15.845 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.085 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.090 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.091 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.093 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.095 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.101 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.123 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.123 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.124 * * [progress]: iteration 1 / 4 0.124 * * * [progress]: picking best candidate 0.126 * * * * [pick]: Picked # 0.126 * * * [progress]: localizing error 0.144 * * * [progress]: generating rewritten candidates 0.144 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.154 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.156 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.163 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.187 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.187 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.187 * [taylor]: Taking taylor expansion of 0.5 in k 0.187 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.187 * [taylor]: Taking taylor expansion of 1.0 in k 0.187 * [taylor]: Taking taylor expansion of k in k 0.187 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.187 * [taylor]: Taking taylor expansion of 2.0 in k 0.187 * [taylor]: Taking taylor expansion of (* n PI) in k 0.187 * [taylor]: Taking taylor expansion of n in k 0.187 * [taylor]: Taking taylor expansion of PI in k 0.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.188 * [taylor]: Taking taylor expansion of 0.5 in n 0.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.188 * [taylor]: Taking taylor expansion of 1.0 in n 0.188 * [taylor]: Taking taylor expansion of k in n 0.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.189 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.189 * [taylor]: Taking taylor expansion of 2.0 in n 0.189 * [taylor]: Taking taylor expansion of (* n PI) in n 0.189 * [taylor]: Taking taylor expansion of n in n 0.189 * [taylor]: Taking taylor expansion of PI in n 0.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.194 * [taylor]: Taking taylor expansion of 0.5 in n 0.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.194 * [taylor]: Taking taylor expansion of 1.0 in n 0.194 * [taylor]: Taking taylor expansion of k in n 0.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.194 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.194 * [taylor]: Taking taylor expansion of 2.0 in n 0.194 * [taylor]: Taking taylor expansion of (* n PI) in n 0.194 * [taylor]: Taking taylor expansion of n in n 0.194 * [taylor]: Taking taylor expansion of PI in n 0.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.200 * [taylor]: Taking taylor expansion of 0.5 in k 0.200 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.200 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.200 * [taylor]: Taking taylor expansion of 1.0 in k 0.200 * [taylor]: Taking taylor expansion of k in k 0.200 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.200 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.200 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.200 * [taylor]: Taking taylor expansion of 2.0 in k 0.200 * [taylor]: Taking taylor expansion of PI in k 0.201 * [taylor]: Taking taylor expansion of (log n) in k 0.201 * [taylor]: Taking taylor expansion of n in k 0.210 * [taylor]: Taking taylor expansion of 0 in k 0.231 * [taylor]: Taking taylor expansion of 0 in k 0.250 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.250 * [taylor]: Taking taylor expansion of 0.5 in k 0.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.250 * [taylor]: Taking taylor expansion of 1.0 in k 0.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.250 * [taylor]: Taking taylor expansion of k in k 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.250 * [taylor]: Taking taylor expansion of 2.0 in k 0.250 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.250 * [taylor]: Taking taylor expansion of PI in k 0.250 * [taylor]: Taking taylor expansion of n in k 0.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.252 * [taylor]: Taking taylor expansion of 0.5 in n 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.252 * [taylor]: Taking taylor expansion of k in n 0.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.252 * [taylor]: Taking taylor expansion of 2.0 in n 0.252 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.252 * [taylor]: Taking taylor expansion of PI in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.255 * [taylor]: Taking taylor expansion of 0.5 in n 0.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.255 * [taylor]: Taking taylor expansion of 1.0 in n 0.255 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.255 * [taylor]: Taking taylor expansion of k in n 0.256 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.256 * [taylor]: Taking taylor expansion of 2.0 in n 0.256 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.256 * [taylor]: Taking taylor expansion of PI in n 0.256 * [taylor]: Taking taylor expansion of n in n 0.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.259 * [taylor]: Taking taylor expansion of 0.5 in k 0.259 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.259 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.259 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.259 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.259 * [taylor]: Taking taylor expansion of 2.0 in k 0.259 * [taylor]: Taking taylor expansion of PI in k 0.260 * [taylor]: Taking taylor expansion of (log n) in k 0.260 * [taylor]: Taking taylor expansion of n in k 0.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.260 * [taylor]: Taking taylor expansion of 1.0 in k 0.261 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.261 * [taylor]: Taking taylor expansion of k in k 0.270 * [taylor]: Taking taylor expansion of 0 in k 0.277 * [taylor]: Taking taylor expansion of 0 in k 0.286 * [taylor]: Taking taylor expansion of 0 in k 0.288 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.288 * [taylor]: Taking taylor expansion of -2.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.288 * [taylor]: Taking taylor expansion of PI in k 0.288 * [taylor]: Taking taylor expansion of n in k 0.289 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of -2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.293 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.293 * [taylor]: Taking taylor expansion of 0.5 in n 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.293 * [taylor]: Taking taylor expansion of k in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.293 * [taylor]: Taking taylor expansion of -2.0 in n 0.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.297 * [taylor]: Taking taylor expansion of 0.5 in k 0.297 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.297 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.297 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.297 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.297 * [taylor]: Taking taylor expansion of -2.0 in k 0.297 * [taylor]: Taking taylor expansion of PI in k 0.298 * [taylor]: Taking taylor expansion of (log n) in k 0.298 * [taylor]: Taking taylor expansion of n in k 0.313 * [taylor]: Taking taylor expansion of 0 in k 0.320 * [taylor]: Taking taylor expansion of 0 in k 0.329 * [taylor]: Taking taylor expansion of 0 in k 0.330 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.330 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.330 * [taylor]: Taking taylor expansion of 1.0 in k 0.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.331 * [taylor]: Taking taylor expansion of 1.0 in k 0.