62.598 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.234 * * * [progress]: [2/2] Setting up program.
0.237 * [progress]: [Phase 2 of 3] Improving.
0.237 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))))>
0.237 * [simplify]: Simplifying:
  (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
0.237 * * [simplify]: iteration 0: 13 enodes
0.241 * * [simplify]: iteration 1: 31 enodes
0.247 * * [simplify]: iteration 2: 62 enodes
0.258 * * [simplify]: iteration 3: 124 enodes
0.316 * * [simplify]: iteration 4: 327 enodes
0.626 * * [simplify]: iteration 5: 929 enodes
0.960 * * [simplify]: iteration 6: 2011 enodes
1.500 * * [simplify]: iteration complete: 2011 enodes
1.500 * * [simplify]: Extracting #0: cost 1 inf + 0
1.500 * * [simplify]: Extracting #1: cost 89 inf + 0
1.501 * * [simplify]: Extracting #2: cost 322 inf + 1
1.503 * * [simplify]: Extracting #3: cost 468 inf + 46
1.505 * * [simplify]: Extracting #4: cost 453 inf + 3452
1.511 * * [simplify]: Extracting #5: cost 339 inf + 22215
1.537 * * [simplify]: Extracting #6: cost 152 inf + 141923
1.601 * * [simplify]: Extracting #7: cost 5 inf + 283438
1.670 * * [simplify]: Extracting #8: cost 0 inf + 285235
1.747 * * [simplify]: Extracting #9: cost 0 inf + 284972
1.818 * * [simplify]: Extracting #10: cost 0 inf + 284459
1.890 * [simplify]: Simplified to:
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
1.897 * * [progress]: iteration 1 / 4
1.897 * * * [progress]: picking best candidate
1.907 * * * * [pick]: Picked  #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1.907 * * * [progress]: localizing error
1.951 * * * [progress]: generating rewritten candidates
1.951 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
1.984 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
2.012 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
2.044 * * * [progress]: generating series expansions
2.045 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
2.045 * [backup-simplify]: Simplify (pow (* (* n 2) PI) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
2.045 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
2.045 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.045 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.045 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.045 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.045 * [taylor]: Taking taylor expansion of 1/2 in k
2.045 * [backup-simplify]: Simplify 1/2 into 1/2
2.045 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.045 * [taylor]: Taking taylor expansion of 1/2 in k
2.045 * [backup-simplify]: Simplify 1/2 into 1/2
2.045 * [taylor]: Taking taylor expansion of k in k
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [backup-simplify]: Simplify 1 into 1
2.045 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.045 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.045 * [taylor]: Taking taylor expansion of 2 in k
2.045 * [backup-simplify]: Simplify 2 into 2
2.045 * [taylor]: Taking taylor expansion of (* n PI) in k
2.045 * [taylor]: Taking taylor expansion of n in k
2.045 * [backup-simplify]: Simplify n into n
2.045 * [taylor]: Taking taylor expansion of PI in k
2.045 * [backup-simplify]: Simplify PI into PI
2.045 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.046 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.046 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.046 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.047 * [backup-simplify]: Simplify (- 0) into 0
2.047 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.047 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.047 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.047 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.048 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.048 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.048 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.048 * [taylor]: Taking taylor expansion of 1/2 in n
2.048 * [backup-simplify]: Simplify 1/2 into 1/2
2.048 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.048 * [taylor]: Taking taylor expansion of 1/2 in n
2.048 * [backup-simplify]: Simplify 1/2 into 1/2
2.048 * [taylor]: Taking taylor expansion of k in n
2.048 * [backup-simplify]: Simplify k into k
2.048 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.048 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.048 * [taylor]: Taking taylor expansion of 2 in n
2.048 * [backup-simplify]: Simplify 2 into 2
2.048 * [taylor]: Taking taylor expansion of (* n PI) in n
2.048 * [taylor]: Taking taylor expansion of n in n
2.048 * [backup-simplify]: Simplify 0 into 0
2.048 * [backup-simplify]: Simplify 1 into 1
2.048 * [taylor]: Taking taylor expansion of PI in n
2.048 * [backup-simplify]: Simplify PI into PI
2.049 * [backup-simplify]: Simplify (* 0 PI) into 0
2.049 * [backup-simplify]: Simplify (* 2 0) into 0
2.051 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.052 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.054 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.054 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.054 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.054 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.055 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.056 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.058 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.058 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.058 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.058 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.058 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.058 * [taylor]: Taking taylor expansion of 1/2 in n
2.058 * [backup-simplify]: Simplify 1/2 into 1/2
2.058 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.058 * [taylor]: Taking taylor expansion of 1/2 in n
2.058 * [backup-simplify]: Simplify 1/2 into 1/2
2.058 * [taylor]: Taking taylor expansion of k in n
2.058 * [backup-simplify]: Simplify k into k
2.058 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.058 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.058 * [taylor]: Taking taylor expansion of 2 in n
2.058 * [backup-simplify]: Simplify 2 into 2
2.058 * [taylor]: Taking taylor expansion of (* n PI) in n
2.058 * [taylor]: Taking taylor expansion of n in n
2.058 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify 1 into 1
2.058 * [taylor]: Taking taylor expansion of PI in n
2.058 * [backup-simplify]: Simplify PI into PI
2.059 * [backup-simplify]: Simplify (* 0 PI) into 0
2.059 * [backup-simplify]: Simplify (* 2 0) into 0
2.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.063 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.064 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.064 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.064 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.064 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.065 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.066 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.068 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.068 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.068 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.068 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.068 * [taylor]: Taking taylor expansion of 1/2 in k
2.068 * [backup-simplify]: Simplify 1/2 into 1/2
2.068 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.068 * [taylor]: Taking taylor expansion of 1/2 in k
2.068 * [backup-simplify]: Simplify 1/2 into 1/2
2.068 * [taylor]: Taking taylor expansion of k in k
2.068 * [backup-simplify]: Simplify 0 into 0
2.068 * [backup-simplify]: Simplify 1 into 1
2.068 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.068 * [taylor]: Taking taylor expansion of (log n) in k
2.068 * [taylor]: Taking taylor expansion of n in k
2.068 * [backup-simplify]: Simplify n into n
2.068 * [backup-simplify]: Simplify (log n) into (log n)
2.068 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.068 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.068 * [taylor]: Taking taylor expansion of 2 in k
2.068 * [backup-simplify]: Simplify 2 into 2
2.068 * [taylor]: Taking taylor expansion of PI in k
2.068 * [backup-simplify]: Simplify PI into PI
2.069 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.070 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.070 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.071 * [backup-simplify]: Simplify (- 0) into 0
2.071 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.072 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.073 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.074 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.075 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.078 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.080 * [backup-simplify]: Simplify (- 0) into 0
2.081 * [backup-simplify]: Simplify (+ 0 0) into 0
2.082 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.083 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.084 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.084 * [taylor]: Taking taylor expansion of 0 in k
2.084 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify 0 into 0
2.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.085 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.087 * [backup-simplify]: Simplify (+ 0 0) into 0
2.087 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.087 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.088 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.091 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.092 * [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)))))))
2.093 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.094 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.096 * [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
2.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.097 * [backup-simplify]: Simplify (- 0) into 0
2.097 * [backup-simplify]: Simplify (+ 0 0) into 0
2.098 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.099 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.100 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.100 * [taylor]: Taking taylor expansion of 0 in k
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.102 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.104 * [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
2.104 * [backup-simplify]: Simplify (+ 0 0) into 0
2.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.105 * [backup-simplify]: Simplify (- 0) into 0
2.105 * [backup-simplify]: Simplify (+ 0 0) into 0
2.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.108 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.112 * [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)))))
2.118 * [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)))))
2.118 * [backup-simplify]: Simplify (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.118 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
2.118 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.118 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.118 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.118 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.118 * [taylor]: Taking taylor expansion of 1/2 in k
2.118 * [backup-simplify]: Simplify 1/2 into 1/2
2.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.118 * [taylor]: Taking taylor expansion of 1/2 in k
2.118 * [backup-simplify]: Simplify 1/2 into 1/2
2.118 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.118 * [taylor]: Taking taylor expansion of k in k
2.118 * [backup-simplify]: Simplify 0 into 0
2.118 * [backup-simplify]: Simplify 1 into 1
2.119 * [backup-simplify]: Simplify (/ 1 1) into 1
2.119 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.119 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.119 * [taylor]: Taking taylor expansion of 2 in k
2.119 * [backup-simplify]: Simplify 2 into 2
2.119 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.119 * [taylor]: Taking taylor expansion of PI in k
2.119 * [backup-simplify]: Simplify PI into PI
2.119 * [taylor]: Taking taylor expansion of n in k
2.119 * [backup-simplify]: Simplify n into n
2.119 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.119 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.119 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.119 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.119 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.120 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.120 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.120 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.120 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.120 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.120 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.120 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.120 * [taylor]: Taking taylor expansion of 1/2 in n
2.120 * [backup-simplify]: Simplify 1/2 into 1/2
2.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.120 * [taylor]: Taking taylor expansion of 1/2 in n
2.120 * [backup-simplify]: Simplify 1/2 into 1/2
2.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.120 * [taylor]: Taking taylor expansion of k in n
2.120 * [backup-simplify]: Simplify k into k
2.120 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.120 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.120 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.120 * [taylor]: Taking taylor expansion of 2 in n
2.120 * [backup-simplify]: Simplify 2 into 2
2.120 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.120 * [taylor]: Taking taylor expansion of PI in n
2.120 * [backup-simplify]: Simplify PI into PI
2.120 * [taylor]: Taking taylor expansion of n in n
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 1 into 1
2.121 * [backup-simplify]: Simplify (/ PI 1) into PI
2.121 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.121 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.122 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.122 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.122 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.123 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.123 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.124 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.124 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.124 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.124 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.124 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.124 * [taylor]: Taking taylor expansion of 1/2 in n
2.124 * [backup-simplify]: Simplify 1/2 into 1/2
2.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.124 * [taylor]: Taking taylor expansion of 1/2 in n
2.124 * [backup-simplify]: Simplify 1/2 into 1/2
2.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.124 * [taylor]: Taking taylor expansion of k in n
2.124 * [backup-simplify]: Simplify k into k
2.124 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.124 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.124 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.124 * [taylor]: Taking taylor expansion of 2 in n
2.124 * [backup-simplify]: Simplify 2 into 2
2.124 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.124 * [taylor]: Taking taylor expansion of PI in n
2.124 * [backup-simplify]: Simplify PI into PI
2.124 * [taylor]: Taking taylor expansion of n in n
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.125 * [backup-simplify]: Simplify (/ PI 1) into PI
2.125 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.126 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.126 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.126 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.126 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.130 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.130 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.131 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.131 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.131 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.131 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.131 * [taylor]: Taking taylor expansion of 1/2 in k
2.131 * [backup-simplify]: Simplify 1/2 into 1/2
2.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.131 * [taylor]: Taking taylor expansion of 1/2 in k
2.132 * [backup-simplify]: Simplify 1/2 into 1/2
2.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.132 * [taylor]: Taking taylor expansion of k in k
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 1 into 1
2.132 * [backup-simplify]: Simplify (/ 1 1) into 1
2.132 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.132 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.132 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.132 * [taylor]: Taking taylor expansion of 2 in k
2.132 * [backup-simplify]: Simplify 2 into 2
2.132 * [taylor]: Taking taylor expansion of PI in k
2.132 * [backup-simplify]: Simplify PI into PI
2.132 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.133 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.133 * [taylor]: Taking taylor expansion of (log n) in k
2.133 * [taylor]: Taking taylor expansion of n in k
2.133 * [backup-simplify]: Simplify n into n
2.133 * [backup-simplify]: Simplify (log n) into (log n)
2.133 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.134 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.134 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.134 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.135 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.135 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.136 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.137 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.138 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.139 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.140 * [backup-simplify]: Simplify (- 0) into 0
2.140 * [backup-simplify]: Simplify (+ 0 0) into 0
2.141 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.142 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.143 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.143 * [taylor]: Taking taylor expansion of 0 in k
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.143 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.144 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.146 * [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
2.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.147 * [backup-simplify]: Simplify (- 0) into 0
2.147 * [backup-simplify]: Simplify (+ 0 0) into 0
2.149 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.150 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.153 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.153 * [taylor]: Taking taylor expansion of 0 in k
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.153 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.162 * [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
2.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.163 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.164 * [backup-simplify]: Simplify (- 0) into 0
2.164 * [backup-simplify]: Simplify (+ 0 0) into 0
2.166 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.168 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.170 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.170 * [taylor]: Taking taylor expansion of 0 in k
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
2.172 * [backup-simplify]: Simplify (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))
2.172 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
2.172 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.172 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.172 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.172 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.172 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.172 * [taylor]: Taking taylor expansion of 1/2 in k
2.172 * [backup-simplify]: Simplify 1/2 into 1/2
2.172 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.172 * [taylor]: Taking taylor expansion of k in k
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.173 * [backup-simplify]: Simplify (/ 1 1) into 1
2.173 * [taylor]: Taking taylor expansion of 1/2 in k
2.173 * [backup-simplify]: Simplify 1/2 into 1/2
2.173 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.173 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.173 * [taylor]: Taking taylor expansion of -2 in k
2.173 * [backup-simplify]: Simplify -2 into -2
2.173 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.173 * [taylor]: Taking taylor expansion of PI in k
2.173 * [backup-simplify]: Simplify PI into PI
2.173 * [taylor]: Taking taylor expansion of n in k
2.173 * [backup-simplify]: Simplify n into n
2.173 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.173 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.173 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.174 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.174 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.174 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.174 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.174 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.174 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.174 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.174 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.174 * [taylor]: Taking taylor expansion of 1/2 in n
2.175 * [backup-simplify]: Simplify 1/2 into 1/2
2.175 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.175 * [taylor]: Taking taylor expansion of k in n
2.175 * [backup-simplify]: Simplify k into k
2.175 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.175 * [taylor]: Taking taylor expansion of 1/2 in n
2.175 * [backup-simplify]: Simplify 1/2 into 1/2
2.175 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.175 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.175 * [taylor]: Taking taylor expansion of -2 in n
2.175 * [backup-simplify]: Simplify -2 into -2
2.175 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.175 * [taylor]: Taking taylor expansion of PI in n
2.175 * [backup-simplify]: Simplify PI into PI
2.175 * [taylor]: Taking taylor expansion of n in n
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify (/ PI 1) into PI
2.176 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.177 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.177 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.177 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.179 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.180 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.181 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.181 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.181 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.181 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.181 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.181 * [taylor]: Taking taylor expansion of 1/2 in n
2.181 * [backup-simplify]: Simplify 1/2 into 1/2
2.181 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.181 * [taylor]: Taking taylor expansion of k in n
2.181 * [backup-simplify]: Simplify k into k
2.182 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.182 * [taylor]: Taking taylor expansion of 1/2 in n
2.182 * [backup-simplify]: Simplify 1/2 into 1/2
2.182 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.182 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.182 * [taylor]: Taking taylor expansion of -2 in n
2.182 * [backup-simplify]: Simplify -2 into -2
2.182 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.182 * [taylor]: Taking taylor expansion of PI in n
2.182 * [backup-simplify]: Simplify PI into PI
2.182 * [taylor]: Taking taylor expansion of n in n
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (/ PI 1) into PI
2.183 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.184 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.184 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.184 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.186 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.187 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.188 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.188 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.188 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.188 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.188 * [taylor]: Taking taylor expansion of 1/2 in k
2.188 * [backup-simplify]: Simplify 1/2 into 1/2
2.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.188 * [taylor]: Taking taylor expansion of k in k
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 1 into 1
2.189 * [backup-simplify]: Simplify (/ 1 1) into 1
2.189 * [taylor]: Taking taylor expansion of 1/2 in k
2.189 * [backup-simplify]: Simplify 1/2 into 1/2
2.189 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.189 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.189 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.189 * [taylor]: Taking taylor expansion of -2 in k
2.189 * [backup-simplify]: Simplify -2 into -2
2.189 * [taylor]: Taking taylor expansion of PI in k
2.189 * [backup-simplify]: Simplify PI into PI
2.190 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.191 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.191 * [taylor]: Taking taylor expansion of (log n) in k
2.191 * [taylor]: Taking taylor expansion of n in k
2.191 * [backup-simplify]: Simplify n into n
2.191 * [backup-simplify]: Simplify (log n) into (log n)
2.191 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.192 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.192 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.193 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.194 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.195 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.196 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.198 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.200 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.201 * [backup-simplify]: Simplify (+ 0 0) into 0
2.203 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.204 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.206 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.206 * [taylor]: Taking taylor expansion of 0 in k
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.206 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.208 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.212 * [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
2.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.213 * [backup-simplify]: Simplify (+ 0 0) into 0
2.215 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.216 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.219 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.219 * [taylor]: Taking taylor expansion of 0 in k
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.219 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.222 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.228 * [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
2.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.230 * [backup-simplify]: Simplify (+ 0 0) into 0
2.232 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.234 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
2.237 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.237 * [taylor]: Taking taylor expansion of 0 in k
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
2.238 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.238 * [backup-simplify]: Simplify (* (* n 2) PI) into (* 2 (* n PI))
2.238 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
2.238 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.238 * [taylor]: Taking taylor expansion of 2 in n
2.238 * [backup-simplify]: Simplify 2 into 2
2.238 * [taylor]: Taking taylor expansion of (* n PI) in n
2.238 * [taylor]: Taking taylor expansion of n in n
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 1 into 1
2.238 * [taylor]: Taking taylor expansion of PI in n
2.238 * [backup-simplify]: Simplify PI into PI
2.238 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.239 * [taylor]: Taking taylor expansion of 2 in n
2.239 * [backup-simplify]: Simplify 2 into 2
2.239 * [taylor]: Taking taylor expansion of (* n PI) in n
2.239 * [taylor]: Taking taylor expansion of n in n
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 1 into 1
2.239 * [taylor]: Taking taylor expansion of PI in n
2.239 * [backup-simplify]: Simplify PI into PI
2.239 * [backup-simplify]: Simplify (* 0 PI) into 0
2.240 * [backup-simplify]: Simplify (* 2 0) into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.243 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.243 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.246 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.246 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.248 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.251 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.251 * [backup-simplify]: Simplify 0 into 0
2.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.254 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
2.254 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.258 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
2.258 * [backup-simplify]: Simplify 0 into 0
2.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
2.262 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
2.262 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify (* (* 2 PI) n) into (* 2 (* n PI))
2.263 * [backup-simplify]: Simplify (* (* (/ 1 n) 2) PI) into (* 2 (/ PI n))
2.263 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
2.263 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.263 * [taylor]: Taking taylor expansion of 2 in n
2.263 * [backup-simplify]: Simplify 2 into 2
2.263 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.263 * [taylor]: Taking taylor expansion of PI in n
2.263 * [backup-simplify]: Simplify PI into PI
2.263 * [taylor]: Taking taylor expansion of n in n
2.263 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (/ PI 1) into PI
2.264 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.264 * [taylor]: Taking taylor expansion of 2 in n
2.264 * [backup-simplify]: Simplify 2 into 2
2.264 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.264 * [taylor]: Taking taylor expansion of PI in n
2.264 * [backup-simplify]: Simplify PI into PI
2.264 * [taylor]: Taking taylor expansion of n in n
2.264 * [backup-simplify]: Simplify 0 into 0
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [backup-simplify]: Simplify (/ PI 1) into PI
2.265 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.266 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.273 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.273 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.275 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.275 * [backup-simplify]: Simplify 0 into 0
2.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.278 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.278 * [backup-simplify]: Simplify 0 into 0
2.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.280 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.280 * [backup-simplify]: Simplify 0 into 0
2.281 * [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
2.283 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.283 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
2.284 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) 2) PI) into (* -2 (/ PI n))
2.284 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
2.284 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.284 * [taylor]: Taking taylor expansion of -2 in n
2.284 * [backup-simplify]: Simplify -2 into -2
2.284 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.284 * [taylor]: Taking taylor expansion of PI in n
2.284 * [backup-simplify]: Simplify PI into PI
2.284 * [taylor]: Taking taylor expansion of n in n
2.284 * [backup-simplify]: Simplify 0 into 0
2.284 * [backup-simplify]: Simplify 1 into 1
2.285 * [backup-simplify]: Simplify (/ PI 1) into PI
2.285 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.285 * [taylor]: Taking taylor expansion of -2 in n
2.285 * [backup-simplify]: Simplify -2 into -2
2.285 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.285 * [taylor]: Taking taylor expansion of PI in n
2.285 * [backup-simplify]: Simplify PI into PI
2.285 * [taylor]: Taking taylor expansion of n in n
2.285 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify 1 into 1
2.285 * [backup-simplify]: Simplify (/ PI 1) into PI
2.286 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.287 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.288 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.290 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.290 * [backup-simplify]: Simplify 0 into 0
2.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.292 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.292 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.293 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.293 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.295 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
2.295 * [backup-simplify]: Simplify 0 into 0
2.296 * [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
2.296 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
2.296 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
2.297 * * * * [progress]: [ 3 / 3 ] generating series at (2)
2.297 * [backup-simplify]: Simplify (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))))
2.297 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
2.297 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
2.297 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.297 * [taylor]: Taking taylor expansion of k in k
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [backup-simplify]: Simplify (/ 1 1) into 1
2.298 * [backup-simplify]: Simplify (sqrt 0) into 0
2.299 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.299 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
2.299 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
2.299 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
2.299 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.299 * [taylor]: Taking taylor expansion of 1/2 in k
2.299 * [backup-simplify]: Simplify 1/2 into 1/2
2.299 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.299 * [taylor]: Taking taylor expansion of 1/2 in k
2.299 * [backup-simplify]: Simplify 1/2 into 1/2
2.299 * [taylor]: Taking taylor expansion of k in k
2.299 * [backup-simplify]: Simplify 0 into 0
2.299 * [backup-simplify]: Simplify 1 into 1
2.299 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k
2.299 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k
2.299 * [taylor]: Taking taylor expansion of 2 in k
2.299 * [backup-simplify]: Simplify 2 into 2
2.299 * [taylor]: Taking taylor expansion of (* n PI) in k
2.299 * [taylor]: Taking taylor expansion of n in k
2.299 * [backup-simplify]: Simplify n into n
2.299 * [taylor]: Taking taylor expansion of PI in k
2.299 * [backup-simplify]: Simplify PI into PI
2.299 * [backup-simplify]: Simplify (* n PI) into (* n PI)
2.299 * [backup-simplify]: Simplify (* 2 (* n PI)) into (* 2 (* n PI))
2.299 * [backup-simplify]: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
2.299 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.300 * [backup-simplify]: Simplify (- 0) into 0
2.300 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.300 * [backup-simplify]: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
2.300 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
2.300 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.300 * [taylor]: Taking taylor expansion of k in n
2.300 * [backup-simplify]: Simplify k into k
2.300 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.300 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.300 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.300 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.300 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.300 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.300 * [taylor]: Taking taylor expansion of 1/2 in n
2.300 * [backup-simplify]: Simplify 1/2 into 1/2
2.300 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.300 * [taylor]: Taking taylor expansion of 1/2 in n
2.300 * [backup-simplify]: Simplify 1/2 into 1/2
2.300 * [taylor]: Taking taylor expansion of k in n
2.300 * [backup-simplify]: Simplify k into k
2.300 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.300 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.300 * [taylor]: Taking taylor expansion of 2 in n
2.300 * [backup-simplify]: Simplify 2 into 2
2.300 * [taylor]: Taking taylor expansion of (* n PI) in n
2.300 * [taylor]: Taking taylor expansion of n in n
2.300 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify 1 into 1
2.301 * [taylor]: Taking taylor expansion of PI in n
2.301 * [backup-simplify]: Simplify PI into PI
2.301 * [backup-simplify]: Simplify (* 0 PI) into 0
2.301 * [backup-simplify]: Simplify (* 2 0) into 0
2.302 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.303 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.304 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.304 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.304 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.304 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.305 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.305 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.306 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.306 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
2.306 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
2.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.306 * [taylor]: Taking taylor expansion of k in n
2.306 * [backup-simplify]: Simplify k into k
2.306 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.306 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
2.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
2.306 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
2.306 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
2.306 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
2.306 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
2.306 * [taylor]: Taking taylor expansion of 1/2 in n
2.306 * [backup-simplify]: Simplify 1/2 into 1/2
2.306 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
2.306 * [taylor]: Taking taylor expansion of 1/2 in n
2.306 * [backup-simplify]: Simplify 1/2 into 1/2
2.306 * [taylor]: Taking taylor expansion of k in n
2.306 * [backup-simplify]: Simplify k into k
2.306 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n
2.306 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n
2.307 * [taylor]: Taking taylor expansion of 2 in n
2.307 * [backup-simplify]: Simplify 2 into 2
2.307 * [taylor]: Taking taylor expansion of (* n PI) in n
2.307 * [taylor]: Taking taylor expansion of n in n
2.307 * [backup-simplify]: Simplify 0 into 0
2.307 * [backup-simplify]: Simplify 1 into 1
2.307 * [taylor]: Taking taylor expansion of PI in n
2.307 * [backup-simplify]: Simplify PI into PI
2.307 * [backup-simplify]: Simplify (* 0 PI) into 0
2.307 * [backup-simplify]: Simplify (* 2 0) into 0
2.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI
2.309 * [backup-simplify]: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
2.310 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.310 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
2.310 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
2.310 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
2.311 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.311 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))
2.312 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))
2.313 * [backup-simplify]: Simplify (* (sqrt (/ 1 k)) (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k)))
2.313 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
2.313 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
2.313 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
2.313 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
2.313 * [taylor]: Taking taylor expansion of 1/2 in k
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
2.313 * [taylor]: Taking taylor expansion of 1/2 in k
2.313 * [backup-simplify]: Simplify 1/2 into 1/2
2.313 * [taylor]: Taking taylor expansion of k in k
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
2.313 * [taylor]: Taking taylor expansion of (log n) in k
2.313 * [taylor]: Taking taylor expansion of n in k
2.313 * [backup-simplify]: Simplify n into n
2.313 * [backup-simplify]: Simplify (log n) into (log n)
2.313 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.313 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.313 * [taylor]: Taking taylor expansion of 2 in k
2.313 * [backup-simplify]: Simplify 2 into 2
2.313 * [taylor]: Taking taylor expansion of PI in k
2.313 * [backup-simplify]: Simplify PI into PI
2.314 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.314 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.315 * [backup-simplify]: Simplify (* 1/2 0) into 0
2.315 * [backup-simplify]: Simplify (- 0) into 0
2.315 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.316 * [backup-simplify]: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.317 * [backup-simplify]: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
2.317 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
2.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
2.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.317 * [taylor]: Taking taylor expansion of k in k
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 1 into 1
2.318 * [backup-simplify]: Simplify (/ 1 1) into 1
2.318 * [backup-simplify]: Simplify (sqrt 0) into 0
2.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.319 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
2.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
2.322 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.322 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
2.322 * [backup-simplify]: Simplify (- 0) into 0
2.322 * [backup-simplify]: Simplify (+ 0 0) into 0
2.324 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.325 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
2.326 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.327 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
2.327 * [taylor]: Taking taylor expansion of 0 in k
2.327 * [backup-simplify]: Simplify 0 into 0
2.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
2.329 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.331 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
2.332 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.332 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
2.336 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.340 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.341 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) into (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
2.343 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
2.346 * [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
2.347 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
2.347 * [backup-simplify]: Simplify (- 0) into 0
2.347 * [backup-simplify]: Simplify (+ 0 0) into 0
2.349 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.350 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.352 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.353 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
2.354 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
2.355 * [taylor]: Taking taylor expansion of 0 in k
2.355 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.358 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.360 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
2.361 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.364 * [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
2.364 * [backup-simplify]: Simplify (+ 0 0) into 0
2.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
2.365 * [backup-simplify]: Simplify (- 0) into 0
2.366 * [backup-simplify]: Simplify (+ 0 0) into 0
2.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
2.371 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
2.380 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.387 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))
2.388 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
2.389 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
2.395 * [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
2.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
2.396 * [backup-simplify]: Simplify (- 0) into 0
2.397 * [backup-simplify]: Simplify (+ 0 0) into 0
2.398 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
2.400 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.402 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
2.405 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))))) into 0
2.405 * [taylor]: Taking taylor expansion of 0 in k
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.405 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.412 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
2.414 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.419 * [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
2.419 * [backup-simplify]: Simplify (+ 0 0) into 0
2.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.420 * [backup-simplify]: Simplify (- 0) into 0
2.421 * [backup-simplify]: Simplify (+ 0 0) into 0
2.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
2.429 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI)))))))
2.444 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) +nan.0) (+ (* (* -1 (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) +nan.0) (+ (* (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))) +nan.0) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (pow (log n) 2) (log (* 2 PI)))) (+ (* 1/16 (* (log n) (pow (log (* 2 PI)) 2))) (* 1/48 (pow (log (* 2 PI)) 3))))) (exp (* 1/2 (+ (log n) (log (* 2 PI))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.454 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n))))))))))))))
2.471 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log (* 2 PI)) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (log n) 2))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (log (* 2 PI))))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log (* 2 PI)))) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (log n)))))))) (* k 1)) (- (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
2.472 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 n) 2) PI) (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))
2.472 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
2.472 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
2.472 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.472 * [taylor]: Taking taylor expansion of k in k
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify 1 into 1
2.472 * [backup-simplify]: Simplify (sqrt 0) into 0
2.474 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.474 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
2.474 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
2.474 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
2.474 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.474 * [taylor]: Taking taylor expansion of 1/2 in k
2.474 * [backup-simplify]: Simplify 1/2 into 1/2
2.474 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.474 * [taylor]: Taking taylor expansion of 1/2 in k
2.474 * [backup-simplify]: Simplify 1/2 into 1/2
2.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.474 * [taylor]: Taking taylor expansion of k in k
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (/ 1 1) into 1
2.474 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k
2.474 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k
2.474 * [taylor]: Taking taylor expansion of 2 in k
2.474 * [backup-simplify]: Simplify 2 into 2
2.474 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.474 * [taylor]: Taking taylor expansion of PI in k
2.474 * [backup-simplify]: Simplify PI into PI
2.474 * [taylor]: Taking taylor expansion of n in k
2.474 * [backup-simplify]: Simplify n into n
2.474 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.475 * [backup-simplify]: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
2.475 * [backup-simplify]: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
2.475 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.475 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.476 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.476 * [backup-simplify]: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
2.476 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))
2.476 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.476 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.476 * [taylor]: Taking taylor expansion of k in n
2.476 * [backup-simplify]: Simplify k into k
2.476 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.476 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.476 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.476 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.476 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.476 * [taylor]: Taking taylor expansion of 1/2 in n
2.476 * [backup-simplify]: Simplify 1/2 into 1/2
2.476 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.476 * [taylor]: Taking taylor expansion of 1/2 in n
2.476 * [backup-simplify]: Simplify 1/2 into 1/2
2.476 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.477 * [taylor]: Taking taylor expansion of k in n
2.477 * [backup-simplify]: Simplify k into k
2.477 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.477 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.477 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.477 * [taylor]: Taking taylor expansion of 2 in n
2.477 * [backup-simplify]: Simplify 2 into 2
2.477 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.477 * [taylor]: Taking taylor expansion of PI in n
2.477 * [backup-simplify]: Simplify PI into PI
2.477 * [taylor]: Taking taylor expansion of n in n
2.477 * [backup-simplify]: Simplify 0 into 0
2.477 * [backup-simplify]: Simplify 1 into 1
2.477 * [backup-simplify]: Simplify (/ PI 1) into PI
2.478 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.479 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.479 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.479 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.479 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.480 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.481 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.482 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.482 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
2.482 * [taylor]: Taking taylor expansion of (sqrt k) in n
2.482 * [taylor]: Taking taylor expansion of k in n
2.482 * [backup-simplify]: Simplify k into k
2.482 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
2.482 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
2.483 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
2.483 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
2.483 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
2.483 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
2.483 * [taylor]: Taking taylor expansion of 1/2 in n
2.483 * [backup-simplify]: Simplify 1/2 into 1/2
2.483 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.483 * [taylor]: Taking taylor expansion of 1/2 in n
2.483 * [backup-simplify]: Simplify 1/2 into 1/2
2.483 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.483 * [taylor]: Taking taylor expansion of k in n
2.483 * [backup-simplify]: Simplify k into k
2.483 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.483 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n
2.483 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n
2.483 * [taylor]: Taking taylor expansion of 2 in n
2.483 * [backup-simplify]: Simplify 2 into 2
2.483 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.483 * [taylor]: Taking taylor expansion of PI in n
2.483 * [backup-simplify]: Simplify PI into PI
2.483 * [taylor]: Taking taylor expansion of n in n
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (/ PI 1) into PI
2.484 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.485 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.485 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.485 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
2.485 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
2.486 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.488 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))
2.489 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.490 * [backup-simplify]: Simplify (* (sqrt k) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k))
2.490 * [taylor]: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
2.490 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
2.490 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
2.490 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
2.490 * [taylor]: Taking taylor expansion of 1/2 in k
2.490 * [backup-simplify]: Simplify 1/2 into 1/2
2.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.490 * [taylor]: Taking taylor expansion of 1/2 in k
2.490 * [backup-simplify]: Simplify 1/2 into 1/2
2.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.490 * [taylor]: Taking taylor expansion of k in k
2.490 * [backup-simplify]: Simplify 0 into 0
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify (/ 1 1) into 1
2.491 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
2.491 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k
2.491 * [taylor]: Taking taylor expansion of (* 2 PI) in k
2.491 * [taylor]: Taking taylor expansion of 2 in k
2.491 * [backup-simplify]: Simplify 2 into 2
2.491 * [taylor]: Taking taylor expansion of PI in k
2.491 * [backup-simplify]: Simplify PI into PI
2.491 * [backup-simplify]: Simplify (* 2 PI) into (* 2 PI)
2.492 * [backup-simplify]: Simplify (log (* 2 PI)) into (log (* 2 PI))
2.492 * [taylor]: Taking taylor expansion of (log n) in k
2.492 * [taylor]: Taking taylor expansion of n in k
2.492 * [backup-simplify]: Simplify n into n
2.492 * [backup-simplify]: Simplify (log n) into (log n)
2.493 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.493 * [backup-simplify]: Simplify (- 1/2) into -1/2
2.493 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
2.493 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.494 * [backup-simplify]: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
2.495 * [backup-simplify]: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
2.497 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))
2.497 * [taylor]: Taking taylor expansion of (sqrt k) in k
2.497 * [taylor]: Taking taylor expansion of k in k
2.497 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify 1 into 1
2.497 * [backup-simplify]: Simplify (sqrt 0) into 0
2.498 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.499 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
2.499 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 PI)) into 0
2.503 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.504 * [backup-simplify]: Simplify (- 0) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.510 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
2.511 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.513 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
2.513 * [taylor]: Taking taylor expansion of 0 in k
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.515 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
2.520 * [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
2.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.522 * [backup-simplify]: Simplify (- 0) into 0
2.522 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.525 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
2.527 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.528 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
2.529 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
2.529 * [taylor]: Taking taylor expansion of 0 in k
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.529 * [backup-simplify]: Simplify 0 into 0
2.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.534 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.535 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.537 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
2.542 * [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
2.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
2.543 * [backup-simplify]: Simplify (- 0) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.545 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
2.547 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
2.549 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
2.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
2.552 * [backup-simplify]: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0
2.552 * [taylor]: Taking taylor expansion of 0 in k
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.557 * [backup-simplify]: Simplify (+ (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.558 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))
2.562 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
2.563 * [backup-simplify]: Simplify (/ (pow (* (* (/ 1 (- n)) 2) PI) (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
2.563 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
2.563 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
2.563 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
2.563 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
2.563 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
2.563 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.563 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.563 * [taylor]: Taking taylor expansion of 1/2 in k
2.563 * [backup-simplify]: Simplify 1/2 into 1/2
2.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.563 * [taylor]: Taking taylor expansion of k in k
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.563 * [backup-simplify]: Simplify (/ 1 1) into 1
2.563 * [taylor]: Taking taylor expansion of 1/2 in k
2.563 * [backup-simplify]: Simplify 1/2 into 1/2
2.563 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k
2.563 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k
2.563 * [taylor]: Taking taylor expansion of -2 in k
2.563 * [backup-simplify]: Simplify -2 into -2
2.563 * [taylor]: Taking taylor expansion of (/ PI n) in k
2.563 * [taylor]: Taking taylor expansion of PI in k
2.564 * [backup-simplify]: Simplify PI into PI
2.564 * [taylor]: Taking taylor expansion of n in k
2.564 * [backup-simplify]: Simplify n into n
2.564 * [backup-simplify]: Simplify (/ PI n) into (/ PI n)
2.564 * [backup-simplify]: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
2.564 * [backup-simplify]: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
2.564 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.565 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.565 * [backup-simplify]: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
2.565 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) into (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))
2.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.565 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.565 * [taylor]: Taking taylor expansion of -1 in k
2.565 * [backup-simplify]: Simplify -1 into -1
2.565 * [taylor]: Taking taylor expansion of k in k
2.565 * [backup-simplify]: Simplify 0 into 0
2.565 * [backup-simplify]: Simplify 1 into 1
2.566 * [backup-simplify]: Simplify (/ -1 1) into -1
2.566 * [backup-simplify]: Simplify (sqrt 0) into 0
2.567 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.567 * [backup-simplify]: Simplify (/ (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))
2.567 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.567 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.567 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.567 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.567 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.567 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.567 * [taylor]: Taking taylor expansion of 1/2 in n
2.567 * [backup-simplify]: Simplify 1/2 into 1/2
2.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.568 * [taylor]: Taking taylor expansion of k in n
2.568 * [backup-simplify]: Simplify k into k
2.568 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.568 * [taylor]: Taking taylor expansion of 1/2 in n
2.568 * [backup-simplify]: Simplify 1/2 into 1/2
2.568 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.568 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.568 * [taylor]: Taking taylor expansion of -2 in n
2.568 * [backup-simplify]: Simplify -2 into -2
2.568 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.568 * [taylor]: Taking taylor expansion of PI in n
2.568 * [backup-simplify]: Simplify PI into PI
2.568 * [taylor]: Taking taylor expansion of n in n
2.568 * [backup-simplify]: Simplify 0 into 0
2.568 * [backup-simplify]: Simplify 1 into 1
2.568 * [backup-simplify]: Simplify (/ PI 1) into PI
2.569 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.570 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.570 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.570 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.571 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.572 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.573 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.574 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.574 * [taylor]: Taking taylor expansion of -1 in n
2.574 * [backup-simplify]: Simplify -1 into -1
2.574 * [taylor]: Taking taylor expansion of k in n
2.574 * [backup-simplify]: Simplify k into k
2.574 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.574 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.574 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.575 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.575 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
2.575 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
2.575 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
2.575 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
2.575 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
2.575 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
2.575 * [taylor]: Taking taylor expansion of 1/2 in n
2.575 * [backup-simplify]: Simplify 1/2 into 1/2
2.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n
2.575 * [taylor]: Taking taylor expansion of k in n
2.575 * [backup-simplify]: Simplify k into k
2.575 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
2.575 * [taylor]: Taking taylor expansion of 1/2 in n
2.575 * [backup-simplify]: Simplify 1/2 into 1/2
2.575 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n
2.575 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n
2.575 * [taylor]: Taking taylor expansion of -2 in n
2.575 * [backup-simplify]: Simplify -2 into -2
2.575 * [taylor]: Taking taylor expansion of (/ PI n) in n
2.575 * [taylor]: Taking taylor expansion of PI in n
2.575 * [backup-simplify]: Simplify PI into PI
2.575 * [taylor]: Taking taylor expansion of n in n
2.575 * [backup-simplify]: Simplify 0 into 0
2.575 * [backup-simplify]: Simplify 1 into 1
2.576 * [backup-simplify]: Simplify (/ PI 1) into PI
2.576 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.577 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.577 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
2.577 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
2.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.578 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))
2.579 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.579 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
2.579 * [taylor]: Taking taylor expansion of (/ -1 k) in n
2.579 * [taylor]: Taking taylor expansion of -1 in n
2.579 * [backup-simplify]: Simplify -1 into -1
2.579 * [taylor]: Taking taylor expansion of k in n
2.579 * [backup-simplify]: Simplify k into k
2.579 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
2.579 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
2.579 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
2.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
2.580 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) into (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k)))
2.580 * [taylor]: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
2.580 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
2.580 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
2.580 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
2.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
2.580 * [taylor]: Taking taylor expansion of 1/2 in k
2.580 * [backup-simplify]: Simplify 1/2 into 1/2
2.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k
2.580 * [taylor]: Taking taylor expansion of k in k
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.581 * [backup-simplify]: Simplify (/ 1 1) into 1
2.581 * [taylor]: Taking taylor expansion of 1/2 in k
2.581 * [backup-simplify]: Simplify 1/2 into 1/2
2.581 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
2.581 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k
2.581 * [taylor]: Taking taylor expansion of (* -2 PI) in k
2.581 * [taylor]: Taking taylor expansion of -2 in k
2.581 * [backup-simplify]: Simplify -2 into -2
2.581 * [taylor]: Taking taylor expansion of PI in k
2.581 * [backup-simplify]: Simplify PI into PI
2.581 * [backup-simplify]: Simplify (* -2 PI) into (* -2 PI)
2.582 * [backup-simplify]: Simplify (log (* -2 PI)) into (log (* -2 PI))
2.582 * [taylor]: Taking taylor expansion of (log n) in k
2.582 * [taylor]: Taking taylor expansion of n in k
2.582 * [backup-simplify]: Simplify n into n
2.582 * [backup-simplify]: Simplify (log n) into (log n)
2.582 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
2.582 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
2.582 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
2.583 * [backup-simplify]: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
2.584 * [backup-simplify]: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
2.584 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))
2.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
2.584 * [taylor]: Taking taylor expansion of (/ -1 k) in k
2.584 * [taylor]: Taking taylor expansion of -1 in k
2.584 * [backup-simplify]: Simplify -1 into -1
2.584 * [taylor]: Taking taylor expansion of k in k
2.584 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify 1 into 1
2.585 * [backup-simplify]: Simplify (/ -1 1) into -1
2.585 * [backup-simplify]: Simplify (sqrt 0) into 0
2.586 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
2.587 * [backup-simplify]: Simplify (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) +nan.0) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.587 * [backup-simplify]: Simplify (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))
2.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
2.588 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 PI)) into 0
2.589 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
2.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
2.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
2.590 * [backup-simplify]: Simplify (+ 0 0) into 0
2.591 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.592 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
2.593 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.594 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
