow (* (* n PI) 2) (/ (- 1 k) 2))
1550838861.662 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (* (* n PI) 2) (/ (- 1 k) 2)) (sqrt k)))
1550838861.662 * * * * [misc]progress:  [ 71 / 84 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))))>
1550838861.662 * * * * [misc]progress:  [ 72 / 84 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (/ 1 (sqrt k))))>
1550838861.662 * * * * [misc]progress:  [ 73 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)))))))>
1550838861.663 * [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)))))
1550838861.663 * * [misc]simplify:  iters left: 6 (37 enodes)
1550838861.674 * * [misc]simplify:  iters left: 5 (179 enodes)
1550838861.730 * * [misc]simplify:  iters left: 4 (458 enodes)
1550838861.923 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838861.923 * * [misc]simplify:  Extracting #1: cost 57 inf + 0
1550838861.923 * * [misc]simplify:  Extracting #2: cost 287 inf + 0
1550838861.925 * * [misc]simplify:  Extracting #3: cost 485 inf + 158
1550838861.928 * * [misc]simplify:  Extracting #4: cost 473 inf + 4949
1550838861.938 * * [misc]simplify:  Extracting #5: cost 294 inf + 68227
1550838861.992 * * [misc]simplify:  Extracting #6: cost 43 inf + 204764
1550838862.070 * * [misc]simplify:  Extracting #7: cost 0 inf + 227627
1550838862.170 * * [misc]simplify:  Extracting #8: cost 0 inf + 222950
1550838862.253 * * [misc]simplify:  Extracting #9: cost 0 inf + 222310
1550838862.334 * [exit]simplify:  Simplified to (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))
1550838862.334 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (+ (* (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (log n) (log (* PI 2)))) k) -1/2) (+ (+ (* (* (sqrt (exp (+ (log n) (log (* PI 2))))) (* (log (* PI 2)) (* (* k k) (log n)))) 1/4) (sqrt (exp (+ (log n) (log (* PI 2)))))) (* (sqrt (exp (+ (log n) (log (* PI 2))))) (+ (* (* k k) (* (* (log n) (log n)) 1/8)) (* (* k k) (* 1/8 (* (log (* PI 2)) (log (* PI 2)))))))))))
1550838862.335 * * * * [misc]progress:  [ 74 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))))>
1550838862.335 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* 2 PI)) (log (/ 1 n))))))
1550838862.335 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838862.344 * * [misc]simplify:  iters left: 5 (65 enodes)
1550838862.358 * * [misc]simplify:  iters left: 4 (120 enodes)
1550838862.386 * * [misc]simplify:  iters left: 3 (336 enodes)
1550838862.515 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838862.516 * * [misc]simplify:  Extracting #1: cost 20 inf + 0
1550838862.516 * * [misc]simplify:  Extracting #2: cost 167 inf + 1
1550838862.518 * * [misc]simplify:  Extracting #3: cost 298 inf + 1160
1550838862.522 * * [misc]simplify:  Extracting #4: cost 230 inf + 9782
1550838862.532 * * [misc]simplify:  Extracting #5: cost 105 inf + 38409
1550838862.543 * * [misc]simplify:  Extracting #6: cost 5 inf + 66368
1550838862.555 * * [misc]simplify:  Extracting #7: cost 0 inf + 66817
1550838862.570 * * [misc]simplify:  Extracting #8: cost 0 inf + 66815
1550838862.583 * [exit]simplify:  Simplified to (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))
1550838862.583 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (+ (log (* 2 PI)) (log n)) (* (+ (log (* 2 PI)) (log n)) k))))))
1550838862.583 * * * * [misc]progress:  [ 75 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))))>
1550838862.583 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log (* -2 PI)) (log (/ -1 n))))))
1550838862.583 * * [misc]simplify:  iters left: 6 (16 enodes)
1550838862.589 * * [misc]simplify:  iters left: 5 (67 enodes)
1550838862.608 * * [misc]simplify:  iters left: 4 (130 enodes)
1550838862.662 * * [misc]simplify:  iters left: 3 (384 enodes)
1550838862.866 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838862.867 * * [misc]simplify:  Extracting #1: cost 20 inf + 0
1550838862.867 * * [misc]simplify:  Extracting #2: cost 194 inf + 1
1550838862.870 * * [misc]simplify:  Extracting #3: cost 392 inf + 554
1550838862.880 * * [misc]simplify:  Extracting #4: cost 250 inf + 31266
1550838862.915 * * [misc]simplify:  Extracting #5: cost 18 inf + 92250
1550838862.950 * * [misc]simplify:  Extracting #6: cost 0 inf + 97178
1550838862.986 * * [misc]simplify:  Extracting #7: cost 0 inf + 97010
1550838863.021 * [exit]simplify:  Simplified to (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))
1550838863.021 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (sqrt (exp (- (- (log (* -2 PI)) (log (/ -1 n))) (* k (- (log (* -2 PI)) (log (/ -1 n)))))))))
1550838863.022 * * * * [misc]progress:  [ 76 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1550838863.022 * [enter]simplify:  Simplifying (* 2 (* n PI))
1550838863.022 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838863.025 * * [misc]simplify:  iters left: 3 (19 enodes)
1550838863.031 * * [misc]simplify:  iters left: 2 (27 enodes)
1550838863.038 * * [misc]simplify:  iters left: 1 (32 enodes)
1550838863.047 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838863.048 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838863.048 * * [misc]simplify:  Extracting #2: cost 7 inf + 45
1550838863.048 * * [misc]simplify:  Extracting #3: cost 0 inf + 421
1550838863.048 * [exit]simplify:  Simplified to (* (* PI n) 2)
1550838863.048 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1550838863.048 * * * * [misc]progress:  [ 77 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1550838863.049 * [enter]simplify:  Simplifying (* 2 (* n PI))
1550838863.049 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838863.051 * * [misc]simplify:  iters left: 3 (19 enodes)
1550838863.057 * * [misc]simplify:  iters left: 2 (27 enodes)
1550838863.065 * * [misc]simplify:  iters left: 1 (32 enodes)
1550838863.073 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838863.073 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838863.073 * * [misc]simplify:  Extracting #2: cost 7 inf + 45
1550838863.073 * * [misc]simplify:  Extracting #3: cost 0 inf + 421
1550838863.073 * [exit]simplify:  Simplified to (* (* PI n) 2)
1550838863.073 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1550838863.074 * * * * [misc]progress:  [ 78 / 84 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* 2 (* n PI)) (/ (- 1 k) 2))))>
1550838863.074 * [enter]simplify:  Simplifying (* 2 (* n PI))
1550838863.074 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838863.077 * * [misc]simplify:  iters left: 3 (19 enodes)
1550838863.082 * * [misc]simplify:  iters left: 2 (27 enodes)
1550838863.090 * * [misc]simplify:  iters left: 1 (32 enodes)
1550838863.097 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838863.097 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838863.097 * * [misc]simplify:  Extracting #2: cost 7 inf + 45
1550838863.097 * * [misc]simplify:  Extracting #3: cost 0 inf + 421
1550838863.098 * [exit]simplify:  Simplified to (* (* PI n) 2)
1550838863.098 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* PI n) 2) (/ (- 1 k) 2))))
1550838863.098 * * * * [misc]progress:  [ 79 / 84 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838863.098 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838863.098 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838863.098 * * * * [misc]progress:  [ 80 / 84 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838863.099 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838863.099 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838863.099 * * * * [misc]progress:  [ 81 / 84 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
1550838863.099 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838863.099 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow (* (* 2 PI) n) (/ (- 1 k) 2))))
1550838863.099 * * * * [misc]progress:  [ 82 / 84 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))>
1550838863.100 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))))))
1550838863.100 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1550838863.100 * * * * [misc]progress:  [ 83 / 84 ] 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)))))))))>
1550838863.100 * [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))))))))
1550838863.100 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1550838863.100 * * * * [misc]progress:  [ 84 / 84 ] 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)))))))))))))>
1550838863.101 * [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))))))))))))
1550838863.101 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1550838863.101 * * * [misc]progress:  adding candidates to table
1550838864.028 * * [misc]progress:  iteration 2 / 4
1550838864.029 * * * [misc]progress:  picking best candidate
1550838864.062 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838864.062 * * * [misc]progress:  localizing error
1550838864.092 * * * [misc]progress:  generating rewritten candidates
1550838864.092 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2)
1550838864.094 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
1550838864.095 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
1550838864.096 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
1550838864.105 * * * [misc]progress:  generating series expansions
1550838864.105 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2)
1550838864.105 * [misc]backup-simplify:  Simplify (pow (* 2 PI) (/ (- 1 k) 2)) into (pow (* 2 PI) (* 1/2 (- 1 k)))
1550838864.105 * [misc]approximate:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in (k) around 0
1550838864.105 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k
1550838864.105 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k
1550838864.105 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k
1550838864.105 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838864.106 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.106 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.106 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838864.106 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.106 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.106 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.106 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.106 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.106 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.106 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.106 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.106 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.106 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.106 * [misc]backup-simplify:  Simplify PI into PI
1550838864.106 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.106 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.106 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.106 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.106 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.107 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.108 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
1550838864.108 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.108 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.108 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.108 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.108 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.108 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.108 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.108 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.108 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.108 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.108 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.108 * [misc]backup-simplify:  Simplify PI into PI
1550838864.108 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.108 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.108 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.109 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.109 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.109 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.112 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
1550838864.113 * [misc]backup-simplify:  Simplify (pow (* 2 PI) 1/2) into (pow (* 2 PI) 1/2)
1550838864.113 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1550838864.115 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838864.115 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.115 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.115 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838864.116 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
1550838864.118 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))
1550838864.119 * [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) into (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))
1550838864.119 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838864.122 * [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
1550838864.123 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.123 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.123 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838864.124 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
1550838864.126 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))
1550838864.128 * [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) into (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))
1550838864.133 * [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) k) (pow (* 2 PI) 1/2))) into (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))))
1550838864.133 * [misc]backup-simplify:  Simplify (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2)) into (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k))))
1550838864.133 * [misc]approximate:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in (k) around 0
1550838864.133 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k
1550838864.133 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k
1550838864.133 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k
1550838864.133 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838864.133 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.133 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.133 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838864.133 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.133 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.133 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.134 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.134 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.134 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.134 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.134 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.134 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.134 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.134 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.134 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.134 * [misc]backup-simplify:  Simplify PI into PI
1550838864.134 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.135 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.135 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.135 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.135 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838864.136 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
1550838864.136 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
1550838864.136 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k
1550838864.136 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k
1550838864.136 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k
1550838864.136 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838864.136 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.136 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.136 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838864.136 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.136 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.136 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.137 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.137 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.137 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.137 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.137 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.137 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.137 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.137 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.137 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.137 * [misc]backup-simplify:  Simplify PI into PI
1550838864.137 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.137 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.137 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.137 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.137 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838864.138 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
1550838864.138 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
1550838864.139 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
1550838864.139 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.139 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.139 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.139 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.139 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.139 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.139 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
1550838864.139 * [misc]backup-simplify:  Simplify (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2)) into (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1)))
1550838864.139 * [misc]approximate:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in (k) around 0
1550838864.140 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.140 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.140 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.140 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.140 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.140 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.140 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.140 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.140 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.140 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.140 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.140 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.140 * [misc]backup-simplify:  Simplify PI into PI
1550838864.140 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.140 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.140 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.141 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.141 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.141 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))
1550838864.141 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k
1550838864.141 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k
1550838864.141 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k
1550838864.141 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838864.141 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.141 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.141 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838864.141 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.142 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.142 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.142 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.142 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.142 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.142 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.142 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.142 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.142 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.142 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.142 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.142 * [misc]backup-simplify:  Simplify PI into PI
1550838864.142 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.142 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.142 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.142 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.143 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.143 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))
1550838864.144 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))
1550838864.144 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.144 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.144 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.144 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.144 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.144 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.144 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))) into (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
1550838864.144 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
1550838864.145 * [misc]backup-simplify:  Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k)))
1550838864.145 * [misc]approximate:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0
1550838864.145 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k
1550838864.145 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k
1550838864.145 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k
1550838864.145 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838864.145 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.145 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.145 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838864.145 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.145 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.145 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.145 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.145 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.145 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838864.145 * [misc]taylor:  Taking taylor expansion of n in k
1550838864.145 * [misc]backup-simplify:  Simplify n into n
1550838864.145 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838864.145 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.145 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.145 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.145 * [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
1550838864.145 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
1550838864.145 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n
1550838864.145 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n
1550838864.145 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n
1550838864.145 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838864.145 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838864.145 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.145 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838864.145 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838864.145 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.145 * [misc]taylor:  Taking taylor expansion of k in n
1550838864.145 * [misc]backup-simplify:  Simplify k into k
1550838864.145 * [misc]taylor:  Taking taylor expansion of (log n) in n
1550838864.145 * [misc]taylor:  Taking taylor expansion of n in n
1550838864.145 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.145 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.146 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838864.146 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838864.146 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838864.146 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838864.146 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838864.146 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
1550838864.146 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
1550838864.146 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n
1550838864.146 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n
1550838864.146 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n
1550838864.146 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838864.146 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838864.146 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.146 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838864.146 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838864.146 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.146 * [misc]taylor:  Taking taylor expansion of k in n
1550838864.146 * [misc]backup-simplify:  Simplify k into k
1550838864.146 * [misc]taylor:  Taking taylor expansion of (log n) in n
1550838864.146 * [misc]taylor:  Taking taylor expansion of n in n
1550838864.146 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.146 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.146 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838864.146 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838864.146 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838864.146 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838864.146 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838864.147 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
1550838864.147 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
1550838864.147 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k
1550838864.147 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k
1550838864.147 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.147 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.147 * [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log n)) in k
1550838864.147 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838864.147 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.147 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.147 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.147 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.147 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.147 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838864.147 * [misc]taylor:  Taking taylor expansion of n in k
1550838864.147 * [misc]backup-simplify:  Simplify n into n
1550838864.147 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838864.147 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.147 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.147 * [misc]backup-simplify:  Simplify (* 1 (log n)) into (log n)
1550838864.147 * [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
1550838864.147 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
1550838864.147 * [misc]backup-simplify:  Simplify (pow n 1/2) into (pow n 1/2)
1550838864.149 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838864.149 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.149 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.149 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1550838864.149 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838864.149 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0
1550838864.150 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838864.150 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.150 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.150 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.150 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1550838864.151 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.151 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.151 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n))
1550838864.151 * [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n)))
1550838864.151 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
1550838864.151 * [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
1550838864.154 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838864.154 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.154 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.154 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1550838864.154 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838864.154 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
1550838864.155 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838864.155 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.155 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.155 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.155 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.156 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1550838864.157 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.157 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.157 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0
1550838864.157 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0
1550838864.158 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
1550838864.158 * [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
1550838864.158 * [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
1550838864.158 * [misc]backup-simplify:  Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k))))
1550838864.158 * [misc]approximate:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1550838864.158 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k
1550838864.158 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k
1550838864.158 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k
1550838864.158 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838864.158 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.158 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.158 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838864.158 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.158 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.158 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.158 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.158 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.158 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.158 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.159 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
1550838864.159 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
1550838864.159 * [misc]taylor:  Taking taylor expansion of n in k
1550838864.159 * [misc]backup-simplify:  Simplify n into n
1550838864.159 * [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
1550838864.159 * [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
1550838864.159 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.159 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.159 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838864.159 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
1550838864.159 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))))
1550838864.159 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838864.159 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.159 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838864.159 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.159 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of k in n
1550838864.159 * [misc]backup-simplify:  Simplify k into k
1550838864.159 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838864.159 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1550838864.159 * [misc]taylor:  Taking taylor expansion of n in n
1550838864.159 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.159 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.159 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.160 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838864.160 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838864.160 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838864.160 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838864.160 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838864.160 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
1550838864.160 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838864.160 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838864.160 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.160 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838864.160 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.160 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of k in n
1550838864.160 * [misc]backup-simplify:  Simplify k into k
1550838864.160 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838864.160 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1550838864.160 * [misc]taylor:  Taking taylor expansion of n in n
1550838864.160 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.160 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.160 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.161 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838864.161 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838864.161 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838864.161 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838864.161 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838864.161 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
1550838864.161 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838864.161 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k
1550838864.161 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k
1550838864.161 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1550838864.161 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1550838864.161 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k
1550838864.161 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838864.161 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.161 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.161 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.161 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.161 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.161 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.161 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.161 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838864.161 * [misc]taylor:  Taking taylor expansion of n in k
1550838864.161 * [misc]backup-simplify:  Simplify n into n
1550838864.161 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838864.162 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.162 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.162 * [misc]backup-simplify:  Simplify (* -1 (log n)) into (* -1 (log n))
1550838864.162 * [misc]backup-simplify:  Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n))
1550838864.162 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838864.162 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838864.162 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838864.164 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838864.164 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838864.164 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.164 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.164 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1550838864.164 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838864.164 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
1550838864.166 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838864.166 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.166 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.166 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.166 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.166 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.170 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838864.170 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838864.170 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.171 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.171 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1550838864.171 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838864.171 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
1550838864.173 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838864.173 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.173 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.173 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.174 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.174 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.174 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.181 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1550838864.181 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838864.181 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.181 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.182 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1550838864.182 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838864.182 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
1550838864.186 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838864.186 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.186 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.186 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.186 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
1550838864.186 * [misc]backup-simplify:  Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1)))
1550838864.186 * [misc]approximate:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1550838864.186 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k
1550838864.186 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k
1550838864.186 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k
1550838864.186 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838864.186 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.186 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.187 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838864.187 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.187 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.187 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.187 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.187 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.187 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.187 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.187 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in k
1550838864.187 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in k
1550838864.187 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838864.187 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.187 * [misc]taylor:  Taking taylor expansion of n in k
1550838864.187 * [misc]backup-simplify:  Simplify n into n
1550838864.187 * [misc]backup-simplify:  Simplify (/ -1 n) into (/ -1 n)
1550838864.187 * [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
1550838864.187 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.188 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.188 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
1550838864.188 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))))
1550838864.188 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838864.188 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.188 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of k in n
1550838864.188 * [misc]backup-simplify:  Simplify k into k
1550838864.188 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838864.188 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838864.188 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.188 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in n
1550838864.188 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838864.188 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.188 * [misc]taylor:  Taking taylor expansion of n in n
1550838864.188 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.188 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.189 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838864.189 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838864.189 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838864.189 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838864.189 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838864.190 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))
1550838864.190 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838864.190 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838864.190 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.190 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of k in n
1550838864.190 * [misc]backup-simplify:  Simplify k into k
1550838864.190 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838864.190 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838864.190 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.190 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in n
1550838864.190 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838864.190 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.190 * [misc]taylor:  Taking taylor expansion of n in n
1550838864.190 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.190 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.191 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838864.191 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838864.191 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838864.191 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838864.191 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838864.192 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))
1550838864.192 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838864.192 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k
1550838864.192 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k
1550838864.192 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.192 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.192 * [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k
1550838864.192 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838864.192 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.192 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.192 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.192 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.192 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.193 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.193 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.193 * [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
1550838864.193 * [misc]taylor:  Taking taylor expansion of (log -1) in k
1550838864.193 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838864.193 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.193 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838864.193 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838864.193 * [misc]taylor:  Taking taylor expansion of n in k
1550838864.193 * [misc]backup-simplify:  Simplify n into n
1550838864.193 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838864.193 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.193 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1550838864.193 * [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
1550838864.194 * [misc]backup-simplify:  Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n))
1550838864.194 * [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
1550838864.194 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838864.194 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838864.195 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838864.197 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
1550838864.198 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838864.198 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.198 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1550838864.198 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838864.199 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0
1550838864.200 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838864.200 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.200 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.200 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.200 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.200 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.205 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
1550838864.205 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838864.205 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.205 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1550838864.206 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838864.206 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
1550838864.208 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838864.208 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.208 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.209 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.209 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.209 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.209 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.216 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
1550838864.216 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838864.216 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.217 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1550838864.217 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838864.218 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
1550838864.221 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838864.221 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838864.221 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.221 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.222 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
1550838864.222 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