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.331 * [taylor]: Taking taylor expansion of k in k 0.342 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.343 * [taylor]: Taking taylor expansion of 1.0 in k 0.343 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.343 * [taylor]: Taking taylor expansion of k in k 0.354 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.354 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.354 * [taylor]: Taking taylor expansion of 1.0 in k 0.354 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.354 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.354 * [taylor]: Taking taylor expansion of -1 in k 0.354 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.355 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.355 * [taylor]: Taking taylor expansion of -1 in k 0.355 * [taylor]: Taking taylor expansion of k in k 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.367 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.367 * [taylor]: Taking taylor expansion of 2.0 in n 0.367 * [taylor]: Taking taylor expansion of (* n PI) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.367 * [taylor]: Taking taylor expansion of PI in n 0.367 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.367 * [taylor]: Taking taylor expansion of 2.0 in n 0.367 * [taylor]: Taking taylor expansion of (* n PI) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.368 * [taylor]: Taking taylor expansion of PI in n 0.380 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.381 * [taylor]: Taking taylor expansion of 2.0 in n 0.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.381 * [taylor]: Taking taylor expansion of PI in n 0.381 * [taylor]: Taking taylor expansion of n in n 0.395 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.395 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.395 * [taylor]: Taking taylor expansion of -2.0 in n 0.395 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.395 * [taylor]: Taking taylor expansion of PI in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.396 * [taylor]: Taking taylor expansion of -2.0 in n 0.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.404 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.405 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.405 * [taylor]: Taking taylor expansion of 1.0 in n 0.405 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.405 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.405 * [taylor]: Taking taylor expansion of k in n 0.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.405 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.405 * [taylor]: Taking taylor expansion of 0.5 in n 0.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.405 * [taylor]: Taking taylor expansion of 1.0 in n 0.405 * [taylor]: Taking taylor expansion of k in n 0.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.405 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.405 * [taylor]: Taking taylor expansion of 2.0 in n 0.405 * [taylor]: Taking taylor expansion of (* n PI) in n 0.405 * [taylor]: Taking taylor expansion of n in n 0.405 * [taylor]: Taking taylor expansion of PI in n 0.411 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.411 * [taylor]: Taking taylor expansion of 1.0 in k 0.411 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.411 * [taylor]: Taking taylor expansion of k in k 0.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.412 * [taylor]: Taking taylor expansion of 0.5 in k 0.412 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.412 * [taylor]: Taking taylor expansion of 1.0 in k 0.412 * [taylor]: Taking taylor expansion of k in k 0.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.412 * [taylor]: Taking taylor expansion of 2.0 in k 0.412 * [taylor]: Taking taylor expansion of (* n PI) in k 0.412 * [taylor]: Taking taylor expansion of n in k 0.412 * [taylor]: Taking taylor expansion of PI in k 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.415 * [taylor]: Taking taylor expansion of 0.5 in k 0.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.415 * [taylor]: Taking taylor expansion of 1.0 in k 0.415 * [taylor]: Taking taylor expansion of k in k 0.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.415 * [taylor]: Taking taylor expansion of 2.0 in k 0.415 * [taylor]: Taking taylor expansion of (* n PI) in k 0.415 * [taylor]: Taking taylor expansion of n in k 0.415 * [taylor]: Taking taylor expansion of PI in k 0.416 * [taylor]: Taking taylor expansion of 0 in n 0.421 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.421 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.421 * [taylor]: Taking taylor expansion of +nan.0 in n 0.421 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.422 * [taylor]: Taking taylor expansion of 0.5 in n 0.422 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.422 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.422 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.422 * [taylor]: Taking taylor expansion of 1.0 in n 0.422 * [taylor]: Taking taylor expansion of (log PI) in n 0.422 * [taylor]: Taking taylor expansion of PI in n 0.423 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log n) in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.424 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.424 * [taylor]: Taking taylor expansion of 2.0 in n 0.443 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.444 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.444 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.444 * [taylor]: Taking taylor expansion of +nan.0 in n 0.444 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.444 * [taylor]: Taking taylor expansion of 0.5 in n 0.444 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.444 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log PI) in n 0.444 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.446 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log n) in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.452 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.452 * [taylor]: Taking taylor expansion of +nan.0 in n 0.452 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.452 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.452 * [taylor]: Taking taylor expansion of 0.5 in n 0.452 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.452 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.452 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.454 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.454 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log PI) in n 0.454 * [taylor]: Taking taylor expansion of PI in n 0.456 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.456 * [taylor]: Taking taylor expansion of 1.0 in n 0.456 * [taylor]: Taking taylor expansion of (log n) in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.460 * [taylor]: Taking taylor expansion of 2.0 in n 0.460 * [taylor]: Taking taylor expansion of (* n PI) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of PI in n 0.515 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.515 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.515 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.515 * [taylor]: Taking taylor expansion of +nan.0 in n 0.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.515 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.517 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log n) in n 0.517 * [taylor]: Taking taylor expansion of n in n 0.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (log PI) in n 0.518 * [taylor]: Taking taylor expansion of PI in n 0.523 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.523 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.523 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.523 * [taylor]: Taking taylor expansion of +nan.0 in n 0.523 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.523 * [taylor]: Taking taylor expansion of 0.5 in n 0.