2.594 * [taylor]: Taking taylor expansion of 0 in k
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify 0 into 0
2.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.596 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.597 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.598 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.599 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
2.601 * [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
2.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
2.602 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
2.604 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
2.605 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
2.606 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
2.606 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
2.607 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
2.607 * [taylor]: Taking taylor expansion of 0 in k
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.607 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.610 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
2.613 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.617 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))
2.621 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.621 * * * [progress]: simplifying candidates
2.621 * * * * [progress]: [ 1 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 2 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 3 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 4 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 5 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 6 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 7 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 8 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
2.621 * * * * [progress]: [ 9 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 10 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
2.621 * * * * [progress]: [ 11 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.622 * * * * [progress]: [ 12 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))>
2.622 * * * * [progress]: [ 13 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k)))>
2.622 * * * * [progress]: [ 14 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.622 * * * * [progress]: [ 15 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.622 * * * * [progress]: [ 16 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
2.622 * * * * [progress]: [ 17 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
2.622 * * * * [progress]: [ 18 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.622 * * * * [progress]: [ 19 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.622 * * * * [progress]: [ 20 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.622 * * * * [progress]: [ 21 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.622 * * * * [progress]: [ 22 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.622 * * * * [progress]: [ 23 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.622 * * * * [progress]: [ 24 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k)))>
2.623 * * * * [progress]: [ 25 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 26 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (posit16->real (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt k)))>
2.623 * * * * [progress]: [ 27 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 28 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 29 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* (* n 2) PI) 1) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 30 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (+ (log n) (log 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 31 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (+ (log (* n 2)) (log PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 32 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 33 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 34 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 35 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 36 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI))) (cbrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 37 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 38 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* (* n 2) PI)) (sqrt (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 39 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* (* n 2) PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 40 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (* (cbrt PI) (cbrt PI))) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 41 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) (sqrt PI)) (sqrt PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 42 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (* n 2) 1) PI) (- 1/2 (/ k 2))) (sqrt k)))>
2.623 * * * * [progress]: [ 43 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.624 * * * * [progress]: [ 44 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (posit16->real (real->posit16 (* (* n 2) PI))) (- 1/2 (/ k 2))) (sqrt k)))>
2.624 * * * * [progress]: [ 45 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
2.624 * * * * [progress]: [ 46 / 127 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) 1))>
2.624 * * * * [progress]: [ 47 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.624 * * * * [progress]: [ 48 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.624 * * * * [progress]: [ 49 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.624 * * * * [progress]: [ 50 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))>
2.624 * * * * [progress]: [ 51 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
2.624 * * * * [progress]: [ 52 / 127 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.624 * * * * [progress]: [ 53 / 127 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.624 * * * * [progress]: [ 54 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
2.624 * * * * [progress]: [ 55 / 127 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.624 * * * * [progress]: [ 56 / 127 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.624 * * * * [progress]: [ 57 / 127 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.624 * * * * [progress]: [ 58 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (- (sqrt k))))>
2.624 * * * * [progress]: [ 59 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
2.624 * * * * [progress]: [ 60 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
2.624 * * * * [progress]: [ 61 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.625 * * * * [progress]: [ 62 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.625 * * * * [progress]: [ 63 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.625 * * * * [progress]: [ 64 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.625 * * * * [progress]: [ 65 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))))>
2.625 * * * * [progress]: [ 66 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))))>
2.625 * * * * [progress]: [ 67 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.625 * * * * [progress]: [ 68 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt 1)) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.625 * * * * [progress]: [ 69 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))))>
2.625 * * * * [progress]: [ 70 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) 1/2) 1) (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))))>
2.625 * * * * [progress]: [ 71 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.625 * * * * [progress]: [ 72 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.625 * * * * [progress]: [ 73 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.625 * * * * [progress]: [ 74 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.625 * * * * [progress]: [ 75 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.625 * * * * [progress]: [ 76 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
2.625 * * * * [progress]: [ 77 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.625 * * * * [progress]: [ 78 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.625 * * * * [progress]: [ 79 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.626 * * * * [progress]: [ 80 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.626 * * * * [progress]: [ 81 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.626 * * * * [progress]: [ 82 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.626 * * * * [progress]: [ 83 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
2.626 * * * * [progress]: [ 84 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
2.626 * * * * [progress]: [ 85 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.626 * * * * [progress]: [ 86 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.626 * * * * [progress]: [ 87 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
2.626 * * * * [progress]: [ 88 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))))>
2.626 * * * * [progress]: [ 89 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
2.626 * * * * [progress]: [ 90 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
2.626 * * * * [progress]: [ 91 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.626 * * * * [progress]: [ 92 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt 1)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.626 * * * * [progress]: [ 93 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
2.626 * * * * [progress]: [ 94 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.626 * * * * [progress]: [ 95 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
2.626 * * * * [progress]: [ 96 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
2.626 * * * * [progress]: [ 97 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.627 * * * * [progress]: [ 98 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.627 * * * * [progress]: [ 99 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
2.627 * * * * [progress]: [ 100 / 127 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
2.627 * * * * [progress]: [ 101 / 127 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))>
2.627 * * * * [progress]: [ 102 / 127 ] simplifiying candidate #<alt (λ (k n) (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
2.627 * * * * [progress]: [ 103 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.627 * * * * [progress]: [ 104 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
2.627 * * * * [progress]: [ 105 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k))))>
2.627 * * * * [progress]: [ 106 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.627 * * * * [progress]: [ 107 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k)))>
2.627 * * * * [progress]: [ 108 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
2.627 * * * * [progress]: [ 109 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1) (sqrt k)))>
2.627 * * * * [progress]: [ 110 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.627 * * * * [progress]: [ 111 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))>
2.627 * * * * [progress]: [ 112 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))))>
2.627 * * * * [progress]: [ 113 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
2.627 * * * * [progress]: [ 114 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))))>
2.627 * * * * [progress]: [ 115 / 127 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))))>
2.628 * * * * [progress]: [ 116 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))))>
2.628 * * * * [progress]: [ 117 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))))>
2.628 * * * * [progress]: [ 118 / 127 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))))>
2.628 * * * * [progress]: [ 119 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 1/4 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (+ (* 1/8 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* 1/8 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))) (* 1/2 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))))) (sqrt k)))>
2.628 * * * * [progress]: [ 120 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
2.628 * * * * [progress]: [ 121 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
2.628 * * * * [progress]: [ 122 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.628 * * * * [progress]: [ 123 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.628 * * * * [progress]: [ 124 / 127 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
2.628 * * * * [progress]: [ 125 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k)))))))))))))))))))))))>
2.628 * * * * [progress]: [ 126 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))))))))>
2.628 * * * * [progress]: [ 127 / 127 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))))))))))>
2.631 * [simplify]: Simplifying:
  (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* (log (* (* n 2) PI)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (/ k 2))
  (pow (* (* n 2) PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* n 2) PI) (sqrt (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* n 2) PI) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* (* n 2) PI) 1)
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* (* n 2) PI) 1/2)
  (pow (* (* n 2) PI) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (exp (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (* (* n 2) PI)
  (* (* n 2) PI)
  (+ (+ (log n) (log 2)) (log PI))
  (+ (log (* n 2)) (log PI))
  (log (* (* n 2) PI))
  (exp (* (* n 2) PI))
  (* (* (* (* n n) n) (* (* 2 2) 2)) (* (* PI PI) PI))
  (* (* (* (* n 2) (* n 2)) (* n 2)) (* (* PI PI) PI))
  (* (cbrt (* (* n 2) PI)) (cbrt (* (* n 2) PI)))
  (cbrt (* (* n 2) PI))
  (* (* (* (* n 2) PI) (* (* n 2) PI)) (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (sqrt (* (* n 2) PI))
  (* (* n 2) (* (cbrt PI) (cbrt PI)))
  (* (* n 2) (sqrt PI))
  (* (* n 2) 1)
  (* 2 PI)
  (real->posit16 (* (* n 2) PI))
  (- (* (+ (+ (log n) (log 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log (* (* n 2) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) 1/2) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) 1/2) 1)
  (/ (pow (* (* n 2) PI) (- (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* n 2) PI) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* n 2) PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow (* (* n 2) PI) (/ k 2)))
  (real->posit16 (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (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)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (* 2 (* n PI))
  (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (pow (log n) 2) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k)) (- (+ (* +nan.0 (exp (* 1/2 (+ (log n) (log (* 2 PI)))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow k 2))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) k))) (- (* +nan.0 (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (* (log n) k))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k)) (- (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k)) (- (+ (* +nan.0 (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2))) (- (* +nan.0 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))
2.636 * * [simplify]: iteration 0: 271 enodes
2.743 * * [simplify]: iteration 1: 662 enodes
2.946 * * [simplify]: iteration 2: 2001 enodes
3.392 * * [simplify]: iteration complete: 2001 enodes
3.393 * * [simplify]: Extracting #0: cost 99 inf + 0
3.393 * * [simplify]: Extracting #1: cost 342 inf + 1
3.395 * * [simplify]: Extracting #2: cost 590 inf + 1931
3.400 * * [simplify]: Extracting #3: cost 627 inf + 25636
3.422 * * [simplify]: Extracting #4: cost 438 inf + 90869
3.448 * * [simplify]: Extracting #5: cost 214 inf + 189941
3.494 * * [simplify]: Extracting #6: cost 112 inf + 249014
3.550 * * [simplify]: Extracting #7: cost 30 inf + 300427
3.637 * * [simplify]: Extracting #8: cost 3 inf + 322021
3.731 * * [simplify]: Extracting #9: cost 0 inf + 324899
3.827 * * [simplify]: Extracting #10: cost 0 inf + 324779
3.936 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (/ k 2))
  (pow (* (* 2 PI) n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* (* 2 PI) n) (sqrt (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (pow (* (* 2 PI) n) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* (* 2 PI) n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* (* 2 PI) n)
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (sqrt (* (* 2 PI) n))
  (pow (* (* 2 PI) n) (- (/ k 2)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n)))
  (exp (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (log (* (* 2 PI) n))
  (* (exp (* PI n)) (exp (* PI n)))
  (* (* (* (* n (* n n)) 8) PI) (* PI PI))
  (* (* (* (* PI PI) PI) (* n 2)) (* (* n 2) (* n 2)))
  (* (cbrt (* (* 2 PI) n)) (cbrt (* (* 2 PI) n)))
  (cbrt (* (* 2 PI) n))
  (* (* (* 2 PI) n) (* (* (* 2 PI) n) (* (* 2 PI) n)))
  (sqrt (* (* 2 PI) n))
  (sqrt (* (* 2 PI) n))
  (* (* (cbrt PI) (cbrt PI)) (* n 2))
  (* (* (sqrt PI) 2) n)
  (* n 2)
  (* 2 PI)
  (real->posit16 (* (* 2 PI) n))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (- (* (- 1/2 (/ k 2)) (log (* (* 2 PI) n))) (log (sqrt k)))
  (exp (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (/ (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (* (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (* (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (sqrt (* (* 2 PI) n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (cbrt (sqrt k)))
  (/ (sqrt (* (* 2 PI) n)) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (cbrt k)))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (sqrt (* (* 2 PI) n)) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt (sqrt k)))
  (sqrt (* (* 2 PI) n))
  (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))
  (/ (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* n 2) (- 1/2 (/ k 2)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (* (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (fabs (cbrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (* (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (fabs (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (sqrt k))
  (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  1
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (cbrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2)))
  (/ (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (fabs (cbrt k)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (* (* 2 PI) n) (- 1/4 (/ (/ k 2) 2))))
  (* (sqrt k) (pow (* (* 2 PI) n) (/ k 2)))
  (real->posit16 (/ (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (+ (+ (* 1/4 (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) (log (* 2 PI))))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* (log n) (log n)) (* k k)) 1/8))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* 1/8 (* (log (* 2 PI)) (log (* 2 PI)))) (exp (* (log (* (* 2 PI) n)) 1/2))) (* k k))) (* 1/2 (* k (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (log n)) (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2)))))))
  (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2))))
  (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n)))))
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (* (* 2 PI) n)
  (- (+ (- (* (* (log (* 2 PI)) (exp (* (log (* (* 2 PI) n)) 1/2))) (* (* (* k k) (log n)) +nan.0)) (* (log (* 2 PI)) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 (* (* (log n) (log n)) (* k k)))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k))) (+ (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) +nan.0) (* (* (log (* 2 PI)) (log (* 2 PI))) (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (+ (+ (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* (* k k) (log n)) +nan.0)) (- (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* (* k k) +nan.0)))) (- (* +nan.0 (* (* (log (* 2 PI)) k) (exp (* (log (* (* 2 PI) n)) 1/2)))) (* (* (exp (* (log (* (* 2 PI) n)) 1/2)) (* +nan.0 k)) (log n))))))))
  (+ (/ (- (* +nan.0 (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))))) (* (* k k) k)) (* +nan.0 (- (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) k) (/ (exp (* (log (* (* 2 PI) n)) (- 1/2 (* k 1/2)))) (* k k)))))
  (+ (* (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) k) (- +nan.0)) (* +nan.0 (- (/ (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))) (* k k)) (exp (* (- 1/2 (* k 1/2)) (- (log (* PI -2)) (log (/ -1 n))))))))
3.955 * * * [progress]: adding candidates to table
4.733 * * [progress]: iteration 2 / 4
4.733 * * * [progress]: picking best candidate
4.803 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
4.803 * * * [progress]: localizing error
4.831 * * * [progress]: generating rewritten candidates
4.831 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
4.840 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.845 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
4.895 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.919 * * * [progress]: generating series expansions
4.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
4.920 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
4.920 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
4.920 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
4.920 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
4.920 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
4.920 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
4.920 * [taylor]: Taking taylor expansion of 1/2 in k
4.920 * [backup-simplify]: Simplify 1/2 into 1/2
4.920 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
4.920 * [taylor]: Taking taylor expansion of 1/2 in k
4.920 * [backup-simplify]: Simplify 1/2 into 1/2
4.920 * [taylor]: Taking taylor expansion of k in k
4.920 * [backup-simplify]: Simplify 0 into 0
4.920 * [backup-simplify]: Simplify 1 into 1
4.920 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
4.920 * [taylor]: Taking taylor expansion of (* 2 n) in k
4.920 * [taylor]: Taking taylor expansion of 2 in k
4.920 * [backup-simplify]: Simplify 2 into 2
4.920 * [taylor]: Taking taylor expansion of n in k
4.920 * [backup-simplify]: Simplify n into n
4.920 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
4.920 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
4.921 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.921 * [backup-simplify]: Simplify (- 0) into 0
4.922 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.922 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
4.922 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
4.922 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
4.922 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
4.922 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
4.922 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
4.922 * [taylor]: Taking taylor expansion of 1/2 in n
4.922 * [backup-simplify]: Simplify 1/2 into 1/2
4.922 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
4.922 * [taylor]: Taking taylor expansion of 1/2 in n
4.922 * [backup-simplify]: Simplify 1/2 into 1/2
4.922 * [taylor]: Taking taylor expansion of k in n
4.922 * [backup-simplify]: Simplify k into k
4.922 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
4.922 * [taylor]: Taking taylor expansion of (* 2 n) in n
4.923 * [taylor]: Taking taylor expansion of 2 in n
4.923 * [backup-simplify]: Simplify 2 into 2
4.923 * [taylor]: Taking taylor expansion of n in n
4.923 * [backup-simplify]: Simplify 0 into 0
4.923 * [backup-simplify]: Simplify 1 into 1
4.923 * [backup-simplify]: Simplify (* 2 0) into 0
4.924 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.924 * [backup-simplify]: Simplify (log 2) into (log 2)
4.924 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
4.925 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
4.925 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
4.926 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
4.926 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
4.927 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
4.927 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
4.927 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
4.927 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
4.927 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
4.927 * [taylor]: Taking taylor expansion of 1/2 in n
4.927 * [backup-simplify]: Simplify 1/2 into 1/2
4.927 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
4.927 * [taylor]: Taking taylor expansion of 1/2 in n
4.927 * [backup-simplify]: Simplify 1/2 into 1/2
4.927 * [taylor]: Taking taylor expansion of k in n
4.927 * [backup-simplify]: Simplify k into k
4.927 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
4.927 * [taylor]: Taking taylor expansion of (* 2 n) in n
4.927 * [taylor]: Taking taylor expansion of 2 in n
4.927 * [backup-simplify]: Simplify 2 into 2
4.927 * [taylor]: Taking taylor expansion of n in n
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 1 into 1
4.928 * [backup-simplify]: Simplify (* 2 0) into 0
4.928 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
4.929 * [backup-simplify]: Simplify (log 2) into (log 2)
4.929 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
4.929 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
4.929 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
4.930 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
4.930 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
4.931 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
4.931 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
4.931 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
4.931 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
4.931 * [taylor]: Taking taylor expansion of (log 2) in k
4.931 * [taylor]: Taking taylor expansion of 2 in k
4.931 * [backup-simplify]: Simplify 2 into 2
4.932 * [backup-simplify]: Simplify (log 2) into (log 2)
4.932 * [taylor]: Taking taylor expansion of (log n) in k
4.932 * [taylor]: Taking taylor expansion of n in k
4.932 * [backup-simplify]: Simplify n into n
4.932 * [backup-simplify]: Simplify (log n) into (log n)
4.932 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
4.932 * [taylor]: Taking taylor expansion of 1/2 in k
4.932 * [backup-simplify]: Simplify 1/2 into 1/2
4.932 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
4.932 * [taylor]: Taking taylor expansion of 1/2 in k
4.932 * [backup-simplify]: Simplify 1/2 into 1/2
4.932 * [taylor]: Taking taylor expansion of k in k
4.932 * [backup-simplify]: Simplify 0 into 0
4.932 * [backup-simplify]: Simplify 1 into 1
4.932 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
4.933 * [backup-simplify]: Simplify (* 1/2 0) into 0
4.933 * [backup-simplify]: Simplify (- 0) into 0
4.934 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
4.934 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
4.934 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
4.935 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
4.936 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
4.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
4.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
4.939 * [backup-simplify]: Simplify (- 0) into 0
4.939 * [backup-simplify]: Simplify (+ 0 0) into 0
4.940 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
4.941 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
4.942 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.942 * [taylor]: Taking taylor expansion of 0 in k
4.942 * [backup-simplify]: Simplify 0 into 0
4.942 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
4.943 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.943 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.945 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
4.946 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
4.946 * [backup-simplify]: Simplify (+ 0 0) into 0
4.947 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
4.949 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
4.950 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
4.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.954 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
4.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
4.956 * [backup-simplify]: Simplify (- 0) into 0
4.956 * [backup-simplify]: Simplify (+ 0 0) into 0
4.957 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
4.958 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
4.960 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.960 * [taylor]: Taking taylor expansion of 0 in k
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 0 into 0
4.960 * [backup-simplify]: Simplify 0 into 0
4.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
4.962 * [backup-simplify]: Simplify (- 0) into 0
4.962 * [backup-simplify]: Simplify (+ 0 0) into 0
4.965 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
4.967 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
4.967 * [backup-simplify]: Simplify (+ 0 0) into 0
4.968 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
4.971 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
4.974 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
4.979 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
4.979 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
4.979 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
4.979 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
4.979 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
4.979 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
4.979 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.979 * [taylor]: Taking taylor expansion of 1/2 in k
4.979 * [backup-simplify]: Simplify 1/2 into 1/2
4.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.979 * [taylor]: Taking taylor expansion of 1/2 in k
4.979 * [backup-simplify]: Simplify 1/2 into 1/2
4.979 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.979 * [taylor]: Taking taylor expansion of k in k
4.979 * [backup-simplify]: Simplify 0 into 0
4.979 * [backup-simplify]: Simplify 1 into 1
4.980 * [backup-simplify]: Simplify (/ 1 1) into 1
4.980 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
4.980 * [taylor]: Taking taylor expansion of (/ 2 n) in k
4.980 * [taylor]: Taking taylor expansion of 2 in k
4.980 * [backup-simplify]: Simplify 2 into 2
4.980 * [taylor]: Taking taylor expansion of n in k
4.980 * [backup-simplify]: Simplify n into n
4.980 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
4.980 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
4.980 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.981 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.981 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.981 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
4.981 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
4.981 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.981 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
4.982 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
4.982 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.982 * [taylor]: Taking taylor expansion of 1/2 in n
4.982 * [backup-simplify]: Simplify 1/2 into 1/2
4.982 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.982 * [taylor]: Taking taylor expansion of 1/2 in n
4.982 * [backup-simplify]: Simplify 1/2 into 1/2
4.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.982 * [taylor]: Taking taylor expansion of k in n
4.982 * [backup-simplify]: Simplify k into k
4.982 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.982 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
4.982 * [taylor]: Taking taylor expansion of (/ 2 n) in n
4.982 * [taylor]: Taking taylor expansion of 2 in n
4.982 * [backup-simplify]: Simplify 2 into 2
4.982 * [taylor]: Taking taylor expansion of n in n
4.982 * [backup-simplify]: Simplify 0 into 0
4.982 * [backup-simplify]: Simplify 1 into 1
4.982 * [backup-simplify]: Simplify (/ 2 1) into 2
4.983 * [backup-simplify]: Simplify (log 2) into (log 2)
4.983 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.983 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.983 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.984 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
4.984 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
4.985 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
4.985 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
4.985 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
4.985 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
4.985 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
4.985 * [taylor]: Taking taylor expansion of 1/2 in n
4.985 * [backup-simplify]: Simplify 1/2 into 1/2
4.985 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
4.985 * [taylor]: Taking taylor expansion of 1/2 in n
4.985 * [backup-simplify]: Simplify 1/2 into 1/2
4.985 * [taylor]: Taking taylor expansion of (/ 1 k) in n
4.985 * [taylor]: Taking taylor expansion of k in n
4.985 * [backup-simplify]: Simplify k into k
4.985 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
4.985 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
4.985 * [taylor]: Taking taylor expansion of (/ 2 n) in n
4.985 * [taylor]: Taking taylor expansion of 2 in n
4.986 * [backup-simplify]: Simplify 2 into 2
4.986 * [taylor]: Taking taylor expansion of n in n
4.986 * [backup-simplify]: Simplify 0 into 0
4.986 * [backup-simplify]: Simplify 1 into 1
4.986 * [backup-simplify]: Simplify (/ 2 1) into 2
4.986 * [backup-simplify]: Simplify (log 2) into (log 2)
4.986 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
4.987 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
4.987 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
4.987 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
4.988 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
4.989 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
4.989 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
4.989 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
4.989 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
4.989 * [taylor]: Taking taylor expansion of 1/2 in k
4.989 * [backup-simplify]: Simplify 1/2 into 1/2
4.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
4.989 * [taylor]: Taking taylor expansion of 1/2 in k
4.989 * [backup-simplify]: Simplify 1/2 into 1/2
4.989 * [taylor]: Taking taylor expansion of (/ 1 k) in k
4.989 * [taylor]: Taking taylor expansion of k in k
4.989 * [backup-simplify]: Simplify 0 into 0
4.989 * [backup-simplify]: Simplify 1 into 1
4.989 * [backup-simplify]: Simplify (/ 1 1) into 1
4.989 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
4.989 * [taylor]: Taking taylor expansion of (log 2) in k
4.989 * [taylor]: Taking taylor expansion of 2 in k
4.989 * [backup-simplify]: Simplify 2 into 2
4.990 * [backup-simplify]: Simplify (log 2) into (log 2)
4.990 * [taylor]: Taking taylor expansion of (log n) in k
4.990 * [taylor]: Taking taylor expansion of n in k
4.990 * [backup-simplify]: Simplify n into n
4.990 * [backup-simplify]: Simplify (log n) into (log n)
4.995 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
4.996 * [backup-simplify]: Simplify (- 1/2) into -1/2
4.997 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
4.997 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
4.997 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
4.998 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
4.998 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
4.999 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
5.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.003 * [backup-simplify]: Simplify (- 0) into 0
5.003 * [backup-simplify]: Simplify (+ 0 0) into 0
5.004 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.004 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
5.006 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.006 * [taylor]: Taking taylor expansion of 0 in k
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 0 into 0
5.006 * [backup-simplify]: Simplify 0 into 0
5.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.010 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.011 * [backup-simplify]: Simplify (- 0) into 0
5.012 * [backup-simplify]: Simplify (+ 0 0) into 0
5.013 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.013 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
5.015 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.015 * [taylor]: Taking taylor expansion of 0 in k
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 0 into 0
5.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.022 * [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
5.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.024 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.024 * [backup-simplify]: Simplify (- 0) into 0
5.024 * [backup-simplify]: Simplify (+ 0 0) into 0
5.025 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.026 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
5.029 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.029 * [taylor]: Taking taylor expansion of 0 in k
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify 0 into 0
5.029 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
5.030 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
5.030 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
5.030 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.030 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
5.030 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
5.030 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.030 * [taylor]: Taking taylor expansion of 1/2 in k
5.030 * [backup-simplify]: Simplify 1/2 into 1/2
5.030 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.030 * [taylor]: Taking taylor expansion of k in k
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [backup-simplify]: Simplify 1 into 1
5.030 * [backup-simplify]: Simplify (/ 1 1) into 1
5.030 * [taylor]: Taking taylor expansion of 1/2 in k
5.030 * [backup-simplify]: Simplify 1/2 into 1/2
5.031 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
5.031 * [taylor]: Taking taylor expansion of (/ -2 n) in k
5.031 * [taylor]: Taking taylor expansion of -2 in k
5.031 * [backup-simplify]: Simplify -2 into -2
5.031 * [taylor]: Taking taylor expansion of n in k
5.031 * [backup-simplify]: Simplify n into n
5.031 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
5.031 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
5.031 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.032 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.032 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
5.032 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
5.032 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.032 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.032 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.032 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.032 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.032 * [taylor]: Taking taylor expansion of 1/2 in n
5.032 * [backup-simplify]: Simplify 1/2 into 1/2
5.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.032 * [taylor]: Taking taylor expansion of k in n
5.032 * [backup-simplify]: Simplify k into k
5.032 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.032 * [taylor]: Taking taylor expansion of 1/2 in n
5.032 * [backup-simplify]: Simplify 1/2 into 1/2
5.032 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.032 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.032 * [taylor]: Taking taylor expansion of -2 in n
5.032 * [backup-simplify]: Simplify -2 into -2
5.032 * [taylor]: Taking taylor expansion of n in n
5.032 * [backup-simplify]: Simplify 0 into 0
5.032 * [backup-simplify]: Simplify 1 into 1
5.033 * [backup-simplify]: Simplify (/ -2 1) into -2
5.033 * [backup-simplify]: Simplify (log -2) into (log -2)
5.033 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.034 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.034 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.035 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.035 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.035 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.035 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.035 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.036 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.036 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.036 * [taylor]: Taking taylor expansion of 1/2 in n
5.036 * [backup-simplify]: Simplify 1/2 into 1/2
5.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.036 * [taylor]: Taking taylor expansion of k in n
5.036 * [backup-simplify]: Simplify k into k
5.036 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.036 * [taylor]: Taking taylor expansion of 1/2 in n
5.036 * [backup-simplify]: Simplify 1/2 into 1/2
5.036 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.036 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.036 * [taylor]: Taking taylor expansion of -2 in n
5.036 * [backup-simplify]: Simplify -2 into -2
5.036 * [taylor]: Taking taylor expansion of n in n
5.036 * [backup-simplify]: Simplify 0 into 0
5.036 * [backup-simplify]: Simplify 1 into 1
5.036 * [backup-simplify]: Simplify (/ -2 1) into -2
5.037 * [backup-simplify]: Simplify (log -2) into (log -2)
5.037 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.037 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.038 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.038 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.039 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.039 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
5.039 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
5.039 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.039 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.039 * [taylor]: Taking taylor expansion of 1/2 in k
5.039 * [backup-simplify]: Simplify 1/2 into 1/2
5.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.039 * [taylor]: Taking taylor expansion of k in k
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.040 * [backup-simplify]: Simplify (/ 1 1) into 1
5.040 * [taylor]: Taking taylor expansion of 1/2 in k
5.040 * [backup-simplify]: Simplify 1/2 into 1/2
5.040 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
5.040 * [taylor]: Taking taylor expansion of (log -2) in k
5.040 * [taylor]: Taking taylor expansion of -2 in k
5.040 * [backup-simplify]: Simplify -2 into -2
5.040 * [backup-simplify]: Simplify (log -2) into (log -2)
5.040 * [taylor]: Taking taylor expansion of (log n) in k
5.040 * [taylor]: Taking taylor expansion of n in k
5.040 * [backup-simplify]: Simplify n into n
5.040 * [backup-simplify]: Simplify (log n) into (log n)
5.041 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.041 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.041 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.042 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
5.042 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
5.043 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.043 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
5.046 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
5.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.047 * [backup-simplify]: Simplify (+ 0 0) into 0
5.047 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.048 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
5.050 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.050 * [taylor]: Taking taylor expansion of 0 in k
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify 0 into 0
5.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.054 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
5.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.056 * [backup-simplify]: Simplify (+ 0 0) into 0
5.056 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.057 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
5.059 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.059 * [taylor]: Taking taylor expansion of 0 in k
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 0 into 0
5.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.066 * [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
5.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.068 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.068 * [backup-simplify]: Simplify (+ 0 0) into 0
5.069 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.070 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
5.072 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.072 * [taylor]: Taking taylor expansion of 0 in k
5.072 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
5.073 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
5.073 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
5.073 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
5.073 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.073 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.073 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.073 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.073 * [taylor]: Taking taylor expansion of 1/2 in k
5.073 * [backup-simplify]: Simplify 1/2 into 1/2
5.073 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.073 * [taylor]: Taking taylor expansion of 1/2 in k
5.073 * [backup-simplify]: Simplify 1/2 into 1/2
5.073 * [taylor]: Taking taylor expansion of k in k
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 1 into 1
5.074 * [taylor]: Taking taylor expansion of (log PI) in k
5.074 * [taylor]: Taking taylor expansion of PI in k
5.074 * [backup-simplify]: Simplify PI into PI
5.074 * [backup-simplify]: Simplify (log PI) into (log PI)
5.075 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.075 * [backup-simplify]: Simplify (- 0) into 0
5.075 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.076 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.078 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.078 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.078 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.078 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.078 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.078 * [taylor]: Taking taylor expansion of 1/2 in k
5.078 * [backup-simplify]: Simplify 1/2 into 1/2
5.078 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.078 * [taylor]: Taking taylor expansion of 1/2 in k
5.078 * [backup-simplify]: Simplify 1/2 into 1/2
5.078 * [taylor]: Taking taylor expansion of k in k
5.078 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify 1 into 1
5.078 * [taylor]: Taking taylor expansion of (log PI) in k
5.078 * [taylor]: Taking taylor expansion of PI in k
5.078 * [backup-simplify]: Simplify PI into PI
5.079 * [backup-simplify]: Simplify (log PI) into (log PI)
5.079 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.080 * [backup-simplify]: Simplify (- 0) into 0
5.080 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.081 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.083 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.083 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
5.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.086 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.087 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.087 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
5.099 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
5.102 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
5.105 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.106 * [backup-simplify]: Simplify (- 0) into 0
5.107 * [backup-simplify]: Simplify (+ 0 0) into 0
5.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
5.121 * [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)))
5.124 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
5.130 * [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))))
5.131 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.131 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
5.131 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.131 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.131 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.131 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.131 * [taylor]: Taking taylor expansion of 1/2 in k
5.131 * [backup-simplify]: Simplify 1/2 into 1/2
5.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.131 * [taylor]: Taking taylor expansion of 1/2 in k
5.131 * [backup-simplify]: Simplify 1/2 into 1/2
5.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.131 * [taylor]: Taking taylor expansion of k in k
5.131 * [backup-simplify]: Simplify 0 into 0
5.131 * [backup-simplify]: Simplify 1 into 1
5.131 * [backup-simplify]: Simplify (/ 1 1) into 1
5.131 * [taylor]: Taking taylor expansion of (log PI) in k
5.131 * [taylor]: Taking taylor expansion of PI in k
5.131 * [backup-simplify]: Simplify PI into PI
5.132 * [backup-simplify]: Simplify (log PI) into (log PI)
5.132 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.133 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.133 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.134 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.135 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.135 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.135 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.135 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.135 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.135 * [taylor]: Taking taylor expansion of 1/2 in k
5.135 * [backup-simplify]: Simplify 1/2 into 1/2
5.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.135 * [taylor]: Taking taylor expansion of 1/2 in k
5.135 * [backup-simplify]: Simplify 1/2 into 1/2
5.135 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.135 * [taylor]: Taking taylor expansion of k in k
5.135 * [backup-simplify]: Simplify 0 into 0
5.135 * [backup-simplify]: Simplify 1 into 1
5.135 * [backup-simplify]: Simplify (/ 1 1) into 1
5.135 * [taylor]: Taking taylor expansion of (log PI) in k
5.135 * [taylor]: Taking taylor expansion of PI in k
5.136 * [backup-simplify]: Simplify PI into PI
5.136 * [backup-simplify]: Simplify (log PI) into (log PI)
5.136 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.137 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.137 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.138 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.139 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.139 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify 0 into 0
5.139 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
5.140 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.140 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
5.140 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.140 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.140 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.140 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.140 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.140 * [taylor]: Taking taylor expansion of 1/2 in k
5.140 * [backup-simplify]: Simplify 1/2 into 1/2
5.140 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.140 * [taylor]: Taking taylor expansion of k in k
5.140 * [backup-simplify]: Simplify 0 into 0
5.140 * [backup-simplify]: Simplify 1 into 1
5.140 * [backup-simplify]: Simplify (/ 1 1) into 1
5.140 * [taylor]: Taking taylor expansion of 1/2 in k
5.140 * [backup-simplify]: Simplify 1/2 into 1/2
5.140 * [taylor]: Taking taylor expansion of (log PI) in k
5.140 * [taylor]: Taking taylor expansion of PI in k
5.140 * [backup-simplify]: Simplify PI into PI
5.141 * [backup-simplify]: Simplify (log PI) into (log PI)
5.141 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.142 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.146 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.147 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.147 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.147 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.147 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.147 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.147 * [taylor]: Taking taylor expansion of 1/2 in k
5.147 * [backup-simplify]: Simplify 1/2 into 1/2
5.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.147 * [taylor]: Taking taylor expansion of k in k
5.147 * [backup-simplify]: Simplify 0 into 0
5.147 * [backup-simplify]: Simplify 1 into 1
5.147 * [backup-simplify]: Simplify (/ 1 1) into 1
5.147 * [taylor]: Taking taylor expansion of 1/2 in k
5.147 * [backup-simplify]: Simplify 1/2 into 1/2
5.147 * [taylor]: Taking taylor expansion of (log PI) in k
5.147 * [taylor]: Taking taylor expansion of PI in k
5.147 * [backup-simplify]: Simplify PI into PI
5.148 * [backup-simplify]: Simplify (log PI) into (log PI)
5.148 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.149 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.150 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.150 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.150 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
5.151 * * * * [progress]: [ 3 / 4 ] generating series at (2)
5.151 * [backup-simplify]: Simplify (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
5.151 * [approximate]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
5.151 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
5.151 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k
5.151 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
5.151 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
5.151 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
5.151 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.152 * [taylor]: Taking taylor expansion of 1/2 in k
5.152 * [backup-simplify]: Simplify 1/2 into 1/2
5.152 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.152 * [taylor]: Taking taylor expansion of 1/2 in k
5.152 * [backup-simplify]: Simplify 1/2 into 1/2
5.152 * [taylor]: Taking taylor expansion of k in k
5.152 * [backup-simplify]: Simplify 0 into 0
5.152 * [backup-simplify]: Simplify 1 into 1
5.152 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
5.152 * [taylor]: Taking taylor expansion of (* 2 n) in k
5.152 * [taylor]: Taking taylor expansion of 2 in k
5.152 * [backup-simplify]: Simplify 2 into 2
5.152 * [taylor]: Taking taylor expansion of n in k
5.152 * [backup-simplify]: Simplify n into n
5.152 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
5.152 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
5.152 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.153 * [backup-simplify]: Simplify (- 0) into 0
5.153 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.153 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
5.153 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
5.153 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.153 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.153 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.154 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.154 * [taylor]: Taking taylor expansion of 1/2 in k
5.154 * [backup-simplify]: Simplify 1/2 into 1/2
5.154 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.154 * [taylor]: Taking taylor expansion of 1/2 in k
5.154 * [backup-simplify]: Simplify 1/2 into 1/2
5.154 * [taylor]: Taking taylor expansion of k in k
5.154 * [backup-simplify]: Simplify 0 into 0
5.154 * [backup-simplify]: Simplify 1 into 1
5.154 * [taylor]: Taking taylor expansion of (log PI) in k
5.154 * [taylor]: Taking taylor expansion of PI in k
5.154 * [backup-simplify]: Simplify PI into PI
5.154 * [backup-simplify]: Simplify (log PI) into (log PI)
5.155 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.155 * [backup-simplify]: Simplify (- 0) into 0
5.155 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.156 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.157 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.157 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.157 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.157 * [taylor]: Taking taylor expansion of k in k
5.157 * [backup-simplify]: Simplify 0 into 0
5.157 * [backup-simplify]: Simplify 1 into 1
5.157 * [backup-simplify]: Simplify (/ 1 1) into 1
5.157 * [backup-simplify]: Simplify (sqrt 0) into 0
5.158 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.158 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
5.158 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
5.158 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.158 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.158 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.158 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.158 * [taylor]: Taking taylor expansion of 1/2 in n
5.158 * [backup-simplify]: Simplify 1/2 into 1/2
5.158 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.158 * [taylor]: Taking taylor expansion of 1/2 in n
5.158 * [backup-simplify]: Simplify 1/2 into 1/2
5.158 * [taylor]: Taking taylor expansion of k in n
5.158 * [backup-simplify]: Simplify k into k
5.158 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.159 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.159 * [taylor]: Taking taylor expansion of 2 in n
5.159 * [backup-simplify]: Simplify 2 into 2
5.159 * [taylor]: Taking taylor expansion of n in n
5.159 * [backup-simplify]: Simplify 0 into 0
5.159 * [backup-simplify]: Simplify 1 into 1
5.159 * [backup-simplify]: Simplify (* 2 0) into 0
5.159 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.160 * [backup-simplify]: Simplify (log 2) into (log 2)
5.160 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.160 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.160 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.160 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.161 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.161 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.161 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
5.161 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
5.161 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
5.161 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.161 * [taylor]: Taking taylor expansion of 1/2 in n
5.161 * [backup-simplify]: Simplify 1/2 into 1/2
5.161 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.161 * [taylor]: Taking taylor expansion of 1/2 in n
5.161 * [backup-simplify]: Simplify 1/2 into 1/2
5.161 * [taylor]: Taking taylor expansion of k in n
5.161 * [backup-simplify]: Simplify k into k
5.161 * [taylor]: Taking taylor expansion of (log PI) in n
5.161 * [taylor]: Taking taylor expansion of PI in n
5.161 * [backup-simplify]: Simplify PI into PI
5.161 * [backup-simplify]: Simplify (log PI) into (log PI)
5.161 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.162 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.162 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.162 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
5.162 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
5.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.162 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.162 * [taylor]: Taking taylor expansion of k in n
5.162 * [backup-simplify]: Simplify k into k
5.162 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.162 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.163 * [taylor]: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
5.163 * [taylor]: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n
5.163 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
5.163 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
5.163 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
5.163 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.163 * [taylor]: Taking taylor expansion of 1/2 in n
5.163 * [backup-simplify]: Simplify 1/2 into 1/2
5.163 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.163 * [taylor]: Taking taylor expansion of 1/2 in n
5.163 * [backup-simplify]: Simplify 1/2 into 1/2
5.163 * [taylor]: Taking taylor expansion of k in n
5.163 * [backup-simplify]: Simplify k into k
5.163 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
5.163 * [taylor]: Taking taylor expansion of (* 2 n) in n
5.163 * [taylor]: Taking taylor expansion of 2 in n
5.163 * [backup-simplify]: Simplify 2 into 2
5.163 * [taylor]: Taking taylor expansion of n in n
5.163 * [backup-simplify]: Simplify 0 into 0
5.163 * [backup-simplify]: Simplify 1 into 1
5.163 * [backup-simplify]: Simplify (* 2 0) into 0
5.163 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
5.164 * [backup-simplify]: Simplify (log 2) into (log 2)
5.164 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.164 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.164 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.164 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.165 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
5.165 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
5.165 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n
5.165 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n
5.165 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n
5.165 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
5.165 * [taylor]: Taking taylor expansion of 1/2 in n
5.165 * [backup-simplify]: Simplify 1/2 into 1/2
5.165 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
5.165 * [taylor]: Taking taylor expansion of 1/2 in n
5.165 * [backup-simplify]: Simplify 1/2 into 1/2
5.165 * [taylor]: Taking taylor expansion of k in n
5.165 * [backup-simplify]: Simplify k into k
5.165 * [taylor]: Taking taylor expansion of (log PI) in n
5.165 * [taylor]: Taking taylor expansion of PI in n
5.165 * [backup-simplify]: Simplify PI into PI
5.165 * [backup-simplify]: Simplify (log PI) into (log PI)
5.166 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
5.166 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
5.166 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
5.166 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI))
5.166 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k)))
5.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
5.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.166 * [taylor]: Taking taylor expansion of k in n
5.166 * [backup-simplify]: Simplify k into k
5.166 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.166 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
5.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
5.167 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))
5.167 * [backup-simplify]: Simplify (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) into (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))))
5.167 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) in k
5.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.167 * [taylor]: Taking taylor expansion of k in k
5.167 * [backup-simplify]: Simplify 0 into 0
5.167 * [backup-simplify]: Simplify 1 into 1
5.168 * [backup-simplify]: Simplify (/ 1 1) into 1
5.168 * [backup-simplify]: Simplify (sqrt 0) into 0
5.169 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.169 * [taylor]: Taking taylor expansion of (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) in k
5.169 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
5.169 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
5.169 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
5.169 * [taylor]: Taking taylor expansion of (log 2) in k
5.169 * [taylor]: Taking taylor expansion of 2 in k
5.169 * [backup-simplify]: Simplify 2 into 2
5.169 * [backup-simplify]: Simplify (log 2) into (log 2)
5.169 * [taylor]: Taking taylor expansion of (log n) in k
5.169 * [taylor]: Taking taylor expansion of n in k
5.169 * [backup-simplify]: Simplify n into n
5.169 * [backup-simplify]: Simplify (log n) into (log n)
5.169 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.169 * [taylor]: Taking taylor expansion of 1/2 in k
5.169 * [backup-simplify]: Simplify 1/2 into 1/2
5.169 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.169 * [taylor]: Taking taylor expansion of 1/2 in k
5.169 * [backup-simplify]: Simplify 1/2 into 1/2
5.169 * [taylor]: Taking taylor expansion of k in k
5.169 * [backup-simplify]: Simplify 0 into 0
5.169 * [backup-simplify]: Simplify 1 into 1
5.170 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
5.170 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.170 * [backup-simplify]: Simplify (- 0) into 0
5.170 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.171 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
5.171 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
5.171 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.171 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.171 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.171 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.171 * [taylor]: Taking taylor expansion of 1/2 in k
5.171 * [backup-simplify]: Simplify 1/2 into 1/2
5.171 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.171 * [taylor]: Taking taylor expansion of 1/2 in k
5.171 * [backup-simplify]: Simplify 1/2 into 1/2
5.171 * [taylor]: Taking taylor expansion of k in k
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [taylor]: Taking taylor expansion of (log PI) in k
5.171 * [taylor]: Taking taylor expansion of PI in k
5.171 * [backup-simplify]: Simplify PI into PI
5.171 * [backup-simplify]: Simplify (log PI) into (log PI)
5.172 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.172 * [backup-simplify]: Simplify (- 0) into 0
5.172 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.173 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.174 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.174 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (pow PI 1/2)) into (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))
5.175 * [backup-simplify]: Simplify (* 0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) into 0
5.175 * [backup-simplify]: Simplify 0 into 0
5.176 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.176 * [backup-simplify]: Simplify (- 0) into 0
5.177 * [backup-simplify]: Simplify (+ 0 0) into 0
5.177 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (log PI))) into 0
5.178 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
5.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
5.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
5.180 * [backup-simplify]: Simplify (- 0) into 0
5.180 * [backup-simplify]: Simplify (+ 0 0) into 0
5.180 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.181 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
5.181 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.182 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))) into 0
5.182 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (* 0 (sqrt (/ 1 k)))) into 0
5.182 * [taylor]: Taking taylor expansion of 0 in k
5.182 * [backup-simplify]: Simplify 0 into 0
5.183 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.184 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.184 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.184 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
5.194 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
5.195 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.195 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.196 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
5.198 * [backup-simplify]: Simplify (+ 0 0) into 0
5.199 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
5.201 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
5.205 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))
5.210 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
5.211 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))
5.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.212 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
5.215 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.216 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.216 * [backup-simplify]: Simplify (- 0) into 0