1550838864.222 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1550838864.222 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1550838864.222 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838864.222 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.222 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.222 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.222 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.222 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.222 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.223 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.223 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838864.223 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.223 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.223 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.223 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.223 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.223 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.224 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.224 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.224 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.224 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838864.225 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838864.225 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.226 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.227 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838864.227 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.227 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838864.227 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1550838864.227 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1550838864.227 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838864.227 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.227 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.227 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.227 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.228 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.228 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838864.228 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.228 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.228 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.228 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.229 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.229 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.229 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.230 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838864.230 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.231 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838864.231 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.231 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838864.232 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1550838864.232 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1550838864.232 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838864.232 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838864.232 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838864.232 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838864.232 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.232 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.232 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.232 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.232 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838864.232 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.233 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838864.233 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838864.233 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838864.233 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838864.233 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838864.233 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838864.233 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.233 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.233 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.233 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.233 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838864.234 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.234 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838864.234 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838864.234 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838864.235 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838864.236 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838864.236 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838864.236 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838864.237 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.238 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838864.239 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838864.239 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838864.239 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838864.239 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
1550838864.240 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k)))
1550838864.240 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in (k) around 0
1550838864.240 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1550838864.240 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k
1550838864.240 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k
1550838864.240 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k
1550838864.240 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838864.240 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.240 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.240 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838864.240 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.240 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.240 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.241 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.241 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.241 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.241 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.241 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.241 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.241 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.241 * [misc]backup-simplify:  Simplify PI into PI
1550838864.241 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.241 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.242 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.242 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.242 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.243 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.243 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
1550838864.244 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838864.244 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.244 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.244 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.244 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.244 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.244 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.244 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.244 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 k))) (sqrt (/ 1 k))) in k
1550838864.244 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 k))) in k
1550838864.244 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 PI)))) in k
1550838864.244 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 PI))) in k
1550838864.245 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838864.245 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.245 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.245 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838864.245 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.245 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.245 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.245 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.245 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.245 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.245 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.245 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.245 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.245 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.245 * [misc]backup-simplify:  Simplify PI into PI
1550838864.245 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.246 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.246 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.246 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.246 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.248 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.249 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 PI)))) into (pow (* 2 PI) 1/2)
1550838864.249 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838864.249 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.249 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.249 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.249 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.250 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.250 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.250 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.251 * [misc]backup-simplify:  Simplify (* (pow (* 2 PI) 1/2) 0) into 0
1550838864.251 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.252 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1550838864.254 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1550838864.254 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.254 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.255 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838864.256 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 PI)))) into (- (* 1/2 (log (* 2 PI))))
1550838864.259 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1)))) into (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI))))
1550838864.263 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
1550838864.264 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
1550838864.264 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838864.265 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838864.267 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1550838864.272 * [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
1550838864.272 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.272 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.272 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838864.274 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 PI))))) into 0
1550838864.279 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2)))
1550838864.285 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))))
1550838864.289 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))))))
1550838864.290 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.291 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838864.292 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1550838864.300 * [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
1550838864.300 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838864.301 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838864.301 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
1550838864.303 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 PI)))))) into 0
1550838864.310 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log (* 2 PI)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 PI)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3)))
1550838864.321 * [misc]backup-simplify:  Simplify (+ (* (pow (* 2 PI) 1/2) +nan.0) (+ (* (* -1/2 (* (sqrt (* PI 2)) (log (* 2 PI)))) +nan.0) (+ (* (* 1/8 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 2))) +nan.0) (* (* -1/48 (* (sqrt (* PI 2)) (pow (log (* 2 PI)) 3))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))))))))
1550838864.330 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI))))))))
1550838864.341 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 PI)) 2)) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 PI))) (sqrt PI)))))) k) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))
1550838864.341 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 k))) (pow (* 2 PI) (/ (- 1 (/ 1 k)) 2))) into (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k))
1550838864.341 * [misc]approximate:  Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in (k) around 0
1550838864.341 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1550838864.341 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k
1550838864.341 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k
1550838864.341 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k
1550838864.341 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838864.341 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.341 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.341 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838864.342 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.342 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.342 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.342 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.342 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.342 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.342 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.342 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.342 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.342 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.342 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.342 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.342 * [misc]backup-simplify:  Simplify PI into PI
1550838864.342 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.342 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.342 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.342 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.343 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838864.343 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
1550838864.343 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
1550838864.343 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838864.343 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.343 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.343 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.343 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.344 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.344 * [misc]taylor:  Taking taylor expansion of (* (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) (sqrt k)) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (- 1 (/ 1 k)))) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI))) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.344 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.344 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.344 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.344 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.344 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.344 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.344 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.344 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.344 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.344 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.344 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.344 * [misc]backup-simplify:  Simplify PI into PI
1550838864.344 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.345 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.345 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838864.345 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838864.345 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838864.345 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 PI))) into (* -1/2 (log (* 2 PI)))
1550838864.346 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))
1550838864.346 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838864.346 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.346 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.346 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.346 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.346 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838864.347 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) 0) into 0
1550838864.347 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.347 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
1550838864.348 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
1550838864.348 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838864.349 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
1550838864.349 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
1550838864.350 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838864.350 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
1550838864.351 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log (* 2 PI)))))))
1550838864.352 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log (* 2 PI))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))
1550838864.353 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (pow (* 2 PI) (/ (- 1 (/ 1 (- k))) 2))) into (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k)))
1550838864.353 * [misc]approximate:  Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (k) around 0
1550838864.353 * [misc]taylor:  Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.353 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.353 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.353 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.353 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.353 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.353 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.353 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.353 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.353 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.353 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.353 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.353 * [misc]backup-simplify:  Simplify PI into PI
1550838864.353 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.354 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.354 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.354 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.354 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.355 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))
1550838864.355 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838864.355 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838864.355 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838864.355 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.355 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.355 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.355 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.355 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838864.355 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.355 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838864.356 * [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))
1550838864.356 * [misc]taylor:  Taking taylor expansion of (/ (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of (pow (* 2 PI) (* 1/2 (+ (/ 1 k) 1))) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI))) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838864.356 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838864.356 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.356 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.356 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.356 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838864.356 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838864.356 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.356 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1550838864.356 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838864.356 * [misc]backup-simplify:  Simplify 2 into 2
1550838864.356 * [misc]taylor:  Taking taylor expansion of PI in k
1550838864.356 * [misc]backup-simplify:  Simplify PI into PI
1550838864.356 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1550838864.356 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1550838864.357 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838864.357 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838864.357 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 PI))) into (* 1/2 (log (* 2 PI)))
1550838864.357 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* 2 PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))
1550838864.357 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838864.357 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838864.358 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838864.358 * [misc]backup-simplify:  Simplify -1 into -1
1550838864.358 * [misc]taylor:  Taking taylor expansion of k in k
1550838864.358 * [misc]backup-simplify:  Simplify 0 into 0
1550838864.358 * [misc]backup-simplify:  Simplify 1 into 1
1550838864.358 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838864.358 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838864.358 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838864.358 * [misc]backup-simplify:  Simplify (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))) +nan.0) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))
1550838864.359 * [misc]backup-simplify:  Simplify (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) into (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))
1550838864.359 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838864.360 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838864.360 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))
1550838864.361 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))
1550838864.361 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838864.361 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838864.362 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))
1550838864.363 * [misc]backup-simplify:  Simplify (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log (* 2 PI)))))))
1550838864.364 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI))))))) (/ 1 (- k))) (* +nan.0 (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log (* 2 PI)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))))
1550838864.364 * * * [misc]progress:  simplifying candidates
1550838864.364 * * * * [misc]progress:  [ 1 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (log (* 2 PI)) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838864.364 * [enter]simplify:  Simplifying (* (log (* 2 PI)) (/ (- 1 k) 2))
1550838864.364 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838864.368 * * [misc]simplify:  iters left: 5 (42 enodes)
1550838864.382 * * [misc]simplify:  iters left: 4 (74 enodes)
1550838864.406 * * [misc]simplify:  iters left: 3 (126 enodes)
1550838864.450 * * [misc]simplify:  iters left: 2 (247 enodes)
1550838864.559 * * [misc]simplify:  iters left: 1 (476 enodes)
1550838864.754 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838864.754 * * [misc]simplify:  Extracting #1: cost 30 inf + 0
1550838864.754 * * [misc]simplify:  Extracting #2: cost 101 inf + 3
1550838864.755 * * [misc]simplify:  Extracting #3: cost 128 inf + 242
1550838864.758 * * [misc]simplify:  Extracting #4: cost 87 inf + 5433
1550838864.765 * * [misc]simplify:  Extracting #5: cost 20 inf + 18250
1550838864.774 * * [misc]simplify:  Extracting #6: cost 1 inf + 22360
1550838864.785 * * [misc]simplify:  Extracting #7: cost 0 inf + 22617
1550838864.795 * [exit]simplify:  Simplified to (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2)
1550838864.795 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (exp (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2))) (pow n (/ (- 1 k) 2))))
1550838864.795 * * * * [misc]progress:  [ 2 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* (log (* 2 PI)) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838864.796 * * * * [misc]progress:  [ 3 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838864.796 * [enter]simplify:  Simplifying (* 2 PI)
1550838864.796 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838864.798 * * [misc]simplify:  iters left: 1 (10 enodes)
1550838865.160 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.160 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838865.160 * * [misc]simplify:  Extracting #2: cost 2 inf + 2
1550838865.160 * * [misc]simplify:  Extracting #3: cost 0 inf + 86
1550838865.160 * [exit]simplify:  Simplified to (* 2 PI)
1550838865.160 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (* 1 (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838865.161 * * * * [misc]progress:  [ 4 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.161 * [enter]simplify:  Simplifying (pow (* 2 PI) (/ k 2))
1550838865.161 * * [misc]simplify:  iters left: 3 (6 enodes)
1550838865.162 * * [misc]simplify:  iters left: 2 (19 enodes)
1550838865.165 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.165 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838865.165 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838865.165 * * [misc]simplify:  Extracting #3: cost 6 inf + 3
1550838865.166 * * [misc]simplify:  Extracting #4: cost 0 inf + 757
1550838865.166 * [exit]simplify:  Simplified to (pow (* 2 PI) (/ k 2))
1550838865.166 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (/ (pow (* 2 PI) (/ 1 2)) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838865.166 * * * * [misc]progress:  [ 5 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.166 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838865.166 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838865.168 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838865.175 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838865.185 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.185 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.185 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838865.185 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838865.185 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838865.185 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838865.186 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838865.186 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838865.186 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838865.186 * * * * [misc]progress:  [ 6 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.186 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838865.186 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838865.191 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838865.199 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838865.210 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.210 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.210 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838865.210 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838865.210 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838865.210 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838865.211 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838865.211 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838865.211 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838865.211 * * * * [misc]progress:  [ 7 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.211 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838865.212 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838865.215 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838865.223 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838865.232 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.232 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838865.232 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838865.232 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838865.232 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838865.232 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838865.233 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) 1) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838865.233 * * * * [misc]progress:  [ 8 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (- 1 k)) (/ 1 2))) (pow n (/ (- 1 k) 2))))>
1550838865.233 * [enter]simplify:  Simplifying (/ 1 2)
1550838865.233 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838865.236 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838865.240 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.240 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838865.240 * [exit]simplify:  Simplified to 1/2
1550838865.240 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (- 1 k)) 1/2)) (pow n (/ (- 1 k) 2))))
1550838865.240 * * * * [misc]progress:  [ 9 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.240 * [enter]simplify:  Simplifying (pow 2 (/ (- 1 k) 2))
1550838865.241 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838865.244 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838865.252 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838865.262 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.263 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838865.263 * * [misc]simplify:  Extracting #2: cost 7 inf + 1
1550838865.263 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838865.263 * * [misc]simplify:  Extracting #4: cost 6 inf + 171
1550838865.263 * * [misc]simplify:  Extracting #5: cost 2 inf + 630
1550838865.263 * * [misc]simplify:  Extracting #6: cost 0 inf + 1006
1550838865.264 * [exit]simplify:  Simplified to (pow 2 (- 1/2 (/ k 2)))
1550838865.264 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (- 1/2 (/ k 2))) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838865.264 * * * * [misc]progress:  [ 10 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (pow (* 2 PI) (/ (- 1 k) 2)) 1)) (pow n (/ (- 1 k) 2))))>
1550838865.264 * * * * [misc]progress:  [ 11 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (exp (log (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.264 * * * * [misc]progress:  [ 12 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (log (exp (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.264 * * * * [misc]progress:  [ 13 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.264 * * * * [misc]progress:  [ 14 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (cbrt (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.264 * * * * [misc]progress:  [ 15 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (sqrt (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.264 * * * * [misc]progress:  [ 16 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* 1 (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.265 * * * * [misc]progress:  [ 17 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (posit16->real (real->posit16 (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.265 * * * * [misc]progress:  [ 18 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* (log n) (/ (- 1 k) 2)))))>
1550838865.265 * * * * [misc]progress:  [ 19 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))>
1550838865.265 * [enter]simplify:  Simplifying (pow n (/ k 2))
1550838865.265 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838865.267 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838865.272 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.272 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838865.272 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838865.272 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838865.272 * [exit]simplify:  Simplified to (pow n (/ k 2))
1550838865.272 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
1550838865.272 * * * * [misc]progress:  [ 20 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
1550838865.273 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838865.273 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838865.277 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838865.281 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838865.286 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.286 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.286 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838865.286 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838865.286 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838865.286 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838865.287 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838865.287 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838865.287 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
1550838865.287 * * * * [misc]progress:  [ 21 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
1550838865.287 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838865.287 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838865.294 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838865.298 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838865.303 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.303 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.303 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838865.303 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838865.303 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838865.304 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838865.304 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838865.304 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838865.304 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
1550838865.304 * * * * [misc]progress:  [ 22 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n 1) (/ (- 1 k) 2))))>
1550838865.304 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838865.304 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838865.306 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838865.310 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838865.315 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.315 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838865.315 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838865.315 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838865.315 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838865.316 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838865.316 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n 1) (/ (- 1 k) 2))))
1550838865.316 * * * * [misc]progress:  [ 23 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (- 1 k)) (/ 1 2))))>
1550838865.316 * [enter]simplify:  Simplifying (/ 1 2)
1550838865.316 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838865.318 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838865.320 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.320 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838865.320 * [exit]simplify:  Simplified to 1/2
1550838865.320 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (- 1 k)) 1/2)))
1550838865.320 * * * * [misc]progress:  [ 24 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (pow n (/ (- 1 k) 2)) 1)))>
1550838865.320 * * * * [misc]progress:  [ 25 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (log (pow n (/ (- 1 k) 2))))))>
1550838865.320 * * * * [misc]progress:  [ 26 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (log (exp (pow n (/ (- 1 k) 2))))))>
1550838865.320 * * * * [misc]progress:  [ 27 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2))))))>
1550838865.320 * * * * [misc]progress:  [ 28 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))))>
1550838865.320 * * * * [misc]progress:  [ 29 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))))>
1550838865.320 * * * * [misc]progress:  [ 30 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* 1 (pow n (/ (- 1 k) 2)))))>
1550838865.320 * * * * [misc]progress:  [ 31 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (posit16->real (real->posit16 (pow n (/ (- 1 k) 2))))))>
1550838865.320 * * * * [misc]progress:  [ 32 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.320 * * * * [misc]progress:  [ 33 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (- 1/2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.320 * [enter]simplify:  Simplifying (- 1/2)
1550838865.320 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838865.322 * * [misc]simplify:  iters left: 1 (7 enodes)
1550838865.323 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.323 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838865.323 * [exit]simplify:  Simplified to -1/2
1550838865.323 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838865.323 * * * * [misc]progress:  [ 34 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) (- 1)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.323 * [enter]simplify:  Simplifying (- 1)
1550838865.323 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838865.324 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838865.327 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.327 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838865.327 * [exit]simplify:  Simplified to -1
1550838865.327 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (pow (sqrt k) -1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838865.328 * * * * [misc]progress:  [ 35 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (/ 1 (sqrt k)) 1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 36 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (- (log (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 37 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (log (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 38 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (log (exp (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 39 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 40 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 41 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 42 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (- 1) (- (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 43 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 44 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 45 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt k) 1)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.328 * * * * [misc]progress:  [ 46 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.329 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1550838865.329 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838865.330 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838865.332 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.332 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.332 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838865.332 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838865.332 * * [misc]simplify:  Extracting #4: cost 0 inf + 325
1550838865.332 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1550838865.332 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838865.333 * * * * [misc]progress:  [ 47 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.333 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1550838865.333 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838865.334 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838865.337 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.337 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.337 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838865.337 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838865.337 * * [misc]simplify:  Extracting #4: cost 0 inf + 245
1550838865.337 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1550838865.337 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838865.337 * * * * [misc]progress:  [ 48 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.338 * [enter]simplify:  Simplifying (sqrt k)
1550838865.338 * * [misc]simplify:  iters left: 1 (2 enodes)
1550838865.338 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.338 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838865.338 * * [misc]simplify:  Extracting #2: cost 2 inf + 1
1550838865.338 * * [misc]simplify:  Extracting #3: cost 0 inf + 83
1550838865.339 * [exit]simplify:  Simplified to (sqrt k)
1550838865.339 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838865.339 * * * * [misc]progress:  [ 49 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838865.339 * * * * [misc]progress:  [ 50 / 88 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) 1) (pow n (/ (- 1 k) 2))))>
1550838865.339 * * * * [misc]progress:  [ 51 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.339 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))
1550838865.339 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838865.347 * * [misc]simplify:  iters left: 5 (55 enodes)
1550838865.359 * * [misc]simplify:  iters left: 4 (88 enodes)
1550838865.374 * * [misc]simplify:  iters left: 3 (152 enodes)
1550838865.410 * * [misc]simplify:  iters left: 2 (293 enodes)
1550838865.504 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.504 * * [misc]simplify:  Extracting #1: cost 10 inf + 0
1550838865.504 * * [misc]simplify:  Extracting #2: cost 44 inf + 0
1550838865.505 * * [misc]simplify:  Extracting #3: cost 87 inf + 73
1550838865.505 * * [misc]simplify:  Extracting #4: cost 100 inf + 1164
1550838865.507 * * [misc]simplify:  Extracting #5: cost 37 inf + 11868
1550838865.510 * * [misc]simplify:  Extracting #6: cost 6 inf + 19245
1550838865.515 * * [misc]simplify:  Extracting #7: cost 0 inf + 20758
1550838865.519 * * [misc]simplify:  Extracting #8: cost 0 inf + 20757
1550838865.524 * [exit]simplify:  Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))
1550838865.524 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838865.524 * * * * [misc]progress:  [ 52 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.524 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))
1550838865.524 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838865.528 * * [misc]simplify:  iters left: 5 (55 enodes)
1550838865.546 * * [misc]simplify:  iters left: 4 (88 enodes)
1550838865.576 * * [misc]simplify:  iters left: 3 (152 enodes)
1550838865.629 * * [misc]simplify:  iters left: 2 (293 enodes)
1550838865.711 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.711 * * [misc]simplify:  Extracting #1: cost 10 inf + 0
1550838865.711 * * [misc]simplify:  Extracting #2: cost 44 inf + 0
1550838865.712 * * [misc]simplify:  Extracting #3: cost 87 inf + 73
1550838865.712 * * [misc]simplify:  Extracting #4: cost 100 inf + 1164
1550838865.714 * * [misc]simplify:  Extracting #5: cost 37 inf + 11868
1550838865.719 * * [misc]simplify:  Extracting #6: cost 6 inf + 19245
1550838865.727 * * [misc]simplify:  Extracting #7: cost 0 inf + 20758
1550838865.736 * * [misc]simplify:  Extracting #8: cost 0 inf + 20757
1550838865.744 * [exit]simplify:  Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))
1550838865.745 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838865.745 * * * * [misc]progress:  [ 53 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838865.745 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2))))
1550838865.745 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838865.752 * * [misc]simplify:  iters left: 5 (51 enodes)
1550838865.767 * * [misc]simplify:  iters left: 4 (70 enodes)
1550838865.788 * * [misc]simplify:  iters left: 3 (96 enodes)
1550838865.823 * * [misc]simplify:  iters left: 2 (169 enodes)
1550838865.855 * * [misc]simplify:  iters left: 1 (253 enodes)
1550838865.909 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838865.909 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838865.909 * * [misc]simplify:  Extracting #2: cost 78 inf + 0
1550838865.909 * * [misc]simplify:  Extracting #3: cost 97 inf + 324
1550838865.910 * * [misc]simplify:  Extracting #4: cost 73 inf + 3769
1550838865.912 * * [misc]simplify:  Extracting #5: cost 21 inf + 13718
1550838865.918 * * [misc]simplify:  Extracting #6: cost 4 inf + 17215
1550838865.925 * * [misc]simplify:  Extracting #7: cost 0 inf + 18701
1550838865.933 * * [misc]simplify:  Extracting #8: cost 0 inf + 18700
1550838865.940 * [exit]simplify:  Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))
1550838865.941 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838865.941 * * * * [misc]progress:  [ 54 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838865.941 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))
1550838865.941 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838865.949 * * [misc]simplify:  iters left: 5 (59 enodes)
1550838865.966 * * [misc]simplify:  iters left: 4 (94 enodes)
1550838865.991 * * [misc]simplify:  iters left: 3 (162 enodes)
1550838866.027 * * [misc]simplify:  iters left: 2 (319 enodes)
1550838866.129 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838866.129 * * [misc]simplify:  Extracting #1: cost 15 inf + 0
1550838866.130 * * [misc]simplify:  Extracting #2: cost 62 inf + 1
1550838866.130 * * [misc]simplify:  Extracting #3: cost 108 inf + 186
1550838866.131 * * [misc]simplify:  Extracting #4: cost 111 inf + 1989
1550838866.133 * * [misc]simplify:  Extracting #5: cost 32 inf + 17308
1550838866.141 * * [misc]simplify:  Extracting #6: cost 3 inf + 23659
1550838866.151 * * [misc]simplify:  Extracting #7: cost 0 inf + 24683
1550838866.162 * * [misc]simplify:  Extracting #8: cost 0 inf + 24680
1550838866.168 * [exit]simplify:  Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))
1550838866.169 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838866.169 * * * * [misc]progress:  [ 55 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838866.169 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (* (log (* 2 PI)) (/ (- 1 k) 2)))
1550838866.169 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838866.173 * * [misc]simplify:  iters left: 5 (59 enodes)
1550838866.186 * * [misc]simplify:  iters left: 4 (94 enodes)
1550838866.207 * * [misc]simplify:  iters left: 3 (162 enodes)
1550838866.262 * * [misc]simplify:  iters left: 2 (319 enodes)
1550838866.414 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838866.415 * * [misc]simplify:  Extracting #1: cost 15 inf + 0
1550838866.415 * * [misc]simplify:  Extracting #2: cost 62 inf + 1
1550838866.416 * * [misc]simplify:  Extracting #3: cost 108 inf + 186
1550838866.417 * * [misc]simplify:  Extracting #4: cost 111 inf + 1989
1550838866.421 * * [misc]simplify:  Extracting #5: cost 32 inf + 17308
1550838866.429 * * [misc]simplify:  Extracting #6: cost 3 inf + 23659
1550838866.434 * * [misc]simplify:  Extracting #7: cost 0 inf + 24683
1550838866.440 * * [misc]simplify:  Extracting #8: cost 0 inf + 24680
1550838866.446 * [exit]simplify:  Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))
1550838866.446 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838866.446 * * * * [misc]progress:  [ 56 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838866.446 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (pow (* 2 PI) (/ (- 1 k) 2))))
1550838866.446 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838866.450 * * [misc]simplify:  iters left: 5 (55 enodes)
1550838866.463 * * [misc]simplify:  iters left: 4 (76 enodes)
1550838866.475 * * [misc]simplify:  iters left: 3 (106 enodes)
1550838866.499 * * [misc]simplify:  iters left: 2 (201 enodes)
1550838866.566 * * [misc]simplify:  iters left: 1 (350 enodes)
1550838866.690 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838866.690 * * [misc]simplify:  Extracting #1: cost 29 inf + 0
1550838866.691 * * [misc]simplify:  Extracting #2: cost 108 inf + 1
1550838866.691 * * [misc]simplify:  Extracting #3: cost 140 inf + 488
1550838866.692 * * [misc]simplify:  Extracting #4: cost 114 inf + 3968
1550838866.698 * * [misc]simplify:  Extracting #5: cost 46 inf + 17469
1550838866.707 * * [misc]simplify:  Extracting #6: cost 4 inf + 26902
1550838866.713 * * [misc]simplify:  Extracting #7: cost 0 inf + 28314
1550838866.720 * [exit]simplify:  Simplified to (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))