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.524 * [taylor]: Taking taylor expansion of 2.0 in n 0.526 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log PI) in n 0.526 * [taylor]: Taking taylor expansion of PI in n 0.528 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log n) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* n PI) in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.535 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.535 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.535 * [taylor]: Taking taylor expansion of +nan.0 in n 0.535 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.535 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.535 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.535 * [taylor]: Taking taylor expansion of 0.5 in n 0.535 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.535 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.535 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.535 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.535 * [taylor]: Taking taylor expansion of 1.0 in n 0.535 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.537 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log PI) in n 0.537 * [taylor]: Taking taylor expansion of PI in n 0.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log n) in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.543 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.543 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.543 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.543 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (* n PI) in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.543 * [taylor]: Taking taylor expansion of PI in n 0.622 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.622 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.622 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.622 * [taylor]: Taking taylor expansion of 0.5 in n 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.622 * [taylor]: Taking taylor expansion of 2.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.626 * [taylor]: Taking taylor expansion of 1.0 in k 0.626 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.626 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.626 * [taylor]: Taking taylor expansion of k in k 0.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.628 * [taylor]: Taking taylor expansion of 0.5 in k 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.628 * [taylor]: Taking taylor expansion of 1.0 in k 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.628 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.628 * [taylor]: Taking taylor expansion of 2.0 in k 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.628 * [taylor]: Taking taylor expansion of PI in k 0.628 * [taylor]: Taking taylor expansion of n in k 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.629 * [taylor]: Taking taylor expansion of 1.0 in k 0.629 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.629 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.630 * [taylor]: Taking taylor expansion of 0.5 in k 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.631 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.631 * [taylor]: Taking taylor expansion of 2.0 in k 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.631 * [taylor]: Taking taylor expansion of PI in k 0.631 * [taylor]: Taking taylor expansion of n in k 0.632 * [taylor]: Taking taylor expansion of 0 in n 0.633 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.633 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.633 * [taylor]: Taking taylor expansion of +nan.0 in n 0.633 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.633 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.633 * [taylor]: Taking taylor expansion of 0.5 in n 0.633 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.643 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.643 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.643 * [taylor]: Taking taylor expansion of +nan.0 in n 0.643 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.643 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.643 * [taylor]: Taking taylor expansion of 0.5 in n 0.643 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.643 * [taylor]: Taking taylor expansion of 2.0 in n 0.643 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.643 * [taylor]: Taking taylor expansion of PI in n 0.643 * [taylor]: Taking taylor expansion of n in n 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.645 * [taylor]: Taking taylor expansion of 1.0 in n 0.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.645 * [taylor]: Taking taylor expansion of k in n 0.666 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.666 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.666 * [taylor]: Taking taylor expansion of +nan.0 in n 0.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.666 * [taylor]: Taking taylor expansion of 0.5 in n 0.666 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.666 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.666 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.666 * [taylor]: Taking taylor expansion of 2.0 in n 0.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.666 * [taylor]: Taking taylor expansion of PI in n 0.666 * [taylor]: Taking taylor expansion of n in n 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.667 * [taylor]: Taking taylor expansion of 1.0 in n 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.667 * [taylor]: Taking taylor expansion of k in n 0.676 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.676 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.677 * [taylor]: Taking taylor expansion of 1.0 in n 0.677 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.677 * [taylor]: Taking taylor expansion of -2.0 in n 0.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.677 * [taylor]: Taking taylor expansion of PI in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.681 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.681 * [taylor]: Taking taylor expansion of -1 in n 0.681 * [taylor]: Taking taylor expansion of k in n 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.682 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.682 * [taylor]: Taking taylor expansion of 0.5 in k 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.682 * [taylor]: Taking taylor expansion of -2.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.682 * [taylor]: Taking taylor expansion of PI in k 0.682 * [taylor]: Taking taylor expansion of n in k 0.683 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.683 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.683 * [taylor]: Taking taylor expansion of -1 in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.685 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.685 * [taylor]: Taking taylor expansion of 0.5 in k 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.685 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.685 * [taylor]: Taking taylor expansion of -2.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.685 * [taylor]: Taking taylor expansion of PI in k 0.685 * [taylor]: Taking taylor expansion of n in k 0.686 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.686 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.686 * [taylor]: Taking taylor expansion of -1 in k 0.686 * [taylor]: Taking taylor expansion of k in k 0.687 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.688 * [taylor]: Taking taylor expansion of +nan.0 in n 0.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.688 * [taylor]: Taking taylor expansion of 0.5 in n 0.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.688 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.688 * [taylor]: Taking taylor expansion of -2.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.688 * [taylor]: Taking taylor expansion of PI in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.697 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.697 * [taylor]: Taking taylor expansion of +nan.0 in n 0.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of 1.0 in n 0.697 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of -2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.715 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.715 * [taylor]: Taking taylor expansion of +nan.0 in n 0.715 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.715 * [taylor]: Taking taylor expansion of 0.5 in n 0.715 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.715 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.715 * [taylor]: Taking taylor expansion of k in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.715 * [taylor]: Taking taylor expansion of -2.