5.217 * [backup-simplify]: Simplify (+ 0 0) into 0
5.218 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
5.220 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.226 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
5.227 * [backup-simplify]: Simplify (- 0) into 0
5.227 * [backup-simplify]: Simplify (+ 0 0) into 0
5.228 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.229 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
5.231 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.232 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k)))))) into 0
5.233 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
5.233 * [taylor]: Taking taylor expansion of 0 in k
5.233 * [backup-simplify]: Simplify 0 into 0
5.233 * [backup-simplify]: Simplify 0 into 0
5.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.238 * [backup-simplify]: Simplify (- 0) into 0
5.239 * [backup-simplify]: Simplify (+ 0 0) into 0
5.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
5.253 * [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)))
5.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.254 * [backup-simplify]: Simplify (- 0) into 0
5.255 * [backup-simplify]: Simplify (+ 0 0) into 0
5.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.260 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
5.261 * [backup-simplify]: Simplify (+ 0 0) into 0
5.262 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
5.265 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
5.280 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow PI 1/2)))) into (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))
5.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.284 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.300 * [backup-simplify]: Simplify (+ (* 0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
5.305 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))))))))))
5.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
5.312 * [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
5.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
5.313 * [backup-simplify]: Simplify (- 0) into 0
5.314 * [backup-simplify]: Simplify (+ 0 0) into 0
5.315 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.317 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.324 * [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
5.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
5.326 * [backup-simplify]: Simplify (- 0) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.327 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
5.329 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
5.331 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.333 * [backup-simplify]: Simplify (+ (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 k))))))) into 0
5.334 * [backup-simplify]: Simplify (+ (* (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
5.334 * [taylor]: Taking taylor expansion of 0 in k
5.334 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 0 into 0
5.341 * [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
5.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.342 * [backup-simplify]: Simplify (- 0) into 0
5.343 * [backup-simplify]: Simplify (+ 0 0) into 0
5.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.361 * [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)))
5.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.363 * [backup-simplify]: Simplify (- 0) into 0
5.363 * [backup-simplify]: Simplify (+ 0 0) into 0
5.368 * [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
5.371 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
5.372 * [backup-simplify]: Simplify (+ 0 0) into 0
5.373 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
5.377 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
5.398 * [backup-simplify]: Simplify (+ (* (exp (* 1/2 (+ (log 2) (log n)))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n)))))) (pow PI 1/2))))) into (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))
5.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.448 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow (log n) 2))) (sqrt PI))) (+ (* 1/16 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 3)) (sqrt PI))) (+ (* 1/16 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (log n))) (sqrt PI))) (+ (* 1/16 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/48 (* (* (pow (log 2) 3) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (+ (* 1/48 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 3)) (sqrt PI))) (* 1/8 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n)))) (sqrt PI)))))))))))))) (+ (* +nan.0 (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (+ (* 1/4 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))) (+ (* 1/8 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (* 1/8 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))))))))) (+ (* +nan.0 (- (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (+ (* 1/2 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (* 1/2 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
5.468 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI))))))))))))))))))))))
5.498 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow (log n) 2)) (sqrt PI)))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (log n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (exp (* 1/2 (+ (log 2) (log n))))) (sqrt PI))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI)))))) into (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
5.499 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k)))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
5.499 * [approximate]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
5.499 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
5.499 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
5.499 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.499 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.499 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.499 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.499 * [taylor]: Taking taylor expansion of 1/2 in k
5.499 * [backup-simplify]: Simplify 1/2 into 1/2
5.499 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.499 * [taylor]: Taking taylor expansion of 1/2 in k
5.499 * [backup-simplify]: Simplify 1/2 into 1/2
5.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.499 * [taylor]: Taking taylor expansion of k in k
5.499 * [backup-simplify]: Simplify 0 into 0
5.499 * [backup-simplify]: Simplify 1 into 1
5.500 * [backup-simplify]: Simplify (/ 1 1) into 1
5.500 * [taylor]: Taking taylor expansion of (log PI) in k
5.500 * [taylor]: Taking taylor expansion of PI in k
5.500 * [backup-simplify]: Simplify PI into PI
5.500 * [backup-simplify]: Simplify (log PI) into (log PI)
5.501 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.501 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.502 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.503 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.503 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.503 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
5.503 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
5.503 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
5.503 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.503 * [taylor]: Taking taylor expansion of 1/2 in k
5.503 * [backup-simplify]: Simplify 1/2 into 1/2
5.503 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.503 * [taylor]: Taking taylor expansion of 1/2 in k
5.503 * [backup-simplify]: Simplify 1/2 into 1/2
5.503 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.503 * [taylor]: Taking taylor expansion of k in k
5.503 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 1 into 1
5.504 * [backup-simplify]: Simplify (/ 1 1) into 1
5.504 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
5.504 * [taylor]: Taking taylor expansion of (/ 2 n) in k
5.504 * [taylor]: Taking taylor expansion of 2 in k
5.504 * [backup-simplify]: Simplify 2 into 2
5.504 * [taylor]: Taking taylor expansion of n in k
5.504 * [backup-simplify]: Simplify n into n
5.504 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
5.504 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
5.505 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.505 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.505 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.506 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
5.506 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
5.506 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.506 * [taylor]: Taking taylor expansion of k in k
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify (sqrt 0) into 0
5.508 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.508 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
5.508 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.508 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
5.508 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
5.508 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
5.508 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.508 * [taylor]: Taking taylor expansion of 1/2 in n
5.508 * [backup-simplify]: Simplify 1/2 into 1/2
5.508 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.508 * [taylor]: Taking taylor expansion of 1/2 in n
5.508 * [backup-simplify]: Simplify 1/2 into 1/2
5.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.508 * [taylor]: Taking taylor expansion of k in n
5.508 * [backup-simplify]: Simplify k into k
5.508 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.508 * [taylor]: Taking taylor expansion of (log PI) in n
5.508 * [taylor]: Taking taylor expansion of PI in n
5.508 * [backup-simplify]: Simplify PI into PI
5.509 * [backup-simplify]: Simplify (log PI) into (log PI)
5.509 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.509 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.509 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.510 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
5.510 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.510 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.510 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
5.510 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
5.510 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.510 * [taylor]: Taking taylor expansion of 1/2 in n
5.510 * [backup-simplify]: Simplify 1/2 into 1/2
5.510 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.510 * [taylor]: Taking taylor expansion of 1/2 in n
5.510 * [backup-simplify]: Simplify 1/2 into 1/2
5.510 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.510 * [taylor]: Taking taylor expansion of k in n
5.510 * [backup-simplify]: Simplify k into k
5.510 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.510 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
5.511 * [taylor]: Taking taylor expansion of (/ 2 n) in n
5.511 * [taylor]: Taking taylor expansion of 2 in n
5.511 * [backup-simplify]: Simplify 2 into 2
5.511 * [taylor]: Taking taylor expansion of n in n
5.511 * [backup-simplify]: Simplify 0 into 0
5.511 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (/ 2 1) into 2
5.511 * [backup-simplify]: Simplify (log 2) into (log 2)
5.512 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.512 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.512 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.513 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.513 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
5.514 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.514 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.514 * [taylor]: Taking taylor expansion of k in n
5.514 * [backup-simplify]: Simplify k into k
5.514 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.514 * [taylor]: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
5.514 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
5.514 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n
5.514 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n
5.514 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n
5.514 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.514 * [taylor]: Taking taylor expansion of 1/2 in n
5.514 * [backup-simplify]: Simplify 1/2 into 1/2
5.514 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.514 * [taylor]: Taking taylor expansion of 1/2 in n
5.514 * [backup-simplify]: Simplify 1/2 into 1/2
5.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.514 * [taylor]: Taking taylor expansion of k in n
5.514 * [backup-simplify]: Simplify k into k
5.514 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.514 * [taylor]: Taking taylor expansion of (log PI) in n
5.514 * [taylor]: Taking taylor expansion of PI in n
5.514 * [backup-simplify]: Simplify PI into PI
5.515 * [backup-simplify]: Simplify (log PI) into (log PI)
5.515 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.515 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.515 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.516 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))
5.516 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.516 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
5.516 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
5.516 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
5.516 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
5.516 * [taylor]: Taking taylor expansion of 1/2 in n
5.516 * [backup-simplify]: Simplify 1/2 into 1/2
5.516 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.516 * [taylor]: Taking taylor expansion of 1/2 in n
5.516 * [backup-simplify]: Simplify 1/2 into 1/2
5.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.516 * [taylor]: Taking taylor expansion of k in n
5.516 * [backup-simplify]: Simplify k into k
5.517 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.517 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
5.517 * [taylor]: Taking taylor expansion of (/ 2 n) in n
5.517 * [taylor]: Taking taylor expansion of 2 in n
5.517 * [backup-simplify]: Simplify 2 into 2
5.517 * [taylor]: Taking taylor expansion of n in n
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (/ 2 1) into 2
5.518 * [backup-simplify]: Simplify (log 2) into (log 2)
5.518 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.518 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
5.518 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
5.519 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.519 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
5.520 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.520 * [taylor]: Taking taylor expansion of (sqrt k) in n
5.520 * [taylor]: Taking taylor expansion of k in n
5.520 * [backup-simplify]: Simplify k into k
5.520 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
5.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
5.521 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
5.521 * [backup-simplify]: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
5.521 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
5.522 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.522 * [taylor]: Taking taylor expansion of k in k
5.522 * [backup-simplify]: Simplify 0 into 0
5.522 * [backup-simplify]: Simplify 1 into 1
5.522 * [backup-simplify]: Simplify (sqrt 0) into 0
5.523 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.523 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
5.523 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.523 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.523 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.523 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.523 * [taylor]: Taking taylor expansion of 1/2 in k
5.524 * [backup-simplify]: Simplify 1/2 into 1/2
5.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.524 * [taylor]: Taking taylor expansion of 1/2 in k
5.524 * [backup-simplify]: Simplify 1/2 into 1/2
5.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.524 * [taylor]: Taking taylor expansion of k in k
5.524 * [backup-simplify]: Simplify 0 into 0
5.524 * [backup-simplify]: Simplify 1 into 1
5.524 * [backup-simplify]: Simplify (/ 1 1) into 1
5.524 * [taylor]: Taking taylor expansion of (log PI) in k
5.524 * [taylor]: Taking taylor expansion of PI in k
5.524 * [backup-simplify]: Simplify PI into PI
5.525 * [backup-simplify]: Simplify (log PI) into (log PI)
5.525 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.525 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.526 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.527 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.527 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.527 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
5.527 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
5.528 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.528 * [taylor]: Taking taylor expansion of 1/2 in k
5.528 * [backup-simplify]: Simplify 1/2 into 1/2
5.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.528 * [taylor]: Taking taylor expansion of 1/2 in k
5.528 * [backup-simplify]: Simplify 1/2 into 1/2
5.528 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.528 * [taylor]: Taking taylor expansion of k in k
5.528 * [backup-simplify]: Simplify 0 into 0
5.528 * [backup-simplify]: Simplify 1 into 1
5.528 * [backup-simplify]: Simplify (/ 1 1) into 1
5.528 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
5.528 * [taylor]: Taking taylor expansion of (log 2) in k
5.528 * [taylor]: Taking taylor expansion of 2 in k
5.528 * [backup-simplify]: Simplify 2 into 2
5.529 * [backup-simplify]: Simplify (log 2) into (log 2)
5.529 * [taylor]: Taking taylor expansion of (log n) in k
5.529 * [taylor]: Taking taylor expansion of n in k
5.529 * [backup-simplify]: Simplify n into n
5.529 * [backup-simplify]: Simplify (log n) into (log n)
5.529 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.530 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.530 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.530 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.531 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
5.531 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
5.532 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
5.532 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
5.533 * [backup-simplify]: Simplify (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
5.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
5.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.536 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.536 * [backup-simplify]: Simplify (- 0) into 0
5.537 * [backup-simplify]: Simplify (+ 0 0) into 0
5.537 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.538 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
5.539 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.542 * [backup-simplify]: Simplify (- 0) into 0
5.543 * [backup-simplify]: Simplify (+ 0 0) into 0
5.543 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0
5.545 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
5.545 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
5.546 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
5.546 * [taylor]: Taking taylor expansion of 0 in k
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 0 into 0
5.547 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
5.552 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.553 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.553 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
5.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.557 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
5.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.558 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.559 * [backup-simplify]: Simplify (- 0) into 0
5.559 * [backup-simplify]: Simplify (+ 0 0) into 0
5.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.561 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
5.563 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.566 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.567 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.568 * [backup-simplify]: Simplify (- 0) into 0
5.568 * [backup-simplify]: Simplify (+ 0 0) into 0
5.569 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
5.571 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.572 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
5.573 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
5.573 * [taylor]: Taking taylor expansion of 0 in k
5.573 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify 0 into 0
5.573 * [backup-simplify]: Simplify 0 into 0
5.574 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
5.577 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.580 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.585 * [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
5.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.586 * [backup-simplify]: Simplify (- 0) into 0
5.587 * [backup-simplify]: Simplify (+ 0 0) into 0
5.587 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
5.588 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
5.589 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.593 * [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
5.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
5.594 * [backup-simplify]: Simplify (- 0) into 0
5.594 * [backup-simplify]: Simplify (+ 0 0) into 0
5.595 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.596 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
5.597 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
5.598 * [backup-simplify]: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
5.598 * [taylor]: Taking taylor expansion of 0 in k
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 0 into 0
5.599 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
5.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.603 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.603 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
5.605 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
5.605 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
5.605 * [approximate]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
5.605 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
5.605 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
5.605 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.605 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
5.605 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
5.605 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.605 * [taylor]: Taking taylor expansion of 1/2 in k
5.605 * [backup-simplify]: Simplify 1/2 into 1/2
5.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.605 * [taylor]: Taking taylor expansion of k in k
5.605 * [backup-simplify]: Simplify 0 into 0
5.605 * [backup-simplify]: Simplify 1 into 1
5.606 * [backup-simplify]: Simplify (/ 1 1) into 1
5.606 * [taylor]: Taking taylor expansion of 1/2 in k
5.606 * [backup-simplify]: Simplify 1/2 into 1/2
5.606 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
5.606 * [taylor]: Taking taylor expansion of (/ -2 n) in k
5.606 * [taylor]: Taking taylor expansion of -2 in k
5.606 * [backup-simplify]: Simplify -2 into -2
5.606 * [taylor]: Taking taylor expansion of n in k
5.606 * [backup-simplify]: Simplify n into n
5.606 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
5.606 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
5.606 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.606 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.606 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
5.607 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
5.607 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.607 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.607 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.607 * [taylor]: Taking taylor expansion of 1/2 in k
5.607 * [backup-simplify]: Simplify 1/2 into 1/2
5.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.607 * [taylor]: Taking taylor expansion of k in k
5.607 * [backup-simplify]: Simplify 0 into 0
5.607 * [backup-simplify]: Simplify 1 into 1
5.607 * [backup-simplify]: Simplify (/ 1 1) into 1
5.607 * [taylor]: Taking taylor expansion of 1/2 in k
5.607 * [backup-simplify]: Simplify 1/2 into 1/2
5.607 * [taylor]: Taking taylor expansion of (log PI) in k
5.607 * [taylor]: Taking taylor expansion of PI in k
5.607 * [backup-simplify]: Simplify PI into PI
5.607 * [backup-simplify]: Simplify (log PI) into (log PI)
5.608 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.608 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.608 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.609 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.609 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.609 * [taylor]: Taking taylor expansion of -1 in k
5.609 * [backup-simplify]: Simplify -1 into -1
5.609 * [taylor]: Taking taylor expansion of k in k
5.609 * [backup-simplify]: Simplify 0 into 0
5.609 * [backup-simplify]: Simplify 1 into 1
5.609 * [backup-simplify]: Simplify (/ -1 1) into -1
5.609 * [backup-simplify]: Simplify (sqrt 0) into 0
5.610 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.610 * [backup-simplify]: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.611 * [backup-simplify]: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.611 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
5.611 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.611 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.611 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.611 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.611 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.611 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.611 * [taylor]: Taking taylor expansion of 1/2 in n
5.611 * [backup-simplify]: Simplify 1/2 into 1/2
5.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.611 * [taylor]: Taking taylor expansion of k in n
5.611 * [backup-simplify]: Simplify k into k
5.611 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.611 * [taylor]: Taking taylor expansion of 1/2 in n
5.611 * [backup-simplify]: Simplify 1/2 into 1/2
5.611 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.611 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.611 * [taylor]: Taking taylor expansion of -2 in n
5.611 * [backup-simplify]: Simplify -2 into -2
5.611 * [taylor]: Taking taylor expansion of n in n
5.611 * [backup-simplify]: Simplify 0 into 0
5.611 * [backup-simplify]: Simplify 1 into 1
5.611 * [backup-simplify]: Simplify (/ -2 1) into -2
5.611 * [backup-simplify]: Simplify (log -2) into (log -2)
5.612 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.612 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.612 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.612 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.613 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.613 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.613 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
5.613 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
5.613 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.613 * [taylor]: Taking taylor expansion of 1/2 in n
5.613 * [backup-simplify]: Simplify 1/2 into 1/2
5.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.613 * [taylor]: Taking taylor expansion of k in n
5.613 * [backup-simplify]: Simplify k into k
5.613 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.613 * [taylor]: Taking taylor expansion of 1/2 in n
5.613 * [backup-simplify]: Simplify 1/2 into 1/2
5.613 * [taylor]: Taking taylor expansion of (log PI) in n
5.613 * [taylor]: Taking taylor expansion of PI in n
5.613 * [backup-simplify]: Simplify PI into PI
5.613 * [backup-simplify]: Simplify (log PI) into (log PI)
5.613 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.613 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.614 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
5.614 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.614 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.614 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.614 * [taylor]: Taking taylor expansion of -1 in n
5.614 * [backup-simplify]: Simplify -1 into -1
5.614 * [taylor]: Taking taylor expansion of k in n
5.614 * [backup-simplify]: Simplify k into k
5.614 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.614 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.614 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.615 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.615 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
5.615 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
5.615 * [taylor]: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n
5.615 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.615 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
5.615 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
5.615 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.615 * [taylor]: Taking taylor expansion of 1/2 in n
5.615 * [backup-simplify]: Simplify 1/2 into 1/2
5.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.615 * [taylor]: Taking taylor expansion of k in n
5.615 * [backup-simplify]: Simplify k into k
5.615 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.616 * [taylor]: Taking taylor expansion of 1/2 in n
5.616 * [backup-simplify]: Simplify 1/2 into 1/2
5.616 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
5.616 * [taylor]: Taking taylor expansion of (/ -2 n) in n
5.616 * [taylor]: Taking taylor expansion of -2 in n
5.616 * [backup-simplify]: Simplify -2 into -2
5.616 * [taylor]: Taking taylor expansion of n in n
5.616 * [backup-simplify]: Simplify 0 into 0
5.616 * [backup-simplify]: Simplify 1 into 1
5.616 * [backup-simplify]: Simplify (/ -2 1) into -2
5.616 * [backup-simplify]: Simplify (log -2) into (log -2)
5.616 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.616 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.617 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.617 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
5.617 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.617 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n
5.617 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n
5.617 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n
5.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
5.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
5.618 * [taylor]: Taking taylor expansion of 1/2 in n
5.618 * [backup-simplify]: Simplify 1/2 into 1/2
5.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n
5.618 * [taylor]: Taking taylor expansion of k in n
5.618 * [backup-simplify]: Simplify k into k
5.618 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
5.618 * [taylor]: Taking taylor expansion of 1/2 in n
5.618 * [backup-simplify]: Simplify 1/2 into 1/2
5.618 * [taylor]: Taking taylor expansion of (log PI) in n
5.618 * [taylor]: Taking taylor expansion of PI in n
5.618 * [backup-simplify]: Simplify PI into PI
5.618 * [backup-simplify]: Simplify (log PI) into (log PI)
5.618 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
5.618 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
5.618 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))
5.619 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
5.619 * [taylor]: Taking taylor expansion of (/ -1 k) in n
5.619 * [taylor]: Taking taylor expansion of -1 in n
5.619 * [backup-simplify]: Simplify -1 into -1
5.619 * [taylor]: Taking taylor expansion of k in n
5.619 * [backup-simplify]: Simplify k into k
5.619 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
5.619 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
5.619 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
5.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
5.619 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.620 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
5.620 * [taylor]: Taking taylor expansion of (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
5.620 * [taylor]: Taking taylor expansion of (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
5.620 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
5.620 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
5.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.620 * [taylor]: Taking taylor expansion of 1/2 in k
5.620 * [backup-simplify]: Simplify 1/2 into 1/2
5.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.620 * [taylor]: Taking taylor expansion of k in k
5.620 * [backup-simplify]: Simplify 0 into 0
5.620 * [backup-simplify]: Simplify 1 into 1
5.620 * [backup-simplify]: Simplify (/ 1 1) into 1
5.620 * [taylor]: Taking taylor expansion of 1/2 in k
5.620 * [backup-simplify]: Simplify 1/2 into 1/2
5.621 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
5.621 * [taylor]: Taking taylor expansion of (log -2) in k
5.621 * [taylor]: Taking taylor expansion of -2 in k
5.621 * [backup-simplify]: Simplify -2 into -2
5.621 * [backup-simplify]: Simplify (log -2) into (log -2)
5.621 * [taylor]: Taking taylor expansion of (log n) in k
5.621 * [taylor]: Taking taylor expansion of n in k
5.621 * [backup-simplify]: Simplify n into n
5.621 * [backup-simplify]: Simplify (log n) into (log n)
5.621 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.621 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.621 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
5.622 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
5.622 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
5.622 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
5.622 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.622 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.622 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.622 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.622 * [taylor]: Taking taylor expansion of 1/2 in k
5.622 * [backup-simplify]: Simplify 1/2 into 1/2
5.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.623 * [taylor]: Taking taylor expansion of k in k
5.623 * [backup-simplify]: Simplify 0 into 0
5.623 * [backup-simplify]: Simplify 1 into 1
5.623 * [backup-simplify]: Simplify (/ 1 1) into 1
5.623 * [taylor]: Taking taylor expansion of 1/2 in k
5.623 * [backup-simplify]: Simplify 1/2 into 1/2
5.623 * [taylor]: Taking taylor expansion of (log PI) in k
5.623 * [taylor]: Taking taylor expansion of PI in k
5.623 * [backup-simplify]: Simplify PI into PI
5.623 * [backup-simplify]: Simplify (log PI) into (log PI)
5.623 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.624 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.624 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.625 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.625 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.625 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.625 * [taylor]: Taking taylor expansion of -1 in k
5.625 * [backup-simplify]: Simplify -1 into -1
5.625 * [taylor]: Taking taylor expansion of k in k
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify 1 into 1
5.625 * [backup-simplify]: Simplify (/ -1 1) into -1
5.625 * [backup-simplify]: Simplify (sqrt 0) into 0
5.626 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.627 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.627 * [backup-simplify]: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.627 * [backup-simplify]: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.629 * [backup-simplify]: Simplify (+ 0 0) into 0
5.629 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0
5.630 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
5.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
5.631 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
5.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
5.632 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
5.632 * [backup-simplify]: Simplify (+ 0 0) into 0
5.633 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.633 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
5.634 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.634 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
5.635 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
5.635 * [taylor]: Taking taylor expansion of 0 in k
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify 0 into 0
5.635 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0
5.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.638 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.639 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.639 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.641 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.642 * [backup-simplify]: Simplify (+ 0 0) into 0
5.643 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
5.644 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
5.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
5.648 * [backup-simplify]: Simplify (+ 0 0) into 0
5.648 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
5.649 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
5.650 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
5.653 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
5.653 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
5.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
5.654 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
5.654 * [taylor]: Taking taylor expansion of 0 in k
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.655 * [backup-simplify]: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
5.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.660 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.660 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))
5.662 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
5.662 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.662 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) into (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k))))
5.662 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in (k) around 0
5.662 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
5.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.662 * [taylor]: Taking taylor expansion of k in k
5.662 * [backup-simplify]: Simplify 0 into 0
5.662 * [backup-simplify]: Simplify 1 into 1
5.662 * [backup-simplify]: Simplify (/ 1 1) into 1
5.663 * [backup-simplify]: Simplify (sqrt 0) into 0
5.664 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.664 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.664 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.664 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.664 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.664 * [taylor]: Taking taylor expansion of 1/2 in k
5.664 * [backup-simplify]: Simplify 1/2 into 1/2
5.664 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.664 * [taylor]: Taking taylor expansion of 1/2 in k
5.664 * [backup-simplify]: Simplify 1/2 into 1/2
5.664 * [taylor]: Taking taylor expansion of k in k
5.664 * [backup-simplify]: Simplify 0 into 0
5.664 * [backup-simplify]: Simplify 1 into 1
5.664 * [taylor]: Taking taylor expansion of (log PI) in k
5.664 * [taylor]: Taking taylor expansion of PI in k
5.664 * [backup-simplify]: Simplify PI into PI
5.664 * [backup-simplify]: Simplify (log PI) into (log PI)
5.664 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.665 * [backup-simplify]: Simplify (- 0) into 0
5.665 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.665 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.666 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.666 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow PI (- 1/2 (* 1/2 k)))) in k
5.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
5.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.667 * [taylor]: Taking taylor expansion of k in k
5.667 * [backup-simplify]: Simplify 0 into 0
5.667 * [backup-simplify]: Simplify 1 into 1
5.667 * [backup-simplify]: Simplify (/ 1 1) into 1
5.667 * [backup-simplify]: Simplify (sqrt 0) into 0
5.669 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.669 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
5.669 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
5.669 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
5.669 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
5.669 * [taylor]: Taking taylor expansion of 1/2 in k
5.669 * [backup-simplify]: Simplify 1/2 into 1/2
5.669 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
5.669 * [taylor]: Taking taylor expansion of 1/2 in k
5.669 * [backup-simplify]: Simplify 1/2 into 1/2
5.669 * [taylor]: Taking taylor expansion of k in k
5.669 * [backup-simplify]: Simplify 0 into 0
5.669 * [backup-simplify]: Simplify 1 into 1
5.669 * [taylor]: Taking taylor expansion of (log PI) in k
5.669 * [taylor]: Taking taylor expansion of PI in k
5.669 * [backup-simplify]: Simplify PI into PI
5.669 * [backup-simplify]: Simplify (log PI) into (log PI)
5.670 * [backup-simplify]: Simplify (* 1/2 0) into 0
5.670 * [backup-simplify]: Simplify (- 0) into 0
5.671 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.672 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.673 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
5.674 * [backup-simplify]: Simplify (* 0 (pow PI 1/2)) into 0
5.674 * [backup-simplify]: Simplify 0 into 0
5.675 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
5.676 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
5.677 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.677 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.680 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
5.689 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
5.693 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))) into (- (* +nan.0 (sqrt PI)))
5.695 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt PI))) into (- (* +nan.0 (sqrt PI)))
5.698 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
5.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
5.700 * [backup-simplify]: Simplify (- 0) into 0
5.700 * [backup-simplify]: Simplify (+ 0 0) into 0
5.701 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
5.713 * [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)))
5.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.718 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.728 * [backup-simplify]: Simplify (+ (* 0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2)))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
5.735 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI)))))
5.741 * [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
5.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
5.743 * [backup-simplify]: Simplify (- 0) into 0
5.743 * [backup-simplify]: Simplify (+ 0 0) into 0
5.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0
5.762 * [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)))
5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.788 * [backup-simplify]: Simplify (+ (* 0 (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* +nan.0 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* +nan.0 (* -1/2 (* (log PI) (sqrt PI)))) (* +nan.0 (pow PI 1/2))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
5.810 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI))))))))
5.836 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt PI)))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (log PI) (sqrt PI))) (- (* +nan.0 (sqrt PI))))) k) (- (* +nan.0 (sqrt PI))))) into (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
5.836 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k))
5.836 * [approximate]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in (k) around 0
5.836 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
5.836 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.836 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.836 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.836 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.836 * [taylor]: Taking taylor expansion of 1/2 in k
5.836 * [backup-simplify]: Simplify 1/2 into 1/2
5.836 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.836 * [taylor]: Taking taylor expansion of 1/2 in k
5.836 * [backup-simplify]: Simplify 1/2 into 1/2
5.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.836 * [taylor]: Taking taylor expansion of k in k
5.837 * [backup-simplify]: Simplify 0 into 0
5.837 * [backup-simplify]: Simplify 1 into 1
5.837 * [backup-simplify]: Simplify (/ 1 1) into 1
5.837 * [taylor]: Taking taylor expansion of (log PI) in k
5.837 * [taylor]: Taking taylor expansion of PI in k
5.837 * [backup-simplify]: Simplify PI into PI
5.837 * [backup-simplify]: Simplify (log PI) into (log PI)
5.838 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.838 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.839 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.840 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.840 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.840 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.840 * [taylor]: Taking taylor expansion of k in k
5.840 * [backup-simplify]: Simplify 0 into 0
5.840 * [backup-simplify]: Simplify 1 into 1
5.841 * [backup-simplify]: Simplify (sqrt 0) into 0
5.843 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.843 * [taylor]: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (sqrt k)) in k
5.843 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
5.843 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
5.843 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
5.843 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
5.843 * [taylor]: Taking taylor expansion of 1/2 in k
5.843 * [backup-simplify]: Simplify 1/2 into 1/2
5.843 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.843 * [taylor]: Taking taylor expansion of 1/2 in k
5.843 * [backup-simplify]: Simplify 1/2 into 1/2
5.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.843 * [taylor]: Taking taylor expansion of k in k
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [backup-simplify]: Simplify (/ 1 1) into 1
5.843 * [taylor]: Taking taylor expansion of (log PI) in k
5.843 * [taylor]: Taking taylor expansion of PI in k
5.844 * [backup-simplify]: Simplify PI into PI
5.844 * [backup-simplify]: Simplify (log PI) into (log PI)
5.845 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.845 * [backup-simplify]: Simplify (- 1/2) into -1/2
5.845 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
5.846 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
5.847 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
5.847 * [taylor]: Taking taylor expansion of (sqrt k) in k
5.847 * [taylor]: Taking taylor expansion of k in k
5.847 * [backup-simplify]: Simplify 0 into 0
5.847 * [backup-simplify]: Simplify 1 into 1
5.848 * [backup-simplify]: Simplify (sqrt 0) into 0
5.849 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
5.849 * [backup-simplify]: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) into 0
5.849 * [backup-simplify]: Simplify 0 into 0
5.850 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (* 0 0)) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
5.850 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
5.853 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.854 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
5.854 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
5.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.859 * [backup-simplify]: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
5.860 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))
5.860 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 3)) (+ (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
5.861 * [backup-simplify]: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k)))
5.861 * [approximate]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k) around 0
5.861 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
5.861 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.861 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.861 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.861 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.861 * [taylor]: Taking taylor expansion of 1/2 in k
5.861 * [backup-simplify]: Simplify 1/2 into 1/2
5.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.861 * [taylor]: Taking taylor expansion of k in k
5.861 * [backup-simplify]: Simplify 0 into 0
5.861 * [backup-simplify]: Simplify 1 into 1
5.861 * [backup-simplify]: Simplify (/ 1 1) into 1
5.861 * [taylor]: Taking taylor expansion of 1/2 in k
5.862 * [backup-simplify]: Simplify 1/2 into 1/2
5.862 * [taylor]: Taking taylor expansion of (log PI) in k
5.862 * [taylor]: Taking taylor expansion of PI in k
5.862 * [backup-simplify]: Simplify PI into PI
5.862 * [backup-simplify]: Simplify (log PI) into (log PI)
5.862 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.863 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.864 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.864 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.865 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.865 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.865 * [taylor]: Taking taylor expansion of -1 in k
5.865 * [backup-simplify]: Simplify -1 into -1
5.865 * [taylor]: Taking taylor expansion of k in k
5.865 * [backup-simplify]: Simplify 0 into 0
5.865 * [backup-simplify]: Simplify 1 into 1
5.865 * [backup-simplify]: Simplify (/ -1 1) into -1
5.865 * [backup-simplify]: Simplify (sqrt 0) into 0
5.867 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.867 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.867 * [taylor]: Taking taylor expansion of (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
5.867 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
5.867 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
5.867 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
5.867 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
5.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
5.867 * [taylor]: Taking taylor expansion of 1/2 in k
5.867 * [backup-simplify]: Simplify 1/2 into 1/2
5.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k
5.867 * [taylor]: Taking taylor expansion of k in k
5.867 * [backup-simplify]: Simplify 0 into 0
5.867 * [backup-simplify]: Simplify 1 into 1
5.868 * [backup-simplify]: Simplify (/ 1 1) into 1
5.868 * [taylor]: Taking taylor expansion of 1/2 in k
5.868 * [backup-simplify]: Simplify 1/2 into 1/2
5.868 * [taylor]: Taking taylor expansion of (log PI) in k
5.868 * [taylor]: Taking taylor expansion of PI in k
5.868 * [backup-simplify]: Simplify PI into PI
5.868 * [backup-simplify]: Simplify (log PI) into (log PI)
5.869 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
5.869 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
5.870 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
5.871 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
5.871 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
5.871 * [taylor]: Taking taylor expansion of (/ -1 k) in k
5.871 * [taylor]: Taking taylor expansion of -1 in k
5.871 * [backup-simplify]: Simplify -1 into -1
5.871 * [taylor]: Taking taylor expansion of k in k
5.871 * [backup-simplify]: Simplify 0 into 0
5.871 * [backup-simplify]: Simplify 1 into 1
5.871 * [backup-simplify]: Simplify (/ -1 1) into -1
5.872 * [backup-simplify]: Simplify (sqrt 0) into 0
5.873 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
5.873 * [backup-simplify]: Simplify (/ (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) +nan.0) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.873 * [backup-simplify]: Simplify (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
5.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.878 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
5.879 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.879 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.884 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
5.885 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.886 * [backup-simplify]: Simplify (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))
5.886 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (pow (/ 1 (- k)) 2)) (+ (* (- (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))) (/ 1 (- k))) (* +nan.0 (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) into (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
5.887 * * * [progress]: simplifying candidates
5.887 * * * * [progress]: [ 1 / 254 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 2 / 254 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 3 / 254 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 4 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 5 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 6 / 254 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 7 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 8 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 9 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.887 * * * * [progress]: [ 10 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 11 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 12 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 13 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 14 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 15 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 16 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 17 / 254 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 18 / 254 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 19 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 20 / 254 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 21 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 22 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 23 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 24 / 254 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.888 * * * * [progress]: [ 25 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 26 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 27 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (* 1 (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 28 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt k))))>
5.889 * * * * [progress]: [ 29 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 30 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 31 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (sqrt k))))>
5.889 * * * * [progress]: [ 32 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 33 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 34 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (sqrt k))))>
5.889 * * * * [progress]: [ 35 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (pow PI 1/2) (pow PI (- (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 36 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (pow PI 1/2) (pow PI (- (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 37 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 38 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 39 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
5.889 * * * * [progress]: [ 40 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (- 1/2 (/ k 2))) 1) (sqrt k))))>
5.890 * * * * [progress]: [ 41 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (exp (log (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
5.890 * * * * [progress]: [ 42 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (log (exp (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
5.890 * * * * [progress]: [ 43 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
5.890 * * * * [progress]: [ 44 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
5.890 * * * * [progress]: [ 45 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
5.890 * * * * [progress]: [ 46 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
5.890 * * * * [progress]: [ 47 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))) (sqrt k))))>
5.890 * * * * [progress]: [ 48 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
5.890 * * * * [progress]: [ 49 / 254 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) 1))>
5.890 * * * * [progress]: [ 50 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.890 * * * * [progress]: [ 51 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.890 * * * * [progress]: [ 52 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))))>
5.890 * * * * [progress]: [ 53 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.890 * * * * [progress]: [ 54 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.890 * * * * [progress]: [ 55 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 56 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 57 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.891 * * * * [progress]: [ 58 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 59 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 60 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 61 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.891 * * * * [progress]: [ 62 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 63 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 64 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))))>
5.891 * * * * [progress]: [ 65 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.891 * * * * [progress]: [ 66 / 254 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.891 * * * * [progress]: [ 67 / 254 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.891 * * * * [progress]: [ 68 / 254 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
5.891 * * * * [progress]: [ 69 / 254 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.891 * * * * [progress]: [ 70 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.892 * * * * [progress]: [ 71 / 254 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.892 * * * * [progress]: [ 72 / 254 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.892 * * * * [progress]: [ 73 / 254 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow PI (- 1/2 (/ k 2)))) (* (pow (* n 2) (/ k 2)) (sqrt k))))>
5.892 * * * * [progress]: [ 74 / 254 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.892 * * * * [progress]: [ 75 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.892 * * * * [progress]: [ 76 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.892 * * * * [progress]: [ 77 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.892 * * * * [progress]: [ 78 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.892 * * * * [progress]: [ 79 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.892 * * * * [progress]: [ 80 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
5.892 * * * * [progress]: [ 81 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
5.892 * * * * [progress]: [ 82 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.892 * * * * [progress]: [ 83 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.893 * * * * [progress]: [ 84 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.893 * * * * [progress]: [ 85 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.893 * * * * [progress]: [ 86 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.893 * * * * [progress]: [ 87 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
5.893 * * * * [progress]: [ 88 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
5.893 * * * * [progress]: [ 89 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.893 * * * * [progress]: [ 90 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.893 * * * * [progress]: [ 91 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (cbrt (sqrt k)))))>
5.893 * * * * [progress]: [ 92 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (/ k 2))) (sqrt (cbrt k)))))>
5.893 * * * * [progress]: [ 93 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))))>
5.893 * * * * [progress]: [ 94 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (/ k 2))) (sqrt k))))>
5.893 * * * * [progress]: [ 95 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))))>
5.893 * * * * [progress]: [ 96 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (/ k 2))) (sqrt k))))>
5.893 * * * * [progress]: [ 97 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- (/ k 2))) (cbrt (sqrt k)))))>
5.894 * * * * [progress]: [ 98 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- (/ k 2))) (sqrt (cbrt k)))))>
5.894 * * * * [progress]: [ 99 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))))>
5.894 * * * * [progress]: [ 100 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt 1))) (/ (pow PI (- (/ k 2))) (sqrt k))))>
5.894 * * * * [progress]: [ 101 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))))>
5.894 * * * * [progress]: [ 102 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) 1)) (/ (pow PI (- (/ k 2))) (sqrt k))))>
5.894 * * * * [progress]: [ 103 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
5.894 * * * * [progress]: [ 104 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
5.894 * * * * [progress]: [ 105 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.894 * * * * [progress]: [ 106 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt 1))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt k))))>
5.894 * * * * [progress]: [ 107 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.894 * * * * [progress]: [ 108 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) 1)) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt k))))>
5.894 * * * * [progress]: [ 109 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
5.894 * * * * [progress]: [ 110 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
5.895 * * * * [progress]: [ 111 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.895 * * * * [progress]: [ 112 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt 1))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt k))))>
5.895 * * * * [progress]: [ 113 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.895 * * * * [progress]: [ 114 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) 1)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt k))))>
5.895 * * * * [progress]: [ 115 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
5.895 * * * * [progress]: [ 116 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
5.895 * * * * [progress]: [ 117 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.895 * * * * [progress]: [ 118 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (sqrt 1))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.895 * * * * [progress]: [ 119 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.895 * * * * [progress]: [ 120 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.895 * * * * [progress]: [ 121 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
5.895 * * * * [progress]: [ 122 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
5.895 * * * * [progress]: [ 123 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
5.895 * * * * [progress]: [ 124 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt 1))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
5.896 * * * * [progress]: [ 125 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
5.896 * * * * [progress]: [ 126 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1)) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
5.896 * * * * [progress]: [ 127 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
5.896 * * * * [progress]: [ 128 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))))>
5.896 * * * * [progress]: [ 129 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
5.896 * * * * [progress]: [ 130 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt 1))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
5.896 * * * * [progress]: [ 131 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
5.896 * * * * [progress]: [ 132 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
5.896 * * * * [progress]: [ 133 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
5.896 * * * * [progress]: [ 134 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))))>
5.896 * * * * [progress]: [ 135 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.896 * * * * [progress]: [ 136 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.896 * * * * [progress]: [ 137 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
5.897 * * * * [progress]: [ 138 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.897 * * * * [progress]: [ 139 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))))>
5.897 * * * * [progress]: [ 140 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))))>
5.897 * * * * [progress]: [ 141 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
5.897 * * * * [progress]: [ 142 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
5.897 * * * * [progress]: [ 143 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))))>
5.897 * * * * [progress]: [ 144 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) 1)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
5.897 * * * * [progress]: [ 145 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.897 * * * * [progress]: [ 146 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt k))))>
5.897 * * * * [progress]: [ 147 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.897 * * * * [progress]: [ 148 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.897 * * * * [progress]: [ 149 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.897 * * * * [progress]: [ 150 / 254 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.897 * * * * [progress]: [ 151 / 254 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.897 * * * * [progress]: [ 152 / 254 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.898 * * * * [progress]: [ 153 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.898 * * * * [progress]: [ 154 / 254 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))>
5.898 * * * * [progress]: [ 155 / 254 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (pow (* n 2) (/ k 2))))>
5.898 * * * * [progress]: [ 156 / 254 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.898 * * * * [progress]: [ 157 / 254 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))>
5.898 * * * * [progress]: [ 158 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) 1)))>
5.898 * * * * [progress]: [ 159 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.898 * * * * [progress]: [ 160 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))))>
5.898 * * * * [progress]: [ 161 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))))>
5.898 * * * * [progress]: [ 162 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.898 * * * * [progress]: [ 163 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (log (exp (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.898 * * * * [progress]: [ 164 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
5.898 * * * * [progress]: [ 165 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.898 * * * * [progress]: [ 166 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.898 * * * * [progress]: [ 167 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.899 * * * * [progress]: [ 168 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (- (pow PI (- 1/2 (/ k 2)))) (- (sqrt k)))))>
5.899 * * * * [progress]: [ 169 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))))))>
5.899 * * * * [progress]: [ 170 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- (/ k 2))) (sqrt (cbrt k))))))>
5.899 * * * * [progress]: [ 171 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))))))>
5.899 * * * * [progress]: [ 172 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt 1)) (/ (pow PI (- (/ k 2))) (sqrt k)))))>
5.899 * * * * [progress]: [ 173 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))))))>
5.899 * * * * [progress]: [ 174 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) 1) (/ (pow PI (- (/ k 2))) (sqrt k)))))>
5.899 * * * * [progress]: [ 175 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (cbrt (sqrt k))))))>