1550838866.720 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (log (* 2 PI)) (* (log (* 2 PI)) k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838866.720 * * * * [misc]progress:  [ 57 / 88 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838866.720 * * * * [misc]progress:  [ 58 / 88 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838866.720 * * * * [misc]progress:  [ 59 / 88 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838866.720 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (pow (* 2 PI) (/ (- 1 k) 2))) (pow (* 2 PI) (/ (- 1 k) 2))))
1550838866.720 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838866.725 * * [misc]simplify:  iters left: 5 (67 enodes)
1550838866.740 * * [misc]simplify:  iters left: 4 (116 enodes)
1550838866.771 * * [misc]simplify:  iters left: 3 (219 enodes)
1550838866.841 * * [misc]simplify:  iters left: 2 (338 enodes)
1550838866.965 * * [misc]simplify:  iters left: 1 (452 enodes)
1550838867.194 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.194 * * [misc]simplify:  Extracting #1: cost 30 inf + 0
1550838867.194 * * [misc]simplify:  Extracting #2: cost 54 inf + 3
1550838867.195 * * [misc]simplify:  Extracting #3: cost 51 inf + 739
1550838867.195 * * [misc]simplify:  Extracting #4: cost 49 inf + 826
1550838867.197 * * [misc]simplify:  Extracting #5: cost 25 inf + 8813
1550838867.204 * * [misc]simplify:  Extracting #6: cost 2 inf + 18882
1550838867.216 * * [misc]simplify:  Extracting #7: cost 0 inf + 19830
1550838867.222 * [exit]simplify:  Simplified to (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt k) k)))
1550838867.222 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (cbrt (* (pow (* PI 2) (/ (- 1 k) 2)) (/ (* (pow (* PI 2) (/ (- 1 k) 2)) (pow (* PI 2) (/ (- 1 k) 2))) (* (sqrt k) k)))) (pow n (/ (- 1 k) 2))))
1550838867.222 * * * * [misc]progress:  [ 60 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (cbrt (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838867.222 * * * * [misc]progress:  [ 61 / 88 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838867.222 * * * * [misc]progress:  [ 62 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838867.222 * * * * [misc]progress:  [ 63 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (pow (* 2 PI) (/ 1 2))) (* (sqrt k) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.223 * [enter]simplify:  Simplifying (* 1 (pow (* 2 PI) (/ 1 2)))
1550838867.223 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838867.226 * * [misc]simplify:  iters left: 4 (24 enodes)
1550838867.231 * * [misc]simplify:  iters left: 3 (29 enodes)
1550838867.235 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.235 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838867.235 * * [misc]simplify:  Extracting #2: cost 6 inf + 2
1550838867.236 * * [misc]simplify:  Extracting #3: cost 4 inf + 4
1550838867.236 * * [misc]simplify:  Extracting #4: cost 1 inf + 170
1550838867.236 * * [misc]simplify:  Extracting #5: cost 0 inf + 252
1550838867.236 * [exit]simplify:  Simplified to (sqrt (* PI 2))
1550838867.236 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (sqrt (* PI 2)) (* (sqrt k) (pow (* 2 PI) (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838867.236 * [enter]simplify:  Simplifying (* (sqrt k) (pow (* 2 PI) (/ k 2)))
1550838867.236 * * [misc]simplify:  iters left: 5 (8 enodes)
1550838867.238 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838867.242 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.242 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838867.242 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838867.242 * * [misc]simplify:  Extracting #3: cost 12 inf + 1
1550838867.242 * * [misc]simplify:  Extracting #4: cost 8 inf + 86
1550838867.242 * * [misc]simplify:  Extracting #5: cost 1 inf + 1212
1550838867.242 * * [misc]simplify:  Extracting #6: cost 0 inf + 1585
1550838867.243 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (/ k 2)) (sqrt k))
1550838867.243 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (sqrt (* PI 2)) (* (pow (* 2 PI) (/ k 2)) (sqrt k))) (pow n (/ (- 1 k) 2))))
1550838867.243 * * * * [misc]progress:  [ 64 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.243 * * * * [misc]progress:  [ 65 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838867.243 * [enter]simplify:  Simplifying (pow PI (/ (- 1 k) 2))
1550838867.243 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838867.245 * * [misc]simplify:  iters left: 4 (29 enodes)
1550838867.251 * * [misc]simplify:  iters left: 3 (38 enodes)
1550838867.256 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.256 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838867.256 * * [misc]simplify:  Extracting #2: cost 8 inf + 1
1550838867.256 * * [misc]simplify:  Extracting #3: cost 11 inf + 3
1550838867.256 * * [misc]simplify:  Extracting #4: cost 4 inf + 338
1550838867.256 * * [misc]simplify:  Extracting #5: cost 0 inf + 1009
1550838867.257 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1550838867.257 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2))) (pow PI (- 1/2 (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838867.257 * * * * [misc]progress:  [ 66 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.257 * [enter]simplify:  Simplifying (cbrt (pow (* 2 PI) (/ (- 1 k) 2)))
1550838867.257 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838867.260 * * [misc]simplify:  iters left: 5 (36 enodes)
1550838867.266 * * [misc]simplify:  iters left: 4 (45 enodes)
1550838867.273 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.273 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838867.273 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838867.273 * * [misc]simplify:  Extracting #3: cost 13 inf + 0
1550838867.273 * * [misc]simplify:  Extracting #4: cost 15 inf + 3
1550838867.273 * * [misc]simplify:  Extracting #5: cost 9 inf + 214
1550838867.273 * * [misc]simplify:  Extracting #6: cost 2 inf + 1173
1550838867.273 * * [misc]simplify:  Extracting #7: cost 0 inf + 2001
1550838867.274 * [exit]simplify:  Simplified to (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))
1550838867.274 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (* (cbrt (pow (* 2 PI) (/ (- 1 k) 2))) (cbrt (pow (* 2 PI) (/ (- 1 k) 2))))) (cbrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838867.274 * * * * [misc]progress:  [ 67 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.274 * [enter]simplify:  Simplifying (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))
1550838867.274 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838867.277 * * [misc]simplify:  iters left: 5 (36 enodes)
1550838867.284 * * [misc]simplify:  iters left: 4 (45 enodes)
1550838867.291 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.291 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838867.291 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838867.291 * * [misc]simplify:  Extracting #3: cost 13 inf + 0
1550838867.291 * * [misc]simplify:  Extracting #4: cost 15 inf + 3
1550838867.291 * * [misc]simplify:  Extracting #5: cost 9 inf + 214
1550838867.291 * * [misc]simplify:  Extracting #6: cost 2 inf + 1173
1550838867.292 * * [misc]simplify:  Extracting #7: cost 0 inf + 1921
1550838867.292 * [exit]simplify:  Simplified to (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))
1550838867.292 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (sqrt (pow (* 2 PI) (/ (- 1 k) 2)))) (sqrt (pow (* 2 PI) (- 1/2 (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838867.292 * * * * [misc]progress:  [ 68 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838867.292 * [enter]simplify:  Simplifying (pow (* 2 PI) (/ (- 1 k) 2))
1550838867.292 * * [misc]simplify:  iters left: 5 (8 enodes)
1550838867.295 * * [misc]simplify:  iters left: 4 (33 enodes)
1550838867.300 * * [misc]simplify:  iters left: 3 (42 enodes)
1550838867.307 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.307 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838867.307 * * [misc]simplify:  Extracting #2: cost 11 inf + 0
1550838867.307 * * [misc]simplify:  Extracting #3: cost 13 inf + 3
1550838867.307 * * [misc]simplify:  Extracting #4: cost 8 inf + 172
1550838867.307 * * [misc]simplify:  Extracting #5: cost 1 inf + 839
1550838867.307 * * [misc]simplify:  Extracting #6: cost 0 inf + 1173
1550838867.307 * [exit]simplify:  Simplified to (pow (* 2 PI) (- 1/2 (/ k 2)))
1550838867.307 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) 1) (pow (* 2 PI) (- 1/2 (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838867.308 * * * * [misc]progress:  [ 69 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.308 * [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1550838867.308 * * [misc]simplify:  iters left: 6 (6 enodes)
1550838867.309 * * [misc]simplify:  iters left: 5 (20 enodes)
1550838867.314 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838867.320 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.320 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838867.320 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838867.321 * * [misc]simplify:  Extracting #3: cost 8 inf + 0
1550838867.321 * * [misc]simplify:  Extracting #4: cost 9 inf + 1
1550838867.321 * * [misc]simplify:  Extracting #5: cost 8 inf + 2
1550838867.321 * * [misc]simplify:  Extracting #6: cost 1 inf + 774
1550838867.321 * * [misc]simplify:  Extracting #7: cost 0 inf + 976
1550838867.321 * [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1550838867.321 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838867.322 * * * * [misc]progress:  [ 70 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.322 * [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
1550838867.322 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838867.325 * * [misc]simplify:  iters left: 3 (17 enodes)
1550838867.330 * * [misc]simplify:  iters left: 2 (19 enodes)
1550838867.335 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.335 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838867.336 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838867.336 * * [misc]simplify:  Extracting #3: cost 7 inf + 1
1550838867.336 * * [misc]simplify:  Extracting #4: cost 0 inf + 492
1550838867.336 * [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
1550838867.336 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838867.336 * * * * [misc]progress:  [ 71 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.336 * * * * [misc]progress:  [ 72 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838867.336 * * * * [misc]progress:  [ 73 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (pow n (/ (- 1 k) 2))))>
1550838867.337 * [enter]simplify:  Simplifying (pow (* 2 PI) (/ k 2))
1550838867.337 * * [misc]simplify:  iters left: 3 (6 enodes)
1550838867.340 * * [misc]simplify:  iters left: 2 (19 enodes)
1550838867.345 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.345 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838867.345 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838867.345 * * [misc]simplify:  Extracting #3: cost 6 inf + 3
1550838867.345 * * [misc]simplify:  Extracting #4: cost 0 inf + 757
1550838867.346 * [exit]simplify:  Simplified to (pow (* 2 PI) (/ k 2))
1550838867.346 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ 1 2))) (pow (* 2 PI) (/ k 2))) (pow n (/ (- 1 k) 2))))
1550838867.346 * * * * [misc]progress:  [ 74 / 88 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt k)) (pow n (/ (- 1 k) 2))))>
1550838867.346 * [enter]simplify:  Simplifying (* 1 (pow (* 2 PI) (/ (- 1 k) 2)))
1550838867.346 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838867.351 * * [misc]simplify:  iters left: 5 (35 enodes)
1550838867.362 * * [misc]simplify:  iters left: 4 (46 enodes)
1550838867.369 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.369 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838867.369 * * [misc]simplify:  Extracting #2: cost 11 inf + 1
1550838867.369 * * [misc]simplify:  Extracting #3: cost 10 inf + 88
1550838867.369 * * [misc]simplify:  Extracting #4: cost 5 inf + 298
1550838867.370 * * [misc]simplify:  Extracting #5: cost 0 inf + 1173
1550838867.370 * [exit]simplify:  Simplified to (pow (* PI 2) (- 1/2 (/ k 2)))
1550838867.370 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (pow (* PI 2) (- 1/2 (/ k 2))) (sqrt k)) (pow n (/ (- 1 k) 2))))
1550838867.370 * * * * [misc]progress:  [ 75 / 88 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838867.370 * * * * [misc]progress:  [ 76 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* 2 PI) (/ (- 1 k) 2)) (/ 1 (sqrt k))) (pow n (/ (- 1 k) 2))))>
1550838867.370 * * * * [misc]progress:  [ 77 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))))) (pow n (/ (- 1 k) 2))))>
1550838867.370 * [enter]simplify:  Simplifying (- (+ (* 1/8 (* (* (sqrt 2) (* (pow k 2) (pow (log (* 2 PI)) 2))) (sqrt PI))) (pow (* 2 PI) 1/2)) (* 1/2 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))))
1550838867.370 * * [misc]simplify:  iters left: 6 (22 enodes)
1550838867.377 * * [misc]simplify:  iters left: 5 (98 enodes)
1550838867.394 * * [misc]simplify:  iters left: 4 (233 enodes)
1550838867.480 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.480 * * [misc]simplify:  Extracting #1: cost 10 inf + 0
1550838867.480 * * [misc]simplify:  Extracting #2: cost 98 inf + 0
1550838867.481 * * [misc]simplify:  Extracting #3: cost 263 inf + 45
1550838867.482 * * [misc]simplify:  Extracting #4: cost 234 inf + 9206
1550838867.492 * * [misc]simplify:  Extracting #5: cost 36 inf + 59402
1550838867.522 * * [misc]simplify:  Extracting #6: cost 0 inf + 69575
1550838867.535 * * [misc]simplify:  Extracting #7: cost 0 inf + 69535
1550838867.548 * [exit]simplify:  Simplified to (+ (* (sqrt PI) (+ (* 1/8 (* (sqrt 2) (* (* k k) (* (log (* PI 2)) (log (* PI 2)))))) (* -1/2 (* k (* (log (* PI 2)) (sqrt 2)))))) (sqrt (* PI 2)))
1550838867.548 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (+ (* (sqrt PI) (+ (* 1/8 (* (sqrt 2) (* (* k k) (* (log (* PI 2)) (log (* PI 2)))))) (* -1/2 (* k (* (log (* PI 2)) (sqrt 2)))))) (sqrt (* PI 2)))) (pow n (/ (- 1 k) 2))))
1550838867.548 * * * * [misc]progress:  [ 78 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow n (/ (- 1 k) 2))))>
1550838867.548 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
1550838867.548 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838867.553 * * [misc]simplify:  iters left: 5 (47 enodes)
1550838867.566 * * [misc]simplify:  iters left: 4 (95 enodes)
1550838867.588 * * [misc]simplify:  iters left: 3 (232 enodes)
1550838867.644 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.644 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838867.644 * * [misc]simplify:  Extracting #2: cost 89 inf + 143
1550838867.645 * * [misc]simplify:  Extracting #3: cost 126 inf + 1990
1550838867.646 * * [misc]simplify:  Extracting #4: cost 63 inf + 11238
1550838867.650 * * [misc]simplify:  Extracting #5: cost 5 inf + 22262
1550838867.655 * * [misc]simplify:  Extracting #6: cost 0 inf + 22949
1550838867.659 * * [misc]simplify:  Extracting #7: cost 0 inf + 22946
1550838867.664 * [exit]simplify:  Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))
1550838867.664 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (pow n (/ (- 1 k) 2))))
1550838867.664 * * * * [misc]progress:  [ 79 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))) (pow n (/ (- 1 k) 2))))>
1550838867.664 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))
1550838867.664 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838867.668 * * [misc]simplify:  iters left: 5 (47 enodes)
1550838867.680 * * [misc]simplify:  iters left: 4 (95 enodes)
1550838867.717 * * [misc]simplify:  iters left: 3 (232 enodes)
1550838867.784 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838867.784 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838867.784 * * [misc]simplify:  Extracting #2: cost 89 inf + 143
1550838867.786 * * [misc]simplify:  Extracting #3: cost 126 inf + 1990
1550838867.789 * * [misc]simplify:  Extracting #4: cost 63 inf + 11238
1550838867.797 * * [misc]simplify:  Extracting #5: cost 5 inf + 22262
1550838867.806 * * [misc]simplify:  Extracting #6: cost 0 inf + 22949
1550838867.815 * * [misc]simplify:  Extracting #7: cost 0 inf + 22946
1550838867.824 * [exit]simplify:  Simplified to (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))
1550838867.824 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (sqrt (exp (- (log (* 2 PI)) (* (log (* 2 PI)) k))))) (pow n (/ (- 1 k) 2))))
1550838867.824 * * * * [misc]progress:  [ 80 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))))>
1550838867.825 * [enter]simplify:  Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
1550838867.825 * * [misc]simplify:  iters left: 6 (18 enodes)
1550838867.834 * * [misc]simplify:  iters left: 5 (73 enodes)
1550838867.860 * * [misc]simplify:  iters left: 4 (159 enodes)
1550838867.916 * * [misc]simplify:  iters left: 3 (399 enodes)
1550838868.038 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838868.038 * * [misc]simplify:  Extracting #1: cost 13 inf + 0
1550838868.039 * * [misc]simplify:  Extracting #2: cost 104 inf + 0
1550838868.039 * * [misc]simplify:  Extracting #3: cost 163 inf + 982
1550838868.043 * * [misc]simplify:  Extracting #4: cost 51 inf + 20937
1550838868.050 * * [misc]simplify:  Extracting #5: cost 3 inf + 30644
1550838868.059 * * [misc]simplify:  Extracting #6: cost 0 inf + 31349
1550838868.077 * [exit]simplify:  Simplified to (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))
1550838868.077 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))
1550838868.078 * * * * [misc]progress:  [ 81 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))))>
1550838868.078 * [enter]simplify:  Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
1550838868.078 * * [misc]simplify:  iters left: 6 (10 enodes)
1550838868.085 * * [misc]simplify:  iters left: 5 (44 enodes)
1550838868.101 * * [misc]simplify:  iters left: 4 (83 enodes)
1550838868.128 * * [misc]simplify:  iters left: 3 (182 enodes)
1550838868.173 * * [misc]simplify:  iters left: 2 (428 enodes)
1550838868.364 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838868.364 * * [misc]simplify:  Extracting #1: cost 39 inf + 0
1550838868.365 * * [misc]simplify:  Extracting #2: cost 130 inf + 47
1550838868.366 * * [misc]simplify:  Extracting #3: cost 111 inf + 6231
1550838868.370 * * [misc]simplify:  Extracting #4: cost 11 inf + 20877
1550838868.374 * * [misc]simplify:  Extracting #5: cost 0 inf + 22202
1550838868.379 * * [misc]simplify:  Extracting #6: cost 0 inf + 22171
1550838868.386 * [exit]simplify:  Simplified to (exp (* (- (* (log n) k) (log n)) -1/2))
1550838868.387 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* (- (* (log n) k) (log n)) -1/2))))
1550838868.387 * * * * [misc]progress:  [ 82 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))))>
1550838868.387 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
1550838868.387 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838868.392 * * [misc]simplify:  iters left: 5 (53 enodes)
1550838868.407 * * [misc]simplify:  iters left: 4 (105 enodes)
1550838868.439 * * [misc]simplify:  iters left: 3 (282 enodes)
1550838868.539 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838868.539 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838868.539 * * [misc]simplify:  Extracting #2: cost 101 inf + 1
1550838868.540 * * [misc]simplify:  Extracting #3: cost 143 inf + 2238
1550838868.542 * * [misc]simplify:  Extracting #4: cost 54 inf + 17429
1550838868.550 * * [misc]simplify:  Extracting #5: cost 5 inf + 28903
1550838868.561 * * [misc]simplify:  Extracting #6: cost 0 inf + 28958
1550838868.567 * [exit]simplify:  Simplified to (sqrt (exp (- (log n) (* k (log n)))))
1550838868.567 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (sqrt (exp (- (log n) (* k (log n)))))))
1550838868.567 * * * * [misc]progress:  [ 83 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838868.567 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838868.567 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838868.567 * * * * [misc]progress:  [ 84 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838868.568 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838868.568 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838868.568 * * * * [misc]progress:  [ 85 / 88 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838868.568 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838868.568 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (pow (* 2 PI) (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))
1550838868.568 * * * * [misc]progress:  [ 86 / 88 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI)))))))))))))) (pow n (/ (- 1 k) 2))))>
1550838868.568 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log (* 2 PI)) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* k (log (* 2 PI)))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))
1550838868.568 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2))))
1550838868.568 * * * * [misc]progress:  [ 87 / 88 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2)))))))) (pow n (/ (- 1 k) 2))))>
1550838868.569 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))))))))
1550838868.569 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2))))
1550838868.569 * * * * [misc]progress:  [ 88 / 88 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))))))))) (pow n (/ (- 1 k) 2))))>
1550838868.569 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 1/2 (* (- 1 k) (log (* 2 PI))))) (pow k 2))) (- (* +nan.0 (exp (* 1/2 (* (- 1 k) (log (* 2 PI)))))))))))
1550838868.569 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2))))
1550838868.569 * * * [misc]progress:  adding candidates to table
1550838869.631 * * [misc]progress:  iteration 3 / 4
1550838869.631 * * * [misc]progress:  picking best candidate
1550838869.662 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838869.662 * * * [misc]progress:  localizing error
1550838869.678 * * * [misc]progress:  generating rewritten candidates
1550838869.678 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 2)
1550838869.679 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
1550838869.680 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 1)
1550838869.684 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1)
1550838869.728 * * * [misc]progress:  generating series expansions
1550838869.728 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 2)
1550838869.728 * [misc]backup-simplify:  Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k)))
1550838869.728 * [misc]approximate:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0
1550838869.728 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838869.729 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838869.729 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838869.729 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.729 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.729 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.729 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.729 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.729 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.729 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.729 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.729 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.729 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.729 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.729 * [misc]backup-simplify:  Simplify PI into PI
1550838869.730 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.730 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.730 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.731 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.731 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838869.732 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838869.732 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838869.732 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838869.732 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838869.732 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.732 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.732 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.732 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.732 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.732 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.732 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.732 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.732 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.732 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.732 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.732 * [misc]backup-simplify:  Simplify PI into PI
1550838869.733 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.733 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.733 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.733 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.733 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838869.734 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838869.735 * [misc]backup-simplify:  Simplify (pow PI 1/2) into (pow PI 1/2)
1550838869.737 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1550838869.737 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.737 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.738 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838869.738 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1550838869.742 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1550838869.743 * [misc]backup-simplify:  Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
1550838869.747 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1550838869.748 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.748 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.748 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838869.749 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1550838869.754 * [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)))
1550838869.755 * [misc]backup-simplify:  Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
1550838869.758 * [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))))
1550838869.758 * [misc]backup-simplify:  Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k))))
1550838869.758 * [misc]approximate:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0
1550838869.758 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838869.758 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838869.758 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838869.758 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838869.759 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.759 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.759 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838869.759 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.759 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.759 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.759 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.759 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.759 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.759 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.759 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.759 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.759 * [misc]backup-simplify:  Simplify PI into PI
1550838869.760 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.760 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.760 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.760 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838869.761 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838869.761 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838869.761 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838869.761 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838869.761 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838869.761 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838869.761 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.761 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.761 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838869.761 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.761 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.761 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.761 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.761 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.761 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.762 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.762 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.762 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.762 * [misc]backup-simplify:  Simplify PI into PI
1550838869.762 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.762 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.762 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.762 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838869.763 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838869.763 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838869.764 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838869.764 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.764 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.764 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.764 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.764 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.764 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.764 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
1550838869.765 * [misc]backup-simplify:  Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1)))
1550838869.765 * [misc]approximate:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0
1550838869.765 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.765 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.765 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.765 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.765 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.765 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.765 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.765 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.765 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.765 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.765 * [misc]backup-simplify:  Simplify PI into PI
1550838869.766 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.766 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.766 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.767 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838869.767 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838869.767 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838869.767 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838869.767 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838869.767 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838869.767 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.767 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.767 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838869.767 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.767 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.767 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.767 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.767 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.767 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.768 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.768 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.768 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.768 * [misc]backup-simplify:  Simplify PI into PI
1550838869.768 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.768 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.768 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.769 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838869.769 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838869.769 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838869.770 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.770 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.770 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.770 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.770 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.770 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.770 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
1550838869.770 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
1550838869.770 * [misc]backup-simplify:  Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k)))
1550838869.770 * [misc]approximate:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0
1550838869.770 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k
1550838869.770 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k
1550838869.771 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k
1550838869.771 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.771 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.771 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.771 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.771 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.771 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.771 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.771 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.771 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.771 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838869.771 * [misc]taylor:  Taking taylor expansion of n in k
1550838869.771 * [misc]backup-simplify:  Simplify n into n
1550838869.771 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838869.771 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.771 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.771 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.771 * [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
1550838869.772 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
1550838869.772 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n
1550838869.772 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n
1550838869.772 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n
1550838869.772 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838869.772 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838869.772 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.772 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838869.772 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838869.772 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.772 * [misc]taylor:  Taking taylor expansion of k in n
1550838869.772 * [misc]backup-simplify:  Simplify k into k
1550838869.772 * [misc]taylor:  Taking taylor expansion of (log n) in n
1550838869.772 * [misc]taylor:  Taking taylor expansion of n in n
1550838869.772 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.772 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.772 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838869.772 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838869.772 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838869.772 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838869.773 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838869.773 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
1550838869.773 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
1550838869.773 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n
1550838869.773 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n
1550838869.773 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n
1550838869.773 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838869.773 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838869.773 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.773 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838869.773 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838869.773 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.773 * [misc]taylor:  Taking taylor expansion of k in n
1550838869.773 * [misc]backup-simplify:  Simplify k into k
1550838869.773 * [misc]taylor:  Taking taylor expansion of (log n) in n
1550838869.773 * [misc]taylor:  Taking taylor expansion of n in n
1550838869.773 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.773 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.773 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838869.774 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838869.774 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838869.774 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838869.774 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838869.774 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
1550838869.774 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
1550838869.774 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k
1550838869.774 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k
1550838869.774 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.774 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.774 * [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log n)) in k
1550838869.774 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.774 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.775 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.775 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.775 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.775 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.775 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838869.775 * [misc]taylor:  Taking taylor expansion of n in k
1550838869.775 * [misc]backup-simplify:  Simplify n into n
1550838869.775 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838869.775 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.775 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.775 * [misc]backup-simplify:  Simplify (* 1 (log n)) into (log n)
1550838869.775 * [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
1550838869.775 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
1550838869.775 * [misc]backup-simplify:  Simplify (pow n 1/2) into (pow n 1/2)
1550838869.778 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838869.779 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.779 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.779 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1550838869.779 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838869.779 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0
1550838869.781 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838869.781 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.781 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.781 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.782 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1550838869.782 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.782 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.782 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n))
1550838869.783 * [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n)))
1550838869.783 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
1550838869.783 * [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
1550838869.788 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838869.788 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.788 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.788 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1550838869.789 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838869.789 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
1550838869.791 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838869.791 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.791 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.791 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.792 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.793 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1550838869.793 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.794 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.794 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0
1550838869.794 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0
1550838869.795 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
1550838869.795 * [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
1550838869.796 * [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
1550838869.796 * [misc]backup-simplify:  Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k))))
1550838869.796 * [misc]approximate:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1550838869.796 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k
1550838869.796 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k
1550838869.796 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k
1550838869.796 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838869.796 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.797 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.797 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838869.797 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.797 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.797 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.797 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.797 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.797 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.797 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.797 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
1550838869.797 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
1550838869.797 * [misc]taylor:  Taking taylor expansion of n in k
1550838869.797 * [misc]backup-simplify:  Simplify n into n
1550838869.797 * [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
1550838869.797 * [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
1550838869.797 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.798 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.798 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838869.798 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
1550838869.798 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))))
1550838869.798 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838869.798 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.798 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838869.798 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.798 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of k in n
1550838869.798 * [misc]backup-simplify:  Simplify k into k
1550838869.798 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838869.798 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
1550838869.798 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1550838869.799 * [misc]taylor:  Taking taylor expansion of n in n
1550838869.799 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.799 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.799 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.799 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838869.799 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838869.799 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838869.799 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838869.799 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838869.800 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
1550838869.800 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838869.800 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838869.800 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.800 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838869.800 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.800 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of k in n
1550838869.800 * [misc]backup-simplify:  Simplify k into k
1550838869.800 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838869.800 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1550838869.800 * [misc]taylor:  Taking taylor expansion of n in n
1550838869.800 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.800 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.801 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.801 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838869.801 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838869.801 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838869.801 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838869.801 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838869.801 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
1550838869.802 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838869.802 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k
1550838869.802 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k
1550838869.802 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1550838869.802 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1550838869.802 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k
1550838869.802 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838869.802 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.802 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.802 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.802 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.802 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.802 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.802 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.802 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838869.802 * [misc]taylor:  Taking taylor expansion of n in k
1550838869.802 * [misc]backup-simplify:  Simplify n into n
1550838869.802 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838869.803 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.803 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.803 * [misc]backup-simplify:  Simplify (* -1 (log n)) into (* -1 (log n))
1550838869.803 * [misc]backup-simplify:  Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n))
1550838869.803 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838869.803 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838869.804 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838869.806 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838869.806 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838869.806 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.807 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.807 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1550838869.807 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838869.807 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
1550838869.808 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838869.809 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.809 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.809 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.809 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.809 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.814 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838869.814 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838869.814 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.814 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.815 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1550838869.815 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838869.815 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