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.724 * * * [progress]: simplifying candidates 0.727 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.821 * * * [progress]: adding candidates to table 1.233 * * [progress]: iteration 2 / 4 1.233 * * * [progress]: picking best candidate 1.261 * * * * [pick]: Picked # 1.261 * * * [progress]: localizing error 1.276 * * * [progress]: generating rewritten candidates 1.277 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.299 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 1.307 * * * [progress]: generating series expansions 1.308 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.308 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.308 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.308 * [taylor]: Taking taylor expansion of 0.5 in k 1.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.308 * [taylor]: Taking taylor expansion of 1.0 in k 1.308 * [taylor]: Taking taylor expansion of k in k 1.308 * [taylor]: Taking taylor expansion of (log n) in k 1.308 * [taylor]: Taking taylor expansion of n in k 1.309 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.309 * [taylor]: Taking taylor expansion of 0.5 in n 1.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.309 * [taylor]: Taking taylor expansion of 1.0 in n 1.309 * [taylor]: Taking taylor expansion of k in n 1.309 * [taylor]: Taking taylor expansion of (log n) in n 1.309 * [taylor]: Taking taylor expansion of n in n 1.310 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.310 * [taylor]: Taking taylor expansion of 0.5 in n 1.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.310 * [taylor]: Taking taylor expansion of 1.0 in n 1.310 * [taylor]: Taking taylor expansion of k in n 1.310 * [taylor]: Taking taylor expansion of (log n) in n 1.310 * [taylor]: Taking taylor expansion of n in n 1.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.311 * [taylor]: Taking taylor expansion of 0.5 in k 1.311 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.311 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.311 * [taylor]: Taking taylor expansion of 1.0 in k 1.311 * [taylor]: Taking taylor expansion of k in k 1.311 * [taylor]: Taking taylor expansion of (log n) in k 1.311 * [taylor]: Taking taylor expansion of n in k 1.314 * [taylor]: Taking taylor expansion of 0 in k 1.319 * [taylor]: Taking taylor expansion of 0 in k 1.323 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.323 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.323 * [taylor]: Taking taylor expansion of 0.5 in k 1.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.323 * [taylor]: Taking taylor expansion of 1.0 in k 1.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.323 * [taylor]: Taking taylor expansion of k in k 1.324 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.324 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.324 * [taylor]: Taking taylor expansion of n in k 1.325 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.325 * [taylor]: Taking taylor expansion of 0.5 in n 1.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.325 * [taylor]: Taking taylor expansion of 1.0 in n 1.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.325 * [taylor]: Taking taylor expansion of k in n 1.325 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.325 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.325 * [taylor]: Taking taylor expansion of n in n 1.326 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.326 * [taylor]: Taking taylor expansion of 0.5 in n 1.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.326 * [taylor]: Taking taylor expansion of 1.0 in n 1.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.326 * [taylor]: Taking taylor expansion of k in n 1.326 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.326 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.326 * [taylor]: Taking taylor expansion of n in n 1.327 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.327 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.327 * [taylor]: Taking taylor expansion of -0.5 in k 1.328 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.328 * [taylor]: Taking taylor expansion of (log n) in k 1.328 * [taylor]: Taking taylor expansion of n in k 1.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.328 * [taylor]: Taking taylor expansion of 1.0 in k 1.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.328 * [taylor]: Taking taylor expansion of k in k 1.331 * [taylor]: Taking taylor expansion of 0 in k 1.336 * [taylor]: Taking taylor expansion of 0 in k 1.342 * [taylor]: Taking taylor expansion of 0 in k 1.342 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.342 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.342 * [taylor]: Taking taylor expansion of 0.5 in k 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.343 * [taylor]: Taking taylor expansion of k in k 1.343 * [taylor]: Taking taylor expansion of 1.0 in k 1.343 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.343 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.343 * [taylor]: Taking taylor expansion of -1 in k 1.343 * [taylor]: Taking taylor expansion of n in k 1.344 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.344 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.344 * [taylor]: Taking taylor expansion of 0.5 in n 1.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.344 * [taylor]: Taking taylor expansion of k in n 1.344 * [taylor]: Taking taylor expansion of 1.0 in n 1.344 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.344 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.344 * [taylor]: Taking taylor expansion of -1 in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.346 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.346 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.346 * [taylor]: Taking taylor expansion of 0.5 in n 1.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.346 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.346 * [taylor]: Taking taylor expansion of k in n 1.346 * [taylor]: Taking taylor expansion of 1.0 in n 1.346 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.346 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.346 * [taylor]: Taking taylor expansion of -1 in n 1.346 * [taylor]: Taking taylor expansion of n in n 1.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.348 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.348 * [taylor]: Taking taylor expansion of 0.5 in k 1.348 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.348 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.348 * [taylor]: Taking taylor expansion of (log -1) in k 1.348 * [taylor]: Taking taylor expansion of -1 in k 1.348 * [taylor]: Taking taylor expansion of (log n) in k 1.348 * [taylor]: Taking taylor expansion of n in k 1.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.348 * [taylor]: Taking taylor expansion of k in k 1.348 * [taylor]: Taking taylor expansion of 1.0 in k 1.354 * [taylor]: Taking taylor expansion of 0 in k 1.358 * [taylor]: Taking taylor expansion of 0 in k 1.365 * [taylor]: Taking taylor expansion of 0 in k 1.366 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.366 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.366 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.366 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.366 * [taylor]: Taking taylor expansion of 0.5 in k 1.366 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.366 * [taylor]: Taking taylor expansion of 1.0 in k 1.366 * [taylor]: Taking taylor expansion of k in k 1.366 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.366 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.366 * [taylor]: Taking taylor expansion of 2.0 in k 1.366 * [taylor]: Taking taylor expansion of PI in k 1.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.371 * [taylor]: Taking taylor expansion of 0.5 in k 1.