5.899 * * * * [progress]: [ 176 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- (/ k 2))) (sqrt (cbrt k))))))>
5.899 * * * * [progress]: [ 177 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))))))>
5.899 * * * * [progress]: [ 178 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt 1)) (/ (pow PI (- (/ k 2))) (sqrt k)))))>
5.899 * * * * [progress]: [ 179 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))))))>
5.899 * * * * [progress]: [ 180 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI 1/2) 1) (/ (pow PI (- (/ k 2))) (sqrt k)))))>
5.899 * * * * [progress]: [ 181 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
5.899 * * * * [progress]: [ 182 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
5.900 * * * * [progress]: [ 183 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.900 * * * * [progress]: [ 184 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt k)))))>
5.900 * * * * [progress]: [ 185 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.900 * * * * [progress]: [ 186 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) 1) (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt k)))))>
5.900 * * * * [progress]: [ 187 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
5.900 * * * * [progress]: [ 188 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
5.900 * * * * [progress]: [ 189 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.900 * * * * [progress]: [ 190 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt k)))))>
5.900 * * * * [progress]: [ 191 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.900 * * * * [progress]: [ 192 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt PI) (- 1/2 (/ k 2))) 1) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt k)))))>
5.900 * * * * [progress]: [ 193 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
5.900 * * * * [progress]: [ 194 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
5.900 * * * * [progress]: [ 195 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.901 * * * * [progress]: [ 196 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- 1/2 (/ k 2))) (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.901 * * * * [progress]: [ 197 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.901 * * * * [progress]: [ 198 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- 1/2 (/ k 2))) 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.901 * * * * [progress]: [ 199 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
5.901 * * * * [progress]: [ 200 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
5.901 * * * * [progress]: [ 201 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.901 * * * * [progress]: [ 202 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt 1)) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
5.901 * * * * [progress]: [ 203 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.901 * * * * [progress]: [ 204 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
5.901 * * * * [progress]: [ 205 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))))>
5.901 * * * * [progress]: [ 206 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k))))))>
5.901 * * * * [progress]: [ 207 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.901 * * * * [progress]: [ 208 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt 1)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
5.901 * * * * [progress]: [ 209 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))))>
5.902 * * * * [progress]: [ 210 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))))>
5.902 * * * * [progress]: [ 211 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))))))>
5.902 * * * * [progress]: [ 212 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k))))))>
5.902 * * * * [progress]: [ 213 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.902 * * * * [progress]: [ 214 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt 1)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.902 * * * * [progress]: [ 215 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))))))>
5.902 * * * * [progress]: [ 216 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 1) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.902 * * * * [progress]: [ 217 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k))))))>
5.902 * * * * [progress]: [ 218 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k))))))>
5.902 * * * * [progress]: [ 219 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
5.902 * * * * [progress]: [ 220 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
5.902 * * * * [progress]: [ 221 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))))>
5.902 * * * * [progress]: [ 222 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k)))))>
5.902 * * * * [progress]: [ 223 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))>
5.903 * * * * [progress]: [ 224 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt k)))))>
5.903 * * * * [progress]: [ 225 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
5.903 * * * * [progress]: [ 226 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
5.903 * * * * [progress]: [ 227 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
5.903 * * * * [progress]: [ 228 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
5.903 * * * * [progress]: [ 229 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1)) (sqrt k))))>
5.903 * * * * [progress]: [ 230 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
5.903 * * * * [progress]: [ 231 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (sqrt k))))>
5.903 * * * * [progress]: [ 232 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
5.903 * * * * [progress]: [ 233 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (/ (sqrt k) (pow PI (- (/ k 2)))))))>
5.903 * * * * [progress]: [ 234 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2)))))))>
5.903 * * * * [progress]: [ 235 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2)))))))>
5.903 * * * * [progress]: [ 236 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
5.903 * * * * [progress]: [ 237 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2))))))))>
5.903 * * * * [progress]: [ 238 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2))))))))>
5.904 * * * * [progress]: [ 239 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))))))>
5.904 * * * * [progress]: [ 240 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2))))))>
5.904 * * * * [progress]: [ 241 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (* (sqrt k) (pow PI (/ k 2))))))>
5.904 * * * * [progress]: [ 242 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))))>
5.904 * * * * [progress]: [ 243 / 254 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.904 * * * * [progress]: [ 244 / 254 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.904 * * * * [progress]: [ 245 / 254 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>
5.904 * * * * [progress]: [ 246 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) (sqrt k))))>
5.904 * * * * [progress]: [ 247 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
5.904 * * * * [progress]: [ 248 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (* 1/2 k))) (sqrt k))))>
5.904 * * * * [progress]: [ 249 / 254 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI)))))))))))))))))))))))))))))))))>
5.904 * * * * [progress]: [ 250 / 254 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))))>
5.905 * * * * [progress]: [ 251 / 254 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))))>
5.905 * * * * [progress]: [ 252 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))))>
5.905 * * * * [progress]: [ 253 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))))>
5.905 * * * * [progress]: [ 254 / 254 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))))>
5.910 * [simplify]: Simplifying:
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  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
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  (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))
  (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
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  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k))))
  (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
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  (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k))))
  (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))
  (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
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  (* (pow (* n 2) 1/2) (pow PI (- 1/2 (/ k 2))))
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  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
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  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))))
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  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt 1)))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) 1))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) (sqrt (sqrt k))))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI 1/2) 1))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt 1)))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) 1))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt PI) (- 1/2 (/ k 2))) 1))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k))))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- 1/2 (/ k 2))) 1))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k))))
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  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt 1)))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k)))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt 1)))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k))))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) 1))
  (* (pow (* n 2) (- 1/2 (/ k 2))) 1)
  (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))
  (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow (* n 2) (- (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))
  (* (pow (* n 2) 1/2) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (real->posit16 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))
  (- (log (pow PI (- 1/2 (/ k 2)))) (log (sqrt k)))
  (log (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (exp (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
  (* (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))
  (cbrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (* (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (sqrt (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (- (pow PI (- 1/2 (/ k 2))))
  (- (sqrt k))
  (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt 1))
  (/ (pow PI (- (/ k 2))) (sqrt k))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) 1)
  (/ (pow PI (- (/ k 2))) (sqrt k))
  (/ (pow PI 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- (/ k 2))) (cbrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- (/ k 2))) (sqrt (cbrt k)))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) (sqrt 1))
  (/ (pow PI (- (/ k 2))) (sqrt k))
  (/ (pow PI 1/2) (sqrt (sqrt k)))
  (/ (pow PI (- (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI 1/2) 1)
  (/ (pow PI (- (/ k 2))) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) 1)
  (/ (pow (cbrt PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) 1)
  (/ (pow (sqrt PI) (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow 1 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow 1 (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow 1 (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow 1 (- 1/2 (/ k 2))) 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt 1))
  (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
  (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1)
  (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (cbrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt 1))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1)
  (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))
  (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))
  (/ 1 (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (cbrt k)))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ 1 (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ 1 1)
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (cbrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (cbrt k)))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt 1))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt (sqrt k)))
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) 1)
  (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k))
  (/ 1 (sqrt k))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (* (cbrt k) (cbrt k))))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt 1))
  (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
  (/ (pow PI (- 1/2 (/ k 2))) 1)
  (/ (sqrt k) (pow PI (- (/ k 2))))
  (/ (sqrt k) (pow PI (- (/ k 2))))
  (/ (sqrt k) (pow (cbrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow (sqrt PI) (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (/ (sqrt k) (pow PI (- 1/2 (/ k 2))))
  (/ (sqrt k) (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (* (sqrt k) (pow PI (/ k 2)))
  (real->posit16 (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) k) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log PI) (* (log n) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log PI) 2) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2)))) (sqrt PI))) (- (* +nan.0 (* (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k)) (sqrt PI))))))))))))))))))))))))))))))))
  (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))))))))
  (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))))))))
  (- (+ (* +nan.0 (* (* (log PI) k) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) k)) (- (+ (* +nan.0 (* (sqrt PI) (pow k 2))) (- (+ (* +nan.0 (* (* (log PI) (pow k 2)) (sqrt PI))) (- (+ (* +nan.0 (sqrt PI)) (- (* +nan.0 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI))))))))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 3))) (- (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))))))))
  (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) k)) (- (+ (* +nan.0 (/ (pow PI (- 1/2 (* 1/2 k))) (pow k 2))) (- (* +nan.0 (pow PI (- 1/2 (* 1/2 k)))))))))
5.921 * * [simplify]: iteration 0: 442 enodes
6.114 * * [simplify]: iteration 1: 1246 enodes
6.443 * * [simplify]: iteration 2: 2000 enodes
6.955 * * [simplify]: iteration complete: 2000 enodes
6.955 * * [simplify]: Extracting #0: cost 181 inf + 0
6.956 * * [simplify]: Extracting #1: cost 406 inf + 43
6.959 * * [simplify]: Extracting #2: cost 582 inf + 1143
6.964 * * [simplify]: Extracting #3: cost 706 inf + 5254
6.979 * * [simplify]: Extracting #4: cost 644 inf + 30537
7.000 * * [simplify]: Extracting #5: cost 468 inf + 98629
7.042 * * [simplify]: Extracting #6: cost 247 inf + 203518
7.102 * * [simplify]: Extracting #7: cost 80 inf + 296880
7.168 * * [simplify]: Extracting #8: cost 44 inf + 325035
7.232 * * [simplify]: Extracting #9: cost 41 inf + 331530
7.298 * * [simplify]: Extracting #10: cost 38 inf + 338332
7.365 * * [simplify]: Extracting #11: cost 38 inf + 342559
7.434 * * [simplify]: Extracting #12: cost 42 inf + 345420
7.498 * * [simplify]: Extracting #13: cost 41 inf + 351060
7.541 * * [simplify]: Extracting #14: cost 48 inf + 352516
7.609 * * [simplify]: Extracting #15: cost 49 inf + 356365
7.657 * * [simplify]: Extracting #16: cost 35 inf + 365849
7.732 * * [simplify]: Extracting #17: cost 25 inf + 371468
7.804 * * [simplify]: Extracting #18: cost 21 inf + 376502
7.876 * * [simplify]: Extracting #19: cost 17 inf + 383286
7.964 * * [simplify]: Extracting #20: cost 13 inf + 391510
8.053 * * [simplify]: Extracting #21: cost 10 inf + 398578
8.138 * * [simplify]: Extracting #22: cost 8 inf + 403770
8.221 * * [simplify]: Extracting #23: cost 2 inf + 421466
8.331 * * [simplify]: Extracting #24: cost 0 inf + 427978
8.421 * * [simplify]: Extracting #25: cost 0 inf + 427818
8.538 * * [simplify]: Extracting #26: cost 0 inf + 427738
8.645 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* n 2) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (pow (* n 2) (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (sqrt PI)
  (pow PI (/ (- k) 2))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log PI))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (pow (pow PI (- 1/2 (/ k 2))) 3)
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (pow PI (- 1/4 (/ (/ k 2) 2)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))))
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  (+ (* (- (* (exp (* (log (* n 2)) 1/2)) (* (* (* k k) (* (log n) (log n))) (sqrt PI)))) +nan.0) (- (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (sqrt PI))) (- (* +nan.0 (* (sqrt PI) (* (* (* k k) (exp (* (log (* n 2)) 1/2))) (* (log 2) (log 2))))) (- (* +nan.0 (* (sqrt PI) (* k (exp (* (log (* n 2)) 1/2))))) (- (* (* (sqrt PI) (* (* (log 2) (exp (* (log (* n 2)) 1/2))) (* (* k k) (log PI)))) +nan.0) (- (* (* +nan.0 (* (exp (* (log (* n 2)) 1/2)) (* (log PI) k))) (sqrt PI)) (- (* (* +nan.0 (* (* (* k k) (log PI)) (exp (* (log (* n 2)) 1/2)))) (sqrt PI)) (- (* (* (log 2) (* (* (* k k) (exp (* (log (* n 2)) 1/2))) (sqrt PI))) +nan.0) (- (* (* (* (log 2) (* k (exp (* (log (* n 2)) 1/2)))) (sqrt PI)) +nan.0) (- (* (* (* (* (exp (* (log (* n 2)) 1/2)) (log PI)) (* (log n) (* k k))) (sqrt PI)) +nan.0) (- (* (* (* (* k k) (exp (* (log (* n 2)) 1/2))) (sqrt PI)) +nan.0) (- (* (* +nan.0 (* (* (* (log PI) (log PI)) (* k k)) (exp (* (log (* n 2)) 1/2)))) (sqrt PI)) (- (* +nan.0 (* (sqrt PI) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (- (* (* +nan.0 (* (log 2) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (sqrt PI)) (* (* (sqrt PI) (* (exp (* (log (* n 2)) 1/2)) (* k (log n)))) +nan.0)))))))))))))))
  (+ (* (* (/ (pow PI (- 1/2 (* k 1/2))) k) (/ (exp (* (- 1/2 (* k 1/2)) (log (* n 2)))) k)) (- +nan.0)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log (* n 2))))) k)) (/ (* +nan.0 (* (pow PI (- 1/2 (* k 1/2))) (exp (* (- 1/2 (* k 1/2)) (log (* n 2)))))) (* (* k k) k))))
  (+ (* (- +nan.0) (* (pow PI (- 1/2 (* k 1/2))) (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* k 1/2)))))) (- (* (/ (* (pow PI (- 1/2 (* k 1/2))) (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* k 1/2))))) k) +nan.0) (* +nan.0 (/ (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* k 1/2)))) (/ (* k k) (pow PI (- 1/2 (* k 1/2))))))))
  (- (- (* (* (log PI) (* k (sqrt PI))) +nan.0) (- (* +nan.0 (* k (sqrt PI))) (- (* (* +nan.0 (sqrt PI)) (* k k)) (- (* +nan.0 (* (sqrt PI) (* (* k k) (log PI)))) (- (* (sqrt PI) +nan.0) (* +nan.0 (* (* (log PI) (log PI)) (* (* k k) (sqrt PI))))))))))
  (+ (- (/ (* (pow PI (- 1/2 (* k 1/2))) +nan.0) k)) (- (/ (* (pow PI (- 1/2 (* k 1/2))) +nan.0) (* (* k k) k)) (/ (* (pow PI (- 1/2 (* k 1/2))) +nan.0) (* k k))))
  (+ (- (/ (* (pow PI (- 1/2 (* k 1/2))) +nan.0) k)) (- (/ (* (pow PI (- 1/2 (* k 1/2))) +nan.0) (* k k)) (* (pow PI (- 1/2 (* k 1/2))) +nan.0)))
8.689 * * * [progress]: adding candidates to table
10.042 * * [progress]: iteration 3 / 4
10.042 * * * [progress]: picking best candidate
10.090 * * * * [pick]: Picked  #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
10.090 * * * [progress]: localizing error
10.165 * * * [progress]: generating rewritten candidates
10.165 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
10.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
10.222 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
10.237 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2)
10.252 * * * [progress]: generating series expansions
10.252 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
10.252 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
10.252 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
10.252 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
10.252 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
10.252 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
10.252 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.252 * [taylor]: Taking taylor expansion of 1/2 in k
10.252 * [backup-simplify]: Simplify 1/2 into 1/2
10.252 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.252 * [taylor]: Taking taylor expansion of 1/2 in k
10.252 * [backup-simplify]: Simplify 1/2 into 1/2
10.252 * [taylor]: Taking taylor expansion of k in k
10.252 * [backup-simplify]: Simplify 0 into 0
10.252 * [backup-simplify]: Simplify 1 into 1
10.252 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
10.252 * [taylor]: Taking taylor expansion of (* 2 n) in k
10.252 * [taylor]: Taking taylor expansion of 2 in k
10.252 * [backup-simplify]: Simplify 2 into 2
10.252 * [taylor]: Taking taylor expansion of n in k
10.252 * [backup-simplify]: Simplify n into n
10.253 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
10.253 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
10.253 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.254 * [backup-simplify]: Simplify (- 0) into 0
10.254 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.255 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
10.255 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
10.255 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.255 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.255 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.255 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.255 * [taylor]: Taking taylor expansion of 1/2 in n
10.255 * [backup-simplify]: Simplify 1/2 into 1/2
10.255 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.255 * [taylor]: Taking taylor expansion of 1/2 in n
10.255 * [backup-simplify]: Simplify 1/2 into 1/2
10.255 * [taylor]: Taking taylor expansion of k in n
10.255 * [backup-simplify]: Simplify k into k
10.255 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.255 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.255 * [taylor]: Taking taylor expansion of 2 in n
10.255 * [backup-simplify]: Simplify 2 into 2
10.255 * [taylor]: Taking taylor expansion of n in n
10.255 * [backup-simplify]: Simplify 0 into 0
10.255 * [backup-simplify]: Simplify 1 into 1
10.256 * [backup-simplify]: Simplify (* 2 0) into 0
10.256 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.257 * [backup-simplify]: Simplify (log 2) into (log 2)
10.257 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.257 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.257 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.258 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.259 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.259 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.259 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.259 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.259 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.259 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.259 * [taylor]: Taking taylor expansion of 1/2 in n
10.259 * [backup-simplify]: Simplify 1/2 into 1/2
10.259 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.259 * [taylor]: Taking taylor expansion of 1/2 in n
10.259 * [backup-simplify]: Simplify 1/2 into 1/2
10.259 * [taylor]: Taking taylor expansion of k in n
10.259 * [backup-simplify]: Simplify k into k
10.259 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.259 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.259 * [taylor]: Taking taylor expansion of 2 in n
10.259 * [backup-simplify]: Simplify 2 into 2
10.260 * [taylor]: Taking taylor expansion of n in n
10.260 * [backup-simplify]: Simplify 0 into 0
10.260 * [backup-simplify]: Simplify 1 into 1
10.260 * [backup-simplify]: Simplify (* 2 0) into 0
10.261 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.261 * [backup-simplify]: Simplify (log 2) into (log 2)
10.261 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.261 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.261 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.262 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.263 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.263 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.263 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
10.263 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
10.263 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
10.263 * [taylor]: Taking taylor expansion of (log 2) in k
10.263 * [taylor]: Taking taylor expansion of 2 in k
10.264 * [backup-simplify]: Simplify 2 into 2
10.264 * [backup-simplify]: Simplify (log 2) into (log 2)
10.264 * [taylor]: Taking taylor expansion of (log n) in k
10.264 * [taylor]: Taking taylor expansion of n in k
10.264 * [backup-simplify]: Simplify n into n
10.264 * [backup-simplify]: Simplify (log n) into (log n)
10.264 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.264 * [taylor]: Taking taylor expansion of 1/2 in k
10.264 * [backup-simplify]: Simplify 1/2 into 1/2
10.264 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.264 * [taylor]: Taking taylor expansion of 1/2 in k
10.264 * [backup-simplify]: Simplify 1/2 into 1/2
10.264 * [taylor]: Taking taylor expansion of k in k
10.264 * [backup-simplify]: Simplify 0 into 0
10.264 * [backup-simplify]: Simplify 1 into 1
10.265 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
10.265 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.266 * [backup-simplify]: Simplify (- 0) into 0
10.266 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.266 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
10.267 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
10.267 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
10.269 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
10.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.271 * [backup-simplify]: Simplify (- 0) into 0
10.271 * [backup-simplify]: Simplify (+ 0 0) into 0
10.272 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.273 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
10.274 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.274 * [taylor]: Taking taylor expansion of 0 in k
10.274 * [backup-simplify]: Simplify 0 into 0
10.274 * [backup-simplify]: Simplify 0 into 0
10.275 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.275 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.276 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.277 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.278 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.279 * [backup-simplify]: Simplify (+ 0 0) into 0
10.280 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
10.281 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
10.283 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
10.284 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.289 * [backup-simplify]: Simplify (- 0) into 0
10.289 * [backup-simplify]: Simplify (+ 0 0) into 0
10.290 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.291 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
10.293 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.293 * [taylor]: Taking taylor expansion of 0 in k
10.293 * [backup-simplify]: Simplify 0 into 0
10.293 * [backup-simplify]: Simplify 0 into 0
10.293 * [backup-simplify]: Simplify 0 into 0
10.294 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.294 * [backup-simplify]: Simplify (- 0) into 0
10.295 * [backup-simplify]: Simplify (+ 0 0) into 0
10.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.299 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.300 * [backup-simplify]: Simplify (+ 0 0) into 0
10.301 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
10.304 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
10.307 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
10.312 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
10.312 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
10.312 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
10.312 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
10.312 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
10.312 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
10.312 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.312 * [taylor]: Taking taylor expansion of 1/2 in k
10.312 * [backup-simplify]: Simplify 1/2 into 1/2
10.312 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.312 * [taylor]: Taking taylor expansion of 1/2 in k
10.312 * [backup-simplify]: Simplify 1/2 into 1/2
10.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.313 * [taylor]: Taking taylor expansion of k in k
10.313 * [backup-simplify]: Simplify 0 into 0
10.313 * [backup-simplify]: Simplify 1 into 1
10.313 * [backup-simplify]: Simplify (/ 1 1) into 1
10.313 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
10.313 * [taylor]: Taking taylor expansion of (/ 2 n) in k
10.313 * [taylor]: Taking taylor expansion of 2 in k
10.313 * [backup-simplify]: Simplify 2 into 2
10.313 * [taylor]: Taking taylor expansion of n in k
10.313 * [backup-simplify]: Simplify n into n
10.313 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
10.313 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
10.314 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.314 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.315 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.315 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
10.315 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
10.315 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.315 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
10.315 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
10.315 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.315 * [taylor]: Taking taylor expansion of 1/2 in n
10.315 * [backup-simplify]: Simplify 1/2 into 1/2
10.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.315 * [taylor]: Taking taylor expansion of 1/2 in n
10.315 * [backup-simplify]: Simplify 1/2 into 1/2
10.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.315 * [taylor]: Taking taylor expansion of k in n
10.315 * [backup-simplify]: Simplify k into k
10.315 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.315 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
10.315 * [taylor]: Taking taylor expansion of (/ 2 n) in n
10.315 * [taylor]: Taking taylor expansion of 2 in n
10.315 * [backup-simplify]: Simplify 2 into 2
10.315 * [taylor]: Taking taylor expansion of n in n
10.315 * [backup-simplify]: Simplify 0 into 0
10.315 * [backup-simplify]: Simplify 1 into 1
10.316 * [backup-simplify]: Simplify (/ 2 1) into 2
10.316 * [backup-simplify]: Simplify (log 2) into (log 2)
10.316 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.316 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.316 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.317 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.318 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
10.318 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.318 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
10.318 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
10.318 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
10.318 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
10.318 * [taylor]: Taking taylor expansion of 1/2 in n
10.318 * [backup-simplify]: Simplify 1/2 into 1/2
10.319 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.319 * [taylor]: Taking taylor expansion of 1/2 in n
10.319 * [backup-simplify]: Simplify 1/2 into 1/2
10.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.319 * [taylor]: Taking taylor expansion of k in n
10.319 * [backup-simplify]: Simplify k into k
10.319 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.319 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
10.319 * [taylor]: Taking taylor expansion of (/ 2 n) in n
10.319 * [taylor]: Taking taylor expansion of 2 in n
10.319 * [backup-simplify]: Simplify 2 into 2
10.319 * [taylor]: Taking taylor expansion of n in n
10.319 * [backup-simplify]: Simplify 0 into 0
10.319 * [backup-simplify]: Simplify 1 into 1
10.319 * [backup-simplify]: Simplify (/ 2 1) into 2
10.320 * [backup-simplify]: Simplify (log 2) into (log 2)
10.320 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.320 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
10.320 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
10.321 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.321 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
10.322 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.322 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
10.322 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
10.322 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
10.322 * [taylor]: Taking taylor expansion of 1/2 in k
10.322 * [backup-simplify]: Simplify 1/2 into 1/2
10.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.322 * [taylor]: Taking taylor expansion of 1/2 in k
10.322 * [backup-simplify]: Simplify 1/2 into 1/2
10.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.322 * [taylor]: Taking taylor expansion of k in k
10.322 * [backup-simplify]: Simplify 0 into 0
10.322 * [backup-simplify]: Simplify 1 into 1
10.323 * [backup-simplify]: Simplify (/ 1 1) into 1
10.323 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
10.323 * [taylor]: Taking taylor expansion of (log 2) in k
10.323 * [taylor]: Taking taylor expansion of 2 in k
10.323 * [backup-simplify]: Simplify 2 into 2
10.323 * [backup-simplify]: Simplify (log 2) into (log 2)
10.323 * [taylor]: Taking taylor expansion of (log n) in k
10.323 * [taylor]: Taking taylor expansion of n in k
10.323 * [backup-simplify]: Simplify n into n
10.323 * [backup-simplify]: Simplify (log n) into (log n)
10.324 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.324 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.324 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.325 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.325 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
10.325 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
10.326 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.326 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
10.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
10.329 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.330 * [backup-simplify]: Simplify (- 0) into 0
10.330 * [backup-simplify]: Simplify (+ 0 0) into 0
10.331 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.332 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
10.333 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.333 * [taylor]: Taking taylor expansion of 0 in k
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 0 into 0
10.333 * [backup-simplify]: Simplify 0 into 0
10.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.337 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.338 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.338 * [backup-simplify]: Simplify (- 0) into 0
10.339 * [backup-simplify]: Simplify (+ 0 0) into 0
10.339 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.340 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
10.347 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.347 * [taylor]: Taking taylor expansion of 0 in k
10.347 * [backup-simplify]: Simplify 0 into 0
10.347 * [backup-simplify]: Simplify 0 into 0
10.347 * [backup-simplify]: Simplify 0 into 0
10.347 * [backup-simplify]: Simplify 0 into 0
10.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.354 * [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
10.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.355 * [backup-simplify]: Simplify (- 0) into 0
10.356 * [backup-simplify]: Simplify (+ 0 0) into 0
10.357 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
10.358 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
10.360 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.360 * [taylor]: Taking taylor expansion of 0 in k
10.360 * [backup-simplify]: Simplify 0 into 0
10.360 * [backup-simplify]: Simplify 0 into 0
10.361 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
10.361 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
10.361 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
10.361 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
10.361 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
10.361 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
10.361 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.361 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.361 * [taylor]: Taking taylor expansion of 1/2 in k
10.361 * [backup-simplify]: Simplify 1/2 into 1/2
10.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.361 * [taylor]: Taking taylor expansion of k in k
10.361 * [backup-simplify]: Simplify 0 into 0
10.361 * [backup-simplify]: Simplify 1 into 1
10.362 * [backup-simplify]: Simplify (/ 1 1) into 1
10.362 * [taylor]: Taking taylor expansion of 1/2 in k
10.362 * [backup-simplify]: Simplify 1/2 into 1/2
10.362 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
10.362 * [taylor]: Taking taylor expansion of (/ -2 n) in k
10.362 * [taylor]: Taking taylor expansion of -2 in k
10.362 * [backup-simplify]: Simplify -2 into -2
10.362 * [taylor]: Taking taylor expansion of n in k
10.362 * [backup-simplify]: Simplify n into n
10.362 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
10.362 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
10.363 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.363 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.363 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
10.363 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
10.363 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.364 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
10.364 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
10.364 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.364 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.364 * [taylor]: Taking taylor expansion of 1/2 in n
10.364 * [backup-simplify]: Simplify 1/2 into 1/2
10.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.364 * [taylor]: Taking taylor expansion of k in n
10.364 * [backup-simplify]: Simplify k into k
10.364 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.364 * [taylor]: Taking taylor expansion of 1/2 in n
10.364 * [backup-simplify]: Simplify 1/2 into 1/2
10.364 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
10.364 * [taylor]: Taking taylor expansion of (/ -2 n) in n
10.364 * [taylor]: Taking taylor expansion of -2 in n
10.364 * [backup-simplify]: Simplify -2 into -2
10.364 * [taylor]: Taking taylor expansion of n in n
10.364 * [backup-simplify]: Simplify 0 into 0
10.364 * [backup-simplify]: Simplify 1 into 1
10.364 * [backup-simplify]: Simplify (/ -2 1) into -2
10.365 * [backup-simplify]: Simplify (log -2) into (log -2)
10.365 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.365 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.366 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.366 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
10.367 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.367 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
10.367 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
10.367 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
10.367 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
10.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
10.367 * [taylor]: Taking taylor expansion of 1/2 in n
10.367 * [backup-simplify]: Simplify 1/2 into 1/2
10.367 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.367 * [taylor]: Taking taylor expansion of k in n
10.367 * [backup-simplify]: Simplify k into k
10.367 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.367 * [taylor]: Taking taylor expansion of 1/2 in n
10.367 * [backup-simplify]: Simplify 1/2 into 1/2
10.367 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
10.367 * [taylor]: Taking taylor expansion of (/ -2 n) in n
10.367 * [taylor]: Taking taylor expansion of -2 in n
10.367 * [backup-simplify]: Simplify -2 into -2
10.367 * [taylor]: Taking taylor expansion of n in n
10.367 * [backup-simplify]: Simplify 0 into 0
10.367 * [backup-simplify]: Simplify 1 into 1
10.368 * [backup-simplify]: Simplify (/ -2 1) into -2
10.368 * [backup-simplify]: Simplify (log -2) into (log -2)
10.368 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
10.368 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
10.369 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.370 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
10.370 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.370 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
10.370 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
10.371 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
10.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
10.371 * [taylor]: Taking taylor expansion of 1/2 in k
10.371 * [backup-simplify]: Simplify 1/2 into 1/2
10.371 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.371 * [taylor]: Taking taylor expansion of k in k
10.371 * [backup-simplify]: Simplify 0 into 0
10.371 * [backup-simplify]: Simplify 1 into 1
10.371 * [backup-simplify]: Simplify (/ 1 1) into 1
10.371 * [taylor]: Taking taylor expansion of 1/2 in k
10.371 * [backup-simplify]: Simplify 1/2 into 1/2
10.371 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
10.371 * [taylor]: Taking taylor expansion of (log -2) in k
10.371 * [taylor]: Taking taylor expansion of -2 in k
10.371 * [backup-simplify]: Simplify -2 into -2
10.372 * [backup-simplify]: Simplify (log -2) into (log -2)
10.372 * [taylor]: Taking taylor expansion of (log n) in k
10.372 * [taylor]: Taking taylor expansion of n in k
10.372 * [backup-simplify]: Simplify n into n
10.372 * [backup-simplify]: Simplify (log n) into (log n)
10.372 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
10.373 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.373 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
10.373 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
10.374 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
10.374 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.375 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
10.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
10.377 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
10.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
10.379 * [backup-simplify]: Simplify (+ 0 0) into 0
10.379 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.380 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
10.381 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.381 * [taylor]: Taking taylor expansion of 0 in k
10.381 * [backup-simplify]: Simplify 0 into 0
10.381 * [backup-simplify]: Simplify 0 into 0
10.381 * [backup-simplify]: Simplify 0 into 0
10.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.385 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
10.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
10.387 * [backup-simplify]: Simplify (+ 0 0) into 0
10.388 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.389 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
10.391 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.391 * [taylor]: Taking taylor expansion of 0 in k
10.391 * [backup-simplify]: Simplify 0 into 0
10.391 * [backup-simplify]: Simplify 0 into 0
10.391 * [backup-simplify]: Simplify 0 into 0
10.391 * [backup-simplify]: Simplify 0 into 0
10.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.394 * [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
10.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
10.396 * [backup-simplify]: Simplify (+ 0 0) into 0
10.396 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
10.397 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
10.398 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.398 * [taylor]: Taking taylor expansion of 0 in k
10.398 * [backup-simplify]: Simplify 0 into 0
10.398 * [backup-simplify]: Simplify 0 into 0
10.399 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
10.399 * * * * [progress]: [ 2 / 4 ] generating series at (2)
10.399 * [backup-simplify]: Simplify (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) into (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k)))
10.399 * [approximate]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (n k) around 0
10.399 * [taylor]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k
10.399 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k
10.400 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) in k
10.400 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))) in k
10.400 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) in k
10.400 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) in k
10.400 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.400 * [taylor]: Taking taylor expansion of 1/2 in k
10.400 * [backup-simplify]: Simplify 1/2 into 1/2
10.400 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.400 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
10.400 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.400 * [taylor]: Taking taylor expansion of 1/2 in k
10.400 * [backup-simplify]: Simplify 1/2 into 1/2
10.401 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.401 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.401 * [taylor]: Taking taylor expansion of k in k
10.401 * [backup-simplify]: Simplify 0 into 0
10.401 * [backup-simplify]: Simplify 1 into 1
10.401 * [backup-simplify]: Simplify (sqrt 0) into 0
10.402 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.402 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) in k
10.402 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) in k
10.402 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI))) in k
10.402 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) in k
10.402 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in k
10.402 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
10.402 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.402 * [taylor]: Taking taylor expansion of 1/2 in k
10.402 * [backup-simplify]: Simplify 1/2 into 1/2
10.403 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.403 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.403 * [taylor]: Taking taylor expansion of k in k
10.403 * [backup-simplify]: Simplify 0 into 0
10.403 * [backup-simplify]: Simplify 1 into 1
10.403 * [backup-simplify]: Simplify (sqrt 0) into 0
10.404 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.404 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.404 * [taylor]: Taking taylor expansion of 1/2 in k
10.404 * [backup-simplify]: Simplify 1/2 into 1/2
10.405 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.405 * [taylor]: Taking taylor expansion of (log PI) in k
10.405 * [taylor]: Taking taylor expansion of PI in k
10.405 * [backup-simplify]: Simplify PI into PI
10.405 * [backup-simplify]: Simplify (log PI) into (log PI)
10.406 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
10.406 * [backup-simplify]: Simplify (+ 0 (sqrt 1/2)) into (sqrt 1/2)
10.407 * [backup-simplify]: Simplify (* (sqrt 1/2) (log PI)) into (* (log PI) (sqrt 1/2))
10.408 * [backup-simplify]: Simplify (exp (* (log PI) (sqrt 1/2))) into (exp (* (log PI) (sqrt 1/2)))
10.410 * [backup-simplify]: Simplify (log (exp (* (log PI) (sqrt 1/2)))) into (* (log PI) (sqrt 1/2))
10.411 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
10.411 * [backup-simplify]: Simplify (- 0) into 0
10.411 * [backup-simplify]: Simplify (+ (sqrt 1/2) 0) into (sqrt 1/2)
10.413 * [backup-simplify]: Simplify (* (sqrt 1/2) (* (log PI) (sqrt 1/2))) into (* (log PI) (pow (sqrt 1/2) 2))
10.415 * [backup-simplify]: Simplify (exp (* (log PI) (pow (sqrt 1/2) 2))) into (exp (* (log PI) (pow (sqrt 1/2) 2)))
10.415 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
10.415 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
10.415 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
10.415 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.415 * [taylor]: Taking taylor expansion of 1/2 in k
10.415 * [backup-simplify]: Simplify 1/2 into 1/2
10.415 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.415 * [taylor]: Taking taylor expansion of 1/2 in k
10.415 * [backup-simplify]: Simplify 1/2 into 1/2
10.415 * [taylor]: Taking taylor expansion of k in k
10.415 * [backup-simplify]: Simplify 0 into 0
10.415 * [backup-simplify]: Simplify 1 into 1
10.415 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
10.415 * [taylor]: Taking taylor expansion of (* 2 n) in k
10.415 * [taylor]: Taking taylor expansion of 2 in k
10.415 * [backup-simplify]: Simplify 2 into 2
10.415 * [taylor]: Taking taylor expansion of n in k
10.415 * [backup-simplify]: Simplify n into n
10.415 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
10.415 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
10.415 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.416 * [backup-simplify]: Simplify (- 0) into 0
10.416 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.416 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
10.416 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
10.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.416 * [taylor]: Taking taylor expansion of k in k
10.416 * [backup-simplify]: Simplify 0 into 0
10.416 * [backup-simplify]: Simplify 1 into 1
10.416 * [backup-simplify]: Simplify (/ 1 1) into 1
10.417 * [backup-simplify]: Simplify (sqrt 0) into 0
10.417 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.417 * [taylor]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
10.418 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n
10.418 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) in n
10.418 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))) in n
10.418 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) in n
10.418 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) in n
10.418 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.418 * [taylor]: Taking taylor expansion of 1/2 in n
10.418 * [backup-simplify]: Simplify 1/2 into 1/2
10.418 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.418 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.418 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in n
10.418 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.418 * [taylor]: Taking taylor expansion of 1/2 in n
10.418 * [backup-simplify]: Simplify 1/2 into 1/2
10.419 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.419 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.419 * [taylor]: Taking taylor expansion of k in n
10.419 * [backup-simplify]: Simplify k into k
10.419 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.419 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) in n
10.419 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) in n
10.419 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI))) in n
10.419 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) in n
10.419 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in n
10.419 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in n
10.419 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.419 * [taylor]: Taking taylor expansion of 1/2 in n
10.419 * [backup-simplify]: Simplify 1/2 into 1/2
10.420 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.420 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.420 * [taylor]: Taking taylor expansion of k in n
10.420 * [backup-simplify]: Simplify k into k
10.420 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.420 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.420 * [taylor]: Taking taylor expansion of 1/2 in n
10.420 * [backup-simplify]: Simplify 1/2 into 1/2
10.420 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.421 * [taylor]: Taking taylor expansion of (log PI) in n
10.421 * [taylor]: Taking taylor expansion of PI in n
10.421 * [backup-simplify]: Simplify PI into PI
10.421 * [backup-simplify]: Simplify (log PI) into (log PI)
10.421 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt k)) into (* (sqrt 1/2) (sqrt k))
10.422 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) into (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))
10.423 * [backup-simplify]: Simplify (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) into (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))
10.424 * [backup-simplify]: Simplify (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) into (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))
10.426 * [backup-simplify]: Simplify (log (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) into (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))
10.426 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt k)) into (* (sqrt 1/2) (sqrt k))
10.427 * [backup-simplify]: Simplify (- (* (sqrt 1/2) (sqrt k))) into (- (* (sqrt 1/2) (sqrt k)))
10.427 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* (sqrt 1/2) (sqrt k)))) into (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))
10.429 * [backup-simplify]: Simplify (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) into (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))
10.432 * [backup-simplify]: Simplify (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) into (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))
10.432 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.432 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.432 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.432 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.432 * [taylor]: Taking taylor expansion of 1/2 in n
10.432 * [backup-simplify]: Simplify 1/2 into 1/2
10.432 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.432 * [taylor]: Taking taylor expansion of 1/2 in n
10.432 * [backup-simplify]: Simplify 1/2 into 1/2
10.432 * [taylor]: Taking taylor expansion of k in n
10.432 * [backup-simplify]: Simplify k into k
10.432 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.432 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.432 * [taylor]: Taking taylor expansion of 2 in n
10.432 * [backup-simplify]: Simplify 2 into 2
10.432 * [taylor]: Taking taylor expansion of n in n
10.432 * [backup-simplify]: Simplify 0 into 0
10.432 * [backup-simplify]: Simplify 1 into 1
10.433 * [backup-simplify]: Simplify (* 2 0) into 0
10.433 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.434 * [backup-simplify]: Simplify (log 2) into (log 2)
10.434 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.434 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.434 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.435 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.435 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.436 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.436 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
10.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.436 * [taylor]: Taking taylor expansion of k in n
10.436 * [backup-simplify]: Simplify k into k
10.436 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.436 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
10.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.436 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
10.436 * [taylor]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n
10.437 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n
10.437 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) in n
10.437 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))) in n
10.437 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) in n
10.437 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) in n
10.437 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.437 * [taylor]: Taking taylor expansion of 1/2 in n
10.437 * [backup-simplify]: Simplify 1/2 into 1/2
10.437 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.438 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in n
10.438 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.438 * [taylor]: Taking taylor expansion of 1/2 in n
10.438 * [backup-simplify]: Simplify 1/2 into 1/2
10.438 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.439 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.439 * [taylor]: Taking taylor expansion of k in n
10.439 * [backup-simplify]: Simplify k into k
10.439 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.439 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) in n
10.439 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) in n
10.439 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI))) in n
10.439 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) in n
10.440 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in n
10.440 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in n
10.440 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.440 * [taylor]: Taking taylor expansion of 1/2 in n
10.440 * [backup-simplify]: Simplify 1/2 into 1/2
10.440 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.441 * [taylor]: Taking taylor expansion of (sqrt k) in n
10.441 * [taylor]: Taking taylor expansion of k in n
10.441 * [backup-simplify]: Simplify k into k
10.441 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
10.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
10.441 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
10.441 * [taylor]: Taking taylor expansion of 1/2 in n
10.441 * [backup-simplify]: Simplify 1/2 into 1/2
10.441 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.442 * [taylor]: Taking taylor expansion of (log PI) in n
10.442 * [taylor]: Taking taylor expansion of PI in n
10.442 * [backup-simplify]: Simplify PI into PI
10.443 * [backup-simplify]: Simplify (log PI) into (log PI)
10.443 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt k)) into (* (sqrt 1/2) (sqrt k))
10.444 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) into (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))
10.445 * [backup-simplify]: Simplify (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) into (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))
10.447 * [backup-simplify]: Simplify (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) into (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))
10.448 * [backup-simplify]: Simplify (log (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) into (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))
10.448 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt k)) into (* (sqrt 1/2) (sqrt k))
10.449 * [backup-simplify]: Simplify (- (* (sqrt 1/2) (sqrt k))) into (- (* (sqrt 1/2) (sqrt k)))
10.450 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* (sqrt 1/2) (sqrt k)))) into (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))
10.452 * [backup-simplify]: Simplify (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) into (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))
10.454 * [backup-simplify]: Simplify (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) into (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))
10.454 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
10.454 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
10.454 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
10.454 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
10.454 * [taylor]: Taking taylor expansion of 1/2 in n
10.454 * [backup-simplify]: Simplify 1/2 into 1/2
10.454 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
10.454 * [taylor]: Taking taylor expansion of 1/2 in n
10.454 * [backup-simplify]: Simplify 1/2 into 1/2
10.454 * [taylor]: Taking taylor expansion of k in n
10.454 * [backup-simplify]: Simplify k into k
10.454 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
10.454 * [taylor]: Taking taylor expansion of (* 2 n) in n
10.454 * [taylor]: Taking taylor expansion of 2 in n
10.454 * [backup-simplify]: Simplify 2 into 2
10.454 * [taylor]: Taking taylor expansion of n in n
10.454 * [backup-simplify]: Simplify 0 into 0
10.454 * [backup-simplify]: Simplify 1 into 1
10.455 * [backup-simplify]: Simplify (* 2 0) into 0
10.455 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
10.456 * [backup-simplify]: Simplify (log 2) into (log 2)
10.456 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
10.456 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
10.456 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
10.457 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.457 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
10.458 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
10.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
10.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n
10.458 * [taylor]: Taking taylor expansion of k in n
10.458 * [backup-simplify]: Simplify k into k
10.458 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
10.458 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
10.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
10.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
10.461 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))))
10.464 * [backup-simplify]: Simplify (* (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) into (* (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k)))
10.464 * [taylor]: Taking taylor expansion of (* (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) (sqrt (/ 1 k))) in k
10.464 * [taylor]: Taking taylor expansion of (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) in k
10.464 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) in k
10.464 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) in k
10.464 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) in k
10.464 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.464 * [taylor]: Taking taylor expansion of 1/2 in k
10.464 * [backup-simplify]: Simplify 1/2 into 1/2
10.464 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.465 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
10.465 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.465 * [taylor]: Taking taylor expansion of 1/2 in k
10.465 * [backup-simplify]: Simplify 1/2 into 1/2
10.465 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.466 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.466 * [taylor]: Taking taylor expansion of k in k
10.466 * [backup-simplify]: Simplify 0 into 0
10.466 * [backup-simplify]: Simplify 1 into 1
10.467 * [backup-simplify]: Simplify (sqrt 0) into 0
10.468 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.468 * [taylor]: Taking taylor expansion of (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) in k
10.468 * [taylor]: Taking taylor expansion of (log PI) in k
10.468 * [taylor]: Taking taylor expansion of PI in k
10.468 * [backup-simplify]: Simplify PI into PI
10.469 * [backup-simplify]: Simplify (log PI) into (log PI)
10.469 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in k
10.469 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
10.469 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.469 * [taylor]: Taking taylor expansion of 1/2 in k
10.469 * [backup-simplify]: Simplify 1/2 into 1/2
10.469 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.470 * [taylor]: Taking taylor expansion of (sqrt k) in k
10.470 * [taylor]: Taking taylor expansion of k in k
10.470 * [backup-simplify]: Simplify 0 into 0
10.470 * [backup-simplify]: Simplify 1 into 1
10.471 * [backup-simplify]: Simplify (sqrt 0) into 0
10.476 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.476 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
10.476 * [taylor]: Taking taylor expansion of 1/2 in k
10.476 * [backup-simplify]: Simplify 1/2 into 1/2
10.477 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
10.477 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
10.478 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
10.478 * [backup-simplify]: Simplify (- 0) into 0
10.479 * [backup-simplify]: Simplify (+ (sqrt 1/2) 0) into (sqrt 1/2)
10.480 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
10.481 * [backup-simplify]: Simplify (+ 0 (sqrt 1/2)) into (sqrt 1/2)
10.483 * [backup-simplify]: Simplify (* (log PI) (sqrt 1/2)) into (* (log PI) (sqrt 1/2))
10.485 * [backup-simplify]: Simplify (* (sqrt 1/2) (* (log PI) (sqrt 1/2))) into (* (log PI) (pow (sqrt 1/2) 2))
10.489 * [backup-simplify]: Simplify (exp (* (log PI) (pow (sqrt 1/2) 2))) into (exp (* (log PI) (pow (sqrt 1/2) 2)))
10.489 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
10.489 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
10.489 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
10.489 * [taylor]: Taking taylor expansion of (log 2) in k
10.489 * [taylor]: Taking taylor expansion of 2 in k
10.489 * [backup-simplify]: Simplify 2 into 2
10.489 * [backup-simplify]: Simplify (log 2) into (log 2)
10.489 * [taylor]: Taking taylor expansion of (log n) in k
10.489 * [taylor]: Taking taylor expansion of n in k
10.489 * [backup-simplify]: Simplify n into n
10.489 * [backup-simplify]: Simplify (log n) into (log n)
10.489 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
10.490 * [taylor]: Taking taylor expansion of 1/2 in k
10.490 * [backup-simplify]: Simplify 1/2 into 1/2
10.490 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
10.490 * [taylor]: Taking taylor expansion of 1/2 in k
10.490 * [backup-simplify]: Simplify 1/2 into 1/2
10.490 * [taylor]: Taking taylor expansion of k in k
10.490 * [backup-simplify]: Simplify 0 into 0
10.490 * [backup-simplify]: Simplify 1 into 1
10.490 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
10.491 * [backup-simplify]: Simplify (* 1/2 0) into 0
10.491 * [backup-simplify]: Simplify (- 0) into 0
10.491 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
10.492 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
10.492 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
10.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
10.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k
10.492 * [taylor]: Taking taylor expansion of k in k
10.492 * [backup-simplify]: Simplify 0 into 0
10.493 * [backup-simplify]: Simplify 1 into 1
10.493 * [backup-simplify]: Simplify (/ 1 1) into 1
10.493 * [backup-simplify]: Simplify (sqrt 0) into 0
10.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
10.499 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (exp (* 1/2 (+ (log 2) (log n))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))
10.504 * [backup-simplify]: Simplify (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))) 0) into 0
10.504 * [backup-simplify]: Simplify 0 into 0
10.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
10.507 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
10.508 * [backup-simplify]: Simplify (- 0) into 0
10.508 * [backup-simplify]: Simplify (+ 0 0) into 0
10.509 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.509 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
10.511 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.512 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.513 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt k))) into 0
10.513 * [backup-simplify]: Simplify (+ 0 0) into 0
10.515 * [backup-simplify]: Simplify (+ (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) 0) (* 0 (log PI))) into 0
10.517 * [backup-simplify]: Simplify (* (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0
10.519 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) 1)))) 1) into 0
10.519 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt k))) into 0
10.520 * [backup-simplify]: Simplify (- 0) into 0
10.520 * [backup-simplify]: Simplify (+ 0 0) into 0
10.522 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) 0) (* 0 (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) into 0
10.525 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (+ (* (/ (pow 0 1) 1)))) into 0
10.528 * [backup-simplify]: Simplify (+ (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) 0) (* 0 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))))) into 0
10.530 * [backup-simplify]: Simplify (+ (* (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 0) (* 0 (sqrt (/ 1 k)))) into 0