1550838869.817 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838869.817 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.817 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.817 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.818 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.818 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.818 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.825 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1550838869.825 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838869.826 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.826 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.826 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1550838869.826 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838869.827 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
1550838869.830 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838869.830 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.830 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.830 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.831 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
1550838869.831 * [misc]backup-simplify:  Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1)))
1550838869.831 * [misc]approximate:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1550838869.831 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.831 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.831 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.831 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.831 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.831 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.831 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.831 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.831 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in k
1550838869.831 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in k
1550838869.832 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838869.832 * [misc]backup-simplify:  Simplify -1 into -1
1550838869.832 * [misc]taylor:  Taking taylor expansion of n in k
1550838869.832 * [misc]backup-simplify:  Simplify n into n
1550838869.832 * [misc]backup-simplify:  Simplify (/ -1 n) into (/ -1 n)
1550838869.832 * [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
1550838869.832 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.832 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.832 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
1550838869.832 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))))
1550838869.832 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n
1550838869.832 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n
1550838869.832 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n
1550838869.833 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838869.833 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838869.833 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.833 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838869.833 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838869.833 * [misc]taylor:  Taking taylor expansion of k in n
1550838869.833 * [misc]backup-simplify:  Simplify k into k
1550838869.833 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838869.833 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838869.833 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.833 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in n
1550838869.833 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in n
1550838869.833 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838869.833 * [misc]backup-simplify:  Simplify -1 into -1
1550838869.833 * [misc]taylor:  Taking taylor expansion of n in n
1550838869.833 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.833 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.833 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838869.833 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838869.833 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838869.834 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838869.834 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838869.834 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))
1550838869.835 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838869.835 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838869.835 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.835 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of k in n
1550838869.835 * [misc]backup-simplify:  Simplify k into k
1550838869.835 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838869.835 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838869.835 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.835 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in n
1550838869.835 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838869.835 * [misc]backup-simplify:  Simplify -1 into -1
1550838869.835 * [misc]taylor:  Taking taylor expansion of n in n
1550838869.835 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.835 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.835 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838869.836 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838869.836 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838869.836 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838869.836 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838869.836 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))
1550838869.837 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838869.837 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k
1550838869.837 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k
1550838869.837 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.837 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.837 * [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k
1550838869.837 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838869.837 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.837 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.837 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.837 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.837 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.837 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.837 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.837 * [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
1550838869.838 * [misc]taylor:  Taking taylor expansion of (log -1) in k
1550838869.838 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838869.838 * [misc]backup-simplify:  Simplify -1 into -1
1550838869.838 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838869.838 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838869.838 * [misc]taylor:  Taking taylor expansion of n in k
1550838869.838 * [misc]backup-simplify:  Simplify n into n
1550838869.838 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838869.838 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.838 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1550838869.838 * [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
1550838869.838 * [misc]backup-simplify:  Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n))
1550838869.839 * [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
1550838869.839 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838869.839 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838869.840 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838869.842 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
1550838869.842 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838869.842 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.842 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1550838869.843 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838869.843 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0
1550838869.844 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838869.844 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.844 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.844 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.844 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.845 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.851 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
1550838869.851 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838869.852 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.852 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1550838869.852 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838869.853 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
1550838869.855 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838869.855 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.855 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.855 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.855 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.855 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.855 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.862 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
1550838869.862 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838869.862 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.863 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1550838869.863 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838869.863 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
1550838869.867 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838869.867 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838869.867 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.867 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.867 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
1550838869.867 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 1)
1550838869.868 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1550838869.868 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1550838869.868 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838869.868 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.868 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.868 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.868 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.868 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.868 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.869 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838869.869 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838869.869 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.869 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.869 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.869 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.869 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.870 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.870 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838869.870 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.870 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.871 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838869.872 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838869.872 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.872 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.873 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838869.873 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.874 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838869.874 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1550838869.874 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1550838869.874 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838869.874 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.874 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.874 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.874 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.875 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838869.875 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838869.875 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.875 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.875 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.875 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.875 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838869.875 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.875 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.877 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838869.877 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.878 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838869.878 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.878 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838869.878 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1550838869.878 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1550838869.879 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838869.879 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838869.879 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838869.879 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838869.879 * [misc]backup-simplify:  Simplify -1 into -1
1550838869.879 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.879 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.879 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.879 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838869.879 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.880 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838869.880 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838869.880 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838869.880 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838869.880 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838869.880 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838869.880 * [misc]backup-simplify:  Simplify -1 into -1
1550838869.880 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.880 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.880 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.880 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838869.880 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.881 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838869.881 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838869.881 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838869.881 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838869.882 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838869.883 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838869.883 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838869.884 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.885 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838869.886 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838869.886 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838869.887 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838869.887 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1)
1550838869.887 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) into (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (sqrt (/ 1 k)))
1550838869.887 * [misc]approximate:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in (k) around 0
1550838869.887 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.887 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.887 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.887 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.887 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.887 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.887 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.888 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.888 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838869.888 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838869.888 * [misc]backup-simplify:  Simplify 2 into 2
1550838869.888 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838869.888 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.888 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.888 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.889 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838869.889 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
1550838869.889 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838869.889 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838869.889 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838869.889 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.889 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.889 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.889 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.889 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.889 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.889 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.890 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.890 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.890 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.890 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.890 * [misc]backup-simplify:  Simplify PI into PI
1550838869.890 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.890 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.890 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.891 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.891 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838869.892 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838869.892 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838869.892 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.892 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.892 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.892 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.892 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.892 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.893 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838869.893 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (sqrt (/ 1 k))) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.893 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.893 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.893 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.893 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.893 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.893 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.893 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838869.893 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838869.893 * [misc]backup-simplify:  Simplify 2 into 2
1550838869.894 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838869.894 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.894 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.894 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.895 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838869.895 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
1550838869.895 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838869.895 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838869.895 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838869.895 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838869.895 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838869.895 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838869.895 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838869.895 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838869.895 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.895 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.895 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.896 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.896 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838869.896 * [misc]taylor:  Taking taylor expansion of PI in k
1550838869.896 * [misc]backup-simplify:  Simplify PI into PI
1550838869.896 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838869.896 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.896 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838869.896 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838869.897 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838869.898 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838869.898 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838869.898 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838869.898 * [misc]taylor:  Taking taylor expansion of k in k
1550838869.898 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.898 * [misc]backup-simplify:  Simplify 1 into 1
1550838869.898 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838869.898 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838869.899 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838869.899 * [misc]backup-simplify:  Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2))
1550838869.901 * [misc]backup-simplify:  Simplify (* (sqrt (* PI 2)) 0) into 0
1550838869.901 * [misc]backup-simplify:  Simplify 0 into 0
1550838869.903 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1550838869.904 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.904 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.904 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838869.905 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1550838869.907 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1550838869.908 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1550838869.908 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838869.908 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838869.908 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838869.909 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2)))
1550838869.910 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2)))
1550838869.912 * [misc]backup-simplify:  Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))
1550838869.916 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI 2)) +nan.0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
1550838869.917 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI))))
1550838869.917 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838869.917 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838869.920 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1550838869.920 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.920 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.920 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838869.921 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1550838869.923 * [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)))
1550838869.926 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1550838869.926 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.926 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.926 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838869.926 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0
1550838869.928 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2)))
1550838869.933 * [misc]backup-simplify:  Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))
1550838869.949 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI 2)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) +nan.0) (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 0))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI))))))))
1550838869.956 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI))))))))
1550838869.956 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838869.957 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838869.965 * [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
1550838869.965 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.965 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.966 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
1550838869.968 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
1550838869.974 * [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)))
1550838869.981 * [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
1550838869.981 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838869.981 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838869.982 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0
1550838869.982 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log 2))))) into 0
1550838869.989 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 3) 6)) (* (/ (pow (- (* 1/2 (log 2))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log 2) 3) (sqrt 2)))
1550838869.999 * [misc]backup-simplify:  Simplify (+ (* (pow 2 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (pow (log 2) 3) (sqrt 2))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI)))))))
1550838870.019 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI 2)) +nan.0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) +nan.0) (+ (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (sqrt 2)) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (sqrt 2) (pow (log PI) 2))) (sqrt PI))) (* 1/16 (* (* (pow (log 2) 2) (* (sqrt 2) (log PI))) (sqrt PI))))))) 0)))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))))))))))))
1550838870.034 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))))))))))))
1550838870.065 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))))) k) (- (* +nan.0 (* (sqrt 2) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))))))))))
1550838870.065 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 k))) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) into (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (sqrt k))
1550838870.065 * [misc]approximate:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in (k) around 0
1550838870.065 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k
1550838870.065 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k
1550838870.065 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.066 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.066 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.066 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.066 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.066 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.066 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.066 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.066 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838870.066 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838870.066 * [misc]backup-simplify:  Simplify 2 into 2
1550838870.066 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838870.066 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838870.067 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838870.067 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838870.067 * [misc]backup-simplify:  Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
1550838870.067 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))
1550838870.067 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.068 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.068 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.068 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.068 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.068 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.068 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.068 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.068 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838870.068 * [misc]taylor:  Taking taylor expansion of PI in k
1550838870.068 * [misc]backup-simplify:  Simplify PI into PI
1550838870.068 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838870.069 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838870.069 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838870.069 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838870.069 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838870.069 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838870.069 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838870.069 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.069 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.069 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.069 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838870.070 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838870.070 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (sqrt k)) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.070 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.070 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.070 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.070 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.070 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.070 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.070 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.070 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838870.070 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838870.070 * [misc]backup-simplify:  Simplify 2 into 2
1550838870.070 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838870.070 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838870.070 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838870.070 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838870.071 * [misc]backup-simplify:  Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
1550838870.071 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))
1550838870.071 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.071 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.071 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.071 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.071 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.071 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.071 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.071 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.071 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838870.071 * [misc]taylor:  Taking taylor expansion of PI in k
1550838870.071 * [misc]backup-simplify:  Simplify PI into PI
1550838870.072 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838870.072 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838870.072 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838870.072 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838870.072 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838870.072 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838870.072 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838870.073 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.073 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.073 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.073 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838870.073 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838870.073 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))
1550838870.074 * [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) into 0
1550838870.074 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.074 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) into 0
1550838870.075 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))
1550838870.075 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))
1550838870.076 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838870.076 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))) into 0
1550838870.077 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))
1550838870.077 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))
1550838870.078 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838870.078 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))))) into 0
1550838870.079 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))
1550838870.079 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))))
1550838870.081 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k))))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))))))))
1550838870.081 * [misc]backup-simplify:  Simplify (* (/ 1 (sqrt (/ 1 (- k)))) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) into (/ (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k)))
1550838870.081 * [misc]approximate:  Taking taylor expansion of (/ (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in (k) around 0
1550838870.081 * [misc]taylor:  Taking taylor expansion of (/ (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.081 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.081 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.081 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.081 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.081 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.081 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.081 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.082 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.082 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838870.082 * [misc]backup-simplify:  Simplify 2 into 2
1550838870.082 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838870.082 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838870.082 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838870.082 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838870.082 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))
1550838870.082 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.082 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.082 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.082 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.082 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.082 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.083 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.083 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.083 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.083 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838870.083 * [misc]taylor:  Taking taylor expansion of PI in k
1550838870.083 * [misc]backup-simplify:  Simplify PI into PI
1550838870.083 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838870.083 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838870.083 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838870.083 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838870.084 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838870.084 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838870.084 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838870.084 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838870.084 * [misc]backup-simplify:  Simplify -1 into -1
1550838870.084 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.084 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.084 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.084 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838870.084 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838870.084 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838870.085 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))
1550838870.085 * [misc]backup-simplify:  Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))
1550838870.085 * [misc]taylor:  Taking taylor expansion of (/ (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ -1 k))) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.085 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.085 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.085 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.085 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.085 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.085 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.085 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.085 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838870.085 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838870.085 * [misc]backup-simplify:  Simplify 2 into 2
1550838870.085 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838870.086 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838870.086 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838870.086 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838870.086 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))
1550838870.086 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838870.086 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838870.086 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.086 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.086 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.086 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838870.086 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838870.086 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.086 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838870.086 * [misc]taylor:  Taking taylor expansion of PI in k
1550838870.086 * [misc]backup-simplify:  Simplify PI into PI
1550838870.087 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838870.087 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838870.087 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838870.087 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838870.087 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838870.087 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838870.087 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838870.087 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838870.087 * [misc]backup-simplify:  Simplify -1 into -1
1550838870.087 * [misc]taylor:  Taking taylor expansion of k in k
1550838870.087 * [misc]backup-simplify:  Simplify 0 into 0
1550838870.087 * [misc]backup-simplify:  Simplify 1 into 1
1550838870.087 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838870.088 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838870.088 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838870.088 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))
1550838870.089 * [misc]backup-simplify:  Simplify (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) +nan.0) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))
1550838870.089 * [misc]backup-simplify:  Simplify (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))
1550838870.089 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0
1550838870.090 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838870.092 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838870.092 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))
1550838870.093 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))
1550838870.093 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0
1550838870.093 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838870.094 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838870.095 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))
1550838870.096 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))) into (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))))
1550838870.097 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1))))))) (/ 1 (- k))) (* +nan.0 (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))))))))
1550838870.097 * * * [misc]progress:  simplifying candidates
1550838870.097 * * * * [misc]progress:  [ 1 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (exp (* (log PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838870.097 * * * * [misc]progress:  [ 2 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))>
1550838870.097 * [enter]simplify:  Simplifying (pow PI (/ k 2))
1550838870.097 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838870.099 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838870.101 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.102 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838870.102 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838870.102 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838870.102 * [exit]simplify:  Simplified to (pow PI (/ k 2))
1550838870.102 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838870.102 * * * * [misc]progress:  [ 3 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838870.102 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838870.102 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838870.104 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838870.109 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838870.114 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.115 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.115 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838870.115 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838870.115 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838870.115 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838870.115 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838870.115 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838870.115 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838870.115 * * * * [misc]progress:  [ 4 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838870.116 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838870.116 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838870.118 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838870.124 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838870.134 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.134 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.134 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838870.134 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838870.134 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838870.135 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838870.135 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838870.135 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838870.135 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838870.135 * * * * [misc]progress:  [ 5 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.136 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838870.136 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838870.140 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838870.148 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838870.157 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.157 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838870.157 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838870.157 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838870.158 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838870.158 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838870.158 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838870.158 * * * * [misc]progress:  [ 6 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) (/ 1 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.158 * [enter]simplify:  Simplifying (/ 1 2)
1550838870.159 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838870.162 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838870.166 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.166 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838870.166 * [exit]simplify:  Simplified to 1/2
1550838870.166 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) 1/2))) (pow n (/ (- 1 k) 2))))
1550838870.166 * * * * [misc]progress:  [ 7 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (- 1 k) 2)) 1))) (pow n (/ (- 1 k) 2))))>
1550838870.166 * * * * [misc]progress:  [ 8 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (exp (log (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.166 * * * * [misc]progress:  [ 9 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (log (exp (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.167 * * * * [misc]progress:  [ 10 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (cbrt (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.167 * * * * [misc]progress:  [ 11 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (cbrt (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.167 * * * * [misc]progress:  [ 12 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.167 * * * * [misc]progress:  [ 13 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (* 1 (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838870.167 * * * * [misc]progress:  [ 14 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (posit16->real (real->posit16 (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.167 * * * * [misc]progress:  [ 15 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (exp (* (log n) (/ (- 1 k) 2)))))>
1550838870.167 * * * * [misc]progress:  [ 16 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))>
1550838870.167 * [enter]simplify:  Simplifying (pow n (/ k 2))
1550838870.167 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838870.170 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838870.175 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.175 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838870.175 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838870.175 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838870.175 * [exit]simplify:  Simplified to (pow n (/ k 2))
1550838870.175 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
1550838870.175 * * * * [misc]progress:  [ 17 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
1550838870.176 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838870.176 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838870.180 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838870.189 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838870.199 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.199 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.199 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838870.199 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838870.199 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838870.199 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838870.200 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838870.200 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838870.200 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
1550838870.200 * * * * [misc]progress:  [ 18 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
1550838870.201 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838870.201 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838870.205 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838870.214 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838870.224 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.224 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.224 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838870.224 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838870.224 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838870.224 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838870.224 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838870.225 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838870.225 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
1550838870.225 * * * * [misc]progress:  [ 19 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n 1) (/ (- 1 k) 2))))>