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.371 * [taylor]: Taking taylor expansion of 1.0 in k 1.371 * [taylor]: Taking taylor expansion of k in k 1.371 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.371 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.371 * [taylor]: Taking taylor expansion of 2.0 in k 1.371 * [taylor]: Taking taylor expansion of PI in k 1.423 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.423 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.423 * [taylor]: Taking taylor expansion of 0.5 in k 1.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.423 * [taylor]: Taking taylor expansion of 1.0 in k 1.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.423 * [taylor]: Taking taylor expansion of k in k 1.424 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.424 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.424 * [taylor]: Taking taylor expansion of 2.0 in k 1.424 * [taylor]: Taking taylor expansion of PI in k 1.427 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.427 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.427 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.427 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.427 * [taylor]: Taking taylor expansion of 0.5 in k 1.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.427 * [taylor]: Taking taylor expansion of 1.0 in k 1.427 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.427 * [taylor]: Taking taylor expansion of k in k 1.428 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.428 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.428 * [taylor]: Taking taylor expansion of 2.0 in k 1.428 * [taylor]: Taking taylor expansion of PI in k 1.433 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.433 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.433 * [taylor]: Taking taylor expansion of 0.5 in k 1.433 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.433 * [taylor]: Taking taylor expansion of k in k 1.433 * [taylor]: Taking taylor expansion of 1.0 in k 1.433 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.433 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.433 * [taylor]: Taking taylor expansion of 2.0 in k 1.433 * [taylor]: Taking taylor expansion of PI in k 1.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.437 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.437 * [taylor]: Taking taylor expansion of 0.5 in k 1.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.437 * [taylor]: Taking taylor expansion of k in k 1.438 * [taylor]: Taking taylor expansion of 1.0 in k 1.438 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.438 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.438 * [taylor]: Taking taylor expansion of 2.0 in k 1.438 * [taylor]: Taking taylor expansion of PI in k 1.442 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.443 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 1.443 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 1.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 1.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 1.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 1.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.443 * [taylor]: Taking taylor expansion of 0.5 in n 1.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.443 * [taylor]: Taking taylor expansion of 1.0 in n 1.443 * [taylor]: Taking taylor expansion of k in n 1.443 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.443 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.443 * [taylor]: Taking taylor expansion of 2.0 in n 1.443 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.446 * [taylor]: Taking taylor expansion of 0.5 in n 1.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.446 * [taylor]: Taking taylor expansion of 1.0 in n 1.446 * [taylor]: Taking taylor expansion of k in n 1.446 * [taylor]: Taking taylor expansion of (log n) in n 1.446 * [taylor]: Taking taylor expansion of n in n 1.446 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.446 * [taylor]: Taking taylor expansion of 0.5 in k 1.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.446 * [taylor]: Taking taylor expansion of 1.0 in k 1.446 * [taylor]: Taking taylor expansion of k in k 1.446 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.447 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.447 * [taylor]: Taking taylor expansion of 2.0 in k 1.447 * [taylor]: Taking taylor expansion of PI in k 1.451 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.451 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.451 * [taylor]: Taking taylor expansion of 0.5 in k 1.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.451 * [taylor]: Taking taylor expansion of 1.0 in k 1.451 * [taylor]: Taking taylor expansion of k in k 1.451 * [taylor]: Taking taylor expansion of (log n) in k 1.451 * [taylor]: Taking taylor expansion of n in k 1.452 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.452 * [taylor]: Taking taylor expansion of 0.5 in k 1.452 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.452 * [taylor]: Taking taylor expansion of 1.0 in k 1.452 * [taylor]: Taking taylor expansion of k in k 1.452 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.452 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.452 * [taylor]: Taking taylor expansion of 2.0 in k 1.452 * [taylor]: Taking taylor expansion of PI in k 1.456 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.456 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.456 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.456 * [taylor]: Taking taylor expansion of 0.5 in k 1.456 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.456 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.456 * [taylor]: Taking taylor expansion of (log n) in k 1.456 * [taylor]: Taking taylor expansion of n in k 1.464 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.464 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.464 * [taylor]: Taking taylor expansion of 0.5 in n 1.464 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.464 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.464 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.464 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.464 * [taylor]: Taking taylor expansion of 1.0 in n 1.464 * [taylor]: Taking taylor expansion of (log PI) in n 1.464 * [taylor]: Taking taylor expansion of PI in n 1.466 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.466 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.466 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.466 * [taylor]: Taking taylor expansion of 1.0 in n 1.466 * [taylor]: Taking taylor expansion of (log n) in n 1.466 * [taylor]: Taking taylor expansion of n in n 1.467 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.467 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.467 * [taylor]: Taking taylor expansion of 1.0 in n 1.467 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.467 * [taylor]: Taking taylor expansion of 2.0 in n 1.492 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.492 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.492 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.492 * [taylor]: Taking taylor expansion of 0.5 in n 1.492 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.492 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.492 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.492 * [taylor]: Taking taylor expansion of 2.0 in n 1.493 * [taylor]: Taking taylor expansion of PI in n 1.493 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.494 * [taylor]: Taking taylor expansion of 0.5 in n 1.494 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.494 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.494 * [taylor]: Taking taylor expansion of 1.0 in n 1.494 * [taylor]: Taking taylor expansion of (log PI) in n 1.494 * [taylor]: Taking taylor expansion of PI in n 1.495 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log n) in n 1.496 * [taylor]: Taking taylor expansion of n in n 1.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.496 * [taylor]: Taking taylor expansion of 2.0 in n 1.