10.530 * [taylor]: Taking taylor expansion of 0 in k
10.530 * [backup-simplify]: Simplify 0 into 0
10.531 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
10.532 * [backup-simplify]: Simplify (- 1/2) into -1/2
10.532 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
10.534 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
10.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
10.535 * [backup-simplify]: Simplify (+ 0 0) into 0
10.536 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
10.538 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
10.539 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
10.541 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
10.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
10.545 * [backup-simplify]: Simplify (+ (* (log PI) (- (* +nan.0 (sqrt 1/2)))) (* 0 (sqrt 1/2))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
10.546 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
10.547 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
10.549 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
10.555 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (- (* +nan.0 (sqrt 1/2))) (* (log PI) (sqrt 1/2)))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
10.565 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)))) into (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))
10.573 * [backup-simplify]: Simplify (+ (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))) (* (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))))))
10.588 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))) +nan.0) (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))))) 0)) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))))
10.592 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) into (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))))
10.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.594 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
10.595 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.598 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
10.599 * [backup-simplify]: Simplify (- 0) into 0
10.599 * [backup-simplify]: Simplify (+ 0 0) into 0
10.600 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.601 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
10.603 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.606 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.607 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
10.608 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.609 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
10.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.611 * [backup-simplify]: Simplify (+ 0 0) into 0
10.612 * [backup-simplify]: Simplify (+ (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
10.615 * [backup-simplify]: Simplify (* (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.619 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) 1)))) 2) into 0
10.620 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.621 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
10.622 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.623 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
10.623 * [backup-simplify]: Simplify (- 0) into 0
10.624 * [backup-simplify]: Simplify (+ 0 0) into 0
10.626 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) 0) (+ (* 0 0) (* 0 (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))) into 0
10.629 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
10.632 * [backup-simplify]: Simplify (+ (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) 0) (+ (* 0 0) (* 0 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))))) into 0
10.636 * [backup-simplify]: Simplify (+ (* (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
10.636 * [taylor]: Taking taylor expansion of 0 in k
10.636 * [backup-simplify]: Simplify 0 into 0
10.636 * [backup-simplify]: Simplify 0 into 0
10.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.640 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.641 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
10.641 * [backup-simplify]: Simplify (- 0) into 0
10.641 * [backup-simplify]: Simplify (+ 0 0) into 0
10.644 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
10.646 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
10.647 * [backup-simplify]: Simplify (+ 0 0) into 0
10.648 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
10.649 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
10.651 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.652 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.653 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
10.654 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.655 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
10.657 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
10.661 * [backup-simplify]: Simplify (+ (* (log PI) (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 (sqrt 1/2)))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
10.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
10.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
10.665 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
10.667 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
10.668 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
10.680 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (- (* +nan.0 (sqrt 1/2))) (* (log PI) (sqrt 1/2))))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
10.700 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 2) 2)) (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)))) into (* -1 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4)))))))
10.741 * [backup-simplify]: Simplify (+ (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))) (+ (* (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))) (* (* -1 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))))) (exp (* 1/2 (+ (log 2) (log n))))))) into (- (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))))) (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n)))))))))))))
10.808 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))))) +nan.0) (* (- (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))))) (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n))))))))))))) 0))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))))))))))
10.829 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))))))))))) into (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))))))))))
10.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
10.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
10.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
10.837 * [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
10.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
10.839 * [backup-simplify]: Simplify (- 0) into 0
10.839 * [backup-simplify]: Simplify (+ 0 0) into 0
10.840 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
10.845 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0
10.848 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.854 * [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
10.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
10.856 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.858 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
10.859 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.860 * [backup-simplify]: Simplify (+ 0 0) into 0
10.862 * [backup-simplify]: Simplify (+ (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
10.865 * [backup-simplify]: Simplify (* (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.872 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) 1)))) 6) into 0
10.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
10.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.877 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
10.878 * [backup-simplify]: Simplify (- 0) into 0
10.878 * [backup-simplify]: Simplify (+ 0 0) into 0
10.881 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))))) into 0
10.885 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
10.888 * [backup-simplify]: Simplify (+ (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))))))) into 0
10.892 * [backup-simplify]: Simplify (+ (* (* (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (* (log PI) (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
10.892 * [taylor]: Taking taylor expansion of 0 in k
10.892 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify 0 into 0
10.892 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.897 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.898 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
10.898 * [backup-simplify]: Simplify (- 0) into 0
10.899 * [backup-simplify]: Simplify (+ 0 0) into 0
10.904 * [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
10.907 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow n 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow n 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow n 1)))) 6) into 0
10.908 * [backup-simplify]: Simplify (+ 0 0) into 0
10.910 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 0) (+ (* 0 -1/2) (* 0 1/2)))) into 0
10.914 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 3) 6)) (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))
10.918 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.920 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.924 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
10.926 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.928 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
10.934 * [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
10.941 * [backup-simplify]: Simplify (+ (* (log PI) (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 (sqrt 1/2))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
10.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.946 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
10.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
10.951 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
10.953 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
10.955 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
10.985 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (- (* +nan.0 (sqrt 1/2))) (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
11.038 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1) (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))
11.125 * [backup-simplify]: Simplify (+ (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* -1 (* (+ (* 1/48 (pow (log n) 3)) (+ (* 1/16 (* (log 2) (pow (log n) 2))) (+ (* 1/16 (* (pow (log 2) 2) (log n))) (* 1/48 (pow (log 2) 3))))) (exp (* 1/2 (+ (log 2) (log n))))))) (+ (* (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))) (+ (* (* -1 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))))) (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))) (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* 1/2 (+ (log 2) (log n)))))))) into (- (+ (* 1/16 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2))))) (- (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 3)))) (+ (* 1/48 (* (pow (log 2) 3) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* 1/16 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))))) (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow (log n) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 3) (pow (sqrt 1/2) 6))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (log n)))))))))))))))))))))))))))
11.284 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (- (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))))) +nan.0) (+ (* (- (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))))) (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n))))))))))))) +nan.0) (* (- (+ (* 1/16 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2))))) (- (+ (* 1/48 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 3)))) (+ (* 1/48 (* (pow (log 2) 3) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (* 1/16 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))))) (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow (log n) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 3) (pow (sqrt 1/2) 6))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (log n))))))))))))))))))))))))))) 0)))) into (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n)))))))))))))))))))))))))
11.339 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n))))))))))))))))))))))))) into (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))))))))))))))))))))))
11.418 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow (log n) 2)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (log n)))))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n))))))))))))))))))))))) (pow (* k 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (log n)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))))))))))) (* k 1)) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))))) into (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) k))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k)))) (- (+ (* +nan.0 (* (pow (sqrt 1/2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2))))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) (pow k 2))))))))))))))))))))))))))))))))))
11.420 * [backup-simplify]: Simplify (* (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ (/ 1 k) 2)))) (- (sqrt 1/2) (sqrt (/ (/ 1 k) 2)))) (sqrt (/ 1 k)))) into (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k))
11.420 * [approximate]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (n k) around 0
11.420 * [taylor]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k
11.420 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k
11.420 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) in k
11.420 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))) in k
11.420 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) in k
11.420 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) in k
11.420 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.420 * [taylor]: Taking taylor expansion of 1/2 in k
11.420 * [backup-simplify]: Simplify 1/2 into 1/2
11.420 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.421 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
11.421 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.421 * [taylor]: Taking taylor expansion of 1/2 in k
11.421 * [backup-simplify]: Simplify 1/2 into 1/2
11.421 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.422 * [taylor]: Taking taylor expansion of k in k
11.422 * [backup-simplify]: Simplify 0 into 0
11.422 * [backup-simplify]: Simplify 1 into 1
11.422 * [backup-simplify]: Simplify (/ 1 1) into 1
11.423 * [backup-simplify]: Simplify (sqrt 0) into 0
11.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.424 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) in k
11.424 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) in k
11.424 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) in k
11.424 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) in k
11.424 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in k
11.424 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
11.424 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.424 * [taylor]: Taking taylor expansion of 1/2 in k
11.424 * [backup-simplify]: Simplify 1/2 into 1/2
11.425 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.425 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.425 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.425 * [taylor]: Taking taylor expansion of k in k
11.425 * [backup-simplify]: Simplify 0 into 0
11.425 * [backup-simplify]: Simplify 1 into 1
11.426 * [backup-simplify]: Simplify (/ 1 1) into 1
11.426 * [backup-simplify]: Simplify (sqrt 0) into 0
11.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.427 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.427 * [taylor]: Taking taylor expansion of 1/2 in k
11.427 * [backup-simplify]: Simplify 1/2 into 1/2
11.428 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.428 * [taylor]: Taking taylor expansion of (log PI) in k
11.428 * [taylor]: Taking taylor expansion of PI in k
11.428 * [backup-simplify]: Simplify PI into PI
11.429 * [backup-simplify]: Simplify (log PI) into (log PI)
11.429 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
11.430 * [backup-simplify]: Simplify (+ 0 0) into 0
11.430 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
11.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.434 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
11.436 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) (sqrt 1/2)) into (- (* +nan.0 (sqrt 1/2)))
11.440 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.444 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))
11.449 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.450 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
11.450 * [backup-simplify]: Simplify (- 0) into 0
11.451 * [backup-simplify]: Simplify (+ 0 0) into 0
11.452 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into 0
11.454 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.458 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.459 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.462 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
11.464 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
11.470 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.485 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))
11.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 1) into (* +nan.0 (* (log PI) (sqrt 1/2)))
11.519 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
11.521 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.523 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.531 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
11.537 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) into (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))
11.537 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
11.537 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
11.537 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
11.537 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.537 * [taylor]: Taking taylor expansion of 1/2 in k
11.537 * [backup-simplify]: Simplify 1/2 into 1/2
11.537 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.537 * [taylor]: Taking taylor expansion of 1/2 in k
11.537 * [backup-simplify]: Simplify 1/2 into 1/2
11.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.537 * [taylor]: Taking taylor expansion of k in k
11.537 * [backup-simplify]: Simplify 0 into 0
11.537 * [backup-simplify]: Simplify 1 into 1
11.538 * [backup-simplify]: Simplify (/ 1 1) into 1
11.538 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
11.538 * [taylor]: Taking taylor expansion of (/ 2 n) in k
11.538 * [taylor]: Taking taylor expansion of 2 in k
11.538 * [backup-simplify]: Simplify 2 into 2
11.538 * [taylor]: Taking taylor expansion of n in k
11.538 * [backup-simplify]: Simplify n into n
11.538 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
11.538 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
11.538 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.539 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.539 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.539 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
11.539 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
11.539 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.540 * [taylor]: Taking taylor expansion of k in k
11.540 * [backup-simplify]: Simplify 0 into 0
11.540 * [backup-simplify]: Simplify 1 into 1
11.540 * [backup-simplify]: Simplify (sqrt 0) into 0
11.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.541 * [taylor]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
11.541 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
11.541 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) in n
11.541 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))) in n
11.541 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) in n
11.541 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) in n
11.541 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.541 * [taylor]: Taking taylor expansion of 1/2 in n
11.542 * [backup-simplify]: Simplify 1/2 into 1/2
11.542 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.543 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in n
11.543 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.543 * [taylor]: Taking taylor expansion of 1/2 in n
11.543 * [backup-simplify]: Simplify 1/2 into 1/2
11.543 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.544 * [taylor]: Taking taylor expansion of k in n
11.544 * [backup-simplify]: Simplify k into k
11.544 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.544 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.544 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) in n
11.544 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) in n
11.544 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) in n
11.544 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) in n
11.544 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in n
11.545 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in n
11.545 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.545 * [taylor]: Taking taylor expansion of 1/2 in n
11.545 * [backup-simplify]: Simplify 1/2 into 1/2
11.545 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.546 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.546 * [taylor]: Taking taylor expansion of k in n
11.546 * [backup-simplify]: Simplify k into k
11.546 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.546 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.546 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.546 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.546 * [taylor]: Taking taylor expansion of 1/2 in n
11.546 * [backup-simplify]: Simplify 1/2 into 1/2
11.546 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.547 * [taylor]: Taking taylor expansion of (log PI) in n
11.547 * [taylor]: Taking taylor expansion of PI in n
11.547 * [backup-simplify]: Simplify PI into PI
11.547 * [backup-simplify]: Simplify (log PI) into (log PI)
11.548 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt (/ 1 k))) into (* (sqrt 1/2) (sqrt (/ 1 k)))
11.549 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) into (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))
11.550 * [backup-simplify]: Simplify (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) into (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))
11.551 * [backup-simplify]: Simplify (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) into (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))
11.552 * [backup-simplify]: Simplify (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) into (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))
11.552 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt (/ 1 k))) into (* (sqrt 1/2) (sqrt (/ 1 k)))
11.553 * [backup-simplify]: Simplify (- (* (sqrt 1/2) (sqrt (/ 1 k)))) into (- (* (sqrt 1/2) (sqrt (/ 1 k))))
11.553 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* (sqrt 1/2) (sqrt (/ 1 k))))) into (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))
11.555 * [backup-simplify]: Simplify (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) into (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))
11.557 * [backup-simplify]: Simplify (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) into (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))))
11.557 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.557 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.557 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.557 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.557 * [taylor]: Taking taylor expansion of 1/2 in n
11.558 * [backup-simplify]: Simplify 1/2 into 1/2
11.558 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.558 * [taylor]: Taking taylor expansion of 1/2 in n
11.558 * [backup-simplify]: Simplify 1/2 into 1/2
11.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.558 * [taylor]: Taking taylor expansion of k in n
11.558 * [backup-simplify]: Simplify k into k
11.558 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.558 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.558 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.558 * [taylor]: Taking taylor expansion of 2 in n
11.558 * [backup-simplify]: Simplify 2 into 2
11.558 * [taylor]: Taking taylor expansion of n in n
11.558 * [backup-simplify]: Simplify 0 into 0
11.558 * [backup-simplify]: Simplify 1 into 1
11.558 * [backup-simplify]: Simplify (/ 2 1) into 2
11.559 * [backup-simplify]: Simplify (log 2) into (log 2)
11.559 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.559 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.559 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.560 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.560 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.561 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.561 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.561 * [taylor]: Taking taylor expansion of k in n
11.561 * [backup-simplify]: Simplify k into k
11.561 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.561 * [taylor]: Taking taylor expansion of (* (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n
11.561 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n
11.561 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) in n
11.561 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))) in n
11.561 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) in n
11.561 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) in n
11.561 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.561 * [taylor]: Taking taylor expansion of 1/2 in n
11.561 * [backup-simplify]: Simplify 1/2 into 1/2
11.561 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.562 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in n
11.562 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.562 * [taylor]: Taking taylor expansion of 1/2 in n
11.562 * [backup-simplify]: Simplify 1/2 into 1/2
11.563 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.563 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.563 * [taylor]: Taking taylor expansion of k in n
11.563 * [backup-simplify]: Simplify k into k
11.563 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.563 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.564 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.564 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) in n
11.564 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) in n
11.564 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) in n
11.564 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) in n
11.564 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in n
11.564 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in n
11.564 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.564 * [taylor]: Taking taylor expansion of 1/2 in n
11.564 * [backup-simplify]: Simplify 1/2 into 1/2
11.564 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.565 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n
11.565 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.565 * [taylor]: Taking taylor expansion of k in n
11.565 * [backup-simplify]: Simplify k into k
11.565 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.565 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
11.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
11.565 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
11.565 * [taylor]: Taking taylor expansion of 1/2 in n
11.565 * [backup-simplify]: Simplify 1/2 into 1/2
11.566 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.566 * [taylor]: Taking taylor expansion of (log PI) in n
11.566 * [taylor]: Taking taylor expansion of PI in n
11.566 * [backup-simplify]: Simplify PI into PI
11.567 * [backup-simplify]: Simplify (log PI) into (log PI)
11.567 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt (/ 1 k))) into (* (sqrt 1/2) (sqrt (/ 1 k)))
11.568 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) into (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))
11.569 * [backup-simplify]: Simplify (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) into (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))
11.570 * [backup-simplify]: Simplify (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) into (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))
11.571 * [backup-simplify]: Simplify (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) into (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))
11.571 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt (/ 1 k))) into (* (sqrt 1/2) (sqrt (/ 1 k)))
11.572 * [backup-simplify]: Simplify (- (* (sqrt 1/2) (sqrt (/ 1 k)))) into (- (* (sqrt 1/2) (sqrt (/ 1 k))))
11.573 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* (sqrt 1/2) (sqrt (/ 1 k))))) into (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))
11.574 * [backup-simplify]: Simplify (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) into (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))
11.576 * [backup-simplify]: Simplify (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) into (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))))
11.576 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
11.576 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
11.576 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
11.576 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
11.576 * [taylor]: Taking taylor expansion of 1/2 in n
11.576 * [backup-simplify]: Simplify 1/2 into 1/2
11.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
11.576 * [taylor]: Taking taylor expansion of 1/2 in n
11.576 * [backup-simplify]: Simplify 1/2 into 1/2
11.576 * [taylor]: Taking taylor expansion of (/ 1 k) in n
11.576 * [taylor]: Taking taylor expansion of k in n
11.576 * [backup-simplify]: Simplify k into k
11.576 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
11.576 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
11.576 * [taylor]: Taking taylor expansion of (/ 2 n) in n
11.576 * [taylor]: Taking taylor expansion of 2 in n
11.576 * [backup-simplify]: Simplify 2 into 2
11.576 * [taylor]: Taking taylor expansion of n in n
11.576 * [backup-simplify]: Simplify 0 into 0
11.576 * [backup-simplify]: Simplify 1 into 1
11.577 * [backup-simplify]: Simplify (/ 2 1) into 2
11.577 * [backup-simplify]: Simplify (log 2) into (log 2)
11.577 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
11.577 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
11.577 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
11.578 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.578 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
11.579 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.579 * [taylor]: Taking taylor expansion of (sqrt k) in n
11.579 * [taylor]: Taking taylor expansion of k in n
11.579 * [backup-simplify]: Simplify k into k
11.579 * [backup-simplify]: Simplify (sqrt k) into (sqrt k)
11.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0
11.581 * [backup-simplify]: Simplify (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
11.583 * [backup-simplify]: Simplify (* (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (sqrt k)) into (* (sqrt k) (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))
11.583 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) in k
11.584 * [taylor]: Taking taylor expansion of (sqrt k) in k
11.584 * [taylor]: Taking taylor expansion of k in k
11.584 * [backup-simplify]: Simplify 0 into 0
11.584 * [backup-simplify]: Simplify 1 into 1
11.584 * [backup-simplify]: Simplify (sqrt 0) into 0
11.585 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.585 * [taylor]: Taking taylor expansion of (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) in k
11.585 * [taylor]: Taking taylor expansion of (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) in k
11.585 * [taylor]: Taking taylor expansion of (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) in k
11.585 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) in k
11.585 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) in k
11.585 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) in k
11.585 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) in k
11.585 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in k
11.585 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
11.585 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.585 * [taylor]: Taking taylor expansion of 1/2 in k
11.585 * [backup-simplify]: Simplify 1/2 into 1/2
11.586 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.587 * [taylor]: Taking taylor expansion of k in k
11.587 * [backup-simplify]: Simplify 0 into 0
11.587 * [backup-simplify]: Simplify 1 into 1
11.587 * [backup-simplify]: Simplify (/ 1 1) into 1
11.587 * [backup-simplify]: Simplify (sqrt 0) into 0
11.588 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.588 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.588 * [taylor]: Taking taylor expansion of 1/2 in k
11.588 * [backup-simplify]: Simplify 1/2 into 1/2
11.589 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.589 * [taylor]: Taking taylor expansion of (log PI) in k
11.589 * [taylor]: Taking taylor expansion of PI in k
11.590 * [backup-simplify]: Simplify PI into PI
11.590 * [backup-simplify]: Simplify (log PI) into (log PI)
11.590 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
11.591 * [backup-simplify]: Simplify (+ 0 0) into 0
11.591 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
11.593 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.595 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
11.597 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) (sqrt 1/2)) into (- (* +nan.0 (sqrt 1/2)))
11.601 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.606 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))
11.611 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.611 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) in k
11.611 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.611 * [taylor]: Taking taylor expansion of 1/2 in k
11.611 * [backup-simplify]: Simplify 1/2 into 1/2
11.611 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.612 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
11.612 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
11.612 * [taylor]: Taking taylor expansion of 1/2 in k
11.612 * [backup-simplify]: Simplify 1/2 into 1/2
11.613 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
11.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
11.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
11.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.613 * [taylor]: Taking taylor expansion of k in k
11.613 * [backup-simplify]: Simplify 0 into 0
11.613 * [backup-simplify]: Simplify 1 into 1
11.614 * [backup-simplify]: Simplify (/ 1 1) into 1
11.614 * [backup-simplify]: Simplify (sqrt 0) into 0
11.615 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
11.616 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
11.616 * [backup-simplify]: Simplify (- 0) into 0
11.616 * [backup-simplify]: Simplify (+ 0 0) into 0
11.618 * [backup-simplify]: Simplify (* (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 0) into 0
11.619 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
11.621 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.627 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.630 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.633 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.636 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
11.638 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
11.645 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.659 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))
11.678 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 1) into (* +nan.0 (* (log PI) (sqrt 1/2)))
11.683 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (sqrt 1/2)))) (* (* +nan.0 (* (log PI) (sqrt 1/2))) 0)) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
11.687 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) into (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))
11.687 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
11.687 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
11.687 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
11.687 * [taylor]: Taking taylor expansion of 1/2 in k
11.687 * [backup-simplify]: Simplify 1/2 into 1/2
11.687 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
11.687 * [taylor]: Taking taylor expansion of 1/2 in k
11.687 * [backup-simplify]: Simplify 1/2 into 1/2
11.687 * [taylor]: Taking taylor expansion of (/ 1 k) in k
11.687 * [taylor]: Taking taylor expansion of k in k
11.687 * [backup-simplify]: Simplify 0 into 0
11.687 * [backup-simplify]: Simplify 1 into 1
11.688 * [backup-simplify]: Simplify (/ 1 1) into 1
11.688 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
11.688 * [taylor]: Taking taylor expansion of (log 2) in k
11.688 * [taylor]: Taking taylor expansion of 2 in k
11.688 * [backup-simplify]: Simplify 2 into 2
11.688 * [backup-simplify]: Simplify (log 2) into (log 2)
11.688 * [taylor]: Taking taylor expansion of (log n) in k
11.688 * [taylor]: Taking taylor expansion of n in k
11.688 * [backup-simplify]: Simplify n into n
11.688 * [backup-simplify]: Simplify (log n) into (log n)
11.689 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
11.689 * [backup-simplify]: Simplify (- 1/2) into -1/2
11.690 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
11.690 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
11.690 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
11.691 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
11.691 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
11.698 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))
11.705 * [backup-simplify]: Simplify (* 0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
11.705 * [backup-simplify]: Simplify 0 into 0
11.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
11.707 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
11.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
11.708 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
11.708 * [backup-simplify]: Simplify (- 0) into 0
11.709 * [backup-simplify]: Simplify (+ 0 0) into 0
11.709 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.710 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
11.711 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
11.713 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
11.713 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt (/ 1 k)))) into 0
11.714 * [backup-simplify]: Simplify (+ 0 0) into 0
11.715 * [backup-simplify]: Simplify (+ (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) 0) (* 0 (log PI))) into 0
11.717 * [backup-simplify]: Simplify (* (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0
11.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) 1)))) 1) into 0
11.719 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt (/ 1 k)))) into 0
11.720 * [backup-simplify]: Simplify (- 0) into 0
11.720 * [backup-simplify]: Simplify (+ 0 0) into 0
11.722 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) 0) (* 0 (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))) into 0
11.724 * [backup-simplify]: Simplify (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (+ (* (/ (pow 0 1) 1)))) into 0
11.727 * [backup-simplify]: Simplify (+ (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0
11.729 * [backup-simplify]: Simplify (+ (* (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (* 0 (sqrt k))) into 0
11.729 * [taylor]: Taking taylor expansion of 0 in k
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.733 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
11.734 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.737 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
11.739 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.745 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
11.750 * [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
11.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
11.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
11.761 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
11.762 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.764 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
11.775 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
11.801 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
11.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 2)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))
11.918 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (* (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) 0))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
11.939 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)))) into (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))
11.954 * [backup-simplify]: Simplify (+ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) 0) (* (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))
11.965 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))) (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.969 * [backup-simplify]: Simplify (- (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))
11.969 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
11.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.971 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
11.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
11.972 * [backup-simplify]: Simplify (- 0) into 0
11.972 * [backup-simplify]: Simplify (+ 0 0) into 0
11.973 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
11.974 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
11.975 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.976 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
11.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.977 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
11.978 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.978 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
11.979 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.979 * [backup-simplify]: Simplify (+ 0 0) into 0
11.980 * [backup-simplify]: Simplify (+ (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
11.982 * [backup-simplify]: Simplify (* (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.984 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) 1)))) 2) into 0
11.984 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
11.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
11.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
11.986 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k))))) into 0
11.986 * [backup-simplify]: Simplify (- 0) into 0
11.987 * [backup-simplify]: Simplify (+ 0 0) into 0
11.989 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (* 0 (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))))) into 0
11.993 * [backup-simplify]: Simplify (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
11.995 * [backup-simplify]: Simplify (+ (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0
11.998 * [backup-simplify]: Simplify (+ (* (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (* 0 (sqrt k)))) into 0
11.998 * [taylor]: Taking taylor expansion of 0 in k
11.998 * [backup-simplify]: Simplify 0 into 0
11.998 * [backup-simplify]: Simplify 0 into 0
11.998 * [backup-simplify]: Simplify 0 into 0
11.999 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
12.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.004 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.005 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.008 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
12.011 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.013 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.028 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
12.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.036 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.039 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (* +nan.0 (sqrt 1/2)))
12.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.043 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
12.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
12.097 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))
12.305 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 3)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))
12.366 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) (- (* +nan.0 (sqrt 1/2)))) (* (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))) 0)))) into (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))
12.419 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))
12.464 * [backup-simplify]: Simplify (+ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) 0) (+ (* (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) 0) (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))))))))
12.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.500 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))))))))) (+ (* +nan.0 (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))) (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))))
12.514 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))))) into (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))))
12.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
12.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.521 * [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
12.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.523 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
12.523 * [backup-simplify]: Simplify (- 0) into 0
12.523 * [backup-simplify]: Simplify (+ 0 0) into 0
12.524 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
12.526 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
12.528 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.534 * [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
12.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.535 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
12.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.538 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
12.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.539 * [backup-simplify]: Simplify (+ 0 0) into 0
12.541 * [backup-simplify]: Simplify (+ (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))) into 0
12.543 * [backup-simplify]: Simplify (* (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.546 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) 1)))) 6) into 0
12.547 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
12.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
12.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.549 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 k)))))) into 0
12.549 * [backup-simplify]: Simplify (- 0) into 0
12.550 * [backup-simplify]: Simplify (+ 0 0) into 0
12.551 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))))) into 0
12.553 * [backup-simplify]: Simplify (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.555 * [backup-simplify]: Simplify (+ (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0
12.557 * [backup-simplify]: Simplify (+ (* (* (exp (* (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt k))))) into 0
12.557 * [taylor]: Taking taylor expansion of 0 in k
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [backup-simplify]: Simplify 0 into 0
12.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.561 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.562 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.564 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (* +nan.0 (sqrt 1/2)))
12.565 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.567 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
12.587 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
12.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
12.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.599 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))))) into (- (* +nan.0 (sqrt 1/2)))
12.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
12.603 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
12.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
12.692 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 4) 24)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))))
13.065 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 4)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 4))) (* 12 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 2) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 2)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* -4 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1) 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 24) into (* -1/24 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))))
13.158 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) (- (* +nan.0 (sqrt 1/2)))) (+ (* (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))) (- (* +nan.0 (sqrt 1/2)))) (* (* -1/24 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))) 0))))) into (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))))
13.260 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 5))))))))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))
13.359 * [backup-simplify]: Simplify (+ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) 0) (+ (* (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) 0) (+ (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) 0) (* (* -1 (* (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 5))))))))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (+ (* +nan.0 (* (pow (log PI) 3) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 3) (* (pow (sqrt 1/2) 6) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 3) (* (pow (sqrt 1/2) 5) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))))))))))))
13.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.479 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* +nan.0 (* (pow (log PI) 3) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 3) (* (pow (sqrt 1/2) 6) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (pow (log PI) 3) (* (pow (sqrt 1/2) 5) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))))))))))))) (+ (* +nan.0 (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (- (* +nan.0 (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))))))))) (+ (* +nan.0 (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))) (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))))))))
13.524 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) (- (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))))))))))
13.586 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))) (- (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))))))))) (pow (* (/ 1 k) 1) 3)) (+ (* (- (+ (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))) (- (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))))) (pow (* (/ 1 k) 1) 2)) (* (- (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 3))))))))))))))))
13.588 * [backup-simplify]: Simplify (* (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ (/ 1 (- k)) 2)))) (- (sqrt 1/2) (sqrt (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k))))) into (/ (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))
13.588 * [approximate]: Taking taylor expansion of (/ (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (n k) around 0
13.588 * [taylor]: Taking taylor expansion of (/ (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k
13.588 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k
13.588 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) in k
13.588 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))) in k
13.588 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) in k
13.588 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (sqrt (/ -1/2 k))) in k
13.588 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
13.588 * [taylor]: Taking taylor expansion of 1/2 in k
13.589 * [backup-simplify]: Simplify 1/2 into 1/2
13.589 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.590 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
13.590 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
13.590 * [taylor]: Taking taylor expansion of -1/2 in k
13.590 * [backup-simplify]: Simplify -1/2 into -1/2
13.590 * [taylor]: Taking taylor expansion of k in k
13.590 * [backup-simplify]: Simplify 0 into 0
13.590 * [backup-simplify]: Simplify 1 into 1
13.590 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.591 * [backup-simplify]: Simplify (sqrt 0) into 0
13.592 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
13.592 * [taylor]: Taking taylor expansion of (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) in k
13.592 * [taylor]: Taking taylor expansion of (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) in k
13.592 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI))) in k
13.593 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) in k
13.593 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in k
13.593 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
13.593 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
13.593 * [taylor]: Taking taylor expansion of -1/2 in k
13.593 * [backup-simplify]: Simplify -1/2 into -1/2
13.593 * [taylor]: Taking taylor expansion of k in k
13.593 * [backup-simplify]: Simplify 0 into 0
13.593 * [backup-simplify]: Simplify 1 into 1
13.593 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.594 * [backup-simplify]: Simplify (sqrt 0) into 0
13.595 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
13.595 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
13.595 * [taylor]: Taking taylor expansion of 1/2 in k
13.595 * [backup-simplify]: Simplify 1/2 into 1/2
13.596 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.596 * [taylor]: Taking taylor expansion of (log PI) in k
13.597 * [taylor]: Taking taylor expansion of PI in k
13.597 * [backup-simplify]: Simplify PI into PI
13.597 * [backup-simplify]: Simplify (log PI) into (log PI)
13.598 * [backup-simplify]: Simplify (+ 0 0) into 0
13.598 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
13.600 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
13.601 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1/2)) into (- (sqrt 1/2) +nan.0)
13.605 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1/2) +nan.0) (log PI))) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
13.610 * [backup-simplify]: Simplify (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) into (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))
13.616 * [backup-simplify]: Simplify (log (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
13.617 * [backup-simplify]: Simplify (- 0) into 0
13.617 * [backup-simplify]: Simplify (+ 0 0) into 0
13.619 * [backup-simplify]: Simplify (* 0 (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) into 0
13.622 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
13.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
13.626 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.627 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2) +nan.0) 0) (* (- +nan.0) (log PI)))) into (- (* +nan.0 (log PI)))
13.647 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (+ (* (/ (pow (- (* +nan.0 (log PI))) 1) 1)))) into (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))
13.687 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 1)))) 1) into (* +nan.0 (log PI))
13.688 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.689 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- +nan.0)) into (- (sqrt 1/2) +nan.0)
13.697 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log PI))) (* (- (sqrt 1/2) +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))) into (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))
13.710 * [backup-simplify]: Simplify (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) into (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
13.710 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
13.710 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
13.710 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
13.710 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.710 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.710 * [taylor]: Taking taylor expansion of 1/2 in k
13.710 * [backup-simplify]: Simplify 1/2 into 1/2
13.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.710 * [taylor]: Taking taylor expansion of k in k
13.710 * [backup-simplify]: Simplify 0 into 0
13.710 * [backup-simplify]: Simplify 1 into 1
13.710 * [backup-simplify]: Simplify (/ 1 1) into 1
13.711 * [taylor]: Taking taylor expansion of 1/2 in k
13.711 * [backup-simplify]: Simplify 1/2 into 1/2
13.711 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
13.711 * [taylor]: Taking taylor expansion of (/ -2 n) in k
13.711 * [taylor]: Taking taylor expansion of -2 in k
13.711 * [backup-simplify]: Simplify -2 into -2
13.711 * [taylor]: Taking taylor expansion of n in k
13.711 * [backup-simplify]: Simplify n into n
13.711 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
13.711 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
13.711 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.712 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.712 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
13.712 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
13.712 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.712 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.712 * [taylor]: Taking taylor expansion of -1 in k
13.712 * [backup-simplify]: Simplify -1 into -1
13.712 * [taylor]: Taking taylor expansion of k in k
13.712 * [backup-simplify]: Simplify 0 into 0
13.712 * [backup-simplify]: Simplify 1 into 1
13.712 * [backup-simplify]: Simplify (/ -1 1) into -1
13.713 * [backup-simplify]: Simplify (sqrt 0) into 0
13.714 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.725 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))
13.732 * [backup-simplify]: Simplify (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))
13.733 * [taylor]: Taking taylor expansion of (/ (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
13.733 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.733 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) in n
13.733 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))) in n
13.733 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) in n
13.733 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (sqrt (/ -1/2 k))) in n
13.733 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.733 * [taylor]: Taking taylor expansion of 1/2 in n
13.733 * [backup-simplify]: Simplify 1/2 into 1/2
13.733 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.733 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in n
13.733 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n
13.733 * [taylor]: Taking taylor expansion of -1/2 in n
13.733 * [backup-simplify]: Simplify -1/2 into -1/2
13.733 * [taylor]: Taking taylor expansion of k in n
13.733 * [backup-simplify]: Simplify k into k
13.733 * [backup-simplify]: Simplify (/ -1/2 k) into (/ -1/2 k)
13.734 * [backup-simplify]: Simplify (sqrt (/ -1/2 k)) into (sqrt (/ -1/2 k))
13.734 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
13.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1/2 k)))) into 0
13.734 * [taylor]: Taking taylor expansion of (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) in n
13.734 * [taylor]: Taking taylor expansion of (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) in n
13.734 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI))) in n
13.734 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) in n
13.734 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in n
13.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in n
13.734 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n
13.734 * [taylor]: Taking taylor expansion of -1/2 in n
13.734 * [backup-simplify]: Simplify -1/2 into -1/2
13.734 * [taylor]: Taking taylor expansion of k in n
13.734 * [backup-simplify]: Simplify k into k
13.734 * [backup-simplify]: Simplify (/ -1/2 k) into (/ -1/2 k)
13.734 * [backup-simplify]: Simplify (sqrt (/ -1/2 k)) into (sqrt (/ -1/2 k))
13.734 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
13.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1/2 k)))) into 0
13.734 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.734 * [taylor]: Taking taylor expansion of 1/2 in n
13.734 * [backup-simplify]: Simplify 1/2 into 1/2
13.734 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.735 * [taylor]: Taking taylor expansion of (log PI) in n
13.735 * [taylor]: Taking taylor expansion of PI in n
13.735 * [backup-simplify]: Simplify PI into PI
13.735 * [backup-simplify]: Simplify (log PI) into (log PI)
13.735 * [backup-simplify]: Simplify (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) into (+ (sqrt (/ -1/2 k)) (sqrt 1/2))
13.736 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) into (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))
13.737 * [backup-simplify]: Simplify (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) into (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))
13.737 * [backup-simplify]: Simplify (log (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) into (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))
13.737 * [backup-simplify]: Simplify (- (sqrt (/ -1/2 k))) into (- (sqrt (/ -1/2 k)))
13.737 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (sqrt (/ -1/2 k)))) into (- (sqrt 1/2) (sqrt (/ -1/2 k)))
13.738 * [backup-simplify]: Simplify (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) into (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))
13.739 * [backup-simplify]: Simplify (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) into (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))
13.739 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.739 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
13.739 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
13.739 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.739 * [taylor]: Taking taylor expansion of 1/2 in n
13.739 * [backup-simplify]: Simplify 1/2 into 1/2
13.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.739 * [taylor]: Taking taylor expansion of k in n
13.739 * [backup-simplify]: Simplify k into k
13.740 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.740 * [taylor]: Taking taylor expansion of 1/2 in n
13.740 * [backup-simplify]: Simplify 1/2 into 1/2
13.740 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
13.740 * [taylor]: Taking taylor expansion of (/ -2 n) in n
13.740 * [taylor]: Taking taylor expansion of -2 in n
13.740 * [backup-simplify]: Simplify -2 into -2
13.740 * [taylor]: Taking taylor expansion of n in n
13.740 * [backup-simplify]: Simplify 0 into 0
13.740 * [backup-simplify]: Simplify 1 into 1
13.740 * [backup-simplify]: Simplify (/ -2 1) into -2
13.740 * [backup-simplify]: Simplify (log -2) into (log -2)
13.740 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.740 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.741 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
13.741 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
13.741 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
13.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.741 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.741 * [taylor]: Taking taylor expansion of -1 in n
13.741 * [backup-simplify]: Simplify -1 into -1
13.742 * [taylor]: Taking taylor expansion of k in n
13.742 * [backup-simplify]: Simplify k into k
13.742 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.742 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.742 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.743 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
13.744 * [backup-simplify]: Simplify (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k)))
13.744 * [taylor]: Taking taylor expansion of (/ (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n
13.744 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n
13.744 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) in n
13.744 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))) in n
13.744 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) in n
13.744 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (sqrt (/ -1/2 k))) in n
13.744 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.744 * [taylor]: Taking taylor expansion of 1/2 in n
13.744 * [backup-simplify]: Simplify 1/2 into 1/2
13.744 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in n
13.745 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n
13.745 * [taylor]: Taking taylor expansion of -1/2 in n
13.745 * [backup-simplify]: Simplify -1/2 into -1/2
13.745 * [taylor]: Taking taylor expansion of k in n
13.745 * [backup-simplify]: Simplify k into k
13.745 * [backup-simplify]: Simplify (/ -1/2 k) into (/ -1/2 k)
13.745 * [backup-simplify]: Simplify (sqrt (/ -1/2 k)) into (sqrt (/ -1/2 k))
13.745 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
13.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1/2 k)))) into 0
13.745 * [taylor]: Taking taylor expansion of (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) in n
13.745 * [taylor]: Taking taylor expansion of (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) in n
13.745 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI))) in n
13.745 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) in n
13.745 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in n
13.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in n
13.745 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n
13.745 * [taylor]: Taking taylor expansion of -1/2 in n
13.745 * [backup-simplify]: Simplify -1/2 into -1/2
13.745 * [taylor]: Taking taylor expansion of k in n
13.745 * [backup-simplify]: Simplify k into k
13.745 * [backup-simplify]: Simplify (/ -1/2 k) into (/ -1/2 k)
13.745 * [backup-simplify]: Simplify (sqrt (/ -1/2 k)) into (sqrt (/ -1/2 k))
13.745 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
13.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1/2 k)))) into 0
13.746 * [taylor]: Taking taylor expansion of (sqrt 1/2) in n
13.746 * [taylor]: Taking taylor expansion of 1/2 in n
13.746 * [backup-simplify]: Simplify 1/2 into 1/2
13.746 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.746 * [taylor]: Taking taylor expansion of (log PI) in n
13.746 * [taylor]: Taking taylor expansion of PI in n
13.746 * [backup-simplify]: Simplify PI into PI
13.747 * [backup-simplify]: Simplify (log PI) into (log PI)
13.747 * [backup-simplify]: Simplify (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) into (+ (sqrt (/ -1/2 k)) (sqrt 1/2))
13.747 * [backup-simplify]: Simplify (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) into (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))
13.748 * [backup-simplify]: Simplify (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) into (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))
13.749 * [backup-simplify]: Simplify (log (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) into (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))
13.749 * [backup-simplify]: Simplify (- (sqrt (/ -1/2 k))) into (- (sqrt (/ -1/2 k)))
13.749 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (sqrt (/ -1/2 k)))) into (- (sqrt 1/2) (sqrt (/ -1/2 k)))
13.750 * [backup-simplify]: Simplify (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) into (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))
13.750 * [backup-simplify]: Simplify (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) into (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))