1550838870.225 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838870.225 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838870.231 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838870.239 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838870.249 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.249 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838870.249 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838870.249 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838870.249 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838870.250 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838870.250 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n 1) (/ (- 1 k) 2))))
1550838870.250 * * * * [misc]progress:  [ 20 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (- 1 k)) (/ 1 2))))>
1550838870.250 * [enter]simplify:  Simplifying (/ 1 2)
1550838870.250 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838870.253 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838870.257 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.257 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838870.257 * [exit]simplify:  Simplified to 1/2
1550838870.257 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (- 1 k)) 1/2)))
1550838870.257 * * * * [misc]progress:  [ 21 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow (pow n (/ (- 1 k) 2)) 1)))>
1550838870.257 * * * * [misc]progress:  [ 22 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (exp (log (pow n (/ (- 1 k) 2))))))>
1550838870.257 * * * * [misc]progress:  [ 23 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (log (exp (pow n (/ (- 1 k) 2))))))>
1550838870.257 * * * * [misc]progress:  [ 24 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2))))))>
1550838870.258 * * * * [misc]progress:  [ 25 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (cbrt (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))))>
1550838870.258 * * * * [misc]progress:  [ 26 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))))>
1550838870.258 * * * * [misc]progress:  [ 27 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* 1 (pow n (/ (- 1 k) 2)))))>
1550838870.258 * * * * [misc]progress:  [ 28 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (posit16->real (real->posit16 (pow n (/ (- 1 k) 2))))))>
1550838870.258 * * * * [misc]progress:  [ 29 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) -1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.258 * * * * [misc]progress:  [ 30 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (pow k (- 1/2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.258 * [enter]simplify:  Simplifying (- 1/2)
1550838870.258 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838870.260 * * [misc]simplify:  iters left: 1 (7 enodes)
1550838870.262 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.262 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838870.262 * [exit]simplify:  Simplified to -1/2
1550838870.262 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (pow k -1/2) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838870.263 * * * * [misc]progress:  [ 31 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (sqrt k) (- 1)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.263 * [enter]simplify:  Simplifying (- 1)
1550838870.263 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838870.265 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838870.268 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.268 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838870.268 * [exit]simplify:  Simplified to -1
1550838870.268 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (pow (sqrt k) -1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838870.268 * * * * [misc]progress:  [ 32 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (/ 1 (sqrt k)) 1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.268 * * * * [misc]progress:  [ 33 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (- (log (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.268 * * * * [misc]progress:  [ 34 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (log (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.268 * * * * [misc]progress:  [ 35 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (log (exp (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 36 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 37 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 38 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 39 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (- 1) (- (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 40 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 41 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* 1 (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 42 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (/ (sqrt k) 1)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * * * * [misc]progress:  [ 43 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.269 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1550838870.269 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838870.271 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838870.273 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.273 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.273 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838870.273 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838870.273 * * [misc]simplify:  Extracting #4: cost 0 inf + 325
1550838870.273 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1550838870.273 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838870.274 * * * * [misc]progress:  [ 44 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.274 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1550838870.274 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838870.275 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838870.277 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.277 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.277 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838870.277 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838870.278 * * [misc]simplify:  Extracting #4: cost 0 inf + 245
1550838870.278 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1550838870.278 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838870.278 * * * * [misc]progress:  [ 45 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.278 * [enter]simplify:  Simplifying (sqrt k)
1550838870.278 * * [misc]simplify:  iters left: 1 (2 enodes)
1550838870.279 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.279 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838870.279 * * [misc]simplify:  Extracting #2: cost 2 inf + 1
1550838870.279 * * [misc]simplify:  Extracting #3: cost 0 inf + 83
1550838870.279 * [exit]simplify:  Simplified to (sqrt k)
1550838870.279 * [misc]simplify:  Simplified (2 1 1 2) to (λ (k n) (* (* (/ (/ 1 1) (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838870.279 * * * * [misc]progress:  [ 46 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (posit16->real (real->posit16 (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838870.279 * * * * [misc]progress:  [ 47 / 92 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 1) (pow n (/ (- 1 k) 2))))>
1550838870.280 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))
1550838870.280 * * [misc]simplify:  iters left: 6 (12 enodes)
1550838870.286 * * [misc]simplify:  iters left: 5 (50 enodes)
1550838870.295 * * [misc]simplify:  iters left: 4 (76 enodes)
1550838870.309 * * [misc]simplify:  iters left: 3 (112 enodes)
1550838870.331 * * [misc]simplify:  iters left: 2 (132 enodes)
1550838870.362 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.362 * * [misc]simplify:  Extracting #1: cost 13 inf + 0
1550838870.362 * * [misc]simplify:  Extracting #2: cost 26 inf + 1
1550838870.363 * * [misc]simplify:  Extracting #3: cost 27 inf + 4
1550838870.363 * * [misc]simplify:  Extracting #4: cost 24 inf + 253
1550838870.363 * * [misc]simplify:  Extracting #5: cost 13 inf + 2625
1550838870.364 * * [misc]simplify:  Extracting #6: cost 2 inf + 7415
1550838870.365 * * [misc]simplify:  Extracting #7: cost 0 inf + 8413
1550838870.366 * [exit]simplify:  Simplified to (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2)))
1550838870.366 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (pow (* (/ (pow 2 (/ (- 1 k) 2)) (sqrt k)) (pow PI (/ (- 1 k) 2))) 1) (pow n (/ (- 1 k) 2))))
1550838870.367 * * * * [misc]progress:  [ 48 / 92 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 1) (pow n (/ (- 1 k) 2))))>
1550838870.367 * * * * [misc]progress:  [ 49 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838870.367 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))
1550838870.367 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838870.371 * * [misc]simplify:  iters left: 5 (65 enodes)
1550838870.388 * * [misc]simplify:  iters left: 4 (113 enodes)
1550838870.412 * * [misc]simplify:  iters left: 3 (157 enodes)
1550838870.443 * * [misc]simplify:  iters left: 2 (293 enodes)
1550838870.544 * * [misc]simplify:  iters left: 1 (466 enodes)
1550838870.721 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838870.721 * * [misc]simplify:  Extracting #1: cost 48 inf + 0
1550838870.722 * * [misc]simplify:  Extracting #2: cost 161 inf + 0
1550838870.729 * * [misc]simplify:  Extracting #3: cost 186 inf + 1513
1550838870.734 * * [misc]simplify:  Extracting #4: cost 141 inf + 15240
1550838870.751 * * [misc]simplify:  Extracting #5: cost 25 inf + 48104
1550838870.772 * * [misc]simplify:  Extracting #6: cost 0 inf + 56802
1550838870.790 * * [misc]simplify:  Extracting #7: cost 0 inf + 56756
1550838870.811 * [exit]simplify:  Simplified to (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) (log (sqrt k)))
1550838870.811 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- (+ (log 2) (log PI)) (* k (+ (log 2) (log PI)))) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838870.811 * * * * [misc]progress:  [ 50 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838870.812 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))
1550838870.812 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838870.820 * * [misc]simplify:  iters left: 5 (62 enodes)
1550838870.840 * * [misc]simplify:  iters left: 4 (101 enodes)
1550838870.874 * * [misc]simplify:  iters left: 3 (140 enodes)
1550838870.906 * * [misc]simplify:  iters left: 2 (220 enodes)
1550838870.951 * * [misc]simplify:  iters left: 1 (322 enodes)
1550838871.017 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838871.017 * * [misc]simplify:  Extracting #1: cost 52 inf + 0
1550838871.018 * * [misc]simplify:  Extracting #2: cost 160 inf + 0
1550838871.019 * * [misc]simplify:  Extracting #3: cost 176 inf + 1127
1550838871.021 * * [misc]simplify:  Extracting #4: cost 124 inf + 13751
1550838871.035 * * [misc]simplify:  Extracting #5: cost 43 inf + 40556
1550838871.052 * * [misc]simplify:  Extracting #6: cost 4 inf + 51700
1550838871.069 * * [misc]simplify:  Extracting #7: cost 0 inf + 52749
1550838871.086 * [exit]simplify:  Simplified to (- (/ (+ (log PI) (log 2)) (/ 2 (- 1 k))) (log (sqrt k)))
1550838871.086 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (+ (log PI) (log 2)) (/ 2 (- 1 k))) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838871.086 * * * * [misc]progress:  [ 51 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838871.087 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))
1550838871.087 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838871.095 * * [misc]simplify:  iters left: 5 (62 enodes)
1550838871.114 * * [misc]simplify:  iters left: 4 (101 enodes)
1550838871.144 * * [misc]simplify:  iters left: 3 (140 enodes)
1550838871.190 * * [misc]simplify:  iters left: 2 (220 enodes)
1550838871.261 * * [misc]simplify:  iters left: 1 (322 enodes)
1550838871.361 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838871.361 * * [misc]simplify:  Extracting #1: cost 52 inf + 0
1550838871.362 * * [misc]simplify:  Extracting #2: cost 160 inf + 0
1550838871.363 * * [misc]simplify:  Extracting #3: cost 176 inf + 1570
1550838871.366 * * [misc]simplify:  Extracting #4: cost 146 inf + 9357
1550838871.374 * * [misc]simplify:  Extracting #5: cost 45 inf + 39681
1550838871.383 * * [misc]simplify:  Extracting #6: cost 3 inf + 51276
1550838871.396 * * [misc]simplify:  Extracting #7: cost 0 inf + 52620
1550838871.410 * * [misc]simplify:  Extracting #8: cost 0 inf + 52618
1550838871.423 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log 2))) (log (sqrt k)))
1550838871.423 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log 2))) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838871.423 * * * * [misc]progress:  [ 52 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838871.423 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))
1550838871.423 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838871.428 * * [misc]simplify:  iters left: 5 (61 enodes)
1550838871.438 * * [misc]simplify:  iters left: 4 (93 enodes)
1550838871.453 * * [misc]simplify:  iters left: 3 (124 enodes)
1550838871.478 * * [misc]simplify:  iters left: 2 (162 enodes)
1550838871.528 * * [misc]simplify:  iters left: 1 (254 enodes)
1550838871.618 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838871.619 * * [misc]simplify:  Extracting #1: cost 56 inf + 0
1550838871.619 * * [misc]simplify:  Extracting #2: cost 163 inf + 0
1550838871.621 * * [misc]simplify:  Extracting #3: cost 178 inf + 954
1550838871.626 * * [misc]simplify:  Extracting #4: cost 142 inf + 9236
1550838871.638 * * [misc]simplify:  Extracting #5: cost 30 inf + 44109
1550838871.656 * * [misc]simplify:  Extracting #6: cost 0 inf + 53279
1550838871.675 * * [misc]simplify:  Extracting #7: cost 0 inf + 53060
1550838871.693 * * [misc]simplify:  Extracting #8: cost 0 inf + 53058
1550838871.711 * [exit]simplify:  Simplified to (- (/ (* (+ (log 2) (log PI)) (- 1 k)) 2) (log (sqrt k)))
1550838871.711 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (* (+ (log 2) (log PI)) (- 1 k)) 2) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838871.711 * * * * [misc]progress:  [ 53 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (- (log (sqrt k))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838871.712 * [enter]simplify:  Simplifying (+ (- (log (sqrt k))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))
1550838871.712 * * [misc]simplify:  iters left: 6 (14 enodes)
1550838871.719 * * [misc]simplify:  iters left: 5 (55 enodes)
1550838871.734 * * [misc]simplify:  iters left: 4 (78 enodes)
1550838871.753 * * [misc]simplify:  iters left: 3 (106 enodes)
1550838871.770 * * [misc]simplify:  iters left: 2 (129 enodes)
1550838871.789 * * [misc]simplify:  iters left: 1 (167 enodes)
1550838871.824 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838871.824 * * [misc]simplify:  Extracting #1: cost 13 inf + 0
1550838871.824 * * [misc]simplify:  Extracting #2: cost 64 inf + 0
1550838871.825 * * [misc]simplify:  Extracting #3: cost 89 inf + 3
1550838871.825 * * [misc]simplify:  Extracting #4: cost 89 inf + 482
1550838871.827 * * [misc]simplify:  Extracting #5: cost 51 inf + 6273
1550838871.831 * * [misc]simplify:  Extracting #6: cost 6 inf + 18232
1550838871.836 * * [misc]simplify:  Extracting #7: cost 0 inf + 19523
1550838871.842 * [exit]simplify:  Simplified to (- (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
1550838871.842 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838871.842 * * * * [misc]progress:  [ 54 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838871.843 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))
1550838871.843 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838871.852 * * [misc]simplify:  iters left: 5 (69 enodes)
1550838871.871 * * [misc]simplify:  iters left: 4 (119 enodes)
1550838871.891 * * [misc]simplify:  iters left: 3 (175 enodes)
1550838871.942 * * [misc]simplify:  iters left: 2 (333 enodes)
1550838872.063 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838872.064 * * [misc]simplify:  Extracting #1: cost 23 inf + 0
1550838872.064 * * [misc]simplify:  Extracting #2: cost 89 inf + 1
1550838872.068 * * [misc]simplify:  Extracting #3: cost 124 inf + 77
1550838872.070 * * [misc]simplify:  Extracting #4: cost 109 inf + 4087
1550838872.078 * * [misc]simplify:  Extracting #5: cost 18 inf + 25162
1550838872.086 * * [misc]simplify:  Extracting #6: cost 0 inf + 30085
1550838872.092 * * [misc]simplify:  Extracting #7: cost 0 inf + 30042
1550838872.099 * [exit]simplify:  Simplified to (- (* (/ (- 1 k) 2) (+ (log 2) (log PI))) (log (sqrt k)))
1550838872.099 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (* (/ (- 1 k) 2) (+ (log 2) (log PI))) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838872.099 * * * * [misc]progress:  [ 55 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838872.099 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))
1550838872.099 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838872.105 * * [misc]simplify:  iters left: 5 (66 enodes)
1550838872.121 * * [misc]simplify:  iters left: 4 (107 enodes)
1550838872.155 * * [misc]simplify:  iters left: 3 (158 enodes)
1550838872.187 * * [misc]simplify:  iters left: 2 (260 enodes)
1550838872.280 * * [misc]simplify:  iters left: 1 (466 enodes)
1550838872.474 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838872.474 * * [misc]simplify:  Extracting #1: cost 51 inf + 0
1550838872.475 * * [misc]simplify:  Extracting #2: cost 193 inf + 1
1550838872.476 * * [misc]simplify:  Extracting #3: cost 216 inf + 2888
1550838872.480 * * [misc]simplify:  Extracting #4: cost 149 inf + 19693
1550838872.498 * * [misc]simplify:  Extracting #5: cost 45 inf + 51971
1550838872.523 * * [misc]simplify:  Extracting #6: cost 1 inf + 63510
1550838872.548 * * [misc]simplify:  Extracting #7: cost 0 inf + 62976
1550838872.573 * [exit]simplify:  Simplified to (- (/ (- 1 k) (/ 2 (+ (log PI) (log 2)))) (log (sqrt k)))
1550838872.573 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- 1 k) (/ 2 (+ (log PI) (log 2)))) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838872.574 * * * * [misc]progress:  [ 56 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838872.574 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))
1550838872.574 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838872.583 * * [misc]simplify:  iters left: 5 (66 enodes)
1550838872.606 * * [misc]simplify:  iters left: 4 (107 enodes)
1550838872.624 * * [misc]simplify:  iters left: 3 (158 enodes)
1550838872.649 * * [misc]simplify:  iters left: 2 (260 enodes)
1550838872.709 * * [misc]simplify:  iters left: 1 (466 enodes)
1550838872.917 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838872.918 * * [misc]simplify:  Extracting #1: cost 51 inf + 0
1550838872.919 * * [misc]simplify:  Extracting #2: cost 193 inf + 1
1550838872.921 * * [misc]simplify:  Extracting #3: cost 224 inf + 2254
1550838872.928 * * [misc]simplify:  Extracting #4: cost 159 inf + 16046
1550838872.944 * * [misc]simplify:  Extracting #5: cost 20 inf + 57020
1550838872.960 * * [misc]simplify:  Extracting #6: cost 0 inf + 63018
1550838872.977 * * [misc]simplify:  Extracting #7: cost 0 inf + 62897
1550838872.997 * [exit]simplify:  Simplified to (- (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
1550838872.997 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838872.997 * * * * [misc]progress:  [ 57 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838872.997 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))
1550838872.998 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838873.003 * * [misc]simplify:  iters left: 5 (65 enodes)
1550838873.013 * * [misc]simplify:  iters left: 4 (99 enodes)
1550838873.036 * * [misc]simplify:  iters left: 3 (142 enodes)
1550838873.076 * * [misc]simplify:  iters left: 2 (202 enodes)
1550838873.133 * * [misc]simplify:  iters left: 1 (391 enodes)
1550838873.275 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838873.275 * * [misc]simplify:  Extracting #1: cost 55 inf + 0
1550838873.276 * * [misc]simplify:  Extracting #2: cost 181 inf + 1
1550838873.277 * * [misc]simplify:  Extracting #3: cost 219 inf + 780
1550838873.279 * * [misc]simplify:  Extracting #4: cost 180 inf + 8541
1550838873.288 * * [misc]simplify:  Extracting #5: cost 74 inf + 37175
1550838873.310 * * [misc]simplify:  Extracting #6: cost 3 inf + 58583
1550838873.323 * * [misc]simplify:  Extracting #7: cost 0 inf + 59514
1550838873.336 * * [misc]simplify:  Extracting #8: cost 0 inf + 59494
1550838873.365 * * [misc]simplify:  Extracting #9: cost 0 inf + 59492
1550838873.384 * [exit]simplify:  Simplified to (- (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))
1550838873.384 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (* (+ (log 2) (log PI)) (/ (- 1 k) 2)) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838873.384 * * * * [misc]progress:  [ 58 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (+ (log (/ 1 (sqrt k))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838873.384 * [enter]simplify:  Simplifying (+ (log (/ 1 (sqrt k))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))
1550838873.384 * * [misc]simplify:  iters left: 6 (14 enodes)
1550838873.389 * * [misc]simplify:  iters left: 5 (59 enodes)
1550838873.398 * * [misc]simplify:  iters left: 4 (84 enodes)
1550838873.413 * * [misc]simplify:  iters left: 3 (119 enodes)
1550838873.449 * * [misc]simplify:  iters left: 2 (163 enodes)
1550838873.488 * * [misc]simplify:  iters left: 1 (280 enodes)
1550838873.559 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838873.559 * * [misc]simplify:  Extracting #1: cost 27 inf + 0
1550838873.559 * * [misc]simplify:  Extracting #2: cost 104 inf + 1
1550838873.559 * * [misc]simplify:  Extracting #3: cost 133 inf + 932
1550838873.560 * * [misc]simplify:  Extracting #4: cost 109 inf + 5701
1550838873.563 * * [misc]simplify:  Extracting #5: cost 42 inf + 23057
1550838873.569 * * [misc]simplify:  Extracting #6: cost 9 inf + 30074
1550838873.575 * * [misc]simplify:  Extracting #7: cost 0 inf + 33128
1550838873.581 * [exit]simplify:  Simplified to (- (/ (- 1 k) (/ 2 (+ (log 2) (log PI)))) (log (sqrt k)))
1550838873.581 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (exp (- (/ (- 1 k) (/ 2 (+ (log 2) (log PI)))) (log (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838873.581 * * * * [misc]progress:  [ 59 / 92 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838873.581 * * * * [misc]progress:  [ 60 / 92 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838873.581 * * * * [misc]progress:  [ 61 / 92 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838873.581 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))
1550838873.581 * * [misc]simplify:  iters left: 6 (18 enodes)
1550838873.587 * * [misc]simplify:  iters left: 5 (81 enodes)
1550838873.605 * * [misc]simplify:  iters left: 4 (175 enodes)
1550838873.659 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838873.659 * * [misc]simplify:  Extracting #1: cost 37 inf + 0
1550838873.660 * * [misc]simplify:  Extracting #2: cost 126 inf + 1
1550838873.661 * * [misc]simplify:  Extracting #3: cost 135 inf + 4
1550838873.662 * * [misc]simplify:  Extracting #4: cost 128 inf + 832
1550838873.665 * * [misc]simplify:  Extracting #5: cost 92 inf + 13403
1550838873.681 * * [misc]simplify:  Extracting #6: cost 21 inf + 57529
1550838873.708 * * [misc]simplify:  Extracting #7: cost 0 inf + 73186
1550838873.726 * * [misc]simplify:  Extracting #8: cost 0 inf + 73145
1550838873.745 * [exit]simplify:  Simplified to (* (* (* (* (* (/ 1 (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (pow 2 (- 1/2 (/ k 2)))) (* (/ 1 (sqrt k)) (/ 1 (sqrt k))))
1550838873.745 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (cbrt (* (* (* (* (* (/ 1 (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))) (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (pow 2 (- 1/2 (/ k 2)))) (* (/ 1 (sqrt k)) (/ 1 (sqrt k))))) (pow n (/ (- 1 k) 2))))
1550838873.745 * * * * [misc]progress:  [ 62 / 92 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838873.746 * [enter]simplify:  Simplifying (* (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))
1550838873.746 * * [misc]simplify:  iters left: 6 (16 enodes)
1550838873.758 * * [misc]simplify:  iters left: 5 (76 enodes)
1550838873.785 * * [misc]simplify:  iters left: 4 (165 enodes)
1550838873.856 * * [misc]simplify:  iters left: 3 (448 enodes)
1550838874.273 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.273 * * [misc]simplify:  Extracting #1: cost 63 inf + 0
1550838874.274 * * [misc]simplify:  Extracting #2: cost 207 inf + 2
1550838874.276 * * [misc]simplify:  Extracting #3: cost 200 inf + 659
1550838874.280 * * [misc]simplify:  Extracting #4: cost 134 inf + 33259
1550838874.314 * * [misc]simplify:  Extracting #5: cost 15 inf + 104095
1550838874.343 * * [misc]simplify:  Extracting #6: cost 0 inf + 112875
1550838874.374 * [exit]simplify:  Simplified to (/ (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (* k (sqrt k)))
1550838874.374 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (cbrt (/ (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (* k (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838874.375 * * * * [misc]progress:  [ 63 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (cbrt (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838874.375 * * * * [misc]progress:  [ 64 / 92 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838874.375 * * * * [misc]progress:  [ 65 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838874.375 * * * * [misc]progress:  [ 66 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (sqrt k) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))>
1550838874.375 * [enter]simplify:  Simplifying (* 1 (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))
1550838874.375 * * [misc]simplify:  iters left: 6 (8 enodes)
1550838874.381 * * [misc]simplify:  iters left: 5 (29 enodes)
1550838874.391 * * [misc]simplify:  iters left: 4 (41 enodes)
1550838874.403 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.403 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838874.403 * * [misc]simplify:  Extracting #2: cost 9 inf + 1
1550838874.403 * * [misc]simplify:  Extracting #3: cost 5 inf + 45
1550838874.403 * * [misc]simplify:  Extracting #4: cost 2 inf + 249
1550838874.403 * * [misc]simplify:  Extracting #5: cost 0 inf + 412
1550838874.404 * [exit]simplify:  Simplified to (* (sqrt 2) (sqrt PI))
1550838874.404 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (sqrt k) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838874.404 * [enter]simplify:  Simplifying (* (sqrt k) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))
1550838874.404 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838874.408 * * [misc]simplify:  iters left: 5 (31 enodes)
1550838874.417 * * [misc]simplify:  iters left: 4 (39 enodes)
1550838874.428 * * [misc]simplify:  iters left: 3 (44 enodes)
1550838874.441 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.441 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838874.441 * * [misc]simplify:  Extracting #2: cost 18 inf + 0
1550838874.441 * * [misc]simplify:  Extracting #3: cost 16 inf + 3
1550838874.441 * * [misc]simplify:  Extracting #4: cost 12 inf + 169
1550838874.442 * * [misc]simplify:  Extracting #5: cost 6 inf + 2174
1550838874.442 * * [misc]simplify:  Extracting #6: cost 0 inf + 4681
1550838874.443 * [exit]simplify:  Simplified to (* (sqrt k) (* (pow PI (/ k 2)) (pow 2 (/ k 2))))
1550838874.443 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (sqrt 2) (sqrt PI)) (* (sqrt k) (* (pow PI (/ k 2)) (pow 2 (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838874.444 * * * * [misc]progress:  [ 67 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (* (sqrt k) (pow PI (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838874.444 * [enter]simplify:  Simplifying (* 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))
1550838874.444 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838874.450 * * [misc]simplify:  iters left: 5 (42 enodes)
1550838874.463 * * [misc]simplify:  iters left: 4 (58 enodes)
1550838874.474 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.474 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838874.474 * * [misc]simplify:  Extracting #2: cost 10 inf + 1
1550838874.474 * * [misc]simplify:  Extracting #3: cost 9 inf + 45
1550838874.474 * * [misc]simplify:  Extracting #4: cost 12 inf + 86
1550838874.474 * * [misc]simplify:  Extracting #5: cost 9 inf + 213
1550838874.474 * * [misc]simplify:  Extracting #6: cost 3 inf + 796
1550838874.474 * * [misc]simplify:  Extracting #7: cost 0 inf + 1837
1550838874.475 * [exit]simplify:  Simplified to (* (sqrt PI) (pow 2 (- 1/2 (/ k 2))))
1550838874.475 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (* (sqrt PI) (pow 2 (- 1/2 (/ k 2)))) (* (sqrt k) (pow PI (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838874.475 * [enter]simplify:  Simplifying (* (sqrt k) (pow PI (/ k 2)))
1550838874.475 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838874.477 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838874.480 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.480 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838874.480 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838874.480 * * [misc]simplify:  Extracting #3: cost 9 inf + 2
1550838874.480 * * [misc]simplify:  Extracting #4: cost 1 inf + 1008
1550838874.480 * * [misc]simplify:  Extracting #5: cost 0 inf + 1341
1550838874.480 * [exit]simplify:  Simplified to (* (pow PI (/ k 2)) (sqrt k))
1550838874.480 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (sqrt PI) (pow 2 (- 1/2 (/ k 2)))) (* (pow PI (/ k 2)) (sqrt k))) (pow n (/ (- 1 k) 2))))
1550838874.481 * * * * [misc]progress:  [ 68 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (* (sqrt k) (pow 2 (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838874.481 * [enter]simplify:  Simplifying (* 1 (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))
1550838874.481 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838874.484 * * [misc]simplify:  iters left: 5 (42 enodes)
1550838874.495 * * [misc]simplify:  iters left: 4 (58 enodes)
1550838874.511 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.511 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838874.511 * * [misc]simplify:  Extracting #2: cost 10 inf + 1
1550838874.511 * * [misc]simplify:  Extracting #3: cost 8 inf + 86
1550838874.511 * * [misc]simplify:  Extracting #4: cost 12 inf + 86
1550838874.511 * * [misc]simplify:  Extracting #5: cost 10 inf + 171
1550838874.512 * * [misc]simplify:  Extracting #6: cost 5 inf + 420
1550838874.512 * * [misc]simplify:  Extracting #7: cost 0 inf + 1839
1550838874.513 * [exit]simplify:  Simplified to (* (pow PI (- 1/2 (/ k 2))) (sqrt 2))
1550838874.513 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (* (pow PI (- 1/2 (/ k 2))) (sqrt 2)) (* (sqrt k) (pow 2 (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838874.514 * [enter]simplify:  Simplifying (* (sqrt k) (pow 2 (/ k 2)))
1550838874.514 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838874.517 * * [misc]simplify:  iters left: 4 (19 enodes)
1550838874.523 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.523 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838874.523 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838874.523 * * [misc]simplify:  Extracting #3: cost 8 inf + 2
1550838874.523 * * [misc]simplify:  Extracting #4: cost 0 inf + 1336
1550838874.523 * [exit]simplify:  Simplified to (* (sqrt k) (pow 2 (/ k 2)))
1550838874.523 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (pow PI (- 1/2 (/ k 2))) (sqrt 2)) (* (sqrt k) (pow 2 (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838874.524 * * * * [misc]progress:  [ 69 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838874.524 * * * * [misc]progress:  [ 70 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))>
1550838874.524 * [enter]simplify:  Simplifying (pow PI (/ (- 1 k) 2))
1550838874.524 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838874.528 * * [misc]simplify:  iters left: 4 (29 enodes)
1550838874.538 * * [misc]simplify:  iters left: 3 (38 enodes)
1550838874.549 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.549 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838874.549 * * [misc]simplify:  Extracting #2: cost 8 inf + 1
1550838874.549 * * [misc]simplify:  Extracting #3: cost 11 inf + 3
1550838874.550 * * [misc]simplify:  Extracting #4: cost 4 inf + 338
1550838874.550 * * [misc]simplify:  Extracting #5: cost 0 inf + 1009
1550838874.550 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1550838874.550 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (* (/ 1 (sqrt k)) (pow 2 (/ (- 1 k) 2))) (pow PI (- 1/2 (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838874.551 * * * * [misc]progress:  [ 71 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838874.551 * [enter]simplify:  Simplifying (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1550838874.551 * * [misc]simplify:  iters left: 6 (6 enodes)
1550838874.554 * * [misc]simplify:  iters left: 5 (20 enodes)
1550838874.561 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838874.568 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.568 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838874.568 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838874.568 * * [misc]simplify:  Extracting #3: cost 8 inf + 0
1550838874.569 * * [misc]simplify:  Extracting #4: cost 9 inf + 1
1550838874.569 * * [misc]simplify:  Extracting #5: cost 8 inf + 2
1550838874.569 * * [misc]simplify:  Extracting #6: cost 1 inf + 774
1550838874.569 * * [misc]simplify:  Extracting #7: cost 0 inf + 976
1550838874.569 * [exit]simplify:  Simplified to (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))
1550838874.569 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (* (cbrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838874.570 * * * * [misc]progress:  [ 72 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838874.570 * [enter]simplify:  Simplifying (sqrt (/ 1 (sqrt k)))
1550838874.570 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838874.573 * * [misc]simplify:  iters left: 3 (17 enodes)
1550838874.580 * * [misc]simplify:  iters left: 2 (19 enodes)
1550838874.586 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.586 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838874.586 * * [misc]simplify:  Extracting #2: cost 6 inf + 0
1550838874.586 * * [misc]simplify:  Extracting #3: cost 7 inf + 1
1550838874.586 * * [misc]simplify:  Extracting #4: cost 0 inf + 492
1550838874.586 * [exit]simplify:  Simplified to (sqrt (/ 1 (sqrt k)))
1550838874.586 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838874.586 * * * * [misc]progress:  [ 73 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838874.587 * * * * [misc]progress:  [ 74 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838874.587 * * * * [misc]progress:  [ 75 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (/ 1 (sqrt k)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838874.587 * [enter]simplify:  Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2)))
1550838874.587 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838874.591 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838874.597 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.597 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838874.597 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838874.597 * * [misc]simplify:  Extracting #3: cost 9 inf + 2
1550838874.597 * * [misc]simplify:  Extracting #4: cost 8 inf + 3
1550838874.598 * * [misc]simplify:  Extracting #5: cost 1 inf + 1600
1550838874.598 * * [misc]simplify:  Extracting #6: cost 0 inf + 2103
1550838874.598 * [exit]simplify:  Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2)))
1550838874.598 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838874.599 * * * * [misc]progress:  [ 76 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2))) (pow n (/ (- 1 k) 2))))>
1550838874.599 * [enter]simplify:  Simplifying (pow PI (/ k 2))
1550838874.599 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838874.602 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838874.606 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.606 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838874.606 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838874.606 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838874.606 * [exit]simplify:  Simplified to (pow PI (/ k 2))
1550838874.606 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2))) (pow n (/ (- 1 k) 2))))
1550838874.607 * * * * [misc]progress:  [ 77 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (/ 1 (sqrt k)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2))) (pow n (/ (- 1 k) 2))))>
1550838874.607 * [enter]simplify:  Simplifying (pow 2 (/ k 2))
1550838874.607 * * [misc]simplify:  iters left: 3 (4 enodes)
1550838874.609 * * [misc]simplify:  iters left: 2 (12 enodes)
1550838874.613 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.614 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838874.614 * * [misc]simplify:  Extracting #2: cost 5 inf + 1
1550838874.614 * * [misc]simplify:  Extracting #3: cost 4 inf + 2
1550838874.614 * * [misc]simplify:  Extracting #4: cost 0 inf + 590
1550838874.614 * [exit]simplify:  Simplified to (pow 2 (/ k 2))
1550838874.614 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (/ (* (/ 1 (sqrt k)) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2))) (pow n (/ (- 1 k) 2))))
1550838874.614 * * * * [misc]progress:  [ 78 / 92 ] simplifiying candidate #<alt (λ (k n) (* (/ (* 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt k)) (pow n (/ (- 1 k) 2))))>
1550838874.615 * [enter]simplify:  Simplifying (* 1 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))
1550838874.615 * * [misc]simplify:  iters left: 6 (10 enodes)
1550838874.621 * * [misc]simplify:  iters left: 5 (40 enodes)
1550838874.634 * * [misc]simplify:  iters left: 4 (57 enodes)
1550838874.649 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.650 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838874.650 * * [misc]simplify:  Extracting #2: cost 9 inf + 1
1550838874.650 * * [misc]simplify:  Extracting #3: cost 11 inf + 3
1550838874.650 * * [misc]simplify:  Extracting #4: cost 14 inf + 4
1550838874.650 * * [misc]simplify:  Extracting #5: cost 12 inf + 89
1550838874.650 * * [misc]simplify:  Extracting #6: cost 3 inf + 1552
1550838874.651 * * [misc]simplify:  Extracting #7: cost 0 inf + 2683
1550838874.652 * [exit]simplify:  Simplified to (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))
1550838874.652 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (/ (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (sqrt k)) (pow n (/ (- 1 k) 2))))
1550838874.652 * * * * [misc]progress:  [ 79 / 92 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838874.652 * * * * [misc]progress:  [ 80 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (/ 1 (sqrt k))) (pow n (/ (- 1 k) 2))))>
1550838874.652 * * * * [misc]progress:  [ 81 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 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)))))) (pow n (/ (- 1 k) 2))))>
1550838874.652 * [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))))
1550838874.653 * * [misc]simplify:  iters left: 6 (18 enodes)
1550838874.662 * * [misc]simplify:  iters left: 5 (73 enodes)
1550838874.687 * * [misc]simplify:  iters left: 4 (150 enodes)
1550838874.747 * * [misc]simplify:  iters left: 3 (376 enodes)
1550838874.923 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838874.924 * * [misc]simplify:  Extracting #1: cost 11 inf + 0
1550838874.924 * * [misc]simplify:  Extracting #2: cost 116 inf + 0
1550838874.926 * * [misc]simplify:  Extracting #3: cost 170 inf + 1013
1550838874.933 * * [misc]simplify:  Extracting #4: cost 73 inf + 17952
1550838874.951 * * [misc]simplify:  Extracting #5: cost 0 inf + 33943
1550838874.961 * * [misc]simplify:  Extracting #6: cost 0 inf + 33104
1550838874.969 * * [misc]simplify:  Extracting #7: cost 0 inf + 33023
1550838874.977 * * [misc]simplify:  Extracting #8: cost 0 inf + 33022
1550838874.986 * [exit]simplify:  Simplified to (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI))
1550838874.986 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI)))) (pow n (/ (- 1 k) 2))))
1550838874.986 * * * * [misc]progress:  [ 82 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow n (/ (- 1 k) 2))))>
1550838874.987 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log PI))))
1550838874.987 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838874.993 * * [misc]simplify:  iters left: 5 (37 enodes)
1550838875.006 * * [misc]simplify:  iters left: 4 (68 enodes)
1550838875.028 * * [misc]simplify:  iters left: 3 (125 enodes)
1550838875.070 * * [misc]simplify:  iters left: 2 (255 enodes)
1550838875.152 * * [misc]simplify:  iters left: 1 (409 enodes)
1550838875.260 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838875.260 * * [misc]simplify:  Extracting #1: cost 24 inf + 0
1550838875.261 * * [misc]simplify:  Extracting #2: cost 59 inf + 186
1550838875.262 * * [misc]simplify:  Extracting #3: cost 47 inf + 5020
1550838875.267 * * [misc]simplify:  Extracting #4: cost 3 inf + 10267
1550838875.275 * * [misc]simplify:  Extracting #5: cost 0 inf + 10008
1550838875.278 * * [misc]simplify:  Extracting #6: cost 0 inf + 9811
1550838875.281 * * [misc]simplify:  Extracting #7: cost 0 inf + 9772
1550838875.283 * [exit]simplify:  Simplified to (sqrt (exp (- (log PI) (* k (log PI)))))
1550838875.283 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (sqrt (exp (- (log PI) (* k (log PI))))))) (pow n (/ (- 1 k) 2))))
1550838875.283 * * * * [misc]progress:  [ 83 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (exp (* 1/2 (* (- 1 k) (log PI)))))) (pow n (/ (- 1 k) 2))))>
1550838875.284 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log PI))))
1550838875.284 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838875.287 * * [misc]simplify:  iters left: 5 (37 enodes)
1550838875.294 * * [misc]simplify:  iters left: 4 (68 enodes)
1550838875.308 * * [misc]simplify:  iters left: 3 (125 enodes)
1550838875.341 * * [misc]simplify:  iters left: 2 (255 enodes)
1550838875.413 * * [misc]simplify:  iters left: 1 (409 enodes)
1550838875.503 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838875.503 * * [misc]simplify:  Extracting #1: cost 24 inf + 0
1550838875.503 * * [misc]simplify:  Extracting #2: cost 59 inf + 186
1550838875.504 * * [misc]simplify:  Extracting #3: cost 47 inf + 5020
1550838875.507 * * [misc]simplify:  Extracting #4: cost 3 inf + 10267
1550838875.509 * * [misc]simplify:  Extracting #5: cost 0 inf + 10008
1550838875.512 * * [misc]simplify:  Extracting #6: cost 0 inf + 9811
1550838875.514 * * [misc]simplify:  Extracting #7: cost 0 inf + 9772
1550838875.517 * [exit]simplify:  Simplified to (sqrt (exp (- (log PI) (* k (log PI)))))
1550838875.517 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (sqrt (exp (- (log PI) (* k (log PI))))))) (pow n (/ (- 1 k) 2))))
1550838875.517 * * * * [misc]progress:  [ 84 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))))>
1550838875.517 * [enter]simplify:  Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
1550838875.517 * * [misc]simplify:  iters left: 6 (18 enodes)
1550838875.523 * * [misc]simplify:  iters left: 5 (73 enodes)
1550838875.546 * * [misc]simplify:  iters left: 4 (159 enodes)
1550838875.594 * * [misc]simplify:  iters left: 3 (399 enodes)
1550838875.706 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838875.706 * * [misc]simplify:  Extracting #1: cost 13 inf + 0
1550838875.706 * * [misc]simplify:  Extracting #2: cost 104 inf + 0
1550838875.707 * * [misc]simplify:  Extracting #3: cost 163 inf + 982
1550838875.710 * * [misc]simplify:  Extracting #4: cost 51 inf + 20937
1550838875.717 * * [misc]simplify:  Extracting #5: cost 3 inf + 30644
1550838875.724 * * [misc]simplify:  Extracting #6: cost 0 inf + 31349
1550838875.732 * [exit]simplify:  Simplified to (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))
1550838875.732 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))
1550838875.732 * * * * [misc]progress:  [ 85 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))))>
1550838875.732 * [enter]simplify:  Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
1550838875.732 * * [misc]simplify:  iters left: 6 (10 enodes)
1550838875.737 * * [misc]simplify:  iters left: 5 (44 enodes)
1550838875.750 * * [misc]simplify:  iters left: 4 (83 enodes)
1550838875.775 * * [misc]simplify:  iters left: 3 (182 enodes)
1550838875.834 * * [misc]simplify:  iters left: 2 (428 enodes)
1550838875.986 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838875.986 * * [misc]simplify:  Extracting #1: cost 39 inf + 0
1550838875.987 * * [misc]simplify:  Extracting #2: cost 130 inf + 47
1550838875.989 * * [misc]simplify:  Extracting #3: cost 111 inf + 6231
1550838875.992 * * [misc]simplify:  Extracting #4: cost 11 inf + 20877
1550838875.997 * * [misc]simplify:  Extracting #5: cost 0 inf + 22202
1550838876.002 * * [misc]simplify:  Extracting #6: cost 0 inf + 22171
1550838876.007 * [exit]simplify:  Simplified to (exp (* (- (* (log n) k) (log n)) -1/2))
1550838876.007 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (exp (* (- (* (log n) k) (log n)) -1/2))))
1550838876.007 * * * * [misc]progress:  [ 86 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))))>
1550838876.007 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
1550838876.007 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838876.011 * * [misc]simplify:  iters left: 5 (53 enodes)
1550838876.021 * * [misc]simplify:  iters left: 4 (105 enodes)
1550838876.046 * * [misc]simplify:  iters left: 3 (282 enodes)
1550838876.154 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838876.154 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838876.154 * * [misc]simplify:  Extracting #2: cost 101 inf + 1
1550838876.155 * * [misc]simplify:  Extracting #3: cost 143 inf + 2238
1550838876.157 * * [misc]simplify:  Extracting #4: cost 54 inf + 17429
1550838876.162 * * [misc]simplify:  Extracting #5: cost 5 inf + 28903
1550838876.168 * * [misc]simplify:  Extracting #6: cost 0 inf + 28958
1550838876.174 * [exit]simplify:  Simplified to (sqrt (exp (- (log n) (* k (log n)))))
1550838876.174 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (exp (- (log n) (* k (log n)))))))
1550838876.174 * * * * [misc]progress:  [ 87 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838876.174 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838876.174 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838876.174 * * * * [misc]progress:  [ 88 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838876.174 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838876.174 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838876.175 * * * * [misc]progress:  [ 89 / 92 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838876.175 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838876.175 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (* (* +nan.0 (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))