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.502 * [taylor]: Taking taylor expansion of 0.5 in n 1.502 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.502 * [taylor]: Taking taylor expansion of (log n) in n 1.502 * [taylor]: Taking taylor expansion of n in n 1.502 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.502 * [taylor]: Taking taylor expansion of 0.5 in n 1.502 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.502 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.502 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.502 * [taylor]: Taking taylor expansion of 1.0 in n 1.502 * [taylor]: Taking taylor expansion of (log PI) in n 1.502 * [taylor]: Taking taylor expansion of PI in n 1.504 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.504 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (log n) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.505 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.505 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.505 * [taylor]: Taking taylor expansion of 1.0 in n 1.505 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.505 * [taylor]: Taking taylor expansion of 2.0 in n 1.564 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.564 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.564 * [taylor]: Taking taylor expansion of 0.125 in n 1.564 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.564 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.564 * [taylor]: Taking taylor expansion of (log n) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.564 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.564 * [taylor]: Taking taylor expansion of 0.5 in n 1.564 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.564 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.564 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.565 * [taylor]: Taking taylor expansion of 1.0 in n 1.565 * [taylor]: Taking taylor expansion of (log PI) in n 1.565 * [taylor]: Taking taylor expansion of PI in n 1.566 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.566 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.566 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.566 * [taylor]: Taking taylor expansion of 1.0 in n 1.566 * [taylor]: Taking taylor expansion of (log n) in n 1.567 * [taylor]: Taking taylor expansion of n in n 1.567 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.567 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.567 * [taylor]: Taking taylor expansion of 1.0 in n 1.567 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.567 * [taylor]: Taking taylor expansion of 2.0 in n 1.572 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.572 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 1.572 * [taylor]: Taking taylor expansion of 0.25 in n 1.573 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 1.573 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 1.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.573 * [taylor]: Taking taylor expansion of 2.0 in n 1.573 * [taylor]: Taking taylor expansion of PI in n 1.574 * [taylor]: Taking taylor expansion of (log n) in n 1.574 * [taylor]: Taking taylor expansion of n in n 1.574 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.574 * [taylor]: Taking taylor expansion of 0.5 in n 1.574 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.574 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.574 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.574 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [taylor]: Taking taylor expansion of (log PI) in n 1.574 * [taylor]: Taking taylor expansion of PI in n 1.576 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.576 * [taylor]: Taking taylor expansion of 1.0 in n 1.576 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.576 * [taylor]: Taking taylor expansion of 2.0 in n 1.578 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.578 * [taylor]: Taking taylor expansion of 1.0 in n 1.578 * [taylor]: Taking taylor expansion of (log n) in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.582 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.582 * [taylor]: Taking taylor expansion of 0.125 in n 1.582 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.582 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 1.582 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.582 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.582 * [taylor]: Taking taylor expansion of 2.0 in n 1.582 * [taylor]: Taking taylor expansion of PI in n 1.583 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.583 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.583 * [taylor]: Taking taylor expansion of 0.5 in n 1.583 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.583 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.583 * [taylor]: Taking taylor expansion of 1.0 in n 1.583 * [taylor]: Taking taylor expansion of (log PI) in n 1.583 * [taylor]: Taking taylor expansion of PI in n 1.585 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.585 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.585 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.585 * [taylor]: Taking taylor expansion of 1.0 in n 1.585 * [taylor]: Taking taylor expansion of (log n) in n 1.585 * [taylor]: Taking taylor expansion of n in n 1.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.586 * [taylor]: Taking taylor expansion of 1.0 in n 1.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.586 * [taylor]: Taking taylor expansion of 2.0 in n 1.624 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 1.624 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.624 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.624 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.624 * [taylor]: Taking taylor expansion of 0.5 in n 1.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.624 * [taylor]: Taking taylor expansion of 1.0 in n 1.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.624 * [taylor]: Taking taylor expansion of k in n 1.624 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.624 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 1.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.625 * [taylor]: Taking taylor expansion of 0.5 in n 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.625 * [taylor]: Taking taylor expansion of 1.0 in n 1.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.625 * [taylor]: Taking taylor expansion of k in n 1.625 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.625 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.625 * [taylor]: Taking taylor expansion of 2.0 in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.628 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.628 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.628 * [taylor]: Taking taylor expansion of 0.5 in k 1.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.628 * [taylor]: Taking taylor expansion of 1.0 in k 1.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.628 * [taylor]: Taking taylor expansion of k in k 1.628 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.628 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.628 * [taylor]: Taking taylor expansion of n in k 1.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.629 * [taylor]: Taking taylor expansion of 0.5 in k 1.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.629 * [taylor]: Taking taylor expansion of k in k 1.630 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.630 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.630 * [taylor]: Taking taylor expansion of 2.0 in k 1.630 * [taylor]: Taking taylor expansion of PI in k 1.633 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.633 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.633 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.633 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.633 * [taylor]: Taking taylor expansion of 0.5 in k 1.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.633 * [taylor]: Taking taylor expansion of 1.0 in k 1.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.633 * [taylor]: Taking taylor expansion of k in k 1.633 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.633 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.633 * [taylor]: Taking taylor expansion of n in k 1.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.634 * [taylor]: Taking taylor expansion of 0.5 in k 1.