13.750 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
13.750 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
13.751 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
13.751 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
13.751 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
13.751 * [taylor]: Taking taylor expansion of 1/2 in n
13.751 * [backup-simplify]: Simplify 1/2 into 1/2
13.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n
13.751 * [taylor]: Taking taylor expansion of k in n
13.751 * [backup-simplify]: Simplify k into k
13.751 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
13.751 * [taylor]: Taking taylor expansion of 1/2 in n
13.751 * [backup-simplify]: Simplify 1/2 into 1/2
13.751 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
13.751 * [taylor]: Taking taylor expansion of (/ -2 n) in n
13.751 * [taylor]: Taking taylor expansion of -2 in n
13.751 * [backup-simplify]: Simplify -2 into -2
13.751 * [taylor]: Taking taylor expansion of n in n
13.751 * [backup-simplify]: Simplify 0 into 0
13.751 * [backup-simplify]: Simplify 1 into 1
13.751 * [backup-simplify]: Simplify (/ -2 1) into -2
13.751 * [backup-simplify]: Simplify (log -2) into (log -2)
13.751 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
13.751 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
13.752 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
13.752 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
13.753 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
13.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n
13.753 * [taylor]: Taking taylor expansion of (/ -1 k) in n
13.753 * [taylor]: Taking taylor expansion of -1 in n
13.753 * [backup-simplify]: Simplify -1 into -1
13.753 * [taylor]: Taking taylor expansion of k in n
13.753 * [backup-simplify]: Simplify k into k
13.753 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k)
13.753 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
13.753 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
13.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
13.754 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
13.755 * [backup-simplify]: Simplify (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k))) into (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k)))
13.755 * [taylor]: Taking taylor expansion of (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k))) in k
13.755 * [taylor]: Taking taylor expansion of (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) in k
13.755 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) in k
13.755 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) in k
13.755 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (sqrt (/ -1/2 k))) in k
13.755 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
13.755 * [taylor]: Taking taylor expansion of 1/2 in k
13.755 * [backup-simplify]: Simplify 1/2 into 1/2
13.756 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
13.756 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
13.756 * [taylor]: Taking taylor expansion of -1/2 in k
13.756 * [backup-simplify]: Simplify -1/2 into -1/2
13.756 * [taylor]: Taking taylor expansion of k in k
13.756 * [backup-simplify]: Simplify 0 into 0
13.756 * [backup-simplify]: Simplify 1 into 1
13.756 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.757 * [backup-simplify]: Simplify (sqrt 0) into 0
13.757 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
13.757 * [taylor]: Taking taylor expansion of (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) in k
13.758 * [taylor]: Taking taylor expansion of (log PI) in k
13.758 * [taylor]: Taking taylor expansion of PI in k
13.758 * [backup-simplify]: Simplify PI into PI
13.758 * [backup-simplify]: Simplify (log PI) into (log PI)
13.758 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in k
13.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
13.758 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
13.758 * [taylor]: Taking taylor expansion of -1/2 in k
13.758 * [backup-simplify]: Simplify -1/2 into -1/2
13.758 * [taylor]: Taking taylor expansion of k in k
13.758 * [backup-simplify]: Simplify 0 into 0
13.758 * [backup-simplify]: Simplify 1 into 1
13.758 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
13.758 * [backup-simplify]: Simplify (sqrt 0) into 0
13.759 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
13.760 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
13.760 * [taylor]: Taking taylor expansion of 1/2 in k
13.760 * [backup-simplify]: Simplify 1/2 into 1/2
13.760 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
13.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
13.761 * [backup-simplify]: Simplify (- 0) into 0
13.761 * [backup-simplify]: Simplify (+ 0 0) into 0
13.762 * [backup-simplify]: Simplify (+ 0 0) into 0
13.763 * [backup-simplify]: Simplify (* (log PI) 0) into 0
13.763 * [backup-simplify]: Simplify (* 0 0) into 0
13.764 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1/2)) into (- (sqrt 1/2) +nan.0)
13.766 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
13.770 * [backup-simplify]: Simplify (+ (* (log PI) (- (sqrt 1/2) +nan.0)) (* 0 0)) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
13.770 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.772 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- +nan.0)) into (- (sqrt 1/2) +nan.0)
13.773 * [backup-simplify]: Simplify (+ (* 0 (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (* (- (sqrt 1/2) +nan.0) 0)) into 0
13.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
13.778 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.778 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.781 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
13.786 * [backup-simplify]: Simplify (+ (* (log PI) (- +nan.0)) (+ (* 0 (- (sqrt 1/2) +nan.0)) (* 0 0))) into (- (* +nan.0 (log PI)))
13.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
13.790 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.790 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.791 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.804 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (log PI)))) (+ (* (- (sqrt 1/2) +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (* (- +nan.0) 0))) into (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))
13.811 * [backup-simplify]: Simplify (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) into (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
13.811 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
13.811 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
13.811 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
13.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
13.811 * [taylor]: Taking taylor expansion of 1/2 in k
13.811 * [backup-simplify]: Simplify 1/2 into 1/2
13.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k
13.811 * [taylor]: Taking taylor expansion of k in k
13.811 * [backup-simplify]: Simplify 0 into 0
13.811 * [backup-simplify]: Simplify 1 into 1
13.812 * [backup-simplify]: Simplify (/ 1 1) into 1
13.812 * [taylor]: Taking taylor expansion of 1/2 in k
13.812 * [backup-simplify]: Simplify 1/2 into 1/2
13.812 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
13.812 * [taylor]: Taking taylor expansion of (log -2) in k
13.812 * [taylor]: Taking taylor expansion of -2 in k
13.812 * [backup-simplify]: Simplify -2 into -2
13.812 * [backup-simplify]: Simplify (log -2) into (log -2)
13.812 * [taylor]: Taking taylor expansion of (log n) in k
13.812 * [taylor]: Taking taylor expansion of n in k
13.812 * [backup-simplify]: Simplify n into n
13.812 * [backup-simplify]: Simplify (log n) into (log n)
13.812 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
13.813 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
13.813 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
13.813 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
13.813 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
13.814 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
13.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
13.814 * [taylor]: Taking taylor expansion of (/ -1 k) in k
13.814 * [taylor]: Taking taylor expansion of -1 in k
13.814 * [backup-simplify]: Simplify -1 into -1
13.814 * [taylor]: Taking taylor expansion of k in k
13.814 * [backup-simplify]: Simplify 0 into 0
13.814 * [backup-simplify]: Simplify 1 into 1
13.814 * [backup-simplify]: Simplify (/ -1 1) into -1
13.814 * [backup-simplify]: Simplify (sqrt 0) into 0
13.815 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
13.823 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))
13.836 * [backup-simplify]: Simplify (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) +nan.0) into (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))
13.848 * [backup-simplify]: Simplify (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))
13.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
13.851 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
13.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
13.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
13.852 * [backup-simplify]: Simplify (+ 0 0) into 0
13.853 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
13.853 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
13.855 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.856 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
13.856 * [backup-simplify]: Simplify (+ 0 0) into 0
13.856 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) 0) (* 0 (log PI))) into 0
13.857 * [backup-simplify]: Simplify (* (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0
13.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) 1)))) 1) into 0
13.859 * [backup-simplify]: Simplify (- 0) into 0
13.859 * [backup-simplify]: Simplify (+ 0 0) into 0
13.860 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) 0) (* 0 (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) into 0
13.861 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (+ (* (/ (pow 0 1) 1)))) into 0
13.862 * [backup-simplify]: Simplify (+ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into 0
13.863 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))))) into 0
13.863 * [taylor]: Taking taylor expansion of 0 in k
13.863 * [backup-simplify]: Simplify 0 into 0
13.863 * [backup-simplify]: Simplify 0 into 0
13.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.866 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.867 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
13.870 * [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
13.873 * [backup-simplify]: Simplify (+ (* (log PI) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1/2) +nan.0)) (* 0 0)))) into (- (* +nan.0 (log PI)))
13.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
13.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
13.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
13.877 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
13.878 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
13.890 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (log PI)))) (+ (* (- (sqrt 1/2) +nan.0) (- (* +nan.0 (log PI)))) (+ (* (- +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (* (- +nan.0) 0)))) into (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))
13.923 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) 1) 1)))) into (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
13.940 * [backup-simplify]: Simplify (+ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) 0) (* (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))))))
13.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
13.942 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
13.981 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2)))))))) +nan.0) (+ (* (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))))))))
14.024 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2)))))))))) into (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))))))))
14.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.029 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
14.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.030 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
14.030 * [backup-simplify]: Simplify (+ 0 0) into 0
14.031 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
14.032 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
14.034 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.044 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.045 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1/2 k)))) into 0
14.047 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
14.047 * [backup-simplify]: Simplify (+ 0 0) into 0
14.048 * [backup-simplify]: Simplify (+ (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) 0) (+ (* 0 0) (* 0 (log PI)))) into 0
14.049 * [backup-simplify]: Simplify (* (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) 1)))) 2) into 0
14.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
14.052 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.052 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1/2 k)))) into 0
14.053 * [backup-simplify]: Simplify (- 0) into 0
14.053 * [backup-simplify]: Simplify (+ 0 0) into 0
14.054 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) 0) (+ (* 0 0) (* 0 (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))) into 0
14.055 * [backup-simplify]: Simplify (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
14.057 * [backup-simplify]: Simplify (+ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) 0) (+ (* 0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into 0
14.057 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
14.057 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
14.059 * [backup-simplify]: Simplify (- (/ 0 (sqrt (/ -1 k))) (+ (* (/ (* (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (* (log PI) (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (sqrt (/ -1 k))) (/ 0 (sqrt (/ -1 k)))) (* 0 (/ 0 (sqrt (/ -1 k)))))) into 0
14.059 * [taylor]: Taking taylor expansion of 0 in k
14.059 * [backup-simplify]: Simplify 0 into 0
14.059 * [backup-simplify]: Simplify 0 into 0
14.059 * [backup-simplify]: Simplify 0 into 0
14.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.062 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
14.063 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
14.070 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
14.073 * [backup-simplify]: Simplify (+ (* (log PI) (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- (sqrt 1/2) +nan.0)) (* 0 0))))) into (- (* +nan.0 (log PI)))
14.074 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
14.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.079 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.079 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
14.080 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
14.105 * [backup-simplify]: Simplify (+ (* 0 (- (* +nan.0 (log PI)))) (+ (* (- (sqrt 1/2) +nan.0) (- (* +nan.0 (log PI)))) (+ (* (- +nan.0) (- (* +nan.0 (log PI)))) (+ (* (- +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (* (- +nan.0) 0))))) into (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))
14.155 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) 1) 1)))) into (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt 1/2))) (- (* +nan.0 (log PI))))))))))))
14.232 * [backup-simplify]: Simplify (+ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) 0) (+ (* (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) 0) (* (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt 1/2))) (- (* +nan.0 (log PI)))))))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (sqrt 1/2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (log PI) 2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))))))))))))
14.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
14.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
14.380 * [backup-simplify]: Simplify (- (/ (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (sqrt 1/2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (log PI) 2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2)))))))))))))) +nan.0) (+ (* (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2)))))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (sqrt 1/2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (log PI) 2)))))))))))))))
14.471 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (sqrt 1/2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (log PI) 2))))))))))))))) into (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (sqrt 1/2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (* (log PI) (sqrt 1/2))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow (log PI) 2)))))))))))))))
14.633 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (pow (log PI) 2) (sqrt 1/2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (log PI) (sqrt 1/2))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow (log PI) 2))))))))))))))) (pow (* (/ 1 (- k)) 1) 2)) (+ (* (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (log PI)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (* (log PI) (sqrt 1/2)))))))))) (* (/ 1 (- k)) 1)) (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))))))) into (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow (sqrt 1/2) 2)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (pow k 2))))))))))))))))))))))
14.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
14.634 * [backup-simplify]: Simplify (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)) into (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (sqrt (/ 1 k)))
14.635 * [approximate]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (sqrt (/ 1 k))) in (k) around 0
14.635 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (sqrt (/ 1 k))) in k
14.635 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) in k
14.635 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))) in k
14.635 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) in k
14.635 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) in k
14.635 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.635 * [taylor]: Taking taylor expansion of 1/2 in k
14.635 * [backup-simplify]: Simplify 1/2 into 1/2
14.635 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.636 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
14.636 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.636 * [taylor]: Taking taylor expansion of 1/2 in k
14.636 * [backup-simplify]: Simplify 1/2 into 1/2
14.637 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.637 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.637 * [taylor]: Taking taylor expansion of k in k
14.637 * [backup-simplify]: Simplify 0 into 0
14.637 * [backup-simplify]: Simplify 1 into 1
14.638 * [backup-simplify]: Simplify (sqrt 0) into 0
14.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.639 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) in k
14.639 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) in k
14.639 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI))) in k
14.639 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) in k
14.639 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in k
14.639 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
14.639 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.639 * [taylor]: Taking taylor expansion of 1/2 in k
14.640 * [backup-simplify]: Simplify 1/2 into 1/2
14.640 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.641 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.641 * [taylor]: Taking taylor expansion of k in k
14.641 * [backup-simplify]: Simplify 0 into 0
14.641 * [backup-simplify]: Simplify 1 into 1
14.641 * [backup-simplify]: Simplify (sqrt 0) into 0
14.642 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.642 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.642 * [taylor]: Taking taylor expansion of 1/2 in k
14.642 * [backup-simplify]: Simplify 1/2 into 1/2
14.643 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.644 * [taylor]: Taking taylor expansion of (log PI) in k
14.644 * [taylor]: Taking taylor expansion of PI in k
14.644 * [backup-simplify]: Simplify PI into PI
14.644 * [backup-simplify]: Simplify (log PI) into (log PI)
14.645 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
14.645 * [backup-simplify]: Simplify (+ 0 (sqrt 1/2)) into (sqrt 1/2)
14.647 * [backup-simplify]: Simplify (* (sqrt 1/2) (log PI)) into (* (log PI) (sqrt 1/2))
14.649 * [backup-simplify]: Simplify (exp (* (log PI) (sqrt 1/2))) into (exp (* (log PI) (sqrt 1/2)))
14.652 * [backup-simplify]: Simplify (log (exp (* (log PI) (sqrt 1/2)))) into (* (log PI) (sqrt 1/2))
14.653 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
14.653 * [backup-simplify]: Simplify (- 0) into 0
14.654 * [backup-simplify]: Simplify (+ (sqrt 1/2) 0) into (sqrt 1/2)
14.657 * [backup-simplify]: Simplify (* (sqrt 1/2) (* (log PI) (sqrt 1/2))) into (* (log PI) (pow (sqrt 1/2) 2))
14.660 * [backup-simplify]: Simplify (exp (* (log PI) (pow (sqrt 1/2) 2))) into (exp (* (log PI) (pow (sqrt 1/2) 2)))
14.660 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.660 * [taylor]: Taking taylor expansion of k in k
14.660 * [backup-simplify]: Simplify 0 into 0
14.660 * [backup-simplify]: Simplify 1 into 1
14.661 * [backup-simplify]: Simplify (/ 1 1) into 1
14.661 * [backup-simplify]: Simplify (sqrt 0) into 0
14.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.662 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) (sqrt (/ 1 k))) in k
14.662 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k)))) in k
14.662 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))))) in k
14.662 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))))) in k
14.662 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt k))) in k
14.663 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.663 * [taylor]: Taking taylor expansion of 1/2 in k
14.663 * [backup-simplify]: Simplify 1/2 into 1/2
14.663 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.664 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
14.664 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.664 * [taylor]: Taking taylor expansion of 1/2 in k
14.664 * [backup-simplify]: Simplify 1/2 into 1/2
14.664 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.665 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.665 * [taylor]: Taking taylor expansion of k in k
14.665 * [backup-simplify]: Simplify 0 into 0
14.665 * [backup-simplify]: Simplify 1 into 1
14.665 * [backup-simplify]: Simplify (sqrt 0) into 0
14.667 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.667 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)))) in k
14.667 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))) in k
14.667 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI))) in k
14.667 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) (log PI)) in k
14.667 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in k
14.667 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
14.667 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.667 * [taylor]: Taking taylor expansion of 1/2 in k
14.667 * [backup-simplify]: Simplify 1/2 into 1/2
14.668 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.668 * [taylor]: Taking taylor expansion of (sqrt k) in k
14.668 * [taylor]: Taking taylor expansion of k in k
14.668 * [backup-simplify]: Simplify 0 into 0
14.668 * [backup-simplify]: Simplify 1 into 1
14.669 * [backup-simplify]: Simplify (sqrt 0) into 0
14.670 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.670 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
14.670 * [taylor]: Taking taylor expansion of 1/2 in k
14.670 * [backup-simplify]: Simplify 1/2 into 1/2
14.670 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
14.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
14.671 * [taylor]: Taking taylor expansion of (log PI) in k
14.671 * [taylor]: Taking taylor expansion of PI in k
14.671 * [backup-simplify]: Simplify PI into PI
14.672 * [backup-simplify]: Simplify (log PI) into (log PI)
14.672 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
14.673 * [backup-simplify]: Simplify (+ 0 (sqrt 1/2)) into (sqrt 1/2)
14.675 * [backup-simplify]: Simplify (* (sqrt 1/2) (log PI)) into (* (log PI) (sqrt 1/2))
14.677 * [backup-simplify]: Simplify (exp (* (log PI) (sqrt 1/2))) into (exp (* (log PI) (sqrt 1/2)))
14.680 * [backup-simplify]: Simplify (log (exp (* (log PI) (sqrt 1/2)))) into (* (log PI) (sqrt 1/2))
14.680 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
14.681 * [backup-simplify]: Simplify (- 0) into 0
14.682 * [backup-simplify]: Simplify (+ (sqrt 1/2) 0) into (sqrt 1/2)
14.684 * [backup-simplify]: Simplify (* (sqrt 1/2) (* (log PI) (sqrt 1/2))) into (* (log PI) (pow (sqrt 1/2) 2))
14.688 * [backup-simplify]: Simplify (exp (* (log PI) (pow (sqrt 1/2) 2))) into (exp (* (log PI) (pow (sqrt 1/2) 2)))
14.688 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
14.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k
14.688 * [taylor]: Taking taylor expansion of k in k
14.688 * [backup-simplify]: Simplify 0 into 0
14.688 * [backup-simplify]: Simplify 1 into 1
14.688 * [backup-simplify]: Simplify (/ 1 1) into 1
14.689 * [backup-simplify]: Simplify (sqrt 0) into 0
14.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
14.691 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) 0) into 0
14.691 * [backup-simplify]: Simplify 0 into 0
14.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
14.694 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
14.695 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
14.698 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
14.706 * [backup-simplify]: Simplify (* (exp (* (log PI) (sqrt 1/2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* +nan.0 (* (exp (* (log PI) (sqrt 1/2))) (* (log PI) (sqrt 1/2))))
14.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (* (log PI) (sqrt 1/2))) (* (log PI) (sqrt 1/2))))) 1)) (pow (exp (* (log PI) (sqrt 1/2))) 1)))) 1) into (* +nan.0 (* (log PI) (sqrt 1/2)))
14.722 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
14.724 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
14.727 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
14.736 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (* (log PI) (sqrt 1/2)))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
14.762 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)))) into (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2))))
14.771 * [backup-simplify]: Simplify (+ (* (exp (* (log PI) (pow (sqrt 1/2) 2))) +nan.0) (* (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) 0)) into (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))))
14.777 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2))))) into (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))))
14.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
14.781 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.784 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
14.787 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
14.791 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
14.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
14.794 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
14.803 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
14.827 * [backup-simplify]: Simplify (* (exp (* (log PI) (sqrt 1/2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (* (log PI) (sqrt 1/2))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
14.887 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (exp (* (log PI) (sqrt 1/2))) (* (log PI) (sqrt 1/2))))) 2)) (pow (exp (* (log PI) (sqrt 1/2))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (* (log PI) (sqrt 1/2))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (* (log PI) (sqrt 1/2))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))
14.888 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
14.890 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
14.890 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
14.892 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
14.895 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
14.897 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
14.924 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (* (log PI) (sqrt 1/2))))) into (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))
14.964 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (* (log PI) (pow (sqrt 1/2) 2)))))
14.983 * [backup-simplify]: Simplify (+ (* (exp (* (log PI) (pow (sqrt 1/2) 2))) +nan.0) (+ (* (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) +nan.0) (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) 0))) into (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))))))
15.011 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2))))))) into (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))))))
15.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
15.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.023 * [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
15.027 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.029 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
15.032 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
15.033 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
15.036 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
15.047 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.088 * [backup-simplify]: Simplify (* (exp (* (log PI) (sqrt 1/2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (* (log PI) (sqrt 1/2))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))
15.246 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (exp (* (log PI) (sqrt 1/2))) (* (log PI) (sqrt 1/2))))) 3)) (pow (exp (* (log PI) (sqrt 1/2))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (exp (* (log PI) (sqrt 1/2))) (* (log PI) (sqrt 1/2))))) 1) (pow (* 2 (* -1 (* (exp (* (log PI) (sqrt 1/2))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (* (log PI) (sqrt 1/2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (* (log PI) (sqrt 1/2))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))) 1)) (pow (exp (* (log PI) (sqrt 1/2))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))
15.247 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
15.252 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
15.253 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
15.256 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
15.258 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
15.261 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
15.341 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (* (log PI) (sqrt 1/2)))))) into (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))))
15.461 * [backup-simplify]: Simplify (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))))))) 1) 1)))) into (* -1 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 5)))))))))))))))
15.561 * [backup-simplify]: Simplify (+ (* (exp (* (log PI) (pow (sqrt 1/2) 2))) +nan.0) (+ (* (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) +nan.0) (* (* -1 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 5))))))))))))))) 0)))) into (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4)))))))))))
15.635 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))))))))) into (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4)))))))))))
15.732 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 3)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (pow (sqrt 1/2) 4))))))))))) (pow k 2)) (+ (* (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2))))))) k) (- (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2))))))) into (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) k)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k)) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (pow k 2))))))))))))))))))
15.733 * [backup-simplify]: Simplify (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ (/ 1 k) 2)))) (- (sqrt 1/2) (sqrt (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (sqrt k))
15.733 * [approximate]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (sqrt k)) in (k) around 0
15.733 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (sqrt k)) in k
15.733 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) in k
15.733 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))) in k
15.733 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) in k
15.733 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) in k
15.733 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.733 * [taylor]: Taking taylor expansion of 1/2 in k
15.733 * [backup-simplify]: Simplify 1/2 into 1/2
15.733 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.734 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
15.734 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.734 * [taylor]: Taking taylor expansion of 1/2 in k
15.734 * [backup-simplify]: Simplify 1/2 into 1/2
15.735 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.735 * [taylor]: Taking taylor expansion of k in k
15.735 * [backup-simplify]: Simplify 0 into 0
15.735 * [backup-simplify]: Simplify 1 into 1
15.736 * [backup-simplify]: Simplify (/ 1 1) into 1
15.736 * [backup-simplify]: Simplify (sqrt 0) into 0
15.738 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.738 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) in k
15.738 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) in k
15.738 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) in k
15.738 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) in k
15.738 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in k
15.738 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
15.738 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.738 * [taylor]: Taking taylor expansion of 1/2 in k
15.738 * [backup-simplify]: Simplify 1/2 into 1/2
15.738 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.739 * [taylor]: Taking taylor expansion of k in k
15.739 * [backup-simplify]: Simplify 0 into 0
15.739 * [backup-simplify]: Simplify 1 into 1
15.740 * [backup-simplify]: Simplify (/ 1 1) into 1
15.740 * [backup-simplify]: Simplify (sqrt 0) into 0
15.742 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.742 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.742 * [taylor]: Taking taylor expansion of 1/2 in k
15.742 * [backup-simplify]: Simplify 1/2 into 1/2
15.742 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.743 * [taylor]: Taking taylor expansion of (log PI) in k
15.743 * [taylor]: Taking taylor expansion of PI in k
15.743 * [backup-simplify]: Simplify PI into PI
15.743 * [backup-simplify]: Simplify (log PI) into (log PI)
15.744 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
15.744 * [backup-simplify]: Simplify (+ 0 0) into 0
15.745 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
15.746 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.748 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
15.751 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) (sqrt 1/2)) into (- (* +nan.0 (sqrt 1/2)))
15.756 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.760 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))
15.767 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.767 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
15.768 * [backup-simplify]: Simplify (- 0) into 0
15.768 * [backup-simplify]: Simplify (+ 0 0) into 0
15.769 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into 0
15.772 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.776 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.777 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
15.780 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
15.782 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
15.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.805 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))
15.840 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 1) into (* +nan.0 (* (log PI) (sqrt 1/2)))
15.842 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
15.845 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
15.847 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
15.856 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
15.862 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) into (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))
15.862 * [taylor]: Taking taylor expansion of (sqrt k) in k
15.862 * [taylor]: Taking taylor expansion of k in k
15.862 * [backup-simplify]: Simplify 0 into 0
15.863 * [backup-simplify]: Simplify 1 into 1
15.863 * [backup-simplify]: Simplify (sqrt 0) into 0
15.864 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.864 * [taylor]: Taking taylor expansion of (* (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) (sqrt k)) in k
15.864 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k))))) in k
15.864 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))))) in k
15.864 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))))) in k
15.864 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (* (sqrt 1/2) (sqrt (/ 1 k)))) in k
15.864 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.864 * [taylor]: Taking taylor expansion of 1/2 in k
15.865 * [backup-simplify]: Simplify 1/2 into 1/2
15.865 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.866 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
15.866 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.866 * [taylor]: Taking taylor expansion of 1/2 in k
15.866 * [backup-simplify]: Simplify 1/2 into 1/2
15.866 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.867 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.867 * [taylor]: Taking taylor expansion of k in k
15.867 * [backup-simplify]: Simplify 0 into 0
15.867 * [backup-simplify]: Simplify 1 into 1
15.867 * [backup-simplify]: Simplify (/ 1 1) into 1
15.875 * [backup-simplify]: Simplify (sqrt 0) into 0
15.877 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.877 * [taylor]: Taking taylor expansion of (log (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)))) in k
15.877 * [taylor]: Taking taylor expansion of (pow PI (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))) in k
15.877 * [taylor]: Taking taylor expansion of (exp (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI))) in k
15.877 * [taylor]: Taking taylor expansion of (* (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) (log PI)) in k
15.877 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in k
15.877 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
15.877 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.877 * [taylor]: Taking taylor expansion of 1/2 in k
15.877 * [backup-simplify]: Simplify 1/2 into 1/2
15.877 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.878 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
15.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k
15.878 * [taylor]: Taking taylor expansion of k in k
15.878 * [backup-simplify]: Simplify 0 into 0
15.878 * [backup-simplify]: Simplify 1 into 1
15.878 * [backup-simplify]: Simplify (/ 1 1) into 1
15.879 * [backup-simplify]: Simplify (sqrt 0) into 0
15.880 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.880 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
15.880 * [taylor]: Taking taylor expansion of 1/2 in k
15.880 * [backup-simplify]: Simplify 1/2 into 1/2
15.880 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
15.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
15.881 * [taylor]: Taking taylor expansion of (log PI) in k
15.881 * [taylor]: Taking taylor expansion of PI in k
15.881 * [backup-simplify]: Simplify PI into PI
15.882 * [backup-simplify]: Simplify (log PI) into (log PI)
15.882 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
15.883 * [backup-simplify]: Simplify (+ 0 0) into 0
15.883 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
15.885 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
15.887 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
15.889 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) (sqrt 1/2)) into (- (* +nan.0 (sqrt 1/2)))
15.894 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.898 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))
15.904 * [backup-simplify]: Simplify (log (exp (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.904 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
15.905 * [backup-simplify]: Simplify (- 0) into 0
15.905 * [backup-simplify]: Simplify (+ 0 0) into 0
15.906 * [backup-simplify]: Simplify (* 0 (- (* +nan.0 (* (log PI) (sqrt 1/2))))) into 0
15.909 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
15.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
15.913 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
15.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
15.917 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
15.919 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
15.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
15.943 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))
15.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 1) into (* +nan.0 (* (log PI) (sqrt 1/2)))
15.979 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
15.981 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
15.984 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
15.990 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
15.993 * [backup-simplify]: Simplify (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) into (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))
15.993 * [taylor]: Taking taylor expansion of (sqrt k) in k
15.993 * [taylor]: Taking taylor expansion of k in k
15.993 * [backup-simplify]: Simplify 0 into 0
15.993 * [backup-simplify]: Simplify 1 into 1
15.994 * [backup-simplify]: Simplify (sqrt 0) into 0
15.994 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
15.996 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) 0) into 0
15.996 * [backup-simplify]: Simplify 0 into 0
15.999 * [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
15.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.002 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.008 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
16.010 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
16.011 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
16.012 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
16.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
16.040 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
16.127 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 2)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))
16.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
16.131 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.132 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
16.134 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
16.136 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
16.139 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
16.169 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) into (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))
16.191 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1)))) into (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))
16.204 * [backup-simplify]: Simplify (+ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) +nan.0) (* (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) 0)) into (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))
16.213 * [backup-simplify]: Simplify (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) into (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))
16.216 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
16.224 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
16.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.228 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
16.230 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (* +nan.0 (sqrt 1/2)))
16.230 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
16.232 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
16.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI)))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
16.282 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))
16.486 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 3)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))
16.488 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
16.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.492 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.493 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
16.494 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
16.496 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
16.497 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
16.525 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))
16.571 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))
16.614 * [backup-simplify]: Simplify (+ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) +nan.0) (+ (* (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) 0))) into (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))))
16.642 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) into (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))))
16.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.662 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0
16.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
16.668 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)) (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
16.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
16.673 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))))) into (- (* +nan.0 (sqrt 1/2)))
16.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
16.676 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
16.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (+ (* (- (* +nan.0 (sqrt 1/2))) 0) (* (- (* +nan.0 (sqrt 1/2))) (log PI))))))) into (- (* +nan.0 (* (log PI) (sqrt 1/2))))
16.761 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 4) 24)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1) (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 2) 2)) (* (/ (pow (- (* +nan.0 (* (log PI) (sqrt 1/2)))) 1) 1)))) into (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))))
17.163 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 4)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 4))) (* 12 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 2) (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 3))) (* -3 (/ (* 1 (pow (* 2 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) 2)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* -4 (/ (* (pow (* 1 (* +nan.0 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (* (log PI) (sqrt 1/2))))) 1) 1 (pow (* 6 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* -1 (* (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3)))))))))))) 1)) (pow (exp (- (* +nan.0 (* (log PI) (sqrt 1/2))))) 1)))) 24) into (* -1/24 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))))
17.164 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
17.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.167 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
17.168 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
17.170 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (* +nan.0 (sqrt 1/2)))
17.171 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
17.173 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2)))
17.249 * [backup-simplify]: Simplify (+ (* 0 (* -1/24 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 4) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* -1/6 (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 3))))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* -1/2 (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* (- (* +nan.0 (sqrt 1/2))) (* +nan.0 (* (log PI) (sqrt 1/2)))) (* (- (* +nan.0 (sqrt 1/2))) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))))) into (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))
17.364 * [backup-simplify]: Simplify (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (+ (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 3) 6)) (* (/ (pow (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))) 1) 1) (/ (pow (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))) 1) 1)) (* (/ (pow (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 5))))))))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))
17.506 * [backup-simplify]: Simplify (+ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) +nan.0) (+ (* (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) +nan.0) (+ (* (* -1 (* (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) +nan.0) (* (* -1 (* (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 6))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 4))) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 3))) (- (* +nan.0 (* (pow (log PI) 3) (pow (sqrt 1/2) 5))))))))))))) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) 0)))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))))))))
17.588 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))))))) into (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))))))))
18.094 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (+ (* +nan.0 (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))))))) (pow (/ 1 k) 3)) (+ (* (- (+ (* +nan.0 (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2)))))))) (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))))) (pow (/ 1 k) 2)) (* (- (* +nan.0 (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (/ 1 k)))) into (- (+ (* +nan.0 (/ (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) k)) (- (* +nan.0 (/ (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 3))))))))))))))))
18.095 * [backup-simplify]: Simplify (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ (/ 1 (- k)) 2)))) (- (sqrt 1/2) (sqrt (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (sqrt (/ -1 k)))
18.095 * [approximate]: Taking taylor expansion of (/ (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (sqrt (/ -1 k))) in (k) around 0
18.095 * [taylor]: Taking taylor expansion of (/ (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (sqrt (/ -1 k))) in k
18.095 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) in k
18.095 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))) in k
18.095 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) in k
18.095 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (sqrt (/ -1/2 k))) in k
18.095 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
18.095 * [taylor]: Taking taylor expansion of 1/2 in k
18.095 * [backup-simplify]: Simplify 1/2 into 1/2
18.095 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
18.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
18.095 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
18.095 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
18.095 * [taylor]: Taking taylor expansion of -1/2 in k
18.095 * [backup-simplify]: Simplify -1/2 into -1/2
18.095 * [taylor]: Taking taylor expansion of k in k
18.096 * [backup-simplify]: Simplify 0 into 0
18.096 * [backup-simplify]: Simplify 1 into 1
18.096 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.096 * [backup-simplify]: Simplify (sqrt 0) into 0
18.097 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
18.097 * [taylor]: Taking taylor expansion of (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) in k
18.097 * [taylor]: Taking taylor expansion of (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) in k
18.097 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI))) in k
18.097 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) in k
18.097 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in k
18.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
18.097 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
18.097 * [taylor]: Taking taylor expansion of -1/2 in k
18.097 * [backup-simplify]: Simplify -1/2 into -1/2
18.097 * [taylor]: Taking taylor expansion of k in k
18.097 * [backup-simplify]: Simplify 0 into 0
18.097 * [backup-simplify]: Simplify 1 into 1
18.097 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.098 * [backup-simplify]: Simplify (sqrt 0) into 0
18.098 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
18.098 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
18.098 * [taylor]: Taking taylor expansion of 1/2 in k
18.098 * [backup-simplify]: Simplify 1/2 into 1/2
18.099 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
18.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
18.099 * [taylor]: Taking taylor expansion of (log PI) in k
18.099 * [taylor]: Taking taylor expansion of PI in k
18.099 * [backup-simplify]: Simplify PI into PI
18.099 * [backup-simplify]: Simplify (log PI) into (log PI)
18.100 * [backup-simplify]: Simplify (+ 0 0) into 0
18.100 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
18.101 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.102 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1/2)) into (- (sqrt 1/2) +nan.0)
18.104 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1/2) +nan.0) (log PI))) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
18.106 * [backup-simplify]: Simplify (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) into (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))
18.110 * [backup-simplify]: Simplify (log (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
18.110 * [backup-simplify]: Simplify (- 0) into 0
18.111 * [backup-simplify]: Simplify (+ 0 0) into 0
18.111 * [backup-simplify]: Simplify (* 0 (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) into 0
18.113 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
18.115 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.116 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
18.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2) +nan.0) 0) (* (- +nan.0) (log PI)))) into (- (* +nan.0 (log PI)))
18.128 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (+ (* (/ (pow (- (* +nan.0 (log PI))) 1) 1)))) into (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))
18.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 1)))) 1) into (* +nan.0 (log PI))
18.159 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.160 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- +nan.0)) into (- (sqrt 1/2) +nan.0)
18.173 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log PI))) (* (- (sqrt 1/2) +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))) into (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))
18.184 * [backup-simplify]: Simplify (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) into (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
18.184 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.184 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.184 * [taylor]: Taking taylor expansion of -1 in k
18.184 * [backup-simplify]: Simplify -1 into -1
18.184 * [taylor]: Taking taylor expansion of k in k
18.184 * [backup-simplify]: Simplify 0 into 0
18.184 * [backup-simplify]: Simplify 1 into 1
18.185 * [backup-simplify]: Simplify (/ -1 1) into -1
18.185 * [backup-simplify]: Simplify (sqrt 0) into 0
18.186 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.199 * [backup-simplify]: Simplify (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) +nan.0) into (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))))
18.199 * [taylor]: Taking taylor expansion of (/ (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) (sqrt (/ -1 k))) in k
18.200 * [taylor]: Taking taylor expansion of (pow (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ -1/2 k)))) in k
18.200 * [taylor]: Taking taylor expansion of (exp (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))))) in k
18.200 * [taylor]: Taking taylor expansion of (* (- (sqrt 1/2) (sqrt (/ -1/2 k))) (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))))) in k
18.200 * [taylor]: Taking taylor expansion of (- (sqrt 1/2) (sqrt (/ -1/2 k))) in k
18.200 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
18.200 * [taylor]: Taking taylor expansion of 1/2 in k
18.200 * [backup-simplify]: Simplify 1/2 into 1/2
18.200 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
18.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
18.201 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
18.201 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
18.201 * [taylor]: Taking taylor expansion of -1/2 in k
18.201 * [backup-simplify]: Simplify -1/2 into -1/2
18.201 * [taylor]: Taking taylor expansion of k in k
18.201 * [backup-simplify]: Simplify 0 into 0
18.201 * [backup-simplify]: Simplify 1 into 1
18.201 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.202 * [backup-simplify]: Simplify (sqrt 0) into 0
18.203 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
18.203 * [taylor]: Taking taylor expansion of (log (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2)))) in k
18.203 * [taylor]: Taking taylor expansion of (pow PI (+ (sqrt (/ -1/2 k)) (sqrt 1/2))) in k
18.203 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI))) in k
18.203 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) (log PI)) in k
18.203 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in k
18.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
18.203 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
18.203 * [taylor]: Taking taylor expansion of -1/2 in k
18.203 * [backup-simplify]: Simplify -1/2 into -1/2
18.203 * [taylor]: Taking taylor expansion of k in k
18.203 * [backup-simplify]: Simplify 0 into 0
18.203 * [backup-simplify]: Simplify 1 into 1
18.203 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
18.204 * [backup-simplify]: Simplify (sqrt 0) into 0
18.205 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
18.205 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
18.205 * [taylor]: Taking taylor expansion of 1/2 in k
18.205 * [backup-simplify]: Simplify 1/2 into 1/2
18.205 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
18.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
18.206 * [taylor]: Taking taylor expansion of (log PI) in k
18.206 * [taylor]: Taking taylor expansion of PI in k
18.206 * [backup-simplify]: Simplify PI into PI
18.206 * [backup-simplify]: Simplify (log PI) into (log PI)
18.207 * [backup-simplify]: Simplify (+ 0 0) into 0
18.207 * [backup-simplify]: Simplify (* 0 (log PI)) into 0
18.209 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
18.209 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1/2)) into (- (sqrt 1/2) +nan.0)
18.213 * [backup-simplify]: Simplify (+ (* 0 0) (* (- (sqrt 1/2) +nan.0) (log PI))) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
18.217 * [backup-simplify]: Simplify (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) into (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))
18.222 * [backup-simplify]: Simplify (log (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))) into (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))
18.223 * [backup-simplify]: Simplify (- 0) into 0
18.223 * [backup-simplify]: Simplify (+ 0 0) into 0
18.224 * [backup-simplify]: Simplify (* 0 (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) into 0
18.227 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
18.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
18.230 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.231 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
18.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2) +nan.0) 0) (* (- +nan.0) (log PI)))) into (- (* +nan.0 (log PI)))
18.249 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (+ (* (/ (pow (- (* +nan.0 (log PI))) 1) 1)))) into (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))
18.281 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 1)))) 1) into (* +nan.0 (log PI))
18.282 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.283 * [backup-simplify]: Simplify (+ (sqrt 1/2) (- +nan.0)) into (- (sqrt 1/2) +nan.0)
18.290 * [backup-simplify]: Simplify (+ (* 0 (* +nan.0 (log PI))) (* (- (sqrt 1/2) +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))) into (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))
18.300 * [backup-simplify]: Simplify (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) into (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
18.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k
18.300 * [taylor]: Taking taylor expansion of (/ -1 k) in k
18.300 * [taylor]: Taking taylor expansion of -1 in k
18.300 * [backup-simplify]: Simplify -1 into -1
18.301 * [taylor]: Taking taylor expansion of k in k
18.301 * [backup-simplify]: Simplify 0 into 0
18.301 * [backup-simplify]: Simplify 1 into 1
18.301 * [backup-simplify]: Simplify (/ -1 1) into -1
18.301 * [backup-simplify]: Simplify (sqrt 0) into 0
18.306 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
18.319 * [backup-simplify]: Simplify (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) +nan.0) into (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))))
18.333 * [backup-simplify]: Simplify (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) into (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))))
18.338 * [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
18.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.343 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
18.344 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
18.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2) +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log PI))))) into (- (* +nan.0 (log PI)))
18.369 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (+ (* (/ (pow (- (* +nan.0 (log PI))) 2) 2)) (* (/ (pow (- (* +nan.0 (log PI))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log PI) 2)) (- (* +nan.0 (log PI)))) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))
18.452 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 2)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* -1 (* (+ (* +nan.0 (pow (log PI) 2)) (- (* +nan.0 (log PI)))) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 1)))) 2) into (* -1/2 (+ (* +nan.0 (pow (log PI) 2)) (- (* +nan.0 (log PI)))))
18.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
18.455 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.456 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.457 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
18.472 * [backup-simplify]: Simplify (+ (* 0 (* -1/2 (+ (* +nan.0 (pow (log PI) 2)) (- (* +nan.0 (log PI)))))) (+ (* (- (sqrt 1/2) +nan.0) (* +nan.0 (log PI))) (* (- +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))))) into (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))
18.504 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) 1) 1)))) into (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))
18.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
18.508 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
18.564 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) +nan.0) (+ (* (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI))))))))
18.645 * [backup-simplify]: Simplify (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)))))))) into (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI))))))))
18.657 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0
18.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.663 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
18.665 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
18.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2) +nan.0) 0) (+ (* (- +nan.0) 0) (+ (* (- +nan.0) 0) (* (- +nan.0) (log PI)))))) into (- (* +nan.0 (log PI)))
18.710 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) (+ (* (/ (pow (- (* +nan.0 (log PI))) 3) 6)) (* (/ (pow (- (* +nan.0 (log PI))) 1) 1) (/ (pow (- (* +nan.0 (log PI))) 1) 1)) (* (/ (pow (- (* +nan.0 (log PI))) 1) 1)))) into (* -1 (* (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (pow (log PI) 3)) (- (* +nan.0 (log PI)))))) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))
18.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 3)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 3))) (* -3 (/ (* (pow (* 1 (* +nan.0 (* (log PI) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1) (pow (* 2 (* -1 (* (+ (* +nan.0 (pow (log PI) 2)) (- (* +nan.0 (log PI)))) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 (* -1 (* (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (pow (log PI) 3)) (- (* +nan.0 (log PI)))))) (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) 1)) (pow (exp (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI)))) 1)))) 6) into (* -1/6 (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (pow (log PI) 3)) (- (* +nan.0 (log PI)))))))
18.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
18.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.849 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
18.850 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
18.851 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
18.888 * [backup-simplify]: Simplify (+ (* 0 (* -1/6 (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (pow (log PI) 3)) (- (* +nan.0 (log PI)))))))) (+ (* (- (sqrt 1/2) +nan.0) (* -1/2 (+ (* +nan.0 (pow (log PI) 2)) (- (* +nan.0 (log PI)))))) (+ (* (- +nan.0) (* +nan.0 (log PI))) (* (- +nan.0) (- (* (log PI) (sqrt 1/2)) (* +nan.0 (log PI))))))) into (- (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt 1/2))))))))))
18.972 * [backup-simplify]: Simplify (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (* +nan.0 (log PI)))))) (+ (* (/ (pow (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))) 2) 2)) (* (/ (pow (- (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (pow (log PI) 2) (sqrt 1/2)))))))))) 1) 1)))) into (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt 1/2))) (- (* +nan.0 (log PI))))))))))))
18.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
18.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
19.134 * [backup-simplify]: Simplify (- (/ (* -1 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (+ (* +nan.0 (* (log PI) (sqrt 1/2))) (- (+ (* +nan.0 (pow (log PI) 2)) (- (+ (* +nan.0 (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (- (+ (* +nan.0 (* (pow (log PI) 2) (sqrt 1/2))) (- (* +nan.0 (log PI)))))))))))) +nan.0) (+ (* (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (/ +nan.0 +nan.0)) (* (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)))))))) (/ +nan.0 +nan.0)))) into (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI))))))))))))))
19.329 * [backup-simplify]: Simplify (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)))))))))))))) into (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI))))))))))))))
19.633 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)))))))))))))) (pow (/ 1 (- k)) 2)) (+ (* (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2)))) (- (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)))))))) (/ 1 (- k))) (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))))) into (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) k)) (- (+ (* +nan.0 (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2))) (pow k 2))))))))))))))))))))))
19.633 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2)
19.636 * [backup-simplify]: Simplify (+ (sqrt 1/2) (sqrt (/ k 2))) into (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2))
19.636 * [approximate]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in (k) around 0
19.636 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in k
19.636 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
19.636 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.636 * [taylor]: Taking taylor expansion of 1/2 in k
19.636 * [backup-simplify]: Simplify 1/2 into 1/2