1550838876.175 * * * * [misc]progress:  [ 90 / 92 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI)))))))))))))))))))))) (pow n (/ (- 1 k) 2))))>
1550838876.175 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) k)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) k) (sqrt PI))))))))))))))))))))))
1550838876.175 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2))))
1550838876.175 * * * * [misc]progress:  [ 91 / 92 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2)))))))) (pow n (/ (- 1 k) 2))))>
1550838876.176 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))))))))
1550838876.176 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2))))
1550838876.176 * * * * [misc]progress:  [ 92 / 92 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2)))))))) (pow n (/ (- 1 k) 2))))>
1550838876.176 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) k)) (- (+ (* +nan.0 (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI)))))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow k 2))))))))
1550838876.176 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* +nan.0 (pow n (/ (- 1 k) 2))))
1550838876.176 * * * [misc]progress:  adding candidates to table
1550838877.357 * * [misc]progress:  iteration 4 / 4
1550838877.357 * * * [misc]progress:  picking best candidate
1550838877.384 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838877.384 * * * [misc]progress:  localizing error
1550838877.395 * * * [misc]progress:  generating rewritten candidates
1550838877.395 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 2 2)
1550838877.396 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 2)
1550838877.398 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 1 2)
1550838877.424 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 2 1 1)
1550838877.426 * * * [misc]progress:  generating series expansions
1550838877.426 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 2 2)
1550838877.426 * [misc]backup-simplify:  Simplify (pow PI (/ (- 1 k) 2)) into (pow PI (* 1/2 (- 1 k)))
1550838877.426 * [misc]approximate:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in (k) around 0
1550838877.426 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838877.426 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838877.426 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838877.426 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.426 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.426 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.426 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.426 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.426 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.426 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.426 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.426 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.426 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.426 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.426 * [misc]backup-simplify:  Simplify PI into PI
1550838877.427 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.427 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.427 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.427 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.427 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.428 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838877.428 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838877.428 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838877.428 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838877.428 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.428 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.428 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.428 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.428 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.428 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.428 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.428 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.428 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.428 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.428 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.428 * [misc]backup-simplify:  Simplify PI into PI
1550838877.428 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.428 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.428 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.428 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.429 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.429 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838877.429 * [misc]backup-simplify:  Simplify (pow PI 1/2) into (pow PI 1/2)
1550838877.431 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1550838877.431 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.431 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.431 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838877.432 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1550838877.435 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1550838877.436 * [misc]backup-simplify:  Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
1550838877.441 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1550838877.441 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.441 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.441 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838877.443 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1550838877.447 * [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)))
1550838877.448 * [misc]backup-simplify:  Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
1550838877.451 * [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))))
1550838877.451 * [misc]backup-simplify:  Simplify (pow PI (/ (- 1 (/ 1 k)) 2)) into (pow PI (* 1/2 (- 1 (/ 1 k))))
1550838877.451 * [misc]approximate:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in (k) around 0
1550838877.451 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.451 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838877.451 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838877.451 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.451 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.451 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.451 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.451 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.451 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.451 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.452 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.452 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.452 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.452 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.452 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.452 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.452 * [misc]backup-simplify:  Simplify PI into PI
1550838877.452 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.453 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.453 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.453 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.454 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838877.454 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838877.454 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.454 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838877.454 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838877.454 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.454 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.454 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.454 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.454 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.454 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.454 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.455 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.455 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.455 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.455 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.455 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.455 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.455 * [misc]backup-simplify:  Simplify PI into PI
1550838877.455 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.455 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.455 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.456 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.456 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838877.456 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838877.457 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
1550838877.457 * [misc]backup-simplify:  Simplify (pow PI (/ (- 1 (/ 1 (- k))) 2)) into (pow PI (* 1/2 (+ (/ 1 k) 1)))
1550838877.457 * [misc]approximate:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in (k) around 0
1550838877.457 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.457 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838877.457 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838877.457 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.457 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.457 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.457 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.457 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.457 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.457 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.457 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.458 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.458 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.458 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.458 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.458 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.458 * [misc]backup-simplify:  Simplify PI into PI
1550838877.458 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.458 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.458 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.458 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.459 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838877.459 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.459 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.459 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.459 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.459 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.459 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.459 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.459 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.459 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.459 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.459 * [misc]backup-simplify:  Simplify PI into PI
1550838877.459 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.459 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.459 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.460 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.460 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838877.460 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838877.460 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.460 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.460 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.460 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.460 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.460 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.460 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) into (exp (* 1/2 (* (- 1 k) (log PI))))
1550838877.460 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 2)
1550838877.461 * [misc]backup-simplify:  Simplify (pow n (/ (- 1 k) 2)) into (pow n (* 1/2 (- 1 k)))
1550838877.461 * [misc]approximate:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in (n k) around 0
1550838877.461 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in k
1550838877.461 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in k
1550838877.461 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in k
1550838877.461 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.461 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.461 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.461 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.461 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.461 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.461 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.461 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.461 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.461 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838877.461 * [misc]taylor:  Taking taylor expansion of n in k
1550838877.461 * [misc]backup-simplify:  Simplify n into n
1550838877.461 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838877.461 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.461 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.461 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.461 * [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
1550838877.461 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
1550838877.461 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n
1550838877.461 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n
1550838877.461 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n
1550838877.461 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838877.461 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838877.461 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.461 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838877.461 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838877.461 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.461 * [misc]taylor:  Taking taylor expansion of k in n
1550838877.461 * [misc]backup-simplify:  Simplify k into k
1550838877.461 * [misc]taylor:  Taking taylor expansion of (log n) in n
1550838877.461 * [misc]taylor:  Taking taylor expansion of n in n
1550838877.461 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.461 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.462 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.462 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838877.462 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838877.462 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838877.462 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838877.462 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
1550838877.462 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
1550838877.462 * [misc]taylor:  Taking taylor expansion of (pow n (* 1/2 (- 1 k))) in n
1550838877.462 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log n))) in n
1550838877.462 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log n)) in n
1550838877.462 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in n
1550838877.462 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838877.462 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.462 * [misc]taylor:  Taking taylor expansion of (- 1 k) in n
1550838877.462 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838877.462 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.462 * [misc]taylor:  Taking taylor expansion of k in n
1550838877.462 * [misc]backup-simplify:  Simplify k into k
1550838877.462 * [misc]taylor:  Taking taylor expansion of (log n) in n
1550838877.462 * [misc]taylor:  Taking taylor expansion of n in n
1550838877.462 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.462 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.462 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.462 * [misc]backup-simplify:  Simplify (- k) into (- k)
1550838877.462 * [misc]backup-simplify:  Simplify (+ 1 (- k)) into (- 1 k)
1550838877.462 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 k)) into (* 1/2 (- 1 k))
1550838877.463 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838877.463 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 k)) (log n)) into (* 1/2 (* (- 1 k) (log n)))
1550838877.463 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (- 1 k) (log n)))) into (exp (* 1/2 (* (- 1 k) (log n))))
1550838877.463 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (- 1 k) (log n)))) in k
1550838877.463 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (- 1 k) (log n))) in k
1550838877.463 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.463 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.463 * [misc]taylor:  Taking taylor expansion of (* (- 1 k) (log n)) in k
1550838877.463 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.463 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.463 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.463 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.463 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.463 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.463 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838877.463 * [misc]taylor:  Taking taylor expansion of n in k
1550838877.463 * [misc]backup-simplify:  Simplify n into n
1550838877.463 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838877.463 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.463 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.463 * [misc]backup-simplify:  Simplify (* 1 (log n)) into (log n)
1550838877.463 * [misc]backup-simplify:  Simplify (* 1/2 (log n)) into (* 1/2 (log n))
1550838877.463 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log n))) into (pow n 1/2)
1550838877.463 * [misc]backup-simplify:  Simplify (pow n 1/2) into (pow n 1/2)
1550838877.465 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838877.465 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.465 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.465 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 k))) into 0
1550838877.465 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838877.465 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (* 0 (log n))) into 0
1550838877.466 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838877.466 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.466 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.466 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.467 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1550838877.467 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.467 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.467 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* -1 (log n))) into (- (log n))
1550838877.467 * [misc]backup-simplify:  Simplify (+ (* 1/2 (- (log n))) (* 0 (log n))) into (- (* 1/2 (log n)))
1550838877.468 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 1) 1)))) into (* -1/2 (* (sqrt n) (log n)))
1550838877.468 * [misc]backup-simplify:  Simplify (* -1/2 (* (sqrt n) (log n))) into (* -1/2 (* (sqrt n) (log n)))
1550838877.470 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838877.470 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.470 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.471 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 k)))) into 0
1550838877.471 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) 0) into (log n)
1550838877.471 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 k)) 0) (+ (* 0 0) (* 0 (log n)))) into 0
1550838877.472 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (- 1 k) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838877.472 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.472 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.472 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.472 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.473 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1550838877.473 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.473 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.474 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* -1 0) (* 0 (log n)))) into 0
1550838877.474 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (- (log n))) (* 0 (log n)))) into 0
1550838877.474 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log n))) (+ (* (/ (pow (- (* 1/2 (log n))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
1550838877.474 * [misc]backup-simplify:  Simplify (* 1/8 (* (sqrt n) (pow (log n) 2))) into (* 1/8 (* (sqrt n) (pow (log n) 2)))
1550838877.475 * [misc]backup-simplify:  Simplify (+ (* (* 1/8 (* (sqrt n) (pow (log n) 2))) (pow (* k 1) 2)) (+ (* (* -1/2 (* (sqrt n) (log n))) (* k 1)) (pow n 1/2))) into (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
1550838877.475 * [misc]backup-simplify:  Simplify (pow (/ 1 n) (/ (- 1 (/ 1 k)) 2)) into (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k))))
1550838877.475 * [misc]approximate:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0
1550838877.475 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.475 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.475 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.475 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.475 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.475 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.475 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.475 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.475 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in k
1550838877.475 * [misc]taylor:  Taking taylor expansion of n in k
1550838877.475 * [misc]backup-simplify:  Simplify n into n
1550838877.475 * [misc]backup-simplify:  Simplify (/ 1 n) into (/ 1 n)
1550838877.475 * [misc]backup-simplify:  Simplify (log (/ 1 n)) into (log (/ 1 n))
1550838877.476 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.476 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.476 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.476 * [misc]backup-simplify:  Simplify (* -1/2 (log (/ 1 n))) into (* -1/2 (log (/ 1 n)))
1550838877.476 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log (/ 1 n)))))
1550838877.476 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838877.476 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.476 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838877.476 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.476 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of k in n
1550838877.476 * [misc]backup-simplify:  Simplify k into k
1550838877.476 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838877.476 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1550838877.476 * [misc]taylor:  Taking taylor expansion of n in n
1550838877.476 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.476 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.476 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.476 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.476 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838877.477 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838877.477 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838877.477 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838877.477 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
1550838877.477 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838877.477 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 n) (* 1/2 (- 1 (/ 1 k)))) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n)))) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (/ 1 n))) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838877.477 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.477 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838877.477 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.477 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of k in n
1550838877.477 * [misc]backup-simplify:  Simplify k into k
1550838877.477 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838877.477 * [misc]taylor:  Taking taylor expansion of (log (/ 1 n)) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of (/ 1 n) in n
1550838877.477 * [misc]taylor:  Taking taylor expansion of n in n
1550838877.477 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.477 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.477 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.477 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.477 * [misc]backup-simplify:  Simplify (- (/ 1 k)) into (- (/ 1 k))
1550838877.478 * [misc]backup-simplify:  Simplify (+ 1 (- (/ 1 k))) into (- 1 (/ 1 k))
1550838877.478 * [misc]backup-simplify:  Simplify (* 1/2 (- 1 (/ 1 k))) into (* 1/2 (- 1 (/ 1 k)))
1550838877.478 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838877.478 * [misc]backup-simplify:  Simplify (* (* 1/2 (- 1 (/ 1 k))) (- (log n))) into (* -1/2 (* (- 1 (/ 1 k)) (log n)))
1550838877.478 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838877.478 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) in k
1550838877.478 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (- 1 (/ 1 k)) (log n))) in k
1550838877.478 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1550838877.478 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1550838877.478 * [misc]taylor:  Taking taylor expansion of (* (- 1 (/ 1 k)) (log n)) in k
1550838877.478 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.478 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.478 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.478 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.478 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.478 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.478 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.478 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.478 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838877.478 * [misc]taylor:  Taking taylor expansion of n in k
1550838877.478 * [misc]backup-simplify:  Simplify n into n
1550838877.478 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838877.478 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.479 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.479 * [misc]backup-simplify:  Simplify (* -1 (log n)) into (* -1 (log n))
1550838877.479 * [misc]backup-simplify:  Simplify (* -1/2 (* -1 (log n))) into (* 1/2 (log n))
1550838877.479 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838877.479 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) into (exp (* -1/2 (* (- 1 (/ 1 k)) (log n))))
1550838877.479 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838877.480 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838877.480 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838877.481 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.481 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.481 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- 1 (/ 1 k)))) into 0
1550838877.481 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838877.481 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (* 0 (- (log n)))) into 0
1550838877.482 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838877.482 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.482 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.482 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.482 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.482 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.484 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838877.485 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838877.485 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.485 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.485 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k))))) into 0
1550838877.485 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838877.485 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log n))))) into 0
1550838877.486 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838877.487 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.487 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.487 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.487 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.487 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.487 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.491 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1550838877.491 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838877.491 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.491 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.491 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1 (/ 1 k)))))) into 0
1550838877.492 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) 0) into (- (log n))
1550838877.492 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (- 1 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log n)))))) into 0
1550838877.494 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (- 1 (/ 1 k)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838877.494 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.494 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.494 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.494 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (- 1 (/ 1 (/ 1 k))) (log (/ 1 n))))) into (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
1550838877.494 * [misc]backup-simplify:  Simplify (pow (/ 1 (- n)) (/ (- 1 (/ 1 (- k))) 2)) into (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1)))
1550838877.494 * [misc]approximate:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0
1550838877.494 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.494 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.494 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.494 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.494 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.494 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.494 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.494 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.494 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in k
1550838877.494 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838877.494 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.494 * [misc]taylor:  Taking taylor expansion of n in k
1550838877.494 * [misc]backup-simplify:  Simplify n into n
1550838877.494 * [misc]backup-simplify:  Simplify (/ -1 n) into (/ -1 n)
1550838877.494 * [misc]backup-simplify:  Simplify (log (/ -1 n)) into (log (/ -1 n))
1550838877.495 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.495 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.495 * [misc]backup-simplify:  Simplify (* 1/2 (log (/ -1 n))) into (* 1/2 (log (/ -1 n)))
1550838877.495 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log (/ -1 n)))))
1550838877.495 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838877.495 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.495 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of k in n
1550838877.495 * [misc]backup-simplify:  Simplify k into k
1550838877.495 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838877.495 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838877.495 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.495 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in n
1550838877.495 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838877.495 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.495 * [misc]taylor:  Taking taylor expansion of n in n
1550838877.495 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.495 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.495 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838877.495 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838877.495 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838877.496 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838877.496 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838877.496 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))
1550838877.496 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838877.496 * [misc]taylor:  Taking taylor expansion of (pow (/ -1 n) (* 1/2 (+ (/ 1 k) 1))) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n)))) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (/ -1 n))) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1550838877.496 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.496 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of k in n
1550838877.496 * [misc]backup-simplify:  Simplify k into k
1550838877.496 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1550838877.496 * [misc]taylor:  Taking taylor expansion of 1 in n
1550838877.496 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.496 * [misc]taylor:  Taking taylor expansion of (log (/ -1 n)) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of (/ -1 n) in n
1550838877.496 * [misc]taylor:  Taking taylor expansion of -1 in n
1550838877.496 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.496 * [misc]taylor:  Taking taylor expansion of n in n
1550838877.496 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.496 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.497 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838877.497 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838877.497 * [misc]backup-simplify:  Simplify (+ (/ 1 k) 1) into (+ (/ 1 k) 1)
1550838877.497 * [misc]backup-simplify:  Simplify (* 1/2 (+ (/ 1 k) 1)) into (* 1/2 (+ (/ 1 k) 1))
1550838877.497 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838877.497 * [misc]backup-simplify:  Simplify (* (* 1/2 (+ (/ 1 k) 1)) (- (log -1) (log n))) into (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))
1550838877.497 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838877.497 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) in k
1550838877.497 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))) in k
1550838877.497 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.498 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.498 * [misc]taylor:  Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log -1) (log n))) in k
1550838877.498 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.498 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.498 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.498 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.498 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.498 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.498 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.498 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.498 * [misc]taylor:  Taking taylor expansion of (- (log -1) (log n)) in k
1550838877.498 * [misc]taylor:  Taking taylor expansion of (log -1) in k
1550838877.498 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838877.498 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.498 * [misc]backup-simplify:  Simplify (log -1) into (log -1)
1550838877.498 * [misc]taylor:  Taking taylor expansion of (log n) in k
1550838877.498 * [misc]taylor:  Taking taylor expansion of n in k
1550838877.498 * [misc]backup-simplify:  Simplify n into n
1550838877.498 * [misc]backup-simplify:  Simplify (log n) into (log n)
1550838877.498 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.498 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1550838877.498 * [misc]backup-simplify:  Simplify (+ (log -1) (- (log n))) into (- (log -1) (log n))
1550838877.498 * [misc]backup-simplify:  Simplify (* 1 (- (log -1) (log n))) into (- (log -1) (log n))
1550838877.499 * [misc]backup-simplify:  Simplify (* 1/2 (- (log -1) (log n))) into (* 1/2 (- (log -1) (log n)))
1550838877.499 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838877.499 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n)))))
1550838877.499 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838877.501 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
1550838877.501 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1550838877.501 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.501 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (/ 1 k) 1))) into 0
1550838877.501 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838877.501 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (* 0 (- (log -1) (log n)))) into 0
1550838877.502 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838877.502 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.502 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.502 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.502 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.502 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.505 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
1550838877.505 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838877.505 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.506 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1)))) into 0
1550838877.506 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838877.506 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (* 0 (- (log -1) (log n))))) into 0
1550838877.507 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838877.507 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.507 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.507 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.507 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.507 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.508 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.511 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
1550838877.511 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1550838877.512 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.512 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1))))) into 0
1550838877.512 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log -1)) into (- (log -1) (log n))
1550838877.512 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 (+ (/ 1 k) 1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log n)))))) into 0
1550838877.514 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log -1) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838877.514 * [misc]taylor:  Taking taylor expansion of 0 in k
1550838877.514 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.514 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.515 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (- (log -1) (log (/ 1 (- n))))))) into (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
1550838877.515 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 1 2)
1550838877.515 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) into (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (pow (/ 1 k) 1/4))
1550838877.515 * [misc]approximate:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (pow (/ 1 k) 1/4)) in (k) around 0
1550838877.515 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (pow (/ 1 k) 1/4)) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.515 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.515 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.515 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.515 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.515 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.515 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.515 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838877.515 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838877.515 * [misc]backup-simplify:  Simplify 2 into 2
1550838877.515 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838877.515 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.516 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.516 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.516 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838877.516 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
1550838877.516 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838877.516 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838877.516 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838877.516 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.516 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.516 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.516 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.516 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.516 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.516 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.516 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.516 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.516 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.516 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.516 * [misc]backup-simplify:  Simplify PI into PI
1550838877.517 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.517 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.517 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.517 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.517 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.518 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838877.518 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 k) 1/4) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of 1/4 in k
1550838877.518 * [misc]backup-simplify:  Simplify 1/4 into 1/4
1550838877.518 * [misc]taylor:  Taking taylor expansion of (log (/ 1 k)) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.518 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.518 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.518 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.518 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.518 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
1550838877.518 * [misc]backup-simplify:  Simplify (* 1/4 (- (log k))) into (* -1/4 (log k))
1550838877.518 * [misc]backup-simplify:  Simplify (exp (* -1/4 (log k))) into (pow k -1/4)
1550838877.518 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) (pow (/ 1 k) 1/4)) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 k))) (pow PI (* 1/2 (- 1 k)))) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 k))) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log 2))) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log 2)) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.518 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.518 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.518 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.519 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.519 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.519 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.519 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.519 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.519 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838877.519 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838877.519 * [misc]backup-simplify:  Simplify 2 into 2
1550838877.519 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838877.519 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.519 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.519 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.519 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838877.520 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log 2))) into (pow 2 1/2)
1550838877.520 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 k))) in k
1550838877.520 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log PI))) in k
1550838877.520 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 k)) (log PI)) in k
1550838877.520 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 k)) in k
1550838877.520 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.520 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.520 * [misc]taylor:  Taking taylor expansion of (- 1 k) in k
1550838877.520 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.520 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.520 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.520 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.520 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.520 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.520 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.520 * [misc]backup-simplify:  Simplify PI into PI
1550838877.520 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.520 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.520 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.520 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.520 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.521 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
1550838877.521 * [misc]taylor:  Taking taylor expansion of (pow (/ 1 k) 1/4) in k
1550838877.521 * [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k
1550838877.521 * [misc]taylor:  Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k
1550838877.521 * [misc]taylor:  Taking taylor expansion of 1/4 in k
1550838877.521 * [misc]backup-simplify:  Simplify 1/4 into 1/4
1550838877.521 * [misc]taylor:  Taking taylor expansion of (log (/ 1 k)) in k
1550838877.521 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.521 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.521 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.521 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.521 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.521 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.522 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
1550838877.522 * [misc]backup-simplify:  Simplify (* 1/4 (- (log k))) into (* -1/4 (log k))
1550838877.522 * [misc]backup-simplify:  Simplify (exp (* -1/4 (log k))) into (pow k -1/4)
1550838877.522 * [misc]backup-simplify:  Simplify (* (pow 2 1/2) (pow PI 1/2)) into (sqrt (* PI 2))
1550838877.523 * [misc]backup-simplify:  Simplify (* (sqrt (* PI 2)) (pow k -1/4)) into (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4)))
1550838877.523 * [misc]backup-simplify:  Simplify (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4))) into (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4)))
1550838877.523 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838877.525 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838877.525 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
1550838877.525 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0
1550838877.526 * [misc]backup-simplify:  Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838877.529 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
1550838877.529 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.529 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.529 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838877.530 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
1550838877.531 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
1550838877.533 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
1550838877.533 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.533 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.533 * [misc]backup-simplify:  Simplify (+ (* 1/2 -1) (* 0 1)) into -1/2