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.634 * [taylor]: Taking taylor expansion of 1.0 in k 1.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.635 * [taylor]: Taking taylor expansion of k in k 1.635 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.635 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.635 * [taylor]: Taking taylor expansion of 2.0 in k 1.635 * [taylor]: Taking taylor expansion of PI in k 1.645 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.645 * [taylor]: Taking taylor expansion of 0.5 in n 1.645 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.645 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.645 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.645 * [taylor]: Taking taylor expansion of n in n 1.646 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.646 * [taylor]: Taking taylor expansion of 1.0 in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.646 * [taylor]: Taking taylor expansion of k in n 1.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 1.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 1.646 * [taylor]: Taking taylor expansion of 0.5 in n 1.646 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 1.646 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.646 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.646 * [taylor]: Taking taylor expansion of 2.0 in n 1.646 * [taylor]: Taking taylor expansion of PI in n 1.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.647 * [taylor]: Taking taylor expansion of 1.0 in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.647 * [taylor]: Taking taylor expansion of k in n 1.652 * [taylor]: Taking taylor expansion of 0 in n 1.661 * [taylor]: Taking taylor expansion of 0 in n 1.674 * [taylor]: Taking taylor expansion of 0 in n 1.675 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 1.675 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.676 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.676 * [taylor]: Taking taylor expansion of 0.5 in n 1.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.676 * [taylor]: Taking taylor expansion of k in n 1.676 * [taylor]: Taking taylor expansion of 1.0 in n 1.676 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.676 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.676 * [taylor]: Taking taylor expansion of -1 in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 1.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 1.678 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.678 * [taylor]: Taking taylor expansion of 0.5 in n 1.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.678 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.678 * [taylor]: Taking taylor expansion of k in n 1.678 * [taylor]: Taking taylor expansion of 1.0 in n 1.678 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.678 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.680 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.680 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.680 * [taylor]: Taking taylor expansion of 0.5 in k 1.680 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.680 * [taylor]: Taking taylor expansion of k in k 1.681 * [taylor]: Taking taylor expansion of 1.0 in k 1.681 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.681 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.681 * [taylor]: Taking taylor expansion of -1 in k 1.681 * [taylor]: Taking taylor expansion of n in k 1.681 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.682 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.682 * [taylor]: Taking taylor expansion of 0.5 in k 1.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.682 * [taylor]: Taking taylor expansion of k in k 1.682 * [taylor]: Taking taylor expansion of 1.0 in k 1.682 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.682 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.682 * [taylor]: Taking taylor expansion of 2.0 in k 1.682 * [taylor]: Taking taylor expansion of PI in k 1.685 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.685 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.685 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.685 * [taylor]: Taking taylor expansion of 0.5 in k 1.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.685 * [taylor]: Taking taylor expansion of 1.0 in k 1.686 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.686 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.686 * [taylor]: Taking taylor expansion of -1 in k 1.686 * [taylor]: Taking taylor expansion of n in k 1.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.686 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.686 * [taylor]: Taking taylor expansion of 0.5 in k 1.686 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.686 * [taylor]: Taking taylor expansion of k in k 1.687 * [taylor]: Taking taylor expansion of 1.0 in k 1.687 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.687 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.687 * [taylor]: Taking taylor expansion of 2.0 in k 1.687 * [taylor]: Taking taylor expansion of PI in k 1.691 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 1.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.691 * [taylor]: Taking taylor expansion of 0.5 in n 1.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.691 * [taylor]: Taking taylor expansion of k in n 1.691 * [taylor]: Taking taylor expansion of 1.0 in n 1.691 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.691 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.691 * [taylor]: Taking taylor expansion of -1 in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 1.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 1.693 * [taylor]: Taking taylor expansion of 0.5 in n 1.693 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 1.693 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.693 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.693 * [taylor]: Taking taylor expansion of 2.0 in n 1.693 * [taylor]: Taking taylor expansion of PI in n 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.695 * [taylor]: Taking taylor expansion of k in n 1.695 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of 0 in n 1.710 * [taylor]: Taking taylor expansion of 0 in n 1.723 * [taylor]: Taking taylor expansion of 0 in n 1.725 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 1.725 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.725 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.725 * [taylor]: Taking taylor expansion of 1.0 in k 1.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.725 * [taylor]: Taking taylor expansion of k in k 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.745 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.745 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.745 * [taylor]: Taking taylor expansion of 1.0 in k 1.745 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.745 * [taylor]: Taking taylor expansion of k in k 1.746 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.746 * [taylor]: Taking taylor expansion of k in k 1.756 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.756 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.756 * [taylor]: Taking taylor expansion of 1.0 in k 1.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.756 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.756 * [taylor]: Taking taylor expansion of -1 in k 1.756 * [taylor]: Taking taylor expansion of k in k 1.758 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.758 * [taylor]: Taking taylor expansion of 1.0 in k 1.