19.636 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.637 * [taylor]: Taking taylor expansion of (sqrt k) in k
19.637 * [taylor]: Taking taylor expansion of k in k
19.637 * [backup-simplify]: Simplify 0 into 0
19.637 * [backup-simplify]: Simplify 1 into 1
19.638 * [backup-simplify]: Simplify (sqrt 0) into 0
19.639 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
19.639 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.639 * [taylor]: Taking taylor expansion of 1/2 in k
19.640 * [backup-simplify]: Simplify 1/2 into 1/2
19.640 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.641 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt k)) (sqrt 1/2)) in k
19.641 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt k)) in k
19.641 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.641 * [taylor]: Taking taylor expansion of 1/2 in k
19.641 * [backup-simplify]: Simplify 1/2 into 1/2
19.641 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.642 * [taylor]: Taking taylor expansion of (sqrt k) in k
19.642 * [taylor]: Taking taylor expansion of k in k
19.642 * [backup-simplify]: Simplify 0 into 0
19.642 * [backup-simplify]: Simplify 1 into 1
19.643 * [backup-simplify]: Simplify (sqrt 0) into 0
19.644 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
19.644 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.644 * [taylor]: Taking taylor expansion of 1/2 in k
19.644 * [backup-simplify]: Simplify 1/2 into 1/2
19.644 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.646 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
19.647 * [backup-simplify]: Simplify (+ 0 (sqrt 1/2)) into (sqrt 1/2)
19.647 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.649 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
19.652 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
19.654 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
19.657 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
19.658 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
19.661 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
19.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
19.664 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
19.666 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
19.670 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow k 2)) (+ (* (- (* +nan.0 (sqrt 1/2))) k) (sqrt 1/2))) into (- (sqrt 1/2) (+ (* +nan.0 (* (sqrt 1/2) k)) (- (* +nan.0 (* (sqrt 1/2) (pow k 2))))))
19.670 * [backup-simplify]: Simplify (+ (sqrt 1/2) (sqrt (/ (/ 1 k) 2))) into (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2))
19.670 * [approximate]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in (k) around 0
19.670 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in k
19.670 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
19.670 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.670 * [taylor]: Taking taylor expansion of 1/2 in k
19.670 * [backup-simplify]: Simplify 1/2 into 1/2
19.671 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
19.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.672 * [taylor]: Taking taylor expansion of k in k
19.672 * [backup-simplify]: Simplify 0 into 0
19.672 * [backup-simplify]: Simplify 1 into 1
19.672 * [backup-simplify]: Simplify (/ 1 1) into 1
19.672 * [backup-simplify]: Simplify (sqrt 0) into 0
19.674 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
19.674 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.674 * [taylor]: Taking taylor expansion of 1/2 in k
19.674 * [backup-simplify]: Simplify 1/2 into 1/2
19.674 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.675 * [taylor]: Taking taylor expansion of (+ (* (sqrt 1/2) (sqrt (/ 1 k))) (sqrt 1/2)) in k
19.675 * [taylor]: Taking taylor expansion of (* (sqrt 1/2) (sqrt (/ 1 k))) in k
19.675 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.675 * [taylor]: Taking taylor expansion of 1/2 in k
19.675 * [backup-simplify]: Simplify 1/2 into 1/2
19.676 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.676 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k
19.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k
19.676 * [taylor]: Taking taylor expansion of k in k
19.676 * [backup-simplify]: Simplify 0 into 0
19.676 * [backup-simplify]: Simplify 1 into 1
19.677 * [backup-simplify]: Simplify (/ 1 1) into 1
19.677 * [backup-simplify]: Simplify (sqrt 0) into 0
19.679 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
19.679 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.679 * [taylor]: Taking taylor expansion of 1/2 in k
19.679 * [backup-simplify]: Simplify 1/2 into 1/2
19.679 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.680 * [backup-simplify]: Simplify (* (sqrt 1/2) 0) into 0
19.681 * [backup-simplify]: Simplify (+ 0 0) into 0
19.681 * [backup-simplify]: Simplify 0 into 0
19.683 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 1/2)))
19.686 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) (sqrt 1/2)) into (- (* +nan.0 (sqrt 1/2)))
19.687 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
19.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
19.692 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
19.693 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
19.696 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 1/2)))
19.698 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
19.700 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
19.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
19.706 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0
19.709 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (sqrt 1/2)))
19.711 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
19.713 * [backup-simplify]: Simplify (+ (- (* +nan.0 (sqrt 1/2))) 0) into (- (* +nan.0 (sqrt 1/2)))
19.715 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2)))
19.720 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (pow (/ 1 k) 2)) (+ (* (- (* +nan.0 (sqrt 1/2))) (/ 1 k)) (- (* +nan.0 (sqrt 1/2))))) into (- (+ (* +nan.0 (/ (sqrt 1/2) k)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow k 2))) (- (* +nan.0 (sqrt 1/2)))))))
19.721 * [backup-simplify]: Simplify (+ (sqrt 1/2) (sqrt (/ (/ 1 (- k)) 2))) into (+ (sqrt (/ -1/2 k)) (sqrt 1/2))
19.721 * [approximate]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in (k) around 0
19.721 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in k
19.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
19.721 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
19.721 * [taylor]: Taking taylor expansion of -1/2 in k
19.721 * [backup-simplify]: Simplify -1/2 into -1/2
19.721 * [taylor]: Taking taylor expansion of k in k
19.721 * [backup-simplify]: Simplify 0 into 0
19.721 * [backup-simplify]: Simplify 1 into 1
19.721 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.722 * [backup-simplify]: Simplify (sqrt 0) into 0
19.723 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
19.723 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.723 * [taylor]: Taking taylor expansion of 1/2 in k
19.723 * [backup-simplify]: Simplify 1/2 into 1/2
19.724 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.724 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1/2 k)) (sqrt 1/2)) in k
19.724 * [taylor]: Taking taylor expansion of (sqrt (/ -1/2 k)) in k
19.724 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k
19.724 * [taylor]: Taking taylor expansion of -1/2 in k
19.725 * [backup-simplify]: Simplify -1/2 into -1/2
19.725 * [taylor]: Taking taylor expansion of k in k
19.725 * [backup-simplify]: Simplify 0 into 0
19.725 * [backup-simplify]: Simplify 1 into 1
19.725 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.725 * [backup-simplify]: Simplify (sqrt 0) into 0
19.727 * [backup-simplify]: Simplify (/ -1/2 (* 2 (sqrt 0))) into +nan.0
19.727 * [taylor]: Taking taylor expansion of (sqrt 1/2) in k
19.727 * [taylor]: Taking taylor expansion of 1/2 in k
19.727 * [backup-simplify]: Simplify 1/2 into 1/2
19.727 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2)
19.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0
19.729 * [backup-simplify]: Simplify (+ 0 0) into 0
19.729 * [backup-simplify]: Simplify 0 into 0
19.729 * [backup-simplify]: Simplify (+ +nan.0 (sqrt 1/2)) into (- (sqrt 1/2) +nan.0)
19.730 * [backup-simplify]: Simplify (- (sqrt 1/2) +nan.0) into (- (sqrt 1/2) +nan.0)
19.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0
19.734 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
19.735 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
19.735 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
19.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.741 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
19.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0
19.742 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
19.743 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
19.745 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) (- (sqrt 1/2) +nan.0))) into (- (sqrt 1/2) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
19.745 * * * [progress]: simplifying candidates
19.745 * * * * [progress]: [ 1 / 327 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.745 * * * * [progress]: [ 2 / 327 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.745 * * * * [progress]: [ 3 / 327 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.745 * * * * [progress]: [ 4 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.745 * * * * [progress]: [ 5 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.745 * * * * [progress]: [ 6 / 327 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.745 * * * * [progress]: [ 7 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 8 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 9 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 10 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 11 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 12 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 13 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 14 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 15 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 16 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 17 / 327 ] simplifiying candidate #<alt (λ (k n) (* (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 18 / 327 ] simplifiying candidate #<alt (λ (k n) (* (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 19 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.746 * * * * [progress]: [ 20 / 327 ] simplifiying candidate #<alt (λ (k n) (* (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.747 * * * * [progress]: [ 21 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.747 * * * * [progress]: [ 22 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.747 * * * * [progress]: [ 23 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.747 * * * * [progress]: [ 24 / 327 ] simplifiying candidate #<alt (λ (k n) (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.747 * * * * [progress]: [ 25 / 327 ] simplifiying candidate #<alt (λ (k n) (pow (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) 1))>
19.747 * * * * [progress]: [ 26 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.747 * * * * [progress]: [ 27 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.747 * * * * [progress]: [ 28 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.747 * * * * [progress]: [ 29 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.747 * * * * [progress]: [ 30 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (- (log (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (log (sqrt k))))))>
19.747 * * * * [progress]: [ 31 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (+ (log n) (log 2)) (- 1/2 (/ k 2))) (log (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.748 * * * * [progress]: [ 32 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 33 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 34 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 35 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 36 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 37 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.748 * * * * [progress]: [ 38 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 39 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 40 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 41 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 42 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (- (log (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (log (sqrt k))))))>
19.748 * * * * [progress]: [ 43 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (* (log (* n 2)) (- 1/2 (/ k 2))) (log (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.748 * * * * [progress]: [ 44 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.749 * * * * [progress]: [ 45 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.749 * * * * [progress]: [ 46 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.749 * * * * [progress]: [ 47 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.749 * * * * [progress]: [ 48 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (- (log (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (log (sqrt k))))))>
19.749 * * * * [progress]: [ 49 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (+ (log (pow (* n 2) (- 1/2 (/ k 2)))) (log (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.749 * * * * [progress]: [ 50 / 327 ] simplifiying candidate #<alt (λ (k n) (exp (log (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.749 * * * * [progress]: [ 51 / 327 ] simplifiying candidate #<alt (λ (k n) (log (exp (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.749 * * * * [progress]: [ 52 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (* (* (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
19.749 * * * * [progress]: [ 53 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))) (* (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.749 * * * * [progress]: [ 54 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))) (cbrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.749 * * * * [progress]: [ 55 / 327 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.749 * * * * [progress]: [ 56 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (sqrt (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.750 * * * * [progress]: [ 57 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (* (pow (* n 2) (/ k 2)) (sqrt k))))>
19.750 * * * * [progress]: [ 58 / 327 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.750 * * * * [progress]: [ 59 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.750 * * * * [progress]: [ 60 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 61 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 62 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 63 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 64 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 65 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 66 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 67 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.750 * * * * [progress]: [ 68 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 69 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 70 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.751 * * * * [progress]: [ 71 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 72 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 73 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 74 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 75 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 76 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 77 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 78 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.751 * * * * [progress]: [ 79 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))))))>
19.752 * * * * [progress]: [ 80 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))))))>
19.752 * * * * [progress]: [ 81 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (cbrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))) (cbrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.752 * * * * [progress]: [ 82 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.752 * * * * [progress]: [ 83 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.752 * * * * [progress]: [ 84 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.752 * * * * [progress]: [ 85 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.752 * * * * [progress]: [ 86 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt 1))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k))))>
19.752 * * * * [progress]: [ 87 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.752 * * * * [progress]: [ 88 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k))))>
19.752 * * * * [progress]: [ 89 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.752 * * * * [progress]: [ 90 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.753 * * * * [progress]: [ 91 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.753 * * * * [progress]: [ 92 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt 1))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k))))>
19.753 * * * * [progress]: [ 93 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.753 * * * * [progress]: [ 94 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k))))>
19.753 * * * * [progress]: [ 95 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.753 * * * * [progress]: [ 96 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.753 * * * * [progress]: [ 97 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.753 * * * * [progress]: [ 98 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.753 * * * * [progress]: [ 99 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.753 * * * * [progress]: [ 100 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.753 * * * * [progress]: [ 101 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.753 * * * * [progress]: [ 102 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.754 * * * * [progress]: [ 103 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.754 * * * * [progress]: [ 104 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.754 * * * * [progress]: [ 105 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.754 * * * * [progress]: [ 106 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.754 * * * * [progress]: [ 107 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.754 * * * * [progress]: [ 108 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.754 * * * * [progress]: [ 109 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.754 * * * * [progress]: [ 110 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.754 * * * * [progress]: [ 111 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.754 * * * * [progress]: [ 112 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.754 * * * * [progress]: [ 113 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.754 * * * * [progress]: [ 114 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.755 * * * * [progress]: [ 115 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.755 * * * * [progress]: [ 116 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.755 * * * * [progress]: [ 117 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.755 * * * * [progress]: [ 118 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.755 * * * * [progress]: [ 119 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.755 * * * * [progress]: [ 120 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.755 * * * * [progress]: [ 121 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.755 * * * * [progress]: [ 122 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.755 * * * * [progress]: [ 123 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.755 * * * * [progress]: [ 124 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.755 * * * * [progress]: [ 125 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.756 * * * * [progress]: [ 126 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.756 * * * * [progress]: [ 127 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.756 * * * * [progress]: [ 128 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.756 * * * * [progress]: [ 129 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.756 * * * * [progress]: [ 130 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.756 * * * * [progress]: [ 131 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.756 * * * * [progress]: [ 132 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.756 * * * * [progress]: [ 133 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.756 * * * * [progress]: [ 134 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.756 * * * * [progress]: [ 135 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.756 * * * * [progress]: [ 136 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.756 * * * * [progress]: [ 137 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.757 * * * * [progress]: [ 138 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.757 * * * * [progress]: [ 139 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.757 * * * * [progress]: [ 140 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.757 * * * * [progress]: [ 141 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.757 * * * * [progress]: [ 142 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) 1)) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.757 * * * * [progress]: [ 143 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
19.757 * * * * [progress]: [ 144 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
19.757 * * * * [progress]: [ 145 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
19.757 * * * * [progress]: [ 146 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt 1))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k))))>
19.757 * * * * [progress]: [ 147 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt (sqrt k)))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
19.757 * * * * [progress]: [ 148 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) 1)) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k))))>
19.758 * * * * [progress]: [ 149 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (sqrt k)))))>
19.758 * * * * [progress]: [ 150 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (cbrt k)))))>
19.758 * * * * [progress]: [ 151 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
19.758 * * * * [progress]: [ 152 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt 1))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k))))>
19.758 * * * * [progress]: [ 153 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k)))))>
19.758 * * * * [progress]: [ 154 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) 1)) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k))))>
19.758 * * * * [progress]: [ 155 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k)))))>
19.758 * * * * [progress]: [ 156 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k)))))>
19.758 * * * * [progress]: [ 157 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.758 * * * * [progress]: [ 158 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt 1))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.758 * * * * [progress]: [ 159 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))))>
19.758 * * * * [progress]: [ 160 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.758 * * * * [progress]: [ 161 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (cbrt (sqrt k)))))>
19.759 * * * * [progress]: [ 162 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (* (cbrt k) (cbrt k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (cbrt k)))))>
19.759 * * * * [progress]: [ 163 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))))>
19.759 * * * * [progress]: [ 164 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt 1))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt k))))>
19.759 * * * * [progress]: [ 165 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k)))))>
19.759 * * * * [progress]: [ 166 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt k))))>
19.759 * * * * [progress]: [ 167 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.759 * * * * [progress]: [ 168 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (/ 1 (sqrt k))))>
19.759 * * * * [progress]: [ 169 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.759 * * * * [progress]: [ 170 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) 1/2) (* (pow (* n 2) (- (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.759 * * * * [progress]: [ 171 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.759 * * * * [progress]: [ 172 / 327 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.759 * * * * [progress]: [ 173 / 327 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.760 * * * * [progress]: [ 174 / 327 ] simplifiying candidate #<alt (λ (k n) (* 1 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.760 * * * * [progress]: [ 175 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.760 * * * * [progress]: [ 176 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k)))>
19.760 * * * * [progress]: [ 177 / 327 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* n 2) 1/2) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (pow (* n 2) (/ k 2))))>
19.760 * * * * [progress]: [ 178 / 327 ] simplifiying candidate #<alt (λ (k n) (posit16->real (real->posit16 (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.760 * * * * [progress]: [ 179 / 327 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))>
19.760 * * * * [progress]: [ 180 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)) 1)))>
19.760 * * * * [progress]: [ 181 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.760 * * * * [progress]: [ 182 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (* (* (log PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.760 * * * * [progress]: [ 183 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.760 * * * * [progress]: [ 184 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (* (log (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (log (sqrt k))))))>
19.760 * * * * [progress]: [ 185 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (- (log (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (log (sqrt k))))))>
19.760 * * * * [progress]: [ 186 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (exp (log (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.760 * * * * [progress]: [ 187 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (log (exp (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.761 * * * * [progress]: [ 188 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (/ (* (* (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k))))))>
19.761 * * * * [progress]: [ 189 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (* (cbrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (cbrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))) (cbrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.761 * * * * [progress]: [ 190 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (* (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.761 * * * * [progress]: [ 191 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))) (sqrt (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.761 * * * * [progress]: [ 192 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (- (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt k)))))>
19.761 * * * * [progress]: [ 193 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.761 * * * * [progress]: [ 194 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.761 * * * * [progress]: [ 195 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.761 * * * * [progress]: [ 196 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k)))))>
19.761 * * * * [progress]: [ 197 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.761 * * * * [progress]: [ 198 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k)))))>
19.761 * * * * [progress]: [ 199 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.762 * * * * [progress]: [ 200 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.762 * * * * [progress]: [ 201 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.762 * * * * [progress]: [ 202 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k)))))>
19.762 * * * * [progress]: [ 203 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.762 * * * * [progress]: [ 204 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2)))) (sqrt k)))))>
19.762 * * * * [progress]: [ 205 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.762 * * * * [progress]: [ 206 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.762 * * * * [progress]: [ 207 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.762 * * * * [progress]: [ 208 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.762 * * * * [progress]: [ 209 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.762 * * * * [progress]: [ 210 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.762 * * * * [progress]: [ 211 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.763 * * * * [progress]: [ 212 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.763 * * * * [progress]: [ 213 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.763 * * * * [progress]: [ 214 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.763 * * * * [progress]: [ 215 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.763 * * * * [progress]: [ 216 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.763 * * * * [progress]: [ 217 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.763 * * * * [progress]: [ 218 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.763 * * * * [progress]: [ 219 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.763 * * * * [progress]: [ 220 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.763 * * * * [progress]: [ 221 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.763 * * * * [progress]: [ 222 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.764 * * * * [progress]: [ 223 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.764 * * * * [progress]: [ 224 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.764 * * * * [progress]: [ 225 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.764 * * * * [progress]: [ 226 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.764 * * * * [progress]: [ 227 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.764 * * * * [progress]: [ 228 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.764 * * * * [progress]: [ 229 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.764 * * * * [progress]: [ 230 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.764 * * * * [progress]: [ 231 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.764 * * * * [progress]: [ 232 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.764 * * * * [progress]: [ 233 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.764 * * * * [progress]: [ 234 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.765 * * * * [progress]: [ 235 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.765 * * * * [progress]: [ 236 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.765 * * * * [progress]: [ 237 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.765 * * * * [progress]: [ 238 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.765 * * * * [progress]: [ 239 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.765 * * * * [progress]: [ 240 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.765 * * * * [progress]: [ 241 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.765 * * * * [progress]: [ 242 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.765 * * * * [progress]: [ 243 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.765 * * * * [progress]: [ 244 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.770 * * * * [progress]: [ 245 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.770 * * * * [progress]: [ 246 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.770 * * * * [progress]: [ 247 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.771 * * * * [progress]: [ 248 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.771 * * * * [progress]: [ 249 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.771 * * * * [progress]: [ 250 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.771 * * * * [progress]: [ 251 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.771 * * * * [progress]: [ 252 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.771 * * * * [progress]: [ 253 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (sqrt k))))))>
19.771 * * * * [progress]: [ 254 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (cbrt k))))))>
19.771 * * * * [progress]: [ 255 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.771 * * * * [progress]: [ 256 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt 1)) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k)))))>
19.771 * * * * [progress]: [ 257 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.771 * * * * [progress]: [ 258 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) 1) (/ (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k)))))>
19.772 * * * * [progress]: [ 259 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (sqrt k))))))>
19.772 * * * * [progress]: [ 260 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (cbrt k))))))>
19.772 * * * * [progress]: [ 261 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.772 * * * * [progress]: [ 262 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt 1)) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k)))))>
19.772 * * * * [progress]: [ 263 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt (sqrt k))))))>
19.772 * * * * [progress]: [ 264 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) 1) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k)))))>
19.772 * * * * [progress]: [ 265 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (sqrt k))))))>
19.772 * * * * [progress]: [ 266 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (cbrt k))))))>
19.772 * * * * [progress]: [ 267 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.772 * * * * [progress]: [ 268 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.772 * * * * [progress]: [ 269 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))))))>
19.772 * * * * [progress]: [ 270 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ 1 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.773 * * * * [progress]: [ 271 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (cbrt (sqrt k))))))>
19.773 * * * * [progress]: [ 272 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (cbrt k))))))>
19.773 * * * * [progress]: [ 273 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))))))>
19.773 * * * * [progress]: [ 274 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt 1)) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt k)))))>
19.773 * * * * [progress]: [ 275 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt (sqrt k))))))>
19.773 * * * * [progress]: [ 276 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) 1) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (sqrt k)))))>
19.773 * * * * [progress]: [ 277 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* 1 (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))>
19.773 * * * * [progress]: [ 278 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ 1 (sqrt k)))))>
19.773 * * * * [progress]: [ 279 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.773 * * * * [progress]: [ 280 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k)))))>
19.773 * * * * [progress]: [ 281 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (* (cbrt k) (cbrt k)))) (sqrt (cbrt k)))))>
19.773 * * * * [progress]: [ 282 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
19.773 * * * * [progress]: [ 283 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1)) (sqrt k))))>
19.774 * * * * [progress]: [ 284 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k)))))>
19.774 * * * * [progress]: [ 285 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) 1) (sqrt k))))>
19.774 * * * * [progress]: [ 286 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 287 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 288 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 289 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (* (cbrt PI) (cbrt PI)) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (pow (cbrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 290 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 291 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow 1 (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 292 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (* (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 293 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 294 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow 1 (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.774 * * * * [progress]: [ 295 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (sqrt k) (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.775 * * * * [progress]: [ 296 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (* (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (/ (sqrt k) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))))>
19.775 * * * * [progress]: [ 297 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (/ (sqrt k) (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))))))>
19.775 * * * * [progress]: [ 298 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ 1 (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))))>
19.775 * * * * [progress]: [ 299 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)) (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2))))))>
19.775 * * * * [progress]: [ 300 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1/2)) (* (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (/ k 2)))))))>
19.775 * * * * [progress]: [ 301 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (posit16->real (real->posit16 (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))))>
19.775 * * * * [progress]: [ 302 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (log (* (exp (sqrt 1/2)) (exp (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.775 * * * * [progress]: [ 303 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (pow (+ (sqrt 1/2) (sqrt (/ k 2))) 1)) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.775 * * * * [progress]: [ 304 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (exp (log (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.775 * * * * [progress]: [ 305 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (log (exp (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.775 * * * * [progress]: [ 306 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (* (* (cbrt (+ (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (+ (sqrt 1/2) (sqrt (/ k 2))))) (cbrt (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.775 * * * * [progress]: [ 307 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (cbrt (* (* (+ (sqrt 1/2) (sqrt (/ k 2))) (+ (sqrt 1/2) (sqrt (/ k 2)))) (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.775 * * * * [progress]: [ 308 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (* (sqrt (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 309 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (+ (pow (sqrt 1/2) 3) (pow (sqrt (/ k 2)) 3)) (+ (* (sqrt 1/2) (sqrt 1/2)) (- (* (sqrt (/ k 2)) (sqrt (/ k 2))) (* (sqrt 1/2) (sqrt (/ k 2))))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 310 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (* 1 (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 311 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (/ (- (* (sqrt 1/2) (sqrt 1/2)) (* (sqrt (/ k 2)) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 312 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (* (sqrt 1) (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 313 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (* 1 (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 314 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (posit16->real (real->posit16 (+ (sqrt 1/2) (sqrt (/ k 2)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 315 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 316 / 327 ] simplifiying candidate #<alt (λ (k n) (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 317 / 327 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 318 / 327 ] simplifiying candidate #<alt (λ (k n) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (/ (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.776 * * * * [progress]: [ 319 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) k))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k)))) (- (+ (* +nan.0 (* (pow (sqrt 1/2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2))))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) (pow k 2)))))))))))))))))))))))))))))))))))>
19.777 * * * * [progress]: [ 320 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (log PI) (* (pow (sqrt 1/2) 2) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (pow k 3)))))))))))))))))>
19.777 * * * * [progress]: [ 321 / 327 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow (sqrt 1/2) 2)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (pow k 2)))))))))))))))))))))))>
19.777 * * * * [progress]: [ 322 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) k)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k)) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (pow k 2))))))))))))))))))))>
19.777 * * * * [progress]: [ 323 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (/ (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))) k)) (- (* +nan.0 (/ (* (log PI) (* (pow (sqrt 1/2) 2) (exp (- (* +nan.0 (* (log PI) (pow (sqrt 1/2) 2))))))) (pow k 3))))))))))))))))))>
19.777 * * * * [progress]: [ 324 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) k)) (- (+ (* +nan.0 (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2))) (pow k 2))))))))))))))))))))))))>
19.778 * * * * [progress]: [ 325 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (- (sqrt 1/2) (+ (* +nan.0 (* (sqrt 1/2) k)) (- (* +nan.0 (* (sqrt 1/2) (pow k 2))))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.778 * * * * [progress]: [ 326 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (- (+ (* +nan.0 (/ (sqrt 1/2) k)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow k 2))) (- (* +nan.0 (sqrt 1/2)))))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.778 * * * * [progress]: [ 327 / 327 ] simplifiying candidate #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (/ (pow (pow PI (- (sqrt 1/2) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k))))>
19.788 * [simplify]: Simplifying:
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  (/ (sqrt k) (pow (pow (sqrt PI) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (cbrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (sqrt (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (/ (+ (sqrt 1/2) (sqrt (/ k 2))) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (cbrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)))
  (* (sqrt k) (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (/ k 2))))
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  (* (cbrt (+ (sqrt 1/2) (sqrt (/ k 2)))) (cbrt (+ (sqrt 1/2) (sqrt (/ k 2)))))
  (cbrt (+ (sqrt 1/2) (sqrt (/ k 2))))
  (* (* (+ (sqrt 1/2) (sqrt (/ k 2))) (+ (sqrt 1/2) (sqrt (/ k 2)))) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (sqrt (+ (sqrt 1/2) (sqrt (/ k 2))))
  (sqrt (+ (sqrt 1/2) (sqrt (/ k 2))))
  (+ (pow (sqrt 1/2) 3) (pow (sqrt (/ k 2)) 3))
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  (- (* (sqrt 1/2) (sqrt 1/2)) (* (sqrt (/ k 2)) (sqrt (/ k 2))))
  (- (sqrt 1/2) (sqrt (/ k 2)))
  (+ (sqrt 1/2) (sqrt (/ k 2)))
  (+ (sqrt 1/2) (sqrt (/ k 2)))
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  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (* +nan.0 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (exp (* (log PI) (pow (sqrt 1/2) 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) k)))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) k))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) (pow k 2)))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (pow k 2)))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k)))) (- (+ (* +nan.0 (* (pow (sqrt 1/2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2))))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log n) 2) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k))) (- (+ (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2)))) (- (* +nan.0 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log n) (pow k 2))))))))))))))))))))))))))))))))))
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  (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) (pow k 2))) (- (+ (* +nan.0 (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt 1/2)))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow (sqrt 1/2) 2)))) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (pow k 2))))))))))))))))))))))
  (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 3) (pow k 2))))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) k)))) (- (+ (* +nan.0 (exp (* (log PI) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) k)) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (pow k 2))) (- (+ (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (log PI) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (* +nan.0 (* (exp (* (log PI) (pow (sqrt 1/2) 2))) (* (pow (log PI) 2) (* (pow (sqrt 1/2) 4) (pow k 2))))))))))))))))))
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  (- (+ (* +nan.0 (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow (log PI) 2)) (pow k 2))) (- (+ (* +nan.0 (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) k)) (- (+ (* +nan.0 (/ (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (pow (sqrt 1/2) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (log PI) (sqrt 1/2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (log PI)) (pow k 2))) (- (* +nan.0 (/ (* (exp (- (* (log PI) (pow (sqrt 1/2) 2)) (+ (* +nan.0 (log PI)) (- (* +nan.0 (* (log PI) (sqrt 1/2))))))) (* (pow (log PI) 2) (sqrt 1/2))) (pow k 2))))))))))))))))))))))
  (- (sqrt 1/2) (+ (* +nan.0 (* (sqrt 1/2) k)) (- (* +nan.0 (* (sqrt 1/2) (pow k 2))))))
  (- (+ (* +nan.0 (/ (sqrt 1/2) k)) (- (+ (* +nan.0 (/ (sqrt 1/2) (pow k 2))) (- (* +nan.0 (sqrt 1/2)))))))
  (- (sqrt 1/2) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))
19.810 * * [simplify]: iteration 0: 725 enodes
20.067 * * [simplify]: iteration 1: 2000 enodes
20.572 * * [simplify]: iteration complete: 2000 enodes
20.572 * * [simplify]: Extracting #0: cost 256 inf + 0
20.573 * * [simplify]: Extracting #1: cost 501 inf + 1
20.574 * * [simplify]: Extracting #2: cost 605 inf + 239
20.576 * * [simplify]: Extracting #3: cost 652 inf + 3354
20.580 * * [simplify]: Extracting #4: cost 644 inf + 20134
20.587 * * [simplify]: Extracting #5: cost 592 inf + 58821
20.610 * * [simplify]: Extracting #6: cost 445 inf + 187054
20.681 * * [simplify]: Extracting #7: cost 254 inf + 381618
20.763 * * [simplify]: Extracting #8: cost 222 inf + 428423
20.858 * * [simplify]: Extracting #9: cost 192 inf + 467080
20.959 * * [simplify]: Extracting #10: cost 173 inf + 499032
21.044 * * [simplify]: Extracting #11: cost 151 inf + 529584
21.169 * * [simplify]: Extracting #12: cost 136 inf + 560863
21.257 * * [simplify]: Extracting #13: cost 119 inf + 593622
21.347 * * [simplify]: Extracting #14: cost 100 inf + 617746
21.499 * * [simplify]: Extracting #15: cost 94 inf + 627105
21.664 * * [simplify]: Extracting #16: cost 73 inf + 653383
21.819 * * [simplify]: Extracting #17: cost 50 inf + 689766
22.008 * * [simplify]: Extracting #18: cost 30 inf + 724911
22.160 * * [simplify]: Extracting #19: cost 23 inf + 736895
22.387 * * [simplify]: Extracting #20: cost 16 inf + 752613
22.579 * * [simplify]: Extracting #21: cost 10 inf + 767695
22.798 * * [simplify]: Extracting #22: cost 7 inf + 775956
23.015 * * [simplify]: Extracting #23: cost 3 inf + 787424
23.260 * * [simplify]: Extracting #24: cost 0 inf + 796605
23.486 * * [simplify]: Extracting #25: cost 0 inf + 796525
23.723 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (* n 2)
  (pow (* n 2) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* n 2) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* n 2)
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (sqrt (* n 2))
  (pow (* n 2) (/ (- k) 2))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* n 2)))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (* (- 1/2 (/ k 2)) (log (* n 2))) (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
  (+ (- (* (- (sqrt 1/2) (sqrt (/ k 2))) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (log PI))) (log (sqrt k))) (* (- 1/2 (/ k 2)) (log (* n 2))))
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  (/ (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt 1))
  (/ (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (sqrt k)))
  (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow (cbrt PI) (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow (sqrt PI) (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (cbrt (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (sqrt (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (/ (+ (sqrt (/ k 2)) (sqrt 1/2)) 2)) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (cbrt (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2))))))
  (/ (sqrt k) (sqrt (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2))))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))))
  (/ (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (/ (- (sqrt 1/2) (sqrt (/ k 2))) 2)))
  (* (sqrt k) (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (sqrt (/ k 2))))
  (real->posit16 (/ (pow (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))
  (exp (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (log (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (exp (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (* (cbrt (+ (sqrt (/ k 2)) (sqrt 1/2))) (cbrt (+ (sqrt (/ k 2)) (sqrt 1/2))))
  (cbrt (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (* (+ (sqrt (/ k 2)) (sqrt 1/2)) (+ (sqrt (/ k 2)) (sqrt 1/2))))
  (sqrt (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (sqrt (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (+ (* (sqrt (/ k 2)) (/ k 2)) (* 1/2 (sqrt 1/2)))
  (- (+ 1/2 (/ k 2)) (* (sqrt (/ k 2)) (sqrt 1/2)))
  (- 1/2 (/ k 2))
  (- (sqrt 1/2) (sqrt (/ k 2)))
  (+ (sqrt (/ k 2)) (sqrt 1/2))
  (+ (sqrt (/ k 2)) (sqrt 1/2))
  (real->posit16 (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (+ (exp (* (log (* n 2)) 1/2)) (- (+ (+ (* 1/8 (* (* (exp (* (log (* n 2)) 1/2)) (* k k)) (* (log 2) (log 2)))) (* (* 1/4 (log 2)) (* (* (exp (* (log (* n 2)) 1/2)) (log n)) (* k k)))) (* (* 1/8 (exp (* (log (* n 2)) 1/2))) (* (* (log n) (log n)) (* k k)))) (* 1/2 (+ (* (* k (log n)) (exp (* (log (* n 2)) 1/2))) (* (* (log 2) (exp (* (log (* n 2)) 1/2))) k)))))
  (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))
  (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))
  (- (- (* (* +nan.0 (* (log 2) (log 2))) (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* k k))) (- (* +nan.0 (* (log 2) (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* k k)))) (- (* +nan.0 (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI))))) (- (* +nan.0 (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* k (log n)))) (- (* +nan.0 (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* (* k k) 1/2) (log PI)))) (- (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* 1/2 k) (log PI))) +nan.0) (- (* (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* k k) (log n))) (log 2)) +nan.0) (- (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* (log PI) (log PI)) (* (* k k) (pow (sqrt 1/2) 4)))) +nan.0) (- (* (* +nan.0 (log 2)) (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) k)) (- (* (* +nan.0 1/2) (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* (* k k) (log n)) (log PI)))) (- (* (* +nan.0 (log 2)) (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* (* k k) 1/2) (log PI)))) (- (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* (log n) (log n)) (* k k))) +nan.0) (- (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) k) +nan.0) (- (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* k k)) +nan.0) (* (* (exp (+ (* (log (* n 2)) 1/2) (* 1/2 (log PI)))) (* (* k k) (log n))) +nan.0))))))))))))))))
  (- (- (* (/ (exp (* (- +nan.0) (* 1/2 (log PI)))) (/ (* (* k k) k) (* (log PI) (* 1/2 (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))))))) +nan.0) (- (* (/ (* (* (exp (* (- +nan.0) (* 1/2 (log PI)))) (* (log PI) (log PI))) (* (pow (sqrt 1/2) 4) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))))) (* (* k k) k)) +nan.0) (- (* +nan.0 (/ (exp (+ (* (- +nan.0) (* 1/2 (log PI))) (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) (* (* k k) k))) (- (* +nan.0 (/ (exp (+ (* (- +nan.0) (* 1/2 (log PI))) (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) (* k k))) (- (* (/ (exp (+ (* (- +nan.0) (* 1/2 (log PI))) (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))) k) +nan.0) (+ (* (- +nan.0) (/ (* (* (exp (* (- +nan.0) (* 1/2 (log PI)))) (* (log PI) (log PI))) (* (* 1/2 (sqrt 1/2)) (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k)))))) (* (* k k) k))) (/ (* +nan.0 (* (* (exp (* (- +nan.0) (* 1/2 (log PI)))) (log PI)) (* 1/2 (exp (* (- (log 2) (- (log n))) (- 1/2 (* 1/2 k))))))) (* k k)))))))))
  (- (- (* (/ (* (* (log PI) (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))))) (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt 1/2))) (* k k)) +nan.0) (- (/ (* +nan.0 (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (log PI)))) k) (- (* +nan.0 (/ (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (/ (* k k) (* (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt 1/2)) (* (log PI) (log PI)))))) (- (* +nan.0 (/ (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (/ (* k k) (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (log PI))))) (- (* +nan.0 (/ (exp (+ (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))) (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))) (* k k))) (- (* (exp (+ (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))) (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))) +nan.0) (- (* +nan.0 (/ (exp (+ (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))) (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))) k)) (- (/ (* +nan.0 (* (* (log PI) (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))))) (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (sqrt 1/2)))) k) (- (/ (* +nan.0 (* (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (log PI) (log PI))) (* 1/2 (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k))))))) (* k k)) (* +nan.0 (/ (* (* (exp (* (- (log -2) (log (/ -1 n))) (- 1/2 (* 1/2 k)))) (* (log PI) (log PI))) (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))))) (* k k)))))))))))))
  (- (- (* (* (* (exp (* 1/2 (log PI))) (* (log PI) (log PI))) (* (* 1/2 (sqrt 1/2)) (* k k))) +nan.0) (- (* +nan.0 (* (* (exp (* 1/2 (log PI))) (log PI)) (* 1/2 k))) (- (* (exp (* 1/2 (log PI))) +nan.0) (- (* (* k (exp (* 1/2 (log PI)))) +nan.0) (- (* +nan.0 (* (* k k) (exp (* 1/2 (log PI))))) (- (* (* (exp (* 1/2 (log PI))) +nan.0) (* (* (* k k) 1/2) (log PI))) (* (* (exp (* 1/2 (log PI))) +nan.0) (* (* (log PI) (log PI)) (* (* k k) (pow (sqrt 1/2) 4)))))))))))
  (- (- (* +nan.0 (/ (* (* (* (log PI) (log PI)) (pow (sqrt 1/2) 4)) (exp (* (- +nan.0) (* 1/2 (log PI))))) (* (* k k) k))) (- (/ (* +nan.0 (* (* 1/2 (exp (* (- +nan.0) (* 1/2 (log PI))))) (log PI))) (* k k)) (- (* +nan.0 (/ (exp (* (- +nan.0) (* 1/2 (log PI)))) (* k k))) (- (* (/ (* (* (* (log PI) (log PI)) (* 1/2 (sqrt 1/2))) (exp (* (- +nan.0) (* 1/2 (log PI))))) (* (* k k) k)) +nan.0) (- (/ (* +nan.0 (exp (* (- +nan.0) (* 1/2 (log PI))))) (* (* k k) k)) (- (/ (* +nan.0 (exp (* (- +nan.0) (* 1/2 (log PI))))) k) (/ (* +nan.0 (* (* 1/2 (exp (* (- +nan.0) (* 1/2 (log PI))))) (log PI))) (* (* k k) k)))))))))
  (- (- (* +nan.0 (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))))) (- (/ (* +nan.0 (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (log PI) (log PI)))) (* k k)) (- (* (/ (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) k) +nan.0) (- (/ (* +nan.0 (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))))) (* k k)) (- (* +nan.0 (/ (* (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (log PI) (log PI))) 1/2) (* k k))) (- (* +nan.0 (/ (* (log PI) (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0))))) k)) (- (/ (* +nan.0 (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (log PI) (sqrt 1/2)))) k) (- (* +nan.0 (/ (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (log PI) (sqrt 1/2))) (* k k))) (- (/ (* +nan.0 (* (log PI) (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))))) (* k k)) (* +nan.0 (/ (* (* (exp (- (* 1/2 (log PI)) (- (* (log PI) +nan.0) (* (* (log PI) (sqrt 1/2)) +nan.0)))) (* (log PI) (log PI))) (sqrt 1/2)) (* k k)))))))))))))
  (- (sqrt 1/2) (- (* (* k (sqrt 1/2)) +nan.0) (* (* (sqrt 1/2) +nan.0) (* k k))))
  (- (- (* +nan.0 (/ (sqrt 1/2) k)) (- (/ (* (sqrt 1/2) +nan.0) (* k k)) (* (sqrt 1/2) +nan.0))))
  (- (sqrt 1/2) (- (* (/ 1 (* k k)) +nan.0) (- (* +nan.0 (/ 1 k)) +nan.0)))
23.810 * * * [progress]: adding candidates to table
26.173 * * [progress]: iteration 4 / 4
26.173 * * * [progress]: picking best candidate
26.224 * * * * [pick]: Picked  #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.224 * * * [progress]: localizing error
26.279 * * * [progress]: generating rewritten candidates
26.279 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1)
26.287 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
26.294 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1)
26.304 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
26.311 * * * [progress]: generating series expansions
26.311 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1)
26.311 * [backup-simplify]: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k)))
26.311 * [approximate]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0
26.311 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k
26.311 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k
26.312 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k
26.312 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.312 * [taylor]: Taking taylor expansion of 1/2 in k
26.312 * [backup-simplify]: Simplify 1/2 into 1/2
26.312 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.312 * [taylor]: Taking taylor expansion of 1/2 in k
26.312 * [backup-simplify]: Simplify 1/2 into 1/2
26.312 * [taylor]: Taking taylor expansion of k in k
26.312 * [backup-simplify]: Simplify 0 into 0
26.312 * [backup-simplify]: Simplify 1 into 1
26.312 * [taylor]: Taking taylor expansion of (log (* 2 n)) in k
26.312 * [taylor]: Taking taylor expansion of (* 2 n) in k
26.312 * [taylor]: Taking taylor expansion of 2 in k
26.312 * [backup-simplify]: Simplify 2 into 2
26.312 * [taylor]: Taking taylor expansion of n in k
26.312 * [backup-simplify]: Simplify n into n
26.312 * [backup-simplify]: Simplify (* 2 n) into (* 2 n)
26.312 * [backup-simplify]: Simplify (log (* 2 n)) into (log (* 2 n))
26.313 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.313 * [backup-simplify]: Simplify (- 0) into 0
26.314 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.314 * [backup-simplify]: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n)))
26.314 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2)
26.314 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
26.314 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
26.314 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
26.314 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
26.314 * [taylor]: Taking taylor expansion of 1/2 in n
26.314 * [backup-simplify]: Simplify 1/2 into 1/2
26.314 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
26.314 * [taylor]: Taking taylor expansion of 1/2 in n
26.314 * [backup-simplify]: Simplify 1/2 into 1/2
26.314 * [taylor]: Taking taylor expansion of k in n
26.314 * [backup-simplify]: Simplify k into k
26.314 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
26.314 * [taylor]: Taking taylor expansion of (* 2 n) in n
26.314 * [taylor]: Taking taylor expansion of 2 in n
26.314 * [backup-simplify]: Simplify 2 into 2
26.314 * [taylor]: Taking taylor expansion of n in n
26.314 * [backup-simplify]: Simplify 0 into 0
26.314 * [backup-simplify]: Simplify 1 into 1
26.315 * [backup-simplify]: Simplify (* 2 0) into 0
26.316 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
26.316 * [backup-simplify]: Simplify (log 2) into (log 2)
26.316 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
26.316 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
26.316 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
26.317 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
26.318 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
26.318 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
26.318 * [taylor]: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n
26.318 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n
26.318 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n
26.318 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
26.318 * [taylor]: Taking taylor expansion of 1/2 in n
26.318 * [backup-simplify]: Simplify 1/2 into 1/2
26.318 * [taylor]: Taking taylor expansion of (* 1/2 k) in n
26.318 * [taylor]: Taking taylor expansion of 1/2 in n
26.318 * [backup-simplify]: Simplify 1/2 into 1/2
26.318 * [taylor]: Taking taylor expansion of k in n
26.318 * [backup-simplify]: Simplify k into k
26.318 * [taylor]: Taking taylor expansion of (log (* 2 n)) in n
26.318 * [taylor]: Taking taylor expansion of (* 2 n) in n
26.318 * [taylor]: Taking taylor expansion of 2 in n
26.318 * [backup-simplify]: Simplify 2 into 2
26.318 * [taylor]: Taking taylor expansion of n in n
26.319 * [backup-simplify]: Simplify 0 into 0
26.319 * [backup-simplify]: Simplify 1 into 1
26.319 * [backup-simplify]: Simplify (* 2 0) into 0
26.320 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2
26.320 * [backup-simplify]: Simplify (log 2) into (log 2)
26.320 * [backup-simplify]: Simplify (* 1/2 k) into (* 1/2 k)
26.320 * [backup-simplify]: Simplify (- (* 1/2 k)) into (- (* 1/2 k))
26.320 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
26.321 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
26.322 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))
26.322 * [backup-simplify]: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))
26.322 * [taylor]: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k
26.322 * [taylor]: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k
26.322 * [taylor]: Taking taylor expansion of (+ (log 2) (log n)) in k
26.322 * [taylor]: Taking taylor expansion of (log 2) in k
26.322 * [taylor]: Taking taylor expansion of 2 in k
26.322 * [backup-simplify]: Simplify 2 into 2
26.323 * [backup-simplify]: Simplify (log 2) into (log 2)
26.323 * [taylor]: Taking taylor expansion of (log n) in k
26.323 * [taylor]: Taking taylor expansion of n in k
26.323 * [backup-simplify]: Simplify n into n
26.323 * [backup-simplify]: Simplify (log n) into (log n)
26.323 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.323 * [taylor]: Taking taylor expansion of 1/2 in k
26.323 * [backup-simplify]: Simplify 1/2 into 1/2
26.323 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.323 * [taylor]: Taking taylor expansion of 1/2 in k
26.323 * [backup-simplify]: Simplify 1/2 into 1/2
26.323 * [taylor]: Taking taylor expansion of k in k
26.323 * [backup-simplify]: Simplify 0 into 0
26.323 * [backup-simplify]: Simplify 1 into 1
26.323 * [backup-simplify]: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n))
26.324 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.324 * [backup-simplify]: Simplify (- 0) into 0
26.325 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.325 * [backup-simplify]: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n)))
26.325 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
26.326 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n))))
26.327 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0
26.328 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
26.329 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 k)) into 0
26.329 * [backup-simplify]: Simplify (- 0) into 0
26.330 * [backup-simplify]: Simplify (+ 0 0) into 0
26.330 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
26.331 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0
26.332 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.332 * [taylor]: Taking taylor expansion of 0 in k
26.332 * [backup-simplify]: Simplify 0 into 0
26.332 * [backup-simplify]: Simplify 0 into 0
26.333 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
26.333 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.334 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
26.336 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
26.336 * [backup-simplify]: Simplify (+ 0 0) into 0
26.337 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n))))
26.339 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
26.340 * [backup-simplify]: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n)))))
26.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
26.343 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
26.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
26.345 * [backup-simplify]: Simplify (- 0) into 0
26.345 * [backup-simplify]: Simplify (+ 0 0) into 0
26.346 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n))
26.347 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0
26.349 * [backup-simplify]: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.349 * [taylor]: Taking taylor expansion of 0 in k
26.349 * [backup-simplify]: Simplify 0 into 0
26.349 * [backup-simplify]: Simplify 0 into 0
26.349 * [backup-simplify]: Simplify 0 into 0
26.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
26.351 * [backup-simplify]: Simplify (- 0) into 0
26.351 * [backup-simplify]: Simplify (+ 0 0) into 0
26.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
26.361 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
26.362 * [backup-simplify]: Simplify (+ 0 0) into 0
26.363 * [backup-simplify]: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0
26.365 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
26.367 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2)))))
26.372 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
26.372 * [backup-simplify]: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
26.372 * [approximate]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
26.372 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k
26.372 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k
26.372 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k
26.372 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.372 * [taylor]: Taking taylor expansion of 1/2 in k
26.372 * [backup-simplify]: Simplify 1/2 into 1/2
26.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.372 * [taylor]: Taking taylor expansion of 1/2 in k
26.372 * [backup-simplify]: Simplify 1/2 into 1/2
26.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.372 * [taylor]: Taking taylor expansion of k in k
26.373 * [backup-simplify]: Simplify 0 into 0
26.373 * [backup-simplify]: Simplify 1 into 1
26.373 * [backup-simplify]: Simplify (/ 1 1) into 1
26.373 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in k
26.373 * [taylor]: Taking taylor expansion of (/ 2 n) in k
26.373 * [taylor]: Taking taylor expansion of 2 in k
26.373 * [backup-simplify]: Simplify 2 into 2
26.373 * [taylor]: Taking taylor expansion of n in k
26.373 * [backup-simplify]: Simplify n into n