1550838877.533 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (log 2))) into (- (* 1/2 (log 2)))
1550838877.535 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 1) 1)))) into (* -1/2 (* (log 2) (sqrt 2)))
1550838877.537 * [misc]backup-simplify:  Simplify (+ (* (pow 2 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (log 2) (sqrt 2))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI)))))
1550838877.540 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI 2)) 0) (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (pow k -1/4))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4))))))
1550838877.542 * [misc]backup-simplify:  Simplify (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4))))))
1550838877.543 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.547 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838877.547 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log k)) 0) into (- (log k))
1550838877.547 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0
1550838877.549 * [misc]backup-simplify:  Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838877.554 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
1550838877.554 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.554 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.554 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838877.555 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
1550838877.560 * [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)))
1550838877.564 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
1550838877.564 * [misc]backup-simplify:  Simplify (- 0) into 0
1550838877.564 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1550838877.564 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 -1) (* 0 1))) into 0
1550838877.565 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log 2)))) into 0
1550838877.568 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (log 2))) (+ (* (/ (pow (- (* 1/2 (log 2))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log 2) 2) (sqrt 2)))
1550838877.575 * [misc]backup-simplify:  Simplify (+ (* (pow 2 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (log 2) (sqrt 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (pow (log 2) 2) (sqrt 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))
1550838877.582 * [misc]backup-simplify:  Simplify (+ (* (sqrt (* PI 2)) 0) (+ (* (- (+ (* 1/2 (* (* (log 2) (sqrt 2)) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 0) (* (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (pow k -1/4)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (/ 1 k) 1/4))))))
1550838877.585 * [misc]backup-simplify:  Simplify (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (/ 1 k) 1/4))))))
1550838877.590 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) (pow k 2)) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (/ 1 k) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) k) (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4))))) into (- (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (pow k 7) 1/4)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (pow k 7) 1/4)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (pow k 7) 1/4)))) (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (pow k 3) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (pow k 3) 1/4))))))
1550838877.590 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt (/ 1 k)))) (* (pow 2 (/ (- 1 (/ 1 k)) 2)) (pow PI (/ (- 1 (/ 1 k)) 2)))) into (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (pow k 1/4))
1550838877.590 * [misc]approximate:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (pow k 1/4)) in (k) around 0
1550838877.590 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (pow k 1/4)) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.590 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.590 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.590 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.590 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.590 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.590 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.590 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.590 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838877.590 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838877.590 * [misc]backup-simplify:  Simplify 2 into 2
1550838877.590 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838877.590 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.591 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.591 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.591 * [misc]backup-simplify:  Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
1550838877.591 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))
1550838877.591 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.591 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.591 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.591 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.591 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.591 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.591 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.591 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.591 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.591 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.591 * [misc]backup-simplify:  Simplify PI into PI
1550838877.592 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.592 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.592 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.592 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.592 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838877.593 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838877.593 * [misc]taylor:  Taking taylor expansion of (pow k 1/4) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log k))) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (* 1/4 (log k)) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of 1/4 in k
1550838877.593 * [misc]backup-simplify:  Simplify 1/4 into 1/4
1550838877.593 * [misc]taylor:  Taking taylor expansion of (log k) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.593 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.593 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.593 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.593 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.593 * [misc]backup-simplify:  Simplify (* 1/4 (log k)) into (* 1/4 (log k))
1550838877.593 * [misc]backup-simplify:  Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
1550838877.593 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) (pow k 1/4)) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (- 1 (/ 1 k)))) (pow PI (* 1/2 (- 1 (/ 1 k))))) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log 2)) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.593 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.593 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.593 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.593 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.593 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.593 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.593 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.593 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838877.593 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838877.593 * [misc]backup-simplify:  Simplify 2 into 2
1550838877.593 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838877.594 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.594 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.594 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.594 * [misc]backup-simplify:  Simplify (* -1/2 (log 2)) into (* -1/2 (log 2))
1550838877.594 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log 2))) into (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))
1550838877.594 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (- 1 (/ 1 k)))) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log PI)) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.594 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.594 * [misc]taylor:  Taking taylor expansion of (- 1 (/ 1 k)) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.594 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.594 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.594 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.594 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.594 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.594 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.594 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.595 * [misc]backup-simplify:  Simplify PI into PI
1550838877.595 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.595 * [misc]backup-simplify:  Simplify (- 1) into -1
1550838877.595 * [misc]backup-simplify:  Simplify (+ 0 -1) into -1
1550838877.595 * [misc]backup-simplify:  Simplify (* 1/2 -1) into -1/2
1550838877.595 * [misc]backup-simplify:  Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
1550838877.595 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (- 1 (/ 1 k))) (log PI))) into (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))
1550838877.595 * [misc]taylor:  Taking taylor expansion of (pow k 1/4) in k
1550838877.595 * [misc]taylor:  Taking taylor expansion of (exp (* 1/4 (log k))) in k
1550838877.595 * [misc]taylor:  Taking taylor expansion of (* 1/4 (log k)) in k
1550838877.596 * [misc]taylor:  Taking taylor expansion of 1/4 in k
1550838877.596 * [misc]backup-simplify:  Simplify 1/4 into 1/4
1550838877.596 * [misc]taylor:  Taking taylor expansion of (log k) in k
1550838877.596 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.596 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.596 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.596 * [misc]backup-simplify:  Simplify (log 1) into 0
1550838877.596 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.596 * [misc]backup-simplify:  Simplify (* 1/4 (log k)) into (* 1/4 (log k))
1550838877.596 * [misc]backup-simplify:  Simplify (exp (* 1/4 (log k))) into (pow k 1/4)
1550838877.596 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))) into (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))))
1550838877.597 * [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) (pow k 1/4)) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) (pow k 1/4))
1550838877.597 * [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) (pow k 1/4)) into (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) (pow k 1/4))
1550838877.598 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
1550838877.599 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.599 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (* 0 (log k))) into 0
1550838877.599 * [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0
1550838877.600 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))) into 0
1550838877.600 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) (* 0 (pow k 1/4))) into 0
1550838877.600 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.603 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
1550838877.603 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.603 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0
1550838877.604 * [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838877.605 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))) into 0
1550838877.605 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0
1550838877.605 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.609 * [misc]backup-simplify:  Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
1550838877.609 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.610 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0
1550838877.611 * [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838877.612 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))))) into 0
1550838877.613 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0
1550838877.613 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.619 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0
1550838877.619 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.619 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0
1550838877.622 * [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log 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
1550838877.623 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))))) into 0
1550838877.624 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))) into 0
1550838877.624 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.640 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0
1550838877.640 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.641 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0
1550838877.649 * [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1550838877.650 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))))))))) into 0
1550838877.652 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))))) into 0
1550838877.652 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.677 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0
1550838877.678 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log k)) 0) into (log k)
1550838877.679 * [misc]backup-simplify:  Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0
1550838877.687 * [misc]backup-simplify:  Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1550838877.688 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (- 1 (/ 1 k))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI))))))))))) into 0
1550838877.688 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (- 1 (/ 1 k)) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4)))))))) into 0
1550838877.688 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.689 * [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (* (- 1 (/ 1 (/ 1 k))) (log PI)))) (exp (* 1/2 (* (log 2) (- 1 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 1/4)) into (* (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow (/ 1 k) 1/4))
1550838877.689 * [misc]backup-simplify:  Simplify (* (sqrt (/ 1 (sqrt (/ 1 (- k))))) (* (pow 2 (/ (- 1 (/ 1 (- k))) 2)) (pow PI (/ (- 1 (/ 1 (- k))) 2)))) into (* (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ 1 (sqrt (/ -1 k)))))
1550838877.689 * [misc]approximate:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0
1550838877.689 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.689 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.689 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.689 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.689 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.689 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.689 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.689 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.689 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.690 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838877.690 * [misc]backup-simplify:  Simplify 2 into 2
1550838877.690 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838877.690 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.690 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.690 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838877.690 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))
1550838877.690 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.690 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.690 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.690 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.690 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.690 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.690 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.691 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.691 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.691 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.691 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.691 * [misc]backup-simplify:  Simplify PI into PI
1550838877.691 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.691 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.691 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.691 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.691 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838877.692 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k
1550838877.692 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838877.692 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838877.692 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838877.692 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838877.692 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.692 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.692 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.692 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.692 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838877.692 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.692 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838877.692 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838877.692 * [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
1550838877.693 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838877.693 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838877.694 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838877.694 * [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
1550838877.694 * [misc]taylor:  Taking taylor expansion of (* (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of (* (pow 2 (* 1/2 (+ (/ 1 k) 1))) (pow PI (* 1/2 (+ (/ 1 k) 1)))) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of (pow 2 (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log 2)) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.694 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.694 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.694 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.694 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.694 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.694 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.694 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.694 * [misc]taylor:  Taking taylor expansion of (log 2) in k
1550838877.694 * [misc]taylor:  Taking taylor expansion of 2 in k
1550838877.694 * [misc]backup-simplify:  Simplify 2 into 2
1550838877.694 * [misc]backup-simplify:  Simplify (log 2) into (log 2)
1550838877.695 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.695 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.695 * [misc]backup-simplify:  Simplify (* 1/2 (log 2)) into (* 1/2 (log 2))
1550838877.695 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log 2))) into (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))
1550838877.695 * [misc]taylor:  Taking taylor expansion of (pow PI (* 1/2 (+ (/ 1 k) 1))) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log PI)) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1550838877.695 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1550838877.695 * [misc]taylor:  Taking taylor expansion of (+ (/ 1 k) 1) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.695 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.695 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.695 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.695 * [misc]taylor:  Taking taylor expansion of 1 in k
1550838877.695 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.695 * [misc]taylor:  Taking taylor expansion of (log PI) in k
1550838877.695 * [misc]taylor:  Taking taylor expansion of PI in k
1550838877.695 * [misc]backup-simplify:  Simplify PI into PI
1550838877.696 * [misc]backup-simplify:  Simplify (log PI) into (log PI)
1550838877.696 * [misc]backup-simplify:  Simplify (+ 1 0) into 1
1550838877.696 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1550838877.696 * [misc]backup-simplify:  Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
1550838877.696 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (+ (/ 1 k) 1)) (log PI))) into (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))
1550838877.696 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k
1550838877.696 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838877.696 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838877.696 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838877.696 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838877.697 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.697 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.697 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.697 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.697 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838877.697 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.697 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838877.697 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838877.697 * [misc]backup-simplify:  Simplify (sqrt +nan.0) into (sqrt +nan.0)
1550838877.697 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838877.698 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838877.699 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838877.699 * [misc]backup-simplify:  Simplify (/ (- +nan.0) (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0))
1550838877.699 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))
1550838877.700 * [misc]backup-simplify:  Simplify (* (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0)) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (sqrt +nan.0) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))
1550838877.700 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (sqrt +nan.0) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))))) into (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (* (sqrt +nan.0) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))))
1550838877.701 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))))) into 0
1550838877.701 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0))))
1550838877.702 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0)))) into (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0))))
1550838877.702 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.703 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838877.704 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838877.705 * [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)))
1550838877.706 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1)))) 0) (+ (* 0 0) (* 0 (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI))))))) into 0
1550838877.708 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0)))) (+ (* 0 (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0))))))
1550838877.709 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0)))))) into (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 k) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 k) 1))))) (sqrt +nan.0))))))
1550838877.712 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1))))) (sqrt +nan.0)))))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (/ (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1))))) (sqrt +nan.0)))) (/ 1 (- k))) (* (exp (* 1/2 (* (+ (/ 1 (/ 1 (- k))) 1) (log PI)))) (* (sqrt +nan.0) (exp (* 1/2 (* (log 2) (+ (/ 1 (/ 1 (- k))) 1)))))))) into (- (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt +nan.0))) (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))))))
1550838877.712 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 2 1 1)
1550838877.712 * [misc]backup-simplify:  Simplify (/ 1 (sqrt k)) into (sqrt (/ 1 k))
1550838877.712 * [misc]approximate:  Taking taylor expansion of (sqrt (/ 1 k)) in (k) around 0
1550838877.712 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838877.712 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.712 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.712 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.712 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.712 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.712 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.712 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838877.712 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1550838877.712 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1550838877.713 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.713 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.713 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.713 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1550838877.713 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.713 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838877.713 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.713 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.713 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1550838877.714 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838877.714 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.714 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.715 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838877.715 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.715 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow k 2)) (+ (* +nan.0 k) +nan.0)) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838877.715 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 k))) into (sqrt k)
1550838877.715 * [misc]approximate:  Taking taylor expansion of (sqrt k) in (k) around 0
1550838877.715 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838877.715 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.715 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.715 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.715 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.715 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838877.715 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1550838877.715 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.715 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.715 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.716 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.716 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1550838877.716 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.716 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.717 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838877.717 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.718 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838877.718 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.718 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (pow (/ 1 k) 3)) (+ (* +nan.0 (pow (/ 1 k) 2)) (* +nan.0 (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838877.718 * [misc]backup-simplify:  Simplify (/ 1 (sqrt (/ 1 (- k)))) into (/ 1 (sqrt (/ -1 k)))
1550838877.718 * [misc]approximate:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in (k) around 0
1550838877.718 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838877.718 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838877.718 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838877.718 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838877.718 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.718 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.718 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.718 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.718 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838877.719 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.719 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838877.719 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838877.719 * [misc]taylor:  Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k
1550838877.719 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1550838877.719 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1550838877.719 * [misc]taylor:  Taking taylor expansion of -1 in k
1550838877.719 * [misc]backup-simplify:  Simplify -1 into -1
1550838877.719 * [misc]taylor:  Taking taylor expansion of k in k
1550838877.719 * [misc]backup-simplify:  Simplify 0 into 0
1550838877.719 * [misc]backup-simplify:  Simplify 1 into 1
1550838877.719 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1550838877.719 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1550838877.720 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1550838877.720 * [misc]backup-simplify:  Simplify (/ 1 +nan.0) into +nan.0
1550838877.720 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1550838877.720 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1550838877.721 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1550838877.721 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838877.721 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838877.722 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1550838877.722 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1550838877.723 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0)
1550838877.723 * [misc]backup-simplify:  Simplify (- +nan.0) into (- +nan.0)
1550838877.724 * [misc]backup-simplify:  Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838877.724 * * * [misc]progress:  simplifying candidates
1550838877.724 * * * * [misc]progress:  [ 1 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (exp (* (log PI) (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838877.724 * * * * [misc]progress:  [ 2 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2)))))) (pow n (/ (- 1 k) 2))))>
1550838877.724 * [enter]simplify:  Simplifying (pow PI (/ k 2))
1550838877.724 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838877.725 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838877.728 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.728 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838877.728 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838877.728 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838877.728 * [exit]simplify:  Simplified to (pow PI (/ k 2))
1550838877.728 * [misc]simplify:  Simplified (2 1 2 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (/ (pow PI (/ 1 2)) (pow PI (/ k 2)))))) (pow n (/ (- 1 k) 2))))
1550838877.728 * * * * [misc]progress:  [ 3 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838877.728 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838877.728 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838877.732 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838877.740 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838877.750 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.750 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838877.750 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838877.750 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838877.750 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838877.750 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838877.751 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838877.751 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838877.751 * [misc]simplify:  Simplified (2 1 2 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838877.751 * * * * [misc]progress:  [ 4 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838877.752 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838877.752 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838877.757 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838877.766 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838877.776 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.776 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838877.776 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838877.776 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838877.776 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838877.776 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838877.776 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838877.777 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838877.777 * [misc]simplify:  Simplified (2 1 2 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838877.777 * * * * [misc]progress:  [ 5 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838877.777 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838877.777 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838877.781 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838877.788 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838877.796 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.796 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838877.796 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838877.796 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838877.797 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838877.797 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838877.797 * [misc]simplify:  Simplified (2 1 2 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI 1) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838877.797 * * * * [misc]progress:  [ 6 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) (/ 1 2))))) (pow n (/ (- 1 k) 2))))>
1550838877.797 * [enter]simplify:  Simplifying (/ 1 2)
1550838877.797 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838877.800 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838877.804 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.804 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838877.804 * [exit]simplify:  Simplified to 1/2
1550838877.804 * [misc]simplify:  Simplified (2 1 2 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (- 1 k)) 1/2)))) (pow n (/ (- 1 k) 2))))
1550838877.804 * * * * [misc]progress:  [ 7 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow (pow PI (/ (- 1 k) 2)) 1)))) (pow n (/ (- 1 k) 2))))>
1550838877.804 * * * * [misc]progress:  [ 8 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (exp (log (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838877.804 * * * * [misc]progress:  [ 9 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (log (exp (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838877.805 * * * * [misc]progress:  [ 10 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (* (* (cbrt (pow PI (/ (- 1 k) 2))) (cbrt (pow PI (/ (- 1 k) 2)))) (cbrt (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838877.805 * * * * [misc]progress:  [ 11 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (cbrt (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838877.805 * * * * [misc]progress:  [ 12 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (* (sqrt (pow PI (/ (- 1 k) 2))) (sqrt (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838877.805 * * * * [misc]progress:  [ 13 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (* 1 (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838877.805 * * * * [misc]progress:  [ 14 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (posit16->real (real->posit16 (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838877.805 * * * * [misc]progress:  [ 15 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (exp (* (log n) (/ (- 1 k) 2)))))>
1550838877.805 * * * * [misc]progress:  [ 16 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))>
1550838877.805 * [enter]simplify:  Simplifying (pow n (/ k 2))
1550838877.805 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838877.808 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838877.812 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.812 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838877.812 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838877.812 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838877.812 * [exit]simplify:  Simplified to (pow n (/ k 2))
1550838877.812 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))
1550838877.812 * * * * [misc]progress:  [ 17 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))>
1550838877.813 * [enter]simplify:  Simplifying (cbrt (/ (- 1 k) 2))
1550838877.813 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838877.816 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838877.825 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838877.829 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.830 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838877.830 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838877.830 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838877.830 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838877.830 * * [misc]simplify:  Extracting #5: cost 2 inf + 500
1550838877.830 * * [misc]simplify:  Extracting #6: cost 0 inf + 746
1550838877.830 * [exit]simplify:  Simplified to (cbrt (/ (- 1 k) 2))
1550838877.830 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (* (cbrt (/ (- 1 k) 2)) (cbrt (/ (- 1 k) 2)))) (cbrt (/ (- 1 k) 2)))))
1550838877.830 * * * * [misc]progress:  [ 18 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))>
1550838877.830 * [enter]simplify:  Simplifying (sqrt (/ (- 1 k) 2))
1550838877.830 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838877.832 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838877.837 * * [misc]simplify:  iters left: 3 (35 enodes)
1550838877.842 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.842 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838877.842 * * [misc]simplify:  Extracting #2: cost 8 inf + 0
1550838877.842 * * [misc]simplify:  Extracting #3: cost 11 inf + 2
1550838877.842 * * [misc]simplify:  Extracting #4: cost 8 inf + 87
1550838877.842 * * [misc]simplify:  Extracting #5: cost 2 inf + 460
1550838877.842 * * [misc]simplify:  Extracting #6: cost 0 inf + 666
1550838877.842 * [exit]simplify:  Simplified to (sqrt (/ (- 1 k) 2))
1550838877.842 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (sqrt (/ (- 1 k) 2))) (sqrt (/ (- 1 k) 2)))))
1550838877.843 * * * * [misc]progress:  [ 19 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n 1) (/ (- 1 k) 2))))>
1550838877.843 * [enter]simplify:  Simplifying (/ (- 1 k) 2)
1550838877.843 * * [misc]simplify:  iters left: 4 (5 enodes)
1550838877.845 * * [misc]simplify:  iters left: 3 (23 enodes)
1550838877.849 * * [misc]simplify:  iters left: 2 (32 enodes)
1550838877.853 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.853 * * [misc]simplify:  Extracting #1: cost 6 inf + 0
1550838877.853 * * [misc]simplify:  Extracting #2: cost 9 inf + 2
1550838877.853 * * [misc]simplify:  Extracting #3: cost 6 inf + 87
1550838877.853 * * [misc]simplify:  Extracting #4: cost 0 inf + 420
1550838877.854 * [exit]simplify:  Simplified to (/ (- 1 k) 2)
1550838877.854 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n 1) (/ (- 1 k) 2))))
1550838877.854 * * * * [misc]progress:  [ 20 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (- 1 k)) (/ 1 2))))>
1550838877.854 * [enter]simplify:  Simplifying (/ 1 2)
1550838877.854 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838877.856 * * [misc]simplify:  iters left: 1 (12 enodes)
1550838877.859 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.859 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838877.859 * [exit]simplify:  Simplified to 1/2
1550838877.860 * [misc]simplify:  Simplified (2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (- 1 k)) 1/2)))
1550838877.860 * * * * [misc]progress:  [ 21 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow (pow n (/ (- 1 k) 2)) 1)))>
1550838877.860 * * * * [misc]progress:  [ 22 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (exp (log (pow n (/ (- 1 k) 2))))))>
1550838877.860 * * * * [misc]progress:  [ 23 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (log (exp (pow n (/ (- 1 k) 2))))))>
1550838877.860 * * * * [misc]progress:  [ 24 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (* (cbrt (pow n (/ (- 1 k) 2))) (cbrt (pow n (/ (- 1 k) 2)))) (cbrt (pow n (/ (- 1 k) 2))))))>
1550838877.860 * * * * [misc]progress:  [ 25 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (* (* (pow n (/ (- 1 k) 2)) (pow n (/ (- 1 k) 2))) (pow n (/ (- 1 k) 2))))))>
1550838877.860 * * * * [misc]progress:  [ 26 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (sqrt (pow n (/ (- 1 k) 2))) (sqrt (pow n (/ (- 1 k) 2))))))>
1550838877.860 * * * * [misc]progress:  [ 27 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* 1 (pow n (/ (- 1 k) 2)))))>
1550838877.860 * * * * [misc]progress:  [ 28 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (posit16->real (real->posit16 (pow n (/ (- 1 k) 2))))))>
1550838877.860 * * * * [misc]progress:  [ 29 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 1)) (pow n (/ (- 1 k) 2))))>
1550838877.861 * [enter]simplify:  Simplifying (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))
1550838877.861 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838877.867 * * [misc]simplify:  iters left: 5 (51 enodes)
1550838877.886 * * [misc]simplify:  iters left: 4 (68 enodes)
1550838877.904 * * [misc]simplify:  iters left: 3 (73 enodes)
1550838877.923 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838877.923 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838877.923 * * [misc]simplify:  Extracting #2: cost 18 inf + 0
1550838877.923 * * [misc]simplify:  Extracting #3: cost 23 inf + 2
1550838877.923 * * [misc]simplify:  Extracting #4: cost 26 inf + 4
1550838877.924 * * [misc]simplify:  Extracting #5: cost 25 inf + 46
1550838877.924 * * [misc]simplify:  Extracting #6: cost 13 inf + 1290
1550838877.925 * * [misc]simplify:  Extracting #7: cost 2 inf + 5398
1550838877.927 * * [misc]simplify:  Extracting #8: cost 0 inf + 6395
1550838877.928 * [exit]simplify:  Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))
1550838877.928 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k)))) 1)) (pow n (/ (- 1 k) 2))))
1550838877.928 * * * * [misc]progress:  [ 30 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (pow (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) 1)) (pow n (/ (- 1 k) 2))))>
1550838877.928 * * * * [misc]progress:  [ 31 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838877.929 * [enter]simplify:  Simplifying (+ (log (sqrt (/ 1 (sqrt k)))) (+ (* (log 2) (/ (- 1 k) 2)) (* (log PI) (/ (- 1 k) 2))))
1550838877.929 * * [misc]simplify:  iters left: 6 (16 enodes)
1550838877.939 * * [misc]simplify:  iters left: 5 (68 enodes)
1550838877.960 * * [misc]simplify:  iters left: 4 (115 enodes)
1550838877.992 * * [misc]simplify:  iters left: 3 (155 enodes)
1550838878.046 * * [misc]simplify:  iters left: 2 (287 enodes)
1550838878.107 * * [misc]simplify:  iters left: 1 (448 enodes)
1550838878.240 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838878.241 * * [misc]simplify:  Extracting #1: cost 28 inf + 0
1550838878.241 * * [misc]simplify:  Extracting #2: cost 122 inf + 0
1550838878.242 * * [misc]simplify:  Extracting #3: cost 153 inf + 617
1550838878.247 * * [misc]simplify:  Extracting #4: cost 100 inf + 15453
1550838878.261 * * [misc]simplify:  Extracting #5: cost 28 inf + 33635
1550838878.275 * * [misc]simplify:  Extracting #6: cost 0 inf + 44330
1550838878.289 * * [misc]simplify:  Extracting #7: cost 0 inf + 44209
1550838878.297 * [exit]simplify:  Simplified to (+ (log (sqrt (/ 1 (sqrt k)))) (/ (* (+ (log 2) (log PI)) (- 1 k)) 2))
1550838878.297 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (/ (* (+ (log 2) (log PI)) (- 1 k)) 2)))) (pow n (/ (- 1 k) 2))))
1550838878.298 * * * * [misc]progress:  [ 32 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838878.298 * [enter]simplify:  Simplifying (+ (log (sqrt (/ 1 (sqrt k)))) (+ (* (log 2) (/ (- 1 k) 2)) (log (pow PI (/ (- 1 k) 2)))))
1550838878.298 * * [misc]simplify:  iters left: 6 (16 enodes)
1550838878.303 * * [misc]simplify:  iters left: 5 (65 enodes)
1550838878.314 * * [misc]simplify:  iters left: 4 (103 enodes)
1550838878.338 * * [misc]simplify:  iters left: 3 (137 enodes)
1550838878.383 * * [misc]simplify:  iters left: 2 (213 enodes)
1550838878.424 * * [misc]simplify:  iters left: 1 (299 enodes)
1550838878.507 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838878.507 * * [misc]simplify:  Extracting #1: cost 28 inf + 0
1550838878.508 * * [misc]simplify:  Extracting #2: cost 113 inf + 0
1550838878.509 * * [misc]simplify:  Extracting #3: cost 140 inf + 353
1550838878.512 * * [misc]simplify:  Extracting #4: cost 96 inf + 10126
1550838878.520 * * [misc]simplify:  Extracting #5: cost 35 inf + 25590
1550838878.531 * * [misc]simplify:  Extracting #6: cost 5 inf + 36319
1550838878.545 * * [misc]simplify:  Extracting #7: cost 0 inf + 38885
1550838878.557 * [exit]simplify:  Simplified to (+ (log (sqrt (/ 1 (sqrt k)))) (* (/ (- 1 k) 2) (+ (log 2) (log PI))))
1550838878.557 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (* (/ (- 1 k) 2) (+ (log 2) (log PI)))))) (pow n (/ (- 1 k) 2))))
1550838878.558 * * * * [misc]progress:  [ 33 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838878.558 * [enter]simplify:  Simplifying (+ (log (sqrt (/ 1 (sqrt k)))) (+ (log (pow 2 (/ (- 1 k) 2))) (* (log PI) (/ (- 1 k) 2))))
1550838878.558 * * [misc]simplify:  iters left: 6 (16 enodes)
1550838878.562 * * [misc]simplify:  iters left: 5 (65 enodes)
1550838878.575 * * [misc]simplify:  iters left: 4 (103 enodes)
1550838878.596 * * [misc]simplify:  iters left: 3 (137 enodes)
1550838878.635 * * [misc]simplify:  iters left: 2 (213 enodes)
1550838878.706 * * [misc]simplify:  iters left: 1 (299 enodes)
1550838878.795 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838878.795 * * [misc]simplify:  Extracting #1: cost 28 inf + 0
1550838878.795 * * [misc]simplify:  Extracting #2: cost 113 inf + 0
1550838878.796 * * [misc]simplify:  Extracting #3: cost 140 inf + 464
1550838878.797 * * [misc]simplify:  Extracting #4: cost 130 inf + 3368
1550838878.799 * * [misc]simplify:  Extracting #5: cost 82 inf + 12400
1550838878.808 * * [misc]simplify:  Extracting #6: cost 29 inf + 26010
1550838878.820 * * [misc]simplify:  Extracting #7: cost 3 inf + 37138
1550838878.833 * * [misc]simplify:  Extracting #8: cost 0 inf + 38902
1550838878.847 * [exit]simplify:  Simplified to (+ (log (sqrt (/ 1 (sqrt k)))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2)))
1550838878.847 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (* (+ (log 2) (log PI)) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838878.847 * * * * [misc]progress:  [ 34 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838878.847 * [enter]simplify:  Simplifying (+ (log (sqrt (/ 1 (sqrt k)))) (+ (log (pow 2 (/ (- 1 k) 2))) (log (pow PI (/ (- 1 k) 2)))))
1550838878.847 * * [misc]simplify:  iters left: 6 (16 enodes)
1550838878.856 * * [misc]simplify:  iters left: 5 (64 enodes)
1550838878.874 * * [misc]simplify:  iters left: 4 (95 enodes)
1550838878.902 * * [misc]simplify:  iters left: 3 (121 enodes)
1550838878.933 * * [misc]simplify:  iters left: 2 (155 enodes)
1550838878.983 * * [misc]simplify:  iters left: 1 (227 enodes)
1550838879.027 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838879.027 * * [misc]simplify:  Extracting #1: cost 32 inf + 0
1550838879.028 * * [misc]simplify:  Extracting #2: cost 114 inf + 0
1550838879.028 * * [misc]simplify:  Extracting #3: cost 135 inf + 464
1550838879.029 * * [misc]simplify:  Extracting #4: cost 98 inf + 8990