26.373 * [backup-simplify]: Simplify (/ 2 n) into (/ 2 n)
26.373 * [backup-simplify]: Simplify (log (/ 2 n)) into (log (/ 2 n))
26.374 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.374 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.374 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.374 * [backup-simplify]: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n)))
26.375 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))
26.375 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
26.375 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
26.375 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
26.375 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
26.375 * [taylor]: Taking taylor expansion of 1/2 in n
26.375 * [backup-simplify]: Simplify 1/2 into 1/2
26.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.375 * [taylor]: Taking taylor expansion of 1/2 in n
26.375 * [backup-simplify]: Simplify 1/2 into 1/2
26.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.375 * [taylor]: Taking taylor expansion of k in n
26.375 * [backup-simplify]: Simplify k into k
26.375 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.375 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
26.375 * [taylor]: Taking taylor expansion of (/ 2 n) in n
26.375 * [taylor]: Taking taylor expansion of 2 in n
26.375 * [backup-simplify]: Simplify 2 into 2
26.375 * [taylor]: Taking taylor expansion of n in n
26.375 * [backup-simplify]: Simplify 0 into 0
26.375 * [backup-simplify]: Simplify 1 into 1
26.375 * [backup-simplify]: Simplify (/ 2 1) into 2
26.376 * [backup-simplify]: Simplify (log 2) into (log 2)
26.376 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.376 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
26.376 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
26.377 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
26.377 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
26.378 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
26.378 * [taylor]: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n
26.378 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n
26.378 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n
26.378 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
26.378 * [taylor]: Taking taylor expansion of 1/2 in n
26.378 * [backup-simplify]: Simplify 1/2 into 1/2
26.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.378 * [taylor]: Taking taylor expansion of 1/2 in n
26.378 * [backup-simplify]: Simplify 1/2 into 1/2
26.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.378 * [taylor]: Taking taylor expansion of k in n
26.378 * [backup-simplify]: Simplify k into k
26.378 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.378 * [taylor]: Taking taylor expansion of (log (/ 2 n)) in n
26.378 * [taylor]: Taking taylor expansion of (/ 2 n) in n
26.378 * [taylor]: Taking taylor expansion of 2 in n
26.378 * [backup-simplify]: Simplify 2 into 2
26.378 * [taylor]: Taking taylor expansion of n in n
26.378 * [backup-simplify]: Simplify 0 into 0
26.378 * [backup-simplify]: Simplify 1 into 1
26.379 * [backup-simplify]: Simplify (/ 2 1) into 2
26.379 * [backup-simplify]: Simplify (log 2) into (log 2)
26.379 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.379 * [backup-simplify]: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
26.379 * [backup-simplify]: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
26.380 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
26.380 * [backup-simplify]: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))
26.381 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
26.381 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k
26.381 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k
26.381 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.381 * [taylor]: Taking taylor expansion of 1/2 in k
26.381 * [backup-simplify]: Simplify 1/2 into 1/2
26.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.381 * [taylor]: Taking taylor expansion of 1/2 in k
26.381 * [backup-simplify]: Simplify 1/2 into 1/2
26.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.381 * [taylor]: Taking taylor expansion of k in k
26.381 * [backup-simplify]: Simplify 0 into 0
26.381 * [backup-simplify]: Simplify 1 into 1
26.382 * [backup-simplify]: Simplify (/ 1 1) into 1
26.382 * [taylor]: Taking taylor expansion of (- (log 2) (log n)) in k
26.382 * [taylor]: Taking taylor expansion of (log 2) in k
26.382 * [taylor]: Taking taylor expansion of 2 in k
26.382 * [backup-simplify]: Simplify 2 into 2
26.382 * [backup-simplify]: Simplify (log 2) into (log 2)
26.382 * [taylor]: Taking taylor expansion of (log n) in k
26.382 * [taylor]: Taking taylor expansion of n in k
26.382 * [backup-simplify]: Simplify n into n
26.382 * [backup-simplify]: Simplify (log n) into (log n)
26.383 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.383 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.383 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.384 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
26.384 * [backup-simplify]: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n))
26.384 * [backup-simplify]: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n)))
26.385 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
26.385 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))
26.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0
26.387 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0
26.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
26.388 * [backup-simplify]: Simplify (- 0) into 0
26.389 * [backup-simplify]: Simplify (+ 0 0) into 0
26.389 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
26.390 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0
26.391 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.391 * [taylor]: Taking taylor expansion of 0 in k
26.391 * [backup-simplify]: Simplify 0 into 0
26.391 * [backup-simplify]: Simplify 0 into 0
26.391 * [backup-simplify]: Simplify 0 into 0
26.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.395 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0
26.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
26.396 * [backup-simplify]: Simplify (- 0) into 0
26.397 * [backup-simplify]: Simplify (+ 0 0) into 0
26.397 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
26.398 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0
26.400 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.400 * [taylor]: Taking taylor expansion of 0 in k
26.400 * [backup-simplify]: Simplify 0 into 0
26.400 * [backup-simplify]: Simplify 0 into 0
26.400 * [backup-simplify]: Simplify 0 into 0
26.400 * [backup-simplify]: Simplify 0 into 0
26.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.406 * [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
26.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
26.408 * [backup-simplify]: Simplify (- 0) into 0
26.408 * [backup-simplify]: Simplify (+ 0 0) into 0
26.409 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n))
26.410 * [backup-simplify]: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0
26.412 * [backup-simplify]: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
26.412 * [taylor]: Taking taylor expansion of 0 in k
26.412 * [backup-simplify]: Simplify 0 into 0
26.412 * [backup-simplify]: Simplify 0 into 0
26.412 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
26.413 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
26.413 * [approximate]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
26.413 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.413 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k
26.413 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k
26.413 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.413 * [taylor]: Taking taylor expansion of 1/2 in k
26.413 * [backup-simplify]: Simplify 1/2 into 1/2
26.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.413 * [taylor]: Taking taylor expansion of k in k
26.413 * [backup-simplify]: Simplify 0 into 0
26.413 * [backup-simplify]: Simplify 1 into 1
26.413 * [backup-simplify]: Simplify (/ 1 1) into 1
26.413 * [taylor]: Taking taylor expansion of 1/2 in k
26.413 * [backup-simplify]: Simplify 1/2 into 1/2
26.413 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in k
26.413 * [taylor]: Taking taylor expansion of (/ -2 n) in k
26.413 * [taylor]: Taking taylor expansion of -2 in k
26.413 * [backup-simplify]: Simplify -2 into -2
26.413 * [taylor]: Taking taylor expansion of n in k
26.413 * [backup-simplify]: Simplify n into n
26.414 * [backup-simplify]: Simplify (/ -2 n) into (/ -2 n)
26.414 * [backup-simplify]: Simplify (log (/ -2 n)) into (log (/ -2 n))
26.414 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.414 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.414 * [backup-simplify]: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n)))
26.415 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))
26.415 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
26.415 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
26.415 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
26.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
26.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.415 * [taylor]: Taking taylor expansion of 1/2 in n
26.415 * [backup-simplify]: Simplify 1/2 into 1/2
26.415 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.415 * [taylor]: Taking taylor expansion of k in n
26.415 * [backup-simplify]: Simplify k into k
26.415 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.415 * [taylor]: Taking taylor expansion of 1/2 in n
26.415 * [backup-simplify]: Simplify 1/2 into 1/2
26.415 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
26.415 * [taylor]: Taking taylor expansion of (/ -2 n) in n
26.415 * [taylor]: Taking taylor expansion of -2 in n
26.415 * [backup-simplify]: Simplify -2 into -2
26.415 * [taylor]: Taking taylor expansion of n in n
26.415 * [backup-simplify]: Simplify 0 into 0
26.415 * [backup-simplify]: Simplify 1 into 1
26.415 * [backup-simplify]: Simplify (/ -2 1) into -2
26.416 * [backup-simplify]: Simplify (log -2) into (log -2)
26.416 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.416 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
26.417 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
26.417 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
26.418 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
26.418 * [taylor]: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n
26.418 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n
26.418 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n
26.418 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
26.418 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in n
26.418 * [taylor]: Taking taylor expansion of 1/2 in n
26.418 * [backup-simplify]: Simplify 1/2 into 1/2
26.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n
26.418 * [taylor]: Taking taylor expansion of k in n
26.418 * [backup-simplify]: Simplify k into k
26.418 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k)
26.418 * [taylor]: Taking taylor expansion of 1/2 in n
26.418 * [backup-simplify]: Simplify 1/2 into 1/2
26.418 * [taylor]: Taking taylor expansion of (log (/ -2 n)) in n
26.418 * [taylor]: Taking taylor expansion of (/ -2 n) in n
26.418 * [taylor]: Taking taylor expansion of -2 in n
26.418 * [backup-simplify]: Simplify -2 into -2
26.418 * [taylor]: Taking taylor expansion of n in n
26.418 * [backup-simplify]: Simplify 0 into 0
26.418 * [backup-simplify]: Simplify 1 into 1
26.419 * [backup-simplify]: Simplify (/ -2 1) into -2
26.419 * [backup-simplify]: Simplify (log -2) into (log -2)
26.419 * [backup-simplify]: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
26.419 * [backup-simplify]: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
26.420 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
26.420 * [backup-simplify]: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))
26.421 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
26.421 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k
26.421 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k
26.421 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.421 * [taylor]: Taking taylor expansion of 1/2 in k
26.421 * [backup-simplify]: Simplify 1/2 into 1/2
26.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.421 * [taylor]: Taking taylor expansion of k in k
26.421 * [backup-simplify]: Simplify 0 into 0
26.421 * [backup-simplify]: Simplify 1 into 1
26.422 * [backup-simplify]: Simplify (/ 1 1) into 1
26.422 * [taylor]: Taking taylor expansion of 1/2 in k
26.422 * [backup-simplify]: Simplify 1/2 into 1/2
26.422 * [taylor]: Taking taylor expansion of (- (log -2) (log n)) in k
26.422 * [taylor]: Taking taylor expansion of (log -2) in k
26.422 * [taylor]: Taking taylor expansion of -2 in k
26.422 * [backup-simplify]: Simplify -2 into -2
26.422 * [backup-simplify]: Simplify (log -2) into (log -2)
26.422 * [taylor]: Taking taylor expansion of (log n) in k
26.422 * [taylor]: Taking taylor expansion of n in k
26.422 * [backup-simplify]: Simplify n into n
26.422 * [backup-simplify]: Simplify (log n) into (log n)
26.423 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.423 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.423 * [backup-simplify]: Simplify (- (log n)) into (- (log n))
26.423 * [backup-simplify]: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n))
26.424 * [backup-simplify]: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n)))
26.424 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
26.425 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))
26.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0
26.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0
26.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
26.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
26.428 * [backup-simplify]: Simplify (+ 0 0) into 0
26.429 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
26.429 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0
26.430 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
26.430 * [taylor]: Taking taylor expansion of 0 in k
26.430 * [backup-simplify]: Simplify 0 into 0
26.430 * [backup-simplify]: Simplify 0 into 0
26.430 * [backup-simplify]: Simplify 0 into 0
26.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.434 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0
26.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
26.435 * [backup-simplify]: Simplify (+ 0 0) into 0
26.436 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
26.437 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0
26.439 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
26.439 * [taylor]: Taking taylor expansion of 0 in k
26.439 * [backup-simplify]: Simplify 0 into 0
26.439 * [backup-simplify]: Simplify 0 into 0
26.439 * [backup-simplify]: Simplify 0 into 0
26.439 * [backup-simplify]: Simplify 0 into 0
26.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.445 * [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
26.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
26.446 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
26.447 * [backup-simplify]: Simplify (+ 0 0) into 0
26.447 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n))
26.449 * [backup-simplify]: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0
26.451 * [backup-simplify]: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
26.451 * [taylor]: Taking taylor expansion of 0 in k
26.451 * [backup-simplify]: Simplify 0 into 0
26.451 * [backup-simplify]: Simplify 0 into 0
26.451 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
26.451 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
26.451 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
26.452 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
26.452 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
26.452 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
26.452 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
26.452 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.452 * [taylor]: Taking taylor expansion of 1/2 in k
26.452 * [backup-simplify]: Simplify 1/2 into 1/2
26.452 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.452 * [taylor]: Taking taylor expansion of 1/2 in k
26.452 * [backup-simplify]: Simplify 1/2 into 1/2
26.452 * [taylor]: Taking taylor expansion of k in k
26.452 * [backup-simplify]: Simplify 0 into 0
26.452 * [backup-simplify]: Simplify 1 into 1
26.452 * [taylor]: Taking taylor expansion of (log PI) in k
26.452 * [taylor]: Taking taylor expansion of PI in k
26.452 * [backup-simplify]: Simplify PI into PI
26.452 * [backup-simplify]: Simplify (log PI) into (log PI)
26.453 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.453 * [backup-simplify]: Simplify (- 0) into 0
26.453 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.454 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.456 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
26.456 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
26.456 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
26.456 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
26.456 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.456 * [taylor]: Taking taylor expansion of 1/2 in k
26.456 * [backup-simplify]: Simplify 1/2 into 1/2
26.456 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.456 * [taylor]: Taking taylor expansion of 1/2 in k
26.456 * [backup-simplify]: Simplify 1/2 into 1/2
26.456 * [taylor]: Taking taylor expansion of k in k
26.456 * [backup-simplify]: Simplify 0 into 0
26.456 * [backup-simplify]: Simplify 1 into 1
26.456 * [taylor]: Taking taylor expansion of (log PI) in k
26.456 * [taylor]: Taking taylor expansion of PI in k
26.456 * [backup-simplify]: Simplify PI into PI
26.457 * [backup-simplify]: Simplify (log PI) into (log PI)
26.457 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.457 * [backup-simplify]: Simplify (- 0) into 0
26.458 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.459 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.460 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
26.461 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
26.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
26.463 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
26.464 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.464 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
26.475 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
26.477 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
26.480 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
26.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
26.481 * [backup-simplify]: Simplify (- 0) into 0
26.482 * [backup-simplify]: Simplify (+ 0 0) into 0
26.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
26.500 * [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)))
26.503 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
26.509 * [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))))
26.509 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.509 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
26.509 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
26.509 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
26.509 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
26.509 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.509 * [taylor]: Taking taylor expansion of 1/2 in k
26.509 * [backup-simplify]: Simplify 1/2 into 1/2
26.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.509 * [taylor]: Taking taylor expansion of 1/2 in k
26.509 * [backup-simplify]: Simplify 1/2 into 1/2
26.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.509 * [taylor]: Taking taylor expansion of k in k
26.509 * [backup-simplify]: Simplify 0 into 0
26.509 * [backup-simplify]: Simplify 1 into 1
26.510 * [backup-simplify]: Simplify (/ 1 1) into 1
26.510 * [taylor]: Taking taylor expansion of (log PI) in k
26.510 * [taylor]: Taking taylor expansion of PI in k
26.510 * [backup-simplify]: Simplify PI into PI
26.510 * [backup-simplify]: Simplify (log PI) into (log PI)
26.511 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.511 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.511 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.512 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
26.513 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.513 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
26.513 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
26.513 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
26.513 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.513 * [taylor]: Taking taylor expansion of 1/2 in k
26.513 * [backup-simplify]: Simplify 1/2 into 1/2
26.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.513 * [taylor]: Taking taylor expansion of 1/2 in k
26.513 * [backup-simplify]: Simplify 1/2 into 1/2
26.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.513 * [taylor]: Taking taylor expansion of k in k
26.513 * [backup-simplify]: Simplify 0 into 0
26.513 * [backup-simplify]: Simplify 1 into 1
26.513 * [backup-simplify]: Simplify (/ 1 1) into 1
26.513 * [taylor]: Taking taylor expansion of (log PI) in k
26.513 * [taylor]: Taking taylor expansion of PI in k
26.513 * [backup-simplify]: Simplify PI into PI
26.514 * [backup-simplify]: Simplify (log PI) into (log PI)
26.514 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.515 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.515 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.516 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
26.516 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.517 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
26.517 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.517 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
26.517 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.517 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
26.517 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
26.517 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.517 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.517 * [taylor]: Taking taylor expansion of 1/2 in k
26.517 * [backup-simplify]: Simplify 1/2 into 1/2
26.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.517 * [taylor]: Taking taylor expansion of k in k
26.517 * [backup-simplify]: Simplify 0 into 0
26.517 * [backup-simplify]: Simplify 1 into 1
26.518 * [backup-simplify]: Simplify (/ 1 1) into 1
26.518 * [taylor]: Taking taylor expansion of 1/2 in k
26.518 * [backup-simplify]: Simplify 1/2 into 1/2
26.518 * [taylor]: Taking taylor expansion of (log PI) in k
26.518 * [taylor]: Taking taylor expansion of PI in k
26.518 * [backup-simplify]: Simplify PI into PI
26.519 * [backup-simplify]: Simplify (log PI) into (log PI)
26.519 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.519 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.520 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.521 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.521 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.521 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
26.521 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
26.521 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.521 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.521 * [taylor]: Taking taylor expansion of 1/2 in k
26.521 * [backup-simplify]: Simplify 1/2 into 1/2
26.521 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.521 * [taylor]: Taking taylor expansion of k in k
26.521 * [backup-simplify]: Simplify 0 into 0
26.521 * [backup-simplify]: Simplify 1 into 1
26.521 * [backup-simplify]: Simplify (/ 1 1) into 1
26.521 * [taylor]: Taking taylor expansion of 1/2 in k
26.521 * [backup-simplify]: Simplify 1/2 into 1/2
26.521 * [taylor]: Taking taylor expansion of (log PI) in k
26.521 * [taylor]: Taking taylor expansion of PI in k
26.521 * [backup-simplify]: Simplify PI into PI
26.522 * [backup-simplify]: Simplify (log PI) into (log PI)
26.522 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.523 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.524 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.524 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.524 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.524 * [backup-simplify]: Simplify 0 into 0
26.524 * [backup-simplify]: Simplify 0 into 0
26.524 * [backup-simplify]: Simplify 0 into 0
26.524 * [backup-simplify]: Simplify 0 into 0
26.524 * [backup-simplify]: Simplify 0 into 0
26.524 * [backup-simplify]: Simplify 0 into 0
26.525 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
26.525 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1)
26.525 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k)))
26.525 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0
26.525 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
26.525 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
26.525 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
26.525 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.525 * [taylor]: Taking taylor expansion of 1/2 in k
26.525 * [backup-simplify]: Simplify 1/2 into 1/2
26.525 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.525 * [taylor]: Taking taylor expansion of 1/2 in k
26.525 * [backup-simplify]: Simplify 1/2 into 1/2
26.525 * [taylor]: Taking taylor expansion of k in k
26.525 * [backup-simplify]: Simplify 0 into 0
26.525 * [backup-simplify]: Simplify 1 into 1
26.525 * [taylor]: Taking taylor expansion of (log PI) in k
26.525 * [taylor]: Taking taylor expansion of PI in k
26.525 * [backup-simplify]: Simplify PI into PI
26.526 * [backup-simplify]: Simplify (log PI) into (log PI)
26.526 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.526 * [backup-simplify]: Simplify (- 0) into 0
26.527 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.528 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.529 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
26.529 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
26.529 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
26.529 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
26.529 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.529 * [taylor]: Taking taylor expansion of 1/2 in k
26.529 * [backup-simplify]: Simplify 1/2 into 1/2
26.529 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.529 * [taylor]: Taking taylor expansion of 1/2 in k
26.529 * [backup-simplify]: Simplify 1/2 into 1/2
26.529 * [taylor]: Taking taylor expansion of k in k
26.529 * [backup-simplify]: Simplify 0 into 0
26.529 * [backup-simplify]: Simplify 1 into 1
26.529 * [taylor]: Taking taylor expansion of (log PI) in k
26.529 * [taylor]: Taking taylor expansion of PI in k
26.529 * [backup-simplify]: Simplify PI into PI
26.530 * [backup-simplify]: Simplify (log PI) into (log PI)
26.530 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.530 * [backup-simplify]: Simplify (- 0) into 0
26.531 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.532 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.533 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
26.534 * [backup-simplify]: Simplify (pow PI 1/2) into (pow PI 1/2)
26.535 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
26.536 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
26.536 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.536 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
26.548 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
26.550 * [backup-simplify]: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI)))
26.553 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
26.554 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
26.554 * [backup-simplify]: Simplify (- 0) into 0
26.555 * [backup-simplify]: Simplify (+ 0 0) into 0
26.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
26.567 * [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)))
26.570 * [backup-simplify]: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI)))
26.576 * [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))))
26.576 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.576 * [approximate]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0
26.576 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
26.576 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
26.576 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
26.576 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.576 * [taylor]: Taking taylor expansion of 1/2 in k
26.576 * [backup-simplify]: Simplify 1/2 into 1/2
26.576 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.576 * [taylor]: Taking taylor expansion of 1/2 in k
26.576 * [backup-simplify]: Simplify 1/2 into 1/2
26.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.576 * [taylor]: Taking taylor expansion of k in k
26.576 * [backup-simplify]: Simplify 0 into 0
26.576 * [backup-simplify]: Simplify 1 into 1
26.577 * [backup-simplify]: Simplify (/ 1 1) into 1
26.577 * [taylor]: Taking taylor expansion of (log PI) in k
26.577 * [taylor]: Taking taylor expansion of PI in k
26.577 * [backup-simplify]: Simplify PI into PI
26.577 * [backup-simplify]: Simplify (log PI) into (log PI)
26.578 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.578 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.580 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.581 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
26.581 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.581 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
26.581 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
26.581 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
26.581 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.581 * [taylor]: Taking taylor expansion of 1/2 in k
26.581 * [backup-simplify]: Simplify 1/2 into 1/2
26.581 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.581 * [taylor]: Taking taylor expansion of 1/2 in k
26.581 * [backup-simplify]: Simplify 1/2 into 1/2
26.581 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.581 * [taylor]: Taking taylor expansion of k in k
26.582 * [backup-simplify]: Simplify 0 into 0
26.582 * [backup-simplify]: Simplify 1 into 1
26.582 * [backup-simplify]: Simplify (/ 1 1) into 1
26.582 * [taylor]: Taking taylor expansion of (log PI) in k
26.582 * [taylor]: Taking taylor expansion of PI in k
26.582 * [backup-simplify]: Simplify PI into PI
26.582 * [backup-simplify]: Simplify (log PI) into (log PI)
26.583 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.583 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.584 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.585 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
26.585 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.585 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.585 * [backup-simplify]: Simplify 0 into 0
26.585 * [backup-simplify]: Simplify 0 into 0
26.585 * [backup-simplify]: Simplify 0 into 0
26.585 * [backup-simplify]: Simplify 0 into 0
26.585 * [backup-simplify]: Simplify 0 into 0
26.585 * [backup-simplify]: Simplify 0 into 0
26.586 * [backup-simplify]: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k)))
26.586 * [backup-simplify]: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.586 * [approximate]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0
26.586 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.586 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
26.586 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
26.586 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.586 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.586 * [taylor]: Taking taylor expansion of 1/2 in k
26.586 * [backup-simplify]: Simplify 1/2 into 1/2
26.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.586 * [taylor]: Taking taylor expansion of k in k
26.586 * [backup-simplify]: Simplify 0 into 0
26.586 * [backup-simplify]: Simplify 1 into 1
26.586 * [backup-simplify]: Simplify (/ 1 1) into 1
26.586 * [taylor]: Taking taylor expansion of 1/2 in k
26.586 * [backup-simplify]: Simplify 1/2 into 1/2
26.586 * [taylor]: Taking taylor expansion of (log PI) in k
26.586 * [taylor]: Taking taylor expansion of PI in k
26.586 * [backup-simplify]: Simplify PI into PI
26.587 * [backup-simplify]: Simplify (log PI) into (log PI)
26.587 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.588 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.589 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.589 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.589 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.589 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
26.589 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
26.589 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.589 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.589 * [taylor]: Taking taylor expansion of 1/2 in k
26.589 * [backup-simplify]: Simplify 1/2 into 1/2
26.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.589 * [taylor]: Taking taylor expansion of k in k
26.589 * [backup-simplify]: Simplify 0 into 0
26.589 * [backup-simplify]: Simplify 1 into 1
26.590 * [backup-simplify]: Simplify (/ 1 1) into 1
26.590 * [taylor]: Taking taylor expansion of 1/2 in k
26.590 * [backup-simplify]: Simplify 1/2 into 1/2
26.590 * [taylor]: Taking taylor expansion of (log PI) in k
26.590 * [taylor]: Taking taylor expansion of PI in k
26.590 * [backup-simplify]: Simplify PI into PI
26.590 * [backup-simplify]: Simplify (log PI) into (log PI)
26.591 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.591 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.592 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.592 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.592 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k)))
26.593 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
26.593 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (/ k 2)))) into (sqrt (pow PI (- 1/2 (* 1/2 k))))
26.593 * [approximate]: Taking taylor expansion of (sqrt (pow PI (- 1/2 (* 1/2 k)))) in (k) around 0
26.593 * [taylor]: Taking taylor expansion of (sqrt (pow PI (- 1/2 (* 1/2 k)))) in k
26.593 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
26.593 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
26.593 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
26.593 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.593 * [taylor]: Taking taylor expansion of 1/2 in k
26.593 * [backup-simplify]: Simplify 1/2 into 1/2
26.593 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.593 * [taylor]: Taking taylor expansion of 1/2 in k
26.593 * [backup-simplify]: Simplify 1/2 into 1/2
26.593 * [taylor]: Taking taylor expansion of k in k
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 1 into 1
26.593 * [taylor]: Taking taylor expansion of (log PI) in k
26.593 * [taylor]: Taking taylor expansion of PI in k
26.593 * [backup-simplify]: Simplify PI into PI
26.594 * [backup-simplify]: Simplify (log PI) into (log PI)
26.594 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.595 * [backup-simplify]: Simplify (- 0) into 0
26.595 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.596 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.597 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
26.598 * [backup-simplify]: Simplify (sqrt (pow PI 1/2)) into (pow PI 1/4)
26.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
26.600 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
26.600 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.601 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
26.612 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
26.617 * [backup-simplify]: Simplify (/ (* -1/2 (* (log PI) (sqrt PI))) (* 2 (sqrt (pow PI 1/2)))) into (* -1/4 (* (log PI) (pow PI 1/4)))
26.617 * [taylor]: Taking taylor expansion of (sqrt (pow PI (- 1/2 (* 1/2 k)))) in k
26.617 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k
26.617 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k
26.617 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k
26.617 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
26.617 * [taylor]: Taking taylor expansion of 1/2 in k
26.617 * [backup-simplify]: Simplify 1/2 into 1/2
26.617 * [taylor]: Taking taylor expansion of (* 1/2 k) in k
26.617 * [taylor]: Taking taylor expansion of 1/2 in k
26.617 * [backup-simplify]: Simplify 1/2 into 1/2
26.617 * [taylor]: Taking taylor expansion of k in k
26.617 * [backup-simplify]: Simplify 0 into 0
26.617 * [backup-simplify]: Simplify 1 into 1
26.617 * [taylor]: Taking taylor expansion of (log PI) in k
26.617 * [taylor]: Taking taylor expansion of PI in k
26.617 * [backup-simplify]: Simplify PI into PI
26.617 * [backup-simplify]: Simplify (log PI) into (log PI)
26.618 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.618 * [backup-simplify]: Simplify (- 0) into 0
26.619 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.620 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.621 * [backup-simplify]: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2)
26.622 * [backup-simplify]: Simplify (sqrt (pow PI 1/2)) into (pow PI 1/4)
26.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0
26.624 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
26.624 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.625 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI)))
26.642 * [backup-simplify]: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI)))
26.647 * [backup-simplify]: Simplify (/ (* -1/2 (* (log PI) (sqrt PI))) (* 2 (sqrt (pow PI 1/2)))) into (* -1/4 (* (log PI) (pow PI 1/4)))
26.648 * [backup-simplify]: Simplify (pow PI 1/4) into (pow PI 1/4)
26.649 * [backup-simplify]: Simplify (* -1/4 (* (log PI) (pow PI 1/4))) into (* -1/4 (* (log PI) (pow PI 1/4)))
26.651 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0
26.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
26.652 * [backup-simplify]: Simplify (- 0) into 0
26.652 * [backup-simplify]: Simplify (+ 0 0) into 0
26.653 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0
26.660 * [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)))
26.668 * [backup-simplify]: Simplify (/ (- (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow (* -1/4 (* (log PI) (pow PI 1/4))) 2) (+)) (* 2 (pow PI 1/4))) into (* 1/32 (* (pow (log PI) 2) (pow PI 1/4)))
26.670 * [backup-simplify]: Simplify (* 1/32 (* (pow (log PI) 2) (pow PI 1/4))) into (* 1/32 (* (pow (log PI) 2) (pow PI 1/4)))
26.675 * [backup-simplify]: Simplify (+ (* (* 1/32 (* (pow (log PI) 2) (pow PI 1/4))) (pow k 2)) (+ (* (* -1/4 (* (log PI) (pow PI 1/4))) k) (pow PI 1/4))) into (- (+ (pow PI 1/4) (* 1/32 (* (* (pow (log PI) 2) (pow k 2)) (pow PI 1/4)))) (* 1/4 (* (* (log PI) k) (pow PI 1/4))))
26.675 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (/ (/ 1 k) 2)))) into (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
26.675 * [approximate]: Taking taylor expansion of (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in (k) around 0
26.675 * [taylor]: Taking taylor expansion of (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
26.675 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
26.675 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
26.675 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
26.675 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.675 * [taylor]: Taking taylor expansion of 1/2 in k
26.675 * [backup-simplify]: Simplify 1/2 into 1/2
26.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.675 * [taylor]: Taking taylor expansion of 1/2 in k
26.675 * [backup-simplify]: Simplify 1/2 into 1/2
26.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.675 * [taylor]: Taking taylor expansion of k in k
26.675 * [backup-simplify]: Simplify 0 into 0
26.675 * [backup-simplify]: Simplify 1 into 1
26.675 * [backup-simplify]: Simplify (/ 1 1) into 1
26.675 * [taylor]: Taking taylor expansion of (log PI) in k
26.676 * [taylor]: Taking taylor expansion of PI in k
26.676 * [backup-simplify]: Simplify PI into PI
26.676 * [backup-simplify]: Simplify (log PI) into (log PI)
26.676 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.677 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.677 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.678 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
26.679 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.679 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
26.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.679 * [taylor]: Taking taylor expansion of (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k
26.679 * [taylor]: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k
26.679 * [taylor]: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k
26.679 * [taylor]: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k
26.679 * [taylor]: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
26.680 * [taylor]: Taking taylor expansion of 1/2 in k
26.680 * [backup-simplify]: Simplify 1/2 into 1/2
26.680 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.680 * [taylor]: Taking taylor expansion of 1/2 in k
26.680 * [backup-simplify]: Simplify 1/2 into 1/2
26.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.680 * [taylor]: Taking taylor expansion of k in k
26.680 * [backup-simplify]: Simplify 0 into 0
26.680 * [backup-simplify]: Simplify 1 into 1
26.680 * [backup-simplify]: Simplify (/ 1 1) into 1
26.680 * [taylor]: Taking taylor expansion of (log PI) in k
26.680 * [taylor]: Taking taylor expansion of PI in k
26.680 * [backup-simplify]: Simplify PI into PI
26.681 * [backup-simplify]: Simplify (log PI) into (log PI)
26.681 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.681 * [backup-simplify]: Simplify (- 1/2) into -1/2
26.682 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2
26.683 * [backup-simplify]: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI))
26.684 * [backup-simplify]: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k))))
26.684 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
26.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.684 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k)))))
26.684 * [backup-simplify]: Simplify 0 into 0
26.685 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.685 * [backup-simplify]: Simplify 0 into 0
26.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.686 * [backup-simplify]: Simplify 0 into 0
26.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.687 * [backup-simplify]: Simplify 0 into 0
26.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.688 * [backup-simplify]: Simplify 0 into 0
26.690 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0
26.690 * [backup-simplify]: Simplify 0 into 0
26.690 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k)))))) into (sqrt (pow PI (- 1/2 (* 1/2 k))))
26.690 * [backup-simplify]: Simplify (sqrt (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) into (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
26.690 * [approximate]: Taking taylor expansion of (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in (k) around 0
26.690 * [taylor]: Taking taylor expansion of (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
26.690 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.690 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
26.690 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
26.690 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.690 * [taylor]: Taking taylor expansion of 1/2 in k
26.690 * [backup-simplify]: Simplify 1/2 into 1/2
26.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.690 * [taylor]: Taking taylor expansion of k in k
26.691 * [backup-simplify]: Simplify 0 into 0
26.691 * [backup-simplify]: Simplify 1 into 1
26.691 * [backup-simplify]: Simplify (/ 1 1) into 1
26.691 * [taylor]: Taking taylor expansion of 1/2 in k
26.691 * [backup-simplify]: Simplify 1/2 into 1/2
26.691 * [taylor]: Taking taylor expansion of (log PI) in k
26.691 * [taylor]: Taking taylor expansion of PI in k
26.691 * [backup-simplify]: Simplify PI into PI
26.692 * [backup-simplify]: Simplify (log PI) into (log PI)
26.692 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.692 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.694 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.694 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.694 * [backup-simplify]: Simplify (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
26.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.694 * [taylor]: Taking taylor expansion of (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k
26.694 * [taylor]: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k
26.695 * [taylor]: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k
26.695 * [taylor]: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k
26.695 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
26.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 k)) in k
26.695 * [taylor]: Taking taylor expansion of 1/2 in k
26.695 * [backup-simplify]: Simplify 1/2 into 1/2
26.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k
26.695 * [taylor]: Taking taylor expansion of k in k
26.695 * [backup-simplify]: Simplify 0 into 0
26.695 * [backup-simplify]: Simplify 1 into 1
26.695 * [backup-simplify]: Simplify (/ 1 1) into 1
26.695 * [taylor]: Taking taylor expansion of 1/2 in k
26.695 * [backup-simplify]: Simplify 1/2 into 1/2
26.695 * [taylor]: Taking taylor expansion of (log PI) in k
26.695 * [taylor]: Taking taylor expansion of PI in k
26.695 * [backup-simplify]: Simplify PI into PI
26.696 * [backup-simplify]: Simplify (log PI) into (log PI)
26.696 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
26.697 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
26.698 * [backup-simplify]: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI))
26.698 * [backup-simplify]: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2))
26.699 * [backup-simplify]: Simplify (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
26.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.699 * [backup-simplify]: Simplify (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))
26.699 * [backup-simplify]: Simplify 0 into 0
26.700 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.700 * [backup-simplify]: Simplify 0 into 0
26.701 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.701 * [backup-simplify]: Simplify 0 into 0
26.702 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.702 * [backup-simplify]: Simplify 0 into 0
26.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.703 * [backup-simplify]: Simplify 0 into 0
26.704 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0
26.704 * [backup-simplify]: Simplify 0 into 0
26.704 * [backup-simplify]: Simplify (sqrt (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))) into (sqrt (pow PI (- 1/2 (* 1/2 k))))
26.705 * * * [progress]: simplifying candidates
26.705 * * * * [progress]: [ 1 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 2 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 3 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* (log (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 4 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 5 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (* 1 (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 6 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 7 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 8 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 9 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 10 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.705 * * * * [progress]: [ 11 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 12 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) 1) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 13 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 14 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 15 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 16 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (pow (* n 2) (- 1/2 (/ k 2))) 1) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 17 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (log (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 18 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (log (exp (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 19 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 20 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 21 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 22 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* 1 (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 23 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (* (pow (* n 2) (/ (- 1/2 (/ k 2)) 2)) (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.706 * * * * [progress]: [ 24 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (posit16->real (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.707 * * * * [progress]: [ 25 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 26 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 27 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (* 1 (- 1/2 (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 28 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (/ (pow PI 1/2) (pow PI (/ k 2)))) (sqrt k))))>
26.707 * * * * [progress]: [ 29 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 30 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 31 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt k))))>
26.707 * * * * [progress]: [ 32 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 33 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 34 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI 1) (- 1/2 (/ k 2)))) (sqrt k))))>
26.707 * * * * [progress]: [ 35 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 36 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2))))) (sqrt k))))>
26.707 * * * * [progress]: [ 37 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.708 * * * * [progress]: [ 38 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.708 * * * * [progress]: [ 39 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
26.708 * * * * [progress]: [ 40 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow (pow PI (- 1/2 (/ k 2))) 1)) (sqrt k))))>
26.708 * * * * [progress]: [ 41 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (log (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.708 * * * * [progress]: [ 42 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (log (exp (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.708 * * * * [progress]: [ 43 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.708 * * * * [progress]: [ 44 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.708 * * * * [progress]: [ 45 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.708 * * * * [progress]: [ 46 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* 1 (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
26.708 * * * * [progress]: [ 47 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt k))))>
26.708 * * * * [progress]: [ 48 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.708 * * * * [progress]: [ 49 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.708 * * * * [progress]: [ 50 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 51 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (* 1 (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 52 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (/ (pow PI 1/2) (pow PI (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 53 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 54 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 55 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 56 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI (+ (sqrt 1/2) (sqrt (/ k 2)))) (- (sqrt 1/2) (sqrt (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 57 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2)))) (- (sqrt 1/2) (/ (sqrt k) (sqrt 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 58 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI 1) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 59 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 60 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (pow PI 1/2) (pow PI (- (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 61 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))) (pow (cbrt PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 62 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (pow (sqrt PI) (- 1/2 (/ k 2))) (pow (sqrt PI) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.709 * * * * [progress]: [ 63 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (pow 1 (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 64 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow (pow PI (- 1/2 (/ k 2))) 1))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 65 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (exp (log (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 66 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (log (exp (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 67 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 68 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (cbrt (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 69 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 70 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* 1 (pow PI (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 71 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (* (pow PI (/ (- 1/2 (/ k 2)) 2)) (pow PI (/ (- 1/2 (/ k 2)) 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 72 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (posit16->real (real->posit16 (pow PI (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.710 * * * * [progress]: [ 73 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (pow PI (- 1/2 (/ k 2))) 1/2) (sqrt k))))>
26.710 * * * * [progress]: [ 74 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow (sqrt (pow PI (- 1/2 (/ k 2)))) 1) (sqrt k))))>
26.710 * * * * [progress]: [ 75 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (exp (log (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.710 * * * * [progress]: [ 76 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (log (exp (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.710 * * * * [progress]: [ 77 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.711 * * * * [progress]: [ 78 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.711 * * * * [progress]: [ 79 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- (/ k 2))))) (sqrt k))))>
26.711 * * * * [progress]: [ 80 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (pow PI 1/2)) (sqrt (pow PI (- (/ k 2))))) (sqrt k))))>
26.711 * * * * [progress]: [ 81 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))) (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.711 * * * * [progress]: [ 82 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (pow (sqrt PI) (- 1/2 (/ k 2)))) (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))) (sqrt k))))>
26.711 * * * * [progress]: [ 83 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (pow 1 (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
26.711 * * * * [progress]: [ 84 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.711 * * * * [progress]: [ 85 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.711 * * * * [progress]: [ 86 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt 1) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
26.711 * * * * [progress]: [ 87 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2))) (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))) (sqrt k))))>
26.711 * * * * [progress]: [ 88 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt (pow PI 1/2)) (sqrt (pow PI (/ k 2)))) (sqrt k))))>
26.711 * * * * [progress]: [ 89 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (pow PI (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))>
26.712 * * * * [progress]: [ 90 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* (sqrt (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.712 * * * * [progress]: [ 91 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (pow (sqrt PI) (- 1/2 (/ k 2)))) (sqrt k))))>
26.712 * * * * [progress]: [ 92 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
26.712 * * * * [progress]: [ 93 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (fabs (pow PI (/ (- 1/2 (/ k 2)) 2))) (sqrt k))))>
26.712 * * * * [progress]: [ 94 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (* 1 (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt k))))>
26.712 * * * * [progress]: [ 95 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (posit16->real (real->posit16 (sqrt (pow PI (- 1/2 (/ k 2)))))) (sqrt k))))>
26.712 * * * * [progress]: [ 96 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.712 * * * * [progress]: [ 97 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.712 * * * * [progress]: [ 98 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.712 * * * * [progress]: [ 99 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))) (sqrt k))))>
26.712 * * * * [progress]: [ 100 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
26.712 * * * * [progress]: [ 101 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
26.712 * * * * [progress]: [ 102 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.712 * * * * [progress]: [ 103 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.713 * * * * [progress]: [ 104 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (* 1/2 k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))>
26.713 * * * * [progress]: [ 105 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (- (+ (pow PI 1/4) (* 1/32 (* (* (pow (log PI) 2) (pow k 2)) (pow PI 1/4)))) (* 1/4 (* (* (log PI) k) (pow PI 1/4)))) (sqrt k))))>
26.713 * * * * [progress]: [ 106 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
26.713 * * * * [progress]: [ 107 / 107 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (* 1/2 k)))) (sqrt k))))>
26.715 * [simplify]: Simplifying:
  (* (+ (log n) (log 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* (log (* n 2)) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (/ k 2))
  (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* n 2) (sqrt (- 1/2 (/ k 2))))
  (pow (* n 2) 1)
  (pow (* n 2) (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow (* n 2) (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow (* n 2) 1)
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow (* n 2) 1/2)
  (pow (* n 2) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (log (pow (* n 2) (- 1/2 (/ k 2))))
  (exp (pow (* n 2) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))
  (cbrt (pow (* n 2) (- 1/2 (/ k 2))))
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (sqrt (pow (* n 2) (- 1/2 (/ k 2))))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (pow (* n 2) (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow (* n 2) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (* 1 (- 1/2 (/ k 2)))
  (pow PI 1/2)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  (pow PI 1)
  (pow PI (+ (sqrt 1/2) (sqrt (/ k 2))))
  (pow PI (+ (sqrt 1/2) (/ (sqrt k) (sqrt 2))))
  (pow PI 1)
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow PI 1/2)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow 1 (- 1/2 (/ k 2)))
  (pow PI (- 1/2 (/ k 2)))
  (log (pow PI (- 1/2 (/ k 2))))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (pow PI (/ (- 1/2 (/ k 2)) 2))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (log (sqrt (pow PI (- 1/2 (/ k 2)))))
  (exp (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (pow PI 1/2))
  (sqrt (pow PI (- (/ k 2))))
  (sqrt (pow PI 1/2))
  (sqrt (pow PI (- (/ k 2))))
  (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))
  (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))
  (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))
  (sqrt (pow 1 (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))
  (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt 1)
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow PI (/ (- 1/2 (/ k 2)) 2)))
  (sqrt (pow PI 1/2))
  (sqrt (pow PI (/ k 2)))
  (/ (- 1/2 (/ k 2)) 2)
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (real->posit16 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k)))))
  (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))
  (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n)))))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI))))
  (pow PI (- 1/2 (* 1/2 k)))
  (pow PI (- 1/2 (* 1/2 k)))
  (- (+ (pow PI 1/4) (* 1/32 (* (* (pow (log PI) 2) (pow k 2)) (pow PI 1/4)))) (* 1/4 (* (* (log PI) k) (pow PI 1/4))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
  (sqrt (pow PI (- 1/2 (* 1/2 k))))
26.717 * * [simplify]: iteration 0: 157 enodes
26.801 * * [simplify]: iteration 1: 415 enodes
27.017 * * [simplify]: iteration 2: 1336 enodes
27.376 * * [simplify]: iteration 3: 2007 enodes
27.930 * * [simplify]: iteration complete: 2007 enodes
27.931 * * [simplify]: Extracting #0: cost 65 inf + 0
27.932 * * [simplify]: Extracting #1: cost 275 inf + 43
27.934 * * [simplify]: Extracting #2: cost 540 inf + 922
27.940 * * [simplify]: Extracting #3: cost 717 inf + 9246
27.957 * * [simplify]: Extracting #4: cost 604 inf + 45675
27.982 * * [simplify]: Extracting #5: cost 288 inf + 121150
28.012 * * [simplify]: Extracting #6: cost 61 inf + 198413
28.047 * * [simplify]: Extracting #7: cost 8 inf + 220854
28.103 * * [simplify]: Extracting #8: cost 0 inf + 224642
28.154 * * [simplify]: Extracting #9: cost 0 inf + 224602
28.197 * [simplify]: Simplified to:
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (- 1/2 (/ k 2))
  (- 1/2 (/ k 2))
  (sqrt (* 2 n))
  (pow (* 2 n) (/ k 2))
  (pow (* 2 n) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow (* 2 n) (sqrt (- 1/2 (/ k 2))))
  (* 2 n)
  (pow (* 2 n) (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow (* 2 n) (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  (* 2 n)
  (sqrt (* 2 n))
  (pow (* 2 n) (- (/ k 2)))
  (sqrt (* 2 n))
  (pow (* 2 n) (- (/ k 2)))
  (pow n (- 1/2 (/ k 2)))
  (pow 2 (- 1/2 (/ k 2)))
  (* (- 1/2 (/ k 2)) (log (* 2 n)))
  (exp (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))
  (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (pow (pow (* 2 n) (- 1/2 (/ k 2))) 3)
  (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))
  (pow (* 2 n) (- 1/4 (/ k 4)))
  (pow (* 2 n) (- 1/4 (/ k 4)))
  (real->posit16 (pow (* 2 n) (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ k 4)))
  (pow PI (- 1/4 (/ k 4)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (* (log PI) (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (- 1/2 (/ k 2))
  (sqrt PI)
  (pow PI (/ k 2))
  (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2)))))
  (pow PI (sqrt (- 1/2 (/ k 2))))
  PI
  (pow PI (+ (sqrt (/ k 2)) (sqrt 1/2)))
  (pow PI (+ (/ (sqrt k) (sqrt 2)) (sqrt 1/2)))
  PI
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (sqrt PI)
  (pow PI (- (/ k 2)))
  (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2)))
  (pow (cbrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  (pow (sqrt PI) (- 1/2 (/ k 2)))
  1
  (pow PI (- 1/2 (/ k 2)))
  (* (log PI) (- 1/2 (/ k 2)))
  (exp (pow PI (- 1/2 (/ k 2))))
  (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))
  (cbrt (pow PI (- 1/2 (/ k 2))))
  (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (pow PI (- 1/4 (/ k 4)))
  (pow PI (- 1/4 (/ k 4)))
  (real->posit16 (pow PI (- 1/2 (/ k 2))))
  (log (sqrt (pow PI (- 1/2 (/ k 2)))))
  (exp (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (sqrt (pow PI (- 1/2 (/ k 2))))))
  (cbrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2))))
  (sqrt (sqrt PI))
  (sqrt (pow PI (- (/ k 2))))
  (sqrt (sqrt PI))
  (sqrt (pow PI (- (/ k 2))))
  (sqrt (pow (* (cbrt PI) (cbrt PI)) (- 1/2 (/ k 2))))
  (sqrt (pow (cbrt PI) (- 1/2 (/ k 2))))
  (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))
  (sqrt (pow (sqrt PI) (- 1/2 (/ k 2))))
  1
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (fabs (cbrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (cbrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  1
  (sqrt (pow PI (- 1/2 (/ k 2))))
  (sqrt (pow PI (- 1/4 (/ k 4))))
  (sqrt (pow PI (- 1/4 (/ k 4))))
  (sqrt (sqrt PI))
  (sqrt (pow PI (/ k 2)))
  (- 1/4 (/ k 4))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (sqrt (sqrt (pow PI (- 1/2 (/ k 2)))))
  (real->posit16 (sqrt (pow PI (- 1/2 (/ k 2)))))
  (- (+ (+ (+ (sqrt (* 2 n)) (* (* (* (* (log 2) (log 2)) 1/8) (sqrt (* 2 n))) (* k k))) (* (* (* (log 2) 1/4) (* (* k k) (log n))) (sqrt (* 2 n)))) (* (* (sqrt (* 2 n)) 1/8) (* (* k (log n)) (* k (log n))))) (/ (* k (+ (* (log n) (sqrt (* 2 n))) (* (sqrt (* 2 n)) (log 2)))) 2))
  (exp (* (log (* 2 n)) (+ 1/2 (* k -1/2))))
  (exp (* (- (log -2) (log (/ -1 n))) (+ 1/2 (* k -1/2))))
  (+ (sqrt PI) (* (sqrt PI) (- (* 1/8 (* (* (log PI) k) (* (log PI) k))) (* (* (log PI) k) 1/2))))
  (pow PI (+ 1/2 (* k -1/2)))
  (pow PI (+ 1/2 (* k -1/2)))
  (+ (sqrt PI) (* (sqrt PI) (- (* 1/8 (* (* (log PI) k) (* (log PI) k))) (* (* (log PI) k) 1/2))))
  (pow PI (+ 1/2 (* k -1/2)))
  (pow PI (+ 1/2 (* k -1/2)))
  (+ (* (pow PI 1/4) (- (* (* (* (log PI) k) (* (log PI) k)) 1/32) (* (* 1/4 (log PI)) k))) (pow PI 1/4))
  (sqrt (pow PI (+ 1/2 (* k -1/2))))
  (sqrt (pow PI (+ 1/2 (* k -1/2))))
28.206 * * * [progress]: adding candidates to table
28.932 * [progress]: [Phase 3 of 3] Extracting.
28.932 * * [regime]: Finding splitpoints for: (#<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (sqrt (* n 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>)
28.934 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2 PI) n) n k)
28.934 * * * * [regimes]: Trying to branch on (* (* 2 PI) n) from (#<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (sqrt (* n 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>)
29.027 * * * * [regimes]: Trying to branch on n from (#<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (sqrt (* n 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>)
29.117 * * * * [regimes]: Trying to branch on k from (#<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (sqrt (* n 2))) (* (pow (* n 2) (/ k 2)) (sqrt k))))> #<alt (λ (k n) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))))> #<alt (λ (k n) (* (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) 1) (/ (pow (* (* n 2) PI) (/ (- 1/2 (/ k 2)) 2)) (sqrt k))))> #<alt (λ (k n) (/ (pow (* (* n 2) PI) 1/2) (/ (sqrt k) (pow (* (* n 2) PI) (- (/ k 2))))))> #<alt (λ (k n) (* (pow (* n 2) (- 1/2 (/ k 2))) (* (pow (pow PI (sqrt 1/2)) (- (sqrt 1/2) (sqrt (/ k 2)))) (/ (pow (pow PI (sqrt (/ k 2))) (- (sqrt 1/2) (sqrt (/ k 2)))) (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* 2 PI) n)) (/ (pow (* (* 2 PI) n) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))))>)
29.202 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
29.202 * [simplify]: Simplifying:
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
29.202 * * [simplify]: iteration 0: 15 enodes
29.204 * * [simplify]: iteration 1: 18 enodes
29.205 * * [simplify]: iteration complete: 18 enodes
29.205 * * [simplify]: Extracting #0: cost 1 inf + 0
29.205 * * [simplify]: Extracting #1: cost 3 inf + 0
29.205 * * [simplify]: Extracting #2: cost 6 inf + 0
29.205 * * [simplify]: Extracting #3: cost 10 inf + 0
29.205 * * [simplify]: Extracting #4: cost 13 inf + 42
29.205 * * [simplify]: Extracting #5: cost 8 inf + 88
29.206 * * [simplify]: Extracting #6: cost 4 inf + 841
29.206 * * [simplify]: Extracting #7: cost 1 inf + 2214
29.206 * * [simplify]: Extracting #8: cost 0 inf + 2959
29.207 * [simplify]: Simplified to:
  (* (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)))
38.766 * [regime-testing]: Baseline error score: 0.447534957731026
38.770 * [regime-testing]: Oracle error score: 0.017877234654331792
38.780 * [regime-testing]: End program error score: 0.447534957731026