1550838879.032 * * [misc]simplify:  Extracting #5: cost 47 inf + 19379
1550838879.037 * * [misc]simplify:  Extracting #6: cost 7 inf + 34934
1550838879.050 * * [misc]simplify:  Extracting #7: cost 0 inf + 38449
1550838879.063 * [exit]simplify:  Simplified to (+ (log (sqrt (/ 1 (sqrt k)))) (* (+ (log PI) (log 2)) (/ (- 1 k) 2)))
1550838879.063 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (* (+ (log PI) (log 2)) (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838879.063 * * * * [misc]progress:  [ 35 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (log (sqrt (/ 1 (sqrt k)))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838879.063 * [enter]simplify:  Simplifying (+ (log (sqrt (/ 1 (sqrt k)))) (log (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))
1550838879.064 * * [misc]simplify:  iters left: 6 (15 enodes)
1550838879.068 * * [misc]simplify:  iters left: 5 (58 enodes)
1550838879.077 * * [misc]simplify:  iters left: 4 (80 enodes)
1550838879.089 * * [misc]simplify:  iters left: 3 (102 enodes)
1550838879.109 * * [misc]simplify:  iters left: 2 (123 enodes)
1550838879.138 * * [misc]simplify:  iters left: 1 (157 enodes)
1550838879.185 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838879.185 * * [misc]simplify:  Extracting #1: cost 16 inf + 0
1550838879.185 * * [misc]simplify:  Extracting #2: cost 59 inf + 0
1550838879.185 * * [misc]simplify:  Extracting #3: cost 78 inf + 186
1550838879.186 * * [misc]simplify:  Extracting #4: cost 66 inf + 2621
1550838879.189 * * [misc]simplify:  Extracting #5: cost 25 inf + 11287
1550838879.194 * * [misc]simplify:  Extracting #6: cost 2 inf + 18953
1550838879.198 * * [misc]simplify:  Extracting #7: cost 0 inf + 19750
1550838879.203 * [exit]simplify:  Simplified to (+ (/ (- 1 k) (/ 2 (+ (log PI) (log 2)))) (log (sqrt (/ 1 (sqrt k)))))
1550838879.203 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (+ (/ (- 1 k) (/ 2 (+ (log PI) (log 2)))) (log (sqrt (/ 1 (sqrt k))))))) (pow n (/ (- 1 k) 2))))
1550838879.203 * * * * [misc]progress:  [ 36 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (exp (log (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838879.204 * * * * [misc]progress:  [ 37 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (log (exp (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838879.204 * * * * [misc]progress:  [ 38 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (cbrt (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838879.204 * [enter]simplify:  Simplifying (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (pow 2 (/ (- 1 k) 2))) (* (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))))
1550838879.204 * * [misc]simplify:  iters left: 6 (19 enodes)
1550838879.213 * * [misc]simplify:  iters left: 5 (76 enodes)
1550838879.227 * * [misc]simplify:  iters left: 4 (166 enodes)
1550838879.278 * * [misc]simplify:  iters left: 3 (450 enodes)
1550838879.604 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838879.605 * * [misc]simplify:  Extracting #1: cost 84 inf + 0
1550838879.607 * * [misc]simplify:  Extracting #2: cost 242 inf + 1
1550838879.609 * * [misc]simplify:  Extracting #3: cost 239 inf + 251
1550838879.612 * * [misc]simplify:  Extracting #4: cost 234 inf + 1066
1550838879.616 * * [misc]simplify:  Extracting #5: cost 203 inf + 13194
1550838879.651 * * [misc]simplify:  Extracting #6: cost 64 inf + 103765
1550838879.687 * * [misc]simplify:  Extracting #7: cost 0 inf + 149984
1550838879.746 * * [misc]simplify:  Extracting #8: cost 0 inf + 149864
1550838879.778 * [exit]simplify:  Simplified to (* (* (pow 2 (/ (- 1 k) 2)) (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 2)) (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (/ 1 (sqrt k))) (sqrt k)))))
1550838879.779 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (cbrt (* (* (pow 2 (/ (- 1 k) 2)) (* (pow PI (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 2)) (* (* (pow 2 (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (/ (sqrt (/ 1 (sqrt k))) (sqrt k))))))) (pow n (/ (- 1 k) 2))))
1550838879.779 * * * * [misc]progress:  [ 39 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (cbrt (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838879.779 * [enter]simplify:  Simplifying (* (* (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (sqrt (/ 1 (sqrt k)))) (* (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))
1550838879.779 * * [misc]simplify:  iters left: 6 (17 enodes)
1550838879.784 * * [misc]simplify:  iters left: 5 (71 enodes)
1550838879.799 * * [misc]simplify:  iters left: 4 (156 enodes)
1550838879.850 * * [misc]simplify:  iters left: 3 (421 enodes)
1550838880.185 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.185 * * [misc]simplify:  Extracting #1: cost 75 inf + 0
1550838880.186 * * [misc]simplify:  Extracting #2: cost 216 inf + 1
1550838880.187 * * [misc]simplify:  Extracting #3: cost 213 inf + 251
1550838880.190 * * [misc]simplify:  Extracting #4: cost 173 inf + 19599
1550838880.211 * * [misc]simplify:  Extracting #5: cost 24 inf + 113484
1550838880.268 * * [misc]simplify:  Extracting #6: cost 0 inf + 128374
1550838880.322 * * [misc]simplify:  Extracting #7: cost 0 inf + 128112
1550838880.355 * [exit]simplify:  Simplified to (* (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (/ 1 (sqrt k))) (sqrt k)))
1550838880.355 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (cbrt (* (* (* (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (* (pow PI (/ (- 1 k) 2)) (pow 2 (/ (- 1 k) 2)))) (/ (sqrt (/ 1 (sqrt k))) (sqrt k))))) (pow n (/ (- 1 k) 2))))
1550838880.355 * * * * [misc]progress:  [ 40 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (cbrt (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (cbrt (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (cbrt (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838880.355 * * * * [misc]progress:  [ 41 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (cbrt (* (* (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838880.355 * * * * [misc]progress:  [ 42 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838880.355 * * * * [misc]progress:  [ 43 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt 1) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (sqrt (sqrt k)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.355 * [enter]simplify:  Simplifying (* (sqrt 1) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2))))
1550838880.355 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838880.360 * * [misc]simplify:  iters left: 5 (34 enodes)
1550838880.365 * * [misc]simplify:  iters left: 4 (39 enodes)
1550838880.372 * * [misc]simplify:  iters left: 3 (46 enodes)
1550838880.385 * * [misc]simplify:  iters left: 2 (48 enodes)
1550838880.396 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.397 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838880.397 * * [misc]simplify:  Extracting #2: cost 9 inf + 1
1550838880.397 * * [misc]simplify:  Extracting #3: cost 1 inf + 371
1550838880.397 * * [misc]simplify:  Extracting #4: cost 0 inf + 412
1550838880.397 * [exit]simplify:  Simplified to (* (sqrt PI) (sqrt 2))
1550838880.397 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt PI) (sqrt 2)) (* (sqrt (sqrt k)) (* (pow 2 (/ k 2)) (pow PI (/ k 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.398 * [enter]simplify:  Simplifying (* (sqrt (sqrt k)) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))
1550838880.398 * * [misc]simplify:  iters left: 6 (10 enodes)
1550838880.402 * * [misc]simplify:  iters left: 5 (34 enodes)
1550838880.412 * * [misc]simplify:  iters left: 4 (42 enodes)
1550838880.423 * * [misc]simplify:  iters left: 3 (47 enodes)
1550838880.434 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.434 * * [misc]simplify:  Extracting #1: cost 8 inf + 0
1550838880.434 * * [misc]simplify:  Extracting #2: cost 18 inf + 0
1550838880.434 * * [misc]simplify:  Extracting #3: cost 19 inf + 2
1550838880.434 * * [misc]simplify:  Extracting #4: cost 18 inf + 3
1550838880.434 * * [misc]simplify:  Extracting #5: cost 12 inf + 886
1550838880.434 * * [misc]simplify:  Extracting #6: cost 2 inf + 4337
1550838880.435 * * [misc]simplify:  Extracting #7: cost 0 inf + 5083
1550838880.435 * [exit]simplify:  Simplified to (* (sqrt (sqrt k)) (* (pow PI (/ k 2)) (pow 2 (/ k 2))))
1550838880.435 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt PI) (sqrt 2)) (* (sqrt (sqrt k)) (* (pow PI (/ k 2)) (pow 2 (/ k 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.435 * * * * [misc]progress:  [ 44 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt 1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.436 * [enter]simplify:  Simplifying (* (sqrt 1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2))))
1550838880.436 * * [misc]simplify:  iters left: 6 (12 enodes)
1550838880.440 * * [misc]simplify:  iters left: 5 (47 enodes)
1550838880.447 * * [misc]simplify:  iters left: 4 (56 enodes)
1550838880.455 * * [misc]simplify:  iters left: 3 (63 enodes)
1550838880.463 * * [misc]simplify:  iters left: 2 (65 enodes)
1550838880.471 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.471 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838880.472 * * [misc]simplify:  Extracting #2: cost 10 inf + 1
1550838880.472 * * [misc]simplify:  Extracting #3: cost 9 inf + 45
1550838880.472 * * [misc]simplify:  Extracting #4: cost 12 inf + 86
1550838880.472 * * [misc]simplify:  Extracting #5: cost 11 inf + 129
1550838880.472 * * [misc]simplify:  Extracting #6: cost 5 inf + 462
1550838880.472 * * [misc]simplify:  Extracting #7: cost 1 inf + 1463
1550838880.473 * * [misc]simplify:  Extracting #8: cost 0 inf + 1837
1550838880.473 * [exit]simplify:  Simplified to (* (sqrt PI) (pow 2 (/ (- 1 k) 2)))
1550838880.473 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt PI) (pow 2 (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838880.473 * [enter]simplify:  Simplifying (* (sqrt (sqrt k)) (pow PI (/ k 2)))
1550838880.473 * * [misc]simplify:  iters left: 5 (8 enodes)
1550838880.475 * * [misc]simplify:  iters left: 4 (25 enodes)
1550838880.479 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.479 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.479 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838880.479 * * [misc]simplify:  Extracting #3: cost 12 inf + 1
1550838880.479 * * [misc]simplify:  Extracting #4: cost 10 inf + 3
1550838880.479 * * [misc]simplify:  Extracting #5: cost 8 inf + 86
1550838880.479 * * [misc]simplify:  Extracting #6: cost 1 inf + 1210
1550838880.479 * * [misc]simplify:  Extracting #7: cost 0 inf + 1583
1550838880.479 * [exit]simplify:  Simplified to (* (pow PI (/ k 2)) (sqrt (sqrt k)))
1550838880.480 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt PI) (pow 2 (/ (- 1 k) 2))) (* (pow PI (/ k 2)) (sqrt (sqrt k))))) (pow n (/ (- 1 k) 2))))
1550838880.480 * * * * [misc]progress:  [ 45 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt 1) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (* (sqrt (sqrt k)) (pow 2 (/ k 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.480 * [enter]simplify:  Simplifying (* (sqrt 1) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2))))
1550838880.480 * * [misc]simplify:  iters left: 6 (12 enodes)
1550838880.490 * * [misc]simplify:  iters left: 5 (47 enodes)
1550838880.505 * * [misc]simplify:  iters left: 4 (56 enodes)
1550838880.519 * * [misc]simplify:  iters left: 3 (63 enodes)
1550838880.535 * * [misc]simplify:  iters left: 2 (65 enodes)
1550838880.551 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.551 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838880.551 * * [misc]simplify:  Extracting #2: cost 10 inf + 1
1550838880.551 * * [misc]simplify:  Extracting #3: cost 8 inf + 86
1550838880.551 * * [misc]simplify:  Extracting #4: cost 12 inf + 86
1550838880.551 * * [misc]simplify:  Extracting #5: cost 9 inf + 212
1550838880.552 * * [misc]simplify:  Extracting #6: cost 3 inf + 1088
1550838880.553 * * [misc]simplify:  Extracting #7: cost 0 inf + 1839
1550838880.553 * [exit]simplify:  Simplified to (* (sqrt 2) (pow PI (/ (- 1 k) 2)))
1550838880.553 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow 2 (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838880.554 * [enter]simplify:  Simplifying (* (sqrt (sqrt k)) (pow 2 (/ k 2)))
1550838880.554 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838880.557 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838880.563 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.563 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.563 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838880.564 * * [misc]simplify:  Extracting #3: cost 11 inf + 1
1550838880.564 * * [misc]simplify:  Extracting #4: cost 10 inf + 2
1550838880.564 * * [misc]simplify:  Extracting #5: cost 4 inf + 672
1550838880.564 * * [misc]simplify:  Extracting #6: cost 1 inf + 1206
1550838880.564 * * [misc]simplify:  Extracting #7: cost 0 inf + 1578
1550838880.565 * [exit]simplify:  Simplified to (* (sqrt (sqrt k)) (pow 2 (/ k 2)))
1550838880.565 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt 2) (pow PI (/ (- 1 k) 2))) (* (sqrt (sqrt k)) (pow 2 (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838880.565 * * * * [misc]progress:  [ 46 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* 1 (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.565 * * * * [misc]progress:  [ 47 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (sqrt (/ 1 (sqrt k))) (pow 2 (/ (- 1 k) 2))) (pow PI (/ (- 1 k) 2)))) (pow n (/ (- 1 k) 2))))>
1550838880.565 * [enter]simplify:  Simplifying (pow PI (/ (- 1 k) 2))
1550838880.566 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838880.570 * * [misc]simplify:  iters left: 4 (29 enodes)
1550838880.579 * * [misc]simplify:  iters left: 3 (38 enodes)
1550838880.590 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.590 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.590 * * [misc]simplify:  Extracting #2: cost 8 inf + 1
1550838880.590 * * [misc]simplify:  Extracting #3: cost 11 inf + 3
1550838880.590 * * [misc]simplify:  Extracting #4: cost 4 inf + 338
1550838880.590 * * [misc]simplify:  Extracting #5: cost 0 inf + 1009
1550838880.591 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1550838880.591 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (sqrt (/ 1 (sqrt k))) (pow 2 (/ (- 1 k) 2))) (pow PI (- 1/2 (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838880.591 * * * * [misc]progress:  [ 48 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (cbrt (sqrt (/ 1 (sqrt k)))) (cbrt (sqrt (/ 1 (sqrt k))))) (* (cbrt (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.591 * [enter]simplify:  Simplifying (* (cbrt (sqrt (/ 1 (sqrt k)))) (cbrt (sqrt (/ 1 (sqrt k)))))
1550838880.591 * * [misc]simplify:  iters left: 6 (7 enodes)
1550838880.595 * * [misc]simplify:  iters left: 5 (23 enodes)
1550838880.601 * * [misc]simplify:  iters left: 4 (25 enodes)
1550838880.609 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.609 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838880.609 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838880.609 * * [misc]simplify:  Extracting #3: cost 7 inf + 0
1550838880.609 * * [misc]simplify:  Extracting #4: cost 10 inf + 0
1550838880.609 * * [misc]simplify:  Extracting #5: cost 11 inf + 1
1550838880.609 * * [misc]simplify:  Extracting #6: cost 10 inf + 2
1550838880.609 * * [misc]simplify:  Extracting #7: cost 6 inf + 248
1550838880.610 * * [misc]simplify:  Extracting #8: cost 2 inf + 936
1550838880.610 * * [misc]simplify:  Extracting #9: cost 0 inf + 1380
1550838880.611 * [exit]simplify:  Simplified to (* (cbrt (sqrt (/ 1 (sqrt k)))) (cbrt (sqrt (/ 1 (sqrt k)))))
1550838880.611 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (cbrt (sqrt (/ 1 (sqrt k)))) (cbrt (sqrt (/ 1 (sqrt k))))) (* (cbrt (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.611 * * * * [misc]progress:  [ 49 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k))))) (* (sqrt (cbrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.611 * [enter]simplify:  Simplifying (sqrt (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))))
1550838880.611 * * [misc]simplify:  iters left: 6 (7 enodes)
1550838880.614 * * [misc]simplify:  iters left: 5 (24 enodes)
1550838880.618 * * [misc]simplify:  iters left: 4 (26 enodes)
1550838880.623 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.623 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.623 * * [misc]simplify:  Extracting #2: cost 7 inf + 0
1550838880.623 * * [misc]simplify:  Extracting #3: cost 10 inf + 0
1550838880.623 * * [misc]simplify:  Extracting #4: cost 11 inf + 1
1550838880.623 * * [misc]simplify:  Extracting #5: cost 8 inf + 84
1550838880.623 * * [misc]simplify:  Extracting #6: cost 1 inf + 1178
1550838880.624 * * [misc]simplify:  Extracting #7: cost 0 inf + 1380
1550838880.624 * [exit]simplify:  Simplified to (fabs (cbrt (/ 1 (sqrt k))))
1550838880.624 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (fabs (cbrt (/ 1 (sqrt k)))) (* (sqrt (cbrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.624 * * * * [misc]progress:  [ 50 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.624 * [enter]simplify:  Simplifying (sqrt (sqrt (/ 1 (sqrt k))))
1550838880.624 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838880.626 * * [misc]simplify:  iters left: 4 (20 enodes)
1550838880.631 * * [misc]simplify:  iters left: 3 (22 enodes)
1550838880.635 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.635 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838880.635 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838880.635 * * [misc]simplify:  Extracting #3: cost 8 inf + 0
1550838880.635 * * [misc]simplify:  Extracting #4: cost 9 inf + 1
1550838880.635 * * [misc]simplify:  Extracting #5: cost 8 inf + 2
1550838880.635 * * [misc]simplify:  Extracting #6: cost 1 inf + 654
1550838880.635 * * [misc]simplify:  Extracting #7: cost 0 inf + 816
1550838880.635 * [exit]simplify:  Simplified to (sqrt (sqrt (/ 1 (sqrt k))))
1550838880.635 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.635 * * * * [misc]progress:  [ 51 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt 1) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.636 * [enter]simplify:  Simplifying (sqrt 1)
1550838880.636 * * [misc]simplify:  iters left: 1 (2 enodes)
1550838880.638 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.638 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838880.638 * [exit]simplify:  Simplified to 1
1550838880.638 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* 1 (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.638 * * * * [misc]progress:  [ 52 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt 1) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.638 * [enter]simplify:  Simplifying (sqrt 1)
1550838880.638 * * [misc]simplify:  iters left: 1 (2 enodes)
1550838880.640 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.640 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838880.640 * [exit]simplify:  Simplified to 1
1550838880.640 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* 1 (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.640 * * * * [misc]progress:  [ 53 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.640 * [enter]simplify:  Simplifying (sqrt (sqrt (/ 1 (sqrt k))))
1550838880.641 * * [misc]simplify:  iters left: 5 (6 enodes)
1550838880.645 * * [misc]simplify:  iters left: 4 (20 enodes)
1550838880.651 * * [misc]simplify:  iters left: 3 (22 enodes)
1550838880.657 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.657 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838880.657 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838880.657 * * [misc]simplify:  Extracting #3: cost 8 inf + 0
1550838880.657 * * [misc]simplify:  Extracting #4: cost 9 inf + 1
1550838880.657 * * [misc]simplify:  Extracting #5: cost 8 inf + 2
1550838880.657 * * [misc]simplify:  Extracting #6: cost 1 inf + 654
1550838880.658 * * [misc]simplify:  Extracting #7: cost 0 inf + 816
1550838880.658 * [exit]simplify:  Simplified to (sqrt (sqrt (/ 1 (sqrt k))))
1550838880.658 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))
1550838880.658 * * * * [misc]progress:  [ 54 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* 1 (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))))) (pow n (/ (- 1 k) 2))))>
1550838880.658 * * * * [misc]progress:  [ 55 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.658 * [enter]simplify:  Simplifying (* (pow 2 (/ k 2)) (pow PI (/ k 2)))
1550838880.659 * * [misc]simplify:  iters left: 5 (7 enodes)
1550838880.662 * * [misc]simplify:  iters left: 4 (22 enodes)
1550838880.668 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.668 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.668 * * [misc]simplify:  Extracting #2: cost 9 inf + 0
1550838880.668 * * [misc]simplify:  Extracting #3: cost 9 inf + 2
1550838880.668 * * [misc]simplify:  Extracting #4: cost 8 inf + 3
1550838880.668 * * [misc]simplify:  Extracting #5: cost 1 inf + 1600
1550838880.669 * * [misc]simplify:  Extracting #6: cost 0 inf + 2103
1550838880.669 * [exit]simplify:  Simplified to (* (pow 2 (/ k 2)) (pow PI (/ k 2)))
1550838880.669 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ 1 2)) (pow PI (/ 1 2)))) (* (pow 2 (/ k 2)) (pow PI (/ k 2))))) (pow n (/ (- 1 k) 2))))
1550838880.669 * * * * [misc]progress:  [ 56 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838880.670 * [enter]simplify:  Simplifying (pow PI (/ k 2))
1550838880.670 * * [misc]simplify:  iters left: 3 (5 enodes)
1550838880.672 * * [misc]simplify:  iters left: 2 (15 enodes)
1550838880.677 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.677 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.677 * * [misc]simplify:  Extracting #2: cost 6 inf + 1
1550838880.677 * * [misc]simplify:  Extracting #3: cost 0 inf + 593
1550838880.677 * [exit]simplify:  Simplified to (pow PI (/ k 2))
1550838880.677 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ 1 2)))) (pow PI (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838880.677 * * * * [misc]progress:  [ 57 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2)))) (pow n (/ (- 1 k) 2))))>
1550838880.678 * [enter]simplify:  Simplifying (pow 2 (/ k 2))
1550838880.678 * * [misc]simplify:  iters left: 3 (4 enodes)
1550838880.680 * * [misc]simplify:  iters left: 2 (12 enodes)
1550838880.683 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.683 * * [misc]simplify:  Extracting #1: cost 4 inf + 0
1550838880.683 * * [misc]simplify:  Extracting #2: cost 5 inf + 1
1550838880.683 * * [misc]simplify:  Extracting #3: cost 4 inf + 2
1550838880.683 * * [misc]simplify:  Extracting #4: cost 0 inf + 590
1550838880.684 * [exit]simplify:  Simplified to (pow 2 (/ k 2))
1550838880.684 * [misc]simplify:  Simplified (2 1 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ 1 2)) (pow PI (/ (- 1 k) 2)))) (pow 2 (/ k 2)))) (pow n (/ (- 1 k) 2))))
1550838880.684 * * * * [misc]progress:  [ 58 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (sqrt 1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2))))>
1550838880.684 * [enter]simplify:  Simplifying (* (sqrt 1) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))
1550838880.684 * * [misc]simplify:  iters left: 6 (11 enodes)
1550838880.692 * * [misc]simplify:  iters left: 5 (45 enodes)
1550838880.705 * * [misc]simplify:  iters left: 4 (55 enodes)
1550838880.719 * * [misc]simplify:  iters left: 3 (62 enodes)
1550838880.735 * * [misc]simplify:  iters left: 2 (64 enodes)
1550838880.750 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.750 * * [misc]simplify:  Extracting #1: cost 5 inf + 0
1550838880.750 * * [misc]simplify:  Extracting #2: cost 9 inf + 1
1550838880.750 * * [misc]simplify:  Extracting #3: cost 11 inf + 3
1550838880.750 * * [misc]simplify:  Extracting #4: cost 14 inf + 4
1550838880.750 * * [misc]simplify:  Extracting #5: cost 14 inf + 5
1550838880.751 * * [misc]simplify:  Extracting #6: cost 6 inf + 421
1550838880.751 * * [misc]simplify:  Extracting #7: cost 3 inf + 1301
1550838880.752 * * [misc]simplify:  Extracting #8: cost 1 inf + 2139
1550838880.753 * * [misc]simplify:  Extracting #9: cost 0 inf + 2683
1550838880.753 * [exit]simplify:  Simplified to (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))
1550838880.753 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (/ (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (sqrt k)))) (pow n (/ (- 1 k) 2))))
1550838880.754 * * * * [misc]progress:  [ 59 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (posit16->real (real->posit16 (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))))) (pow n (/ (- 1 k) 2))))>
1550838880.754 * * * * [misc]progress:  [ 60 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))) (sqrt (/ 1 (sqrt k))))) (pow n (/ (- 1 k) 2))))>
1550838880.754 * * * * [misc]progress:  [ 61 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (sqrt k) -1)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.754 * * * * [misc]progress:  [ 62 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow k (- 1/2))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.754 * [enter]simplify:  Simplifying (- 1/2)
1550838880.754 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838880.756 * * [misc]simplify:  iters left: 1 (7 enodes)
1550838880.758 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.758 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838880.758 * [exit]simplify:  Simplified to -1/2
1550838880.759 * [misc]simplify:  Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow k -1/2)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838880.759 * * * * [misc]progress:  [ 63 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (sqrt k) (- 1))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.759 * [enter]simplify:  Simplifying (- 1)
1550838880.759 * * [misc]simplify:  iters left: 2 (2 enodes)
1550838880.761 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838880.764 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.764 * * [misc]simplify:  Extracting #1: cost 0 inf + 1
1550838880.764 * [exit]simplify:  Simplified to -1
1550838880.764 * [misc]simplify:  Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (sqrt k) -1)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838880.764 * * * * [misc]progress:  [ 64 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (pow (/ 1 (sqrt k)) 1)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.764 * * * * [misc]progress:  [ 65 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (exp (- (log (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.764 * * * * [misc]progress:  [ 66 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (exp (log (/ 1 (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.764 * * * * [misc]progress:  [ 67 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (log (exp (/ 1 (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.764 * * * * [misc]progress:  [ 68 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (* (cbrt (/ 1 (sqrt k))) (cbrt (/ 1 (sqrt k)))) (cbrt (/ 1 (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.764 * * * * [misc]progress:  [ 69 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (cbrt (* (* (/ 1 (sqrt k)) (/ 1 (sqrt k))) (/ 1 (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * * * * [misc]progress:  [ 70 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * * * * [misc]progress:  [ 71 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (- 1) (- (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * * * * [misc]progress:  [ 72 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* 1 (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * * * * [misc]progress:  [ 73 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (* 1 (/ 1 (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * * * * [misc]progress:  [ 74 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (/ (sqrt k) 1))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * * * * [misc]progress:  [ 75 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.765 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1550838880.765 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838880.766 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838880.769 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.769 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838880.769 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838880.769 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838880.769 * * [misc]simplify:  Extracting #4: cost 0 inf + 325
1550838880.769 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1550838880.769 * [misc]simplify:  Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838880.769 * * * * [misc]progress:  [ 76 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.770 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1550838880.770 * * [misc]simplify:  iters left: 2 (3 enodes)
1550838880.771 * * [misc]simplify:  iters left: 1 (9 enodes)
1550838880.773 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.773 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838880.773 * * [misc]simplify:  Extracting #2: cost 5 inf + 0
1550838880.773 * * [misc]simplify:  Extracting #3: cost 4 inf + 1
1550838880.773 * * [misc]simplify:  Extracting #4: cost 0 inf + 245
1550838880.773 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1550838880.773 * [misc]simplify:  Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838880.774 * * * * [misc]progress:  [ 77 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 1) (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.774 * [enter]simplify:  Simplifying (sqrt k)
1550838880.774 * * [misc]simplify:  iters left: 1 (2 enodes)
1550838880.775 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838880.775 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838880.775 * * [misc]simplify:  Extracting #2: cost 2 inf + 1
1550838880.775 * * [misc]simplify:  Extracting #3: cost 0 inf + 83
1550838880.775 * [exit]simplify:  Simplified to (sqrt k)
1550838880.775 * [misc]simplify:  Simplified (2 1 2 1 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ (/ 1 1) (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838880.775 * * * * [misc]progress:  [ 78 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (posit16->real (real->posit16 (/ 1 (sqrt k))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838880.776 * * * * [misc]progress:  [ 79 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 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))))))) (pow n (/ (- 1 k) 2))))>
1550838880.776 * [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))))
1550838880.776 * * [misc]simplify:  iters left: 6 (18 enodes)
1550838880.788 * * [misc]simplify:  iters left: 5 (73 enodes)
1550838880.811 * * [misc]simplify:  iters left: 4 (150 enodes)
1550838880.870 * * [misc]simplify:  iters left: 3 (376 enodes)
1550838881.071 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838881.071 * * [misc]simplify:  Extracting #1: cost 11 inf + 0
1550838881.072 * * [misc]simplify:  Extracting #2: cost 116 inf + 0
1550838881.073 * * [misc]simplify:  Extracting #3: cost 170 inf + 1013
1550838881.080 * * [misc]simplify:  Extracting #4: cost 73 inf + 17952
1550838881.095 * * [misc]simplify:  Extracting #5: cost 0 inf + 33943
1550838881.111 * * [misc]simplify:  Extracting #6: cost 0 inf + 33104
1550838881.126 * * [misc]simplify:  Extracting #7: cost 0 inf + 33023
1550838881.141 * * [misc]simplify:  Extracting #8: cost 0 inf + 33022
1550838881.159 * [exit]simplify:  Simplified to (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI))
1550838881.160 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (+ (* (- (* 1/8 (* (* k (log PI)) (* k (log PI)))) (* 1/2 (* k (log PI)))) (sqrt PI)) (sqrt PI))))) (pow n (/ (- 1 k) 2))))
1550838881.160 * * * * [misc]progress:  [ 80 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (exp (* 1/2 (* (- 1 k) (log PI))))))) (pow n (/ (- 1 k) 2))))>
1550838881.160 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log PI))))
1550838881.160 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838881.165 * * [misc]simplify:  iters left: 5 (37 enodes)
1550838881.177 * * [misc]simplify:  iters left: 4 (68 enodes)
1550838881.191 * * [misc]simplify:  iters left: 3 (125 enodes)
1550838881.219 * * [misc]simplify:  iters left: 2 (255 enodes)
1550838881.287 * * [misc]simplify:  iters left: 1 (409 enodes)
1550838881.420 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838881.420 * * [misc]simplify:  Extracting #1: cost 24 inf + 0
1550838881.420 * * [misc]simplify:  Extracting #2: cost 59 inf + 186
1550838881.422 * * [misc]simplify:  Extracting #3: cost 47 inf + 5020
1550838881.427 * * [misc]simplify:  Extracting #4: cost 3 inf + 10267
1550838881.433 * * [misc]simplify:  Extracting #5: cost 0 inf + 10008
1550838881.438 * * [misc]simplify:  Extracting #6: cost 0 inf + 9811
1550838881.443 * * [misc]simplify:  Extracting #7: cost 0 inf + 9772
1550838881.448 * [exit]simplify:  Simplified to (sqrt (exp (- (log PI) (* k (log PI)))))
1550838881.448 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (sqrt (exp (- (log PI) (* k (log PI)))))))) (pow n (/ (- 1 k) 2))))
1550838881.449 * * * * [misc]progress:  [ 81 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (exp (* 1/2 (* (- 1 k) (log PI))))))) (pow n (/ (- 1 k) 2))))>
1550838881.449 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (log PI))))
1550838881.449 * * [misc]simplify:  iters left: 6 (9 enodes)
1550838881.454 * * [misc]simplify:  iters left: 5 (37 enodes)
1550838881.467 * * [misc]simplify:  iters left: 4 (68 enodes)
1550838881.490 * * [misc]simplify:  iters left: 3 (125 enodes)
1550838881.527 * * [misc]simplify:  iters left: 2 (255 enodes)
1550838881.581 * * [misc]simplify:  iters left: 1 (409 enodes)
1550838881.666 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838881.666 * * [misc]simplify:  Extracting #1: cost 24 inf + 0
1550838881.667 * * [misc]simplify:  Extracting #2: cost 59 inf + 186
1550838881.667 * * [misc]simplify:  Extracting #3: cost 47 inf + 5020
1550838881.670 * * [misc]simplify:  Extracting #4: cost 3 inf + 10267
1550838881.672 * * [misc]simplify:  Extracting #5: cost 0 inf + 10008
1550838881.675 * * [misc]simplify:  Extracting #6: cost 0 inf + 9811
1550838881.678 * * [misc]simplify:  Extracting #7: cost 0 inf + 9772
1550838881.680 * [exit]simplify:  Simplified to (sqrt (exp (- (log PI) (* k (log PI)))))
1550838881.680 * [misc]simplify:  Simplified (2 1 2 2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (sqrt (exp (- (log PI) (* k (log PI)))))))) (pow n (/ (- 1 k) 2))))
1550838881.681 * * * * [misc]progress:  [ 82 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))))>
1550838881.681 * [enter]simplify:  Simplifying (- (+ (pow n 1/2) (* 1/8 (* (sqrt n) (* (pow (log n) 2) (pow k 2))))) (* 1/2 (* (sqrt n) (* (log n) k))))
1550838881.681 * * [misc]simplify:  iters left: 6 (18 enodes)
1550838881.686 * * [misc]simplify:  iters left: 5 (73 enodes)
1550838881.702 * * [misc]simplify:  iters left: 4 (159 enodes)
1550838881.755 * * [misc]simplify:  iters left: 3 (399 enodes)
1550838881.893 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838881.893 * * [misc]simplify:  Extracting #1: cost 13 inf + 0
1550838881.893 * * [misc]simplify:  Extracting #2: cost 104 inf + 0
1550838881.895 * * [misc]simplify:  Extracting #3: cost 163 inf + 982
1550838881.902 * * [misc]simplify:  Extracting #4: cost 51 inf + 20937
1550838881.915 * * [misc]simplify:  Extracting #5: cost 3 inf + 30644
1550838881.929 * * [misc]simplify:  Extracting #6: cost 0 inf + 31349
1550838881.944 * [exit]simplify:  Simplified to (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))
1550838881.944 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))
1550838881.944 * * * * [misc]progress:  [ 83 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))))>
1550838881.944 * [enter]simplify:  Simplifying (exp (* -1/2 (* (- 1 k) (log (/ 1 n)))))
1550838881.944 * * [misc]simplify:  iters left: 6 (10 enodes)
1550838881.954 * * [misc]simplify:  iters left: 5 (44 enodes)
1550838881.969 * * [misc]simplify:  iters left: 4 (83 enodes)
1550838882.001 * * [misc]simplify:  iters left: 3 (182 enodes)
1550838882.043 * * [misc]simplify:  iters left: 2 (428 enodes)
1550838882.194 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838882.194 * * [misc]simplify:  Extracting #1: cost 39 inf + 0
1550838882.195 * * [misc]simplify:  Extracting #2: cost 130 inf + 47
1550838882.197 * * [misc]simplify:  Extracting #3: cost 111 inf + 6231
1550838882.205 * * [misc]simplify:  Extracting #4: cost 11 inf + 20877
1550838882.214 * * [misc]simplify:  Extracting #5: cost 0 inf + 22202
1550838882.223 * * [misc]simplify:  Extracting #6: cost 0 inf + 22171
1550838882.233 * [exit]simplify:  Simplified to (exp (* (- (* (log n) k) (log n)) -1/2))
1550838882.233 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (exp (* (- (* (log n) k) (log n)) -1/2))))
1550838882.233 * * * * [misc]progress:  [ 84 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))))>
1550838882.234 * [enter]simplify:  Simplifying (exp (* 1/2 (* (- 1 k) (- (log -1) (log (/ -1 n))))))
1550838882.234 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838882.241 * * [misc]simplify:  iters left: 5 (53 enodes)
1550838882.263 * * [misc]simplify:  iters left: 4 (105 enodes)
1550838882.303 * * [misc]simplify:  iters left: 3 (282 enodes)
1550838882.420 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838882.421 * * [misc]simplify:  Extracting #1: cost 21 inf + 0
1550838882.421 * * [misc]simplify:  Extracting #2: cost 101 inf + 1
1550838882.421 * * [misc]simplify:  Extracting #3: cost 143 inf + 2238
1550838882.424 * * [misc]simplify:  Extracting #4: cost 54 inf + 17429
1550838882.429 * * [misc]simplify:  Extracting #5: cost 5 inf + 28903
1550838882.435 * * [misc]simplify:  Extracting #6: cost 0 inf + 28958
1550838882.441 * [exit]simplify:  Simplified to (sqrt (exp (- (log n) (* k (log n)))))
1550838882.441 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (sqrt (exp (- (log n) (* k (log n)))))))
1550838882.441 * * * * [misc]progress:  [ 85 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (- (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (pow k 7) 1/4)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (pow k 7) 1/4)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (pow k 7) 1/4)))) (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (pow k 3) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (pow k 3) 1/4))))))) (pow n (/ (- 1 k) 2))))>
1550838882.441 * [enter]simplify:  Simplifying (- (+ (* 1/8 (* (* (pow (log 2) 2) (sqrt 2)) (* (sqrt PI) (pow (pow k 7) 1/4)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (* (sqrt PI) (pow (pow k 7) 1/4)))) (+ (* 1/4 (* (* (log 2) (* (sqrt 2) (log PI))) (* (sqrt PI) (pow (pow k 7) 1/4)))) (* (sqrt 2) (* (sqrt PI) (pow (/ 1 k) 1/4)))))) (+ (* 1/2 (* (* (sqrt 2) (log PI)) (* (sqrt PI) (pow (pow k 3) 1/4)))) (* 1/2 (* (* (log 2) (sqrt 2)) (* (sqrt PI) (pow (pow k 3) 1/4))))))
1550838882.442 * * [misc]simplify:  iters left: 6 (45 enodes)
1550838882.460 * * [misc]simplify:  iters left: 5 (210 enodes)
1550838882.511 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838882.511 * * [misc]simplify:  Extracting #1: cost 18 inf + 0
1550838882.511 * * [misc]simplify:  Extracting #2: cost 101 inf + 0
1550838882.512 * * [misc]simplify:  Extracting #3: cost 182 inf + 3
1550838882.512 * * [misc]simplify:  Extracting #4: cost 195 inf + 2860
1550838882.515 * * [misc]simplify:  Extracting #5: cost 143 inf + 21446
1550838882.522 * * [misc]simplify:  Extracting #6: cost 68 inf + 63270
1550838882.535 * * [misc]simplify:  Extracting #7: cost 9 inf + 115438
1550838882.560 * * [misc]simplify:  Extracting #8: cost 0 inf + 126565
1550838882.577 * [exit]simplify:  Simplified to (+ (+ (+ (* (* (pow (pow k 7) 1/4) (sqrt PI)) (+ (* (* 1/8 (* (log 2) (log 2))) (sqrt 2)) (* (* 1/8 (* (log PI) (log PI))) (sqrt 2)))) (* (* (pow (pow k 7) 1/4) (sqrt PI)) (* 1/4 (* (* (sqrt 2) (log 2)) (log PI))))) (* (pow (/ 1 k) 1/4) (* (sqrt PI) (sqrt 2)))) (* -1/2 (* (* (pow (* (* k k) k) 1/4) (sqrt PI)) (+ (* (log PI) (sqrt 2)) (* (sqrt 2) (log 2))))))
1550838882.577 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (+ (+ (+ (* (* (pow (pow k 7) 1/4) (sqrt PI)) (+ (* (* 1/8 (* (log 2) (log 2))) (sqrt 2)) (* (* 1/8 (* (log PI) (log PI))) (sqrt 2)))) (* (* (pow (pow k 7) 1/4) (sqrt PI)) (* 1/4 (* (* (sqrt 2) (log 2)) (log PI))))) (* (pow (/ 1 k) 1/4) (* (sqrt PI) (sqrt 2)))) (* -1/2 (* (* (pow (* (* k k) k) 1/4) (sqrt PI)) (+ (* (log PI) (sqrt 2)) (* (sqrt 2) (log 2))))))) (pow n (/ (- 1 k) 2))))
1550838882.577 * * * * [misc]progress:  [ 86 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow (/ 1 k) 1/4))) (pow n (/ (- 1 k) 2))))>
1550838882.577 * [enter]simplify:  Simplifying (* (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (pow (/ 1 k) 1/4))
1550838882.578 * * [misc]simplify:  iters left: 6 (19 enodes)
1550838882.584 * * [misc]simplify:  iters left: 5 (78 enodes)
1550838882.610 * * [misc]simplify:  iters left: 4 (145 enodes)
1550838882.661 * * [misc]simplify:  iters left: 3 (270 enodes)
1550838882.724 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838882.724 * * [misc]simplify:  Extracting #1: cost 10 inf + 0
1550838882.724 * * [misc]simplify:  Extracting #2: cost 50 inf + 0
1550838882.725 * * [misc]simplify:  Extracting #3: cost 113 inf + 76
1550838882.725 * * [misc]simplify:  Extracting #4: cost 119 inf + 3251
1550838882.728 * * [misc]simplify:  Extracting #5: cost 26 inf + 21749
1550838882.734 * * [misc]simplify:  Extracting #6: cost 3 inf + 27211
1550838882.738 * * [misc]simplify:  Extracting #7: cost 0 inf + 28170
1550838882.743 * * [misc]simplify:  Extracting #8: cost 0 inf + 28169
1550838882.752 * [exit]simplify:  Simplified to (* (exp (* (- 1/2 (* k 1/2)) (+ (log PI) (log 2)))) (pow (/ 1 k) 1/4))
1550838882.752 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (exp (* (- 1/2 (* k 1/2)) (+ (log PI) (log 2)))) (pow (/ 1 k) 1/4))) (pow n (/ (- 1 k) 2))))
1550838882.752 * * * * [misc]progress:  [ 87 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (- (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt +nan.0))) (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))))))) (pow n (/ (- 1 k) 2))))>
1550838882.753 * [enter]simplify:  Simplifying (- (* (exp (* 1/2 (* (log 2) (- 1 k)))) (* (exp (* 1/2 (* (- 1 k) (log PI)))) (sqrt +nan.0))) (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (sqrt +nan.0) (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (sqrt +nan.0) k))) (- (* +nan.0 (/ (* (exp (* 1/2 (* (log 2) (- 1 k)))) (exp (* 1/2 (* (- 1 k) (log PI))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))))))
1550838882.753 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) +nan.0) (pow n (/ (- 1 k) 2))))
1550838882.753 * * * * [misc]progress:  [ 88 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838882.753 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k))))))
1550838882.753 * [misc]simplify:  Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt +nan.0) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838882.754 * * * * [misc]progress:  [ 89 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838882.754 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3))))))))
1550838882.754 * [misc]simplify:  Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt +nan.0) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838882.754 * * * * [misc]progress:  [ 90 / 90 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))>
1550838882.754 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
1550838882.754 * [misc]simplify:  Simplified (2 1 2 1 1) to (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt +nan.0) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (pow n (/ (- 1 k) 2))))
1550838882.755 * * * [misc]progress:  adding candidates to table
1550838884.137 * [misc]progress:  [Phase 3 of 3] Extracting.
1550838884.137 * * [misc]regime:  Finding splitpoints for: (#<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (exp (* (- 1/2 (* k 1/2)) (+ (log PI) (log 2)))) (pow (/ 1 k) 1/4))) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (cbrt (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ k (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))>)
1550838884.140 * * * [misc]regime-changes:  Trying 3 branch expressions: (n (* (* 2 PI) n) k)
1550838884.140 * * * * [misc]regimes:  Trying to branch on n from (#<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (exp (* (- 1/2 (* k 1/2)) (+ (log PI) (log 2)))) (pow (/ 1 k) 1/4))) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (cbrt (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ k (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))>)
1550838884.223 * * * * [misc]regimes:  Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (exp (* (- 1/2 (* k 1/2)) (+ (log PI) (log 2)))) (pow (/ 1 k) 1/4))) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (cbrt (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ k (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))>)
1550838884.295 * * * * [misc]regimes:  Trying to branch on k from (#<alt (λ (k n) (/ (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ 1 2))) (pow (* (* 2 PI) n) (/ k 2))))> #<alt (λ (k n) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))))> #<alt (λ (k n) (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (pow (* 2 PI) (/ (- 1 k) 2))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (exp (* (- 1/2 (* k 1/2)) (+ (log PI) (log 2)))) (pow (/ 1 k) 1/4))) (pow n (/ (- 1 k) 2))))> #<alt (λ (k n) (cbrt (/ (/ (pow (* n (* PI 2)) (/ (- 1 k) 2)) (sqrt k)) (/ k (* (pow (* n (* PI 2)) (/ (- 1 k) 2)) (pow (* n (* PI 2)) (/ (- 1 k) 2)))))))> #<alt (λ (k n) (* (* (/ 1 (sqrt k)) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2)))) (/ (pow n (/ 1 2)) (pow n (/ k 2)))))> #<alt (λ (k n) (* (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1 (sqrt k))) (* (pow 2 (/ (- 1 k) 2)) (pow PI (/ (- 1 k) 2))))) (+ (* (sqrt n) (+ (* -1/2 (* k (log n))) (* (* (* k (log n)) (* k (log n))) 1/8))) (sqrt n))))>)
1550838884.373 * * * [misc]regime:  Found split indices: #<option (#s(si 2 255))>
1550838884.373 * [enter]simplify:  Simplifying (* (pow k -1/2) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1550838884.373 * * [misc]simplify:  iters left: 6 (13 enodes)
1550838884.374 * * [misc]simplify:  iters left: 5 (18 enodes)
1550838884.375 * * [misc]simplify:  Extracting #0: cost 1 inf + 0
1550838884.375 * * [misc]simplify:  Extracting #1: cost 3 inf + 0
1550838884.375 * * [misc]simplify:  Extracting #2: cost 7 inf + 0
1550838884.375 * * [misc]simplify:  Extracting #3: cost 9 inf + 2
1550838884.375 * * [misc]simplify:  Extracting #4: cost 8 inf + 216
1550838884.375 * * [misc]simplify:  Extracting #5: cost 3 inf + 385
1550838884.375 * * [misc]simplify:  Extracting #6: cost 1 inf + 843
1550838884.375 * * [misc]simplify:  Extracting #7: cost 0 inf + 1469
1550838884.375 * [exit]simplify:  Simplified to (* (pow (* (* 2 PI) n) (/ (- 1 k) 2)) (pow k -1/2))
1550838892.709 * [misc]regime-testing:  Baseline error score: 0.36556908367058777
1550838892.710 * [misc]regime-testing:  Oracle error score: 0.025189630340833817
1550838892.713 * [misc]regime-testing:  End program error score: 0.36556908367058777