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.758 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.758 * [taylor]: Taking taylor expansion of -1 in k 1.758 * [taylor]: Taking taylor expansion of k in k 1.769 * * * [progress]: simplifying candidates 1.772 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.780 * * [simplify]: iteration 0 : 764 enodes (cost 1218 ) 1.792 * * [simplify]: iteration 1 : 2967 enodes (cost 1142 ) 1.838 * * [simplify]: iteration 2 : 5002 enodes (cost 1130 ) 1.844 * [simplify]: Simplified to: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))))) (- (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI)))))))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (- (log -1) (log (/ -1 n))) (log (* 2.0 PI)))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 1.845 * * * [progress]: adding candidates to table 2.314 * * [progress]: iteration 3 / 4 2.314 * * * [progress]: picking best candidate 2.339 * * * * [pick]: Picked # 2.339 * * * [progress]: localizing error 2.356 * * * [progress]: generating rewritten candidates 2.356 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.361 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.385 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.394 * * * [progress]: generating series expansions 2.394 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.394 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.394 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.394 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.394 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.394 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.394 * [taylor]: Taking taylor expansion of 0.5 in k 2.395 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.395 * [taylor]: Taking taylor expansion of 1.0 in k 2.395 * [taylor]: Taking taylor expansion of k in k 2.395 * [taylor]: Taking taylor expansion of (log n) in k 2.395 * [taylor]: Taking taylor expansion of n in k 2.396 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.396 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.396 * [taylor]: Taking taylor expansion of 0.5 in n 2.396 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.396 * [taylor]: Taking taylor expansion of 1.0 in n 2.396 * [taylor]: Taking taylor expansion of k in n 2.396 * [taylor]: Taking taylor expansion of (log n) in n 2.396 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.397 * [taylor]: Taking taylor expansion of 0.5 in n 2.397 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.397 * [taylor]: Taking taylor expansion of 1.0 in n 2.397 * [taylor]: Taking taylor expansion of k in n 2.397 * [taylor]: Taking taylor expansion of (log n) in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.398 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.398 * [taylor]: Taking taylor expansion of 0.5 in k 2.398 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.398 * [taylor]: Taking taylor expansion of 1.0 in k 2.398 * [taylor]: Taking taylor expansion of k in k 2.398 * [taylor]: Taking taylor expansion of (log n) in k 2.398 * [taylor]: Taking taylor expansion of n in k 2.401 * [taylor]: Taking taylor expansion of 0 in k 2.406 * [taylor]: Taking taylor expansion of 0 in k 2.410 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.410 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.410 * [taylor]: Taking taylor expansion of 0.5 in k 2.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.410 * [taylor]: Taking taylor expansion of 1.0 in k 2.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.411 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.411 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.411 * [taylor]: Taking taylor expansion of n in k 2.417 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.417 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.417 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.417 * [taylor]: Taking taylor expansion of 0.5 in n 2.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.417 * [taylor]: Taking taylor expansion of 1.0 in n 2.417 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.417 * [taylor]: Taking taylor expansion of k in n 2.417 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.417 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.417 * [taylor]: Taking taylor expansion of n in n 2.418 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.418 * [taylor]: Taking taylor expansion of 0.5 in n 2.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.418 * [taylor]: Taking taylor expansion of 1.0 in n 2.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.418 * [taylor]: Taking taylor expansion of k in n 2.418 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.418 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.418 * [taylor]: Taking taylor expansion of n in n 2.419 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.420 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.420 * [taylor]: Taking taylor expansion of -0.5 in k 2.420 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.420 * [taylor]: Taking taylor expansion of (log n) in k 2.420 * [taylor]: Taking taylor expansion of n in k 2.420 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.420 * [taylor]: Taking taylor expansion of 1.0 in k 2.420 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.420 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of 0 in k 2.428 * [taylor]: Taking taylor expansion of 0 in k 2.434 * [taylor]: Taking taylor expansion of 0 in k 2.434 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.434 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.434 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.434 * [taylor]: Taking taylor expansion of 0.5 in k 2.434 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.434 * [taylor]: Taking taylor expansion of k in k 2.435 * [taylor]: Taking taylor expansion of 1.0 in k 2.435 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.435 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.435 * [taylor]: Taking taylor expansion of -1 in k 2.435 * [taylor]: Taking taylor expansion of n in k 2.435 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.435 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.435 * [taylor]: Taking taylor expansion of 0.5 in n 2.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.435 * [taylor]: Taking taylor expansion of k in n 2.436 * [taylor]: Taking taylor expansion of 1.0 in n 2.436 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.436 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.436 * [taylor]: Taking taylor expansion of -1 in n 2.436 * [taylor]: Taking taylor expansion of n in n 2.437 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.437 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.437 * [taylor]: Taking taylor expansion of 0.5 in n 2.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.437 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.438 * [taylor]: Taking taylor expansion of k in n 2.438 * [taylor]: Taking taylor expansion of 1.0 in n 2.438 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.438 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.438 * [taylor]: Taking taylor expansion of -1 in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.440 * [taylor]: Taking taylor expansion of 0.5 in k 2.440 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.440 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.440 * [taylor]: Taking taylor expansion of (log -1) in k 2.440 * [taylor]: Taking taylor expansion of -1 in k 2.440 * [taylor]: Taking taylor expansion of (log n) in k 2.440 * [taylor]: Taking taylor expansion of n in k 2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.440 * [taylor]: Taking taylor expansion of k in k 2.440 * [taylor]: Taking taylor expansion of 1.0 in k 2.446 * [taylor]: Taking taylor expansion of 0 in k 2.451 * [taylor]: Taking taylor expansion of 0 in k 2.458 * [taylor]: Taking taylor expansion of 0 in k 2.458 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.459 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.459 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.459 * [taylor]: Taking taylor expansion of 0.5 in k 2.459 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.459 * [taylor]: Taking taylor expansion of 1.0 in k 2.459 * [taylor]: Taking taylor expansion of k in k 2.459 * [taylor]: Taking taylor expansion of (log PI) in k 2.459 * [taylor]: Taking taylor expansion of PI in k 2.461 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.461 * [taylor]: Taking taylor expansion of 0.5 in k 2.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [taylor]: Taking taylor expansion of k in k 2.462 * [taylor]: Taking taylor expansion of (log PI) in k 2.462 * [taylor]: Taking taylor expansion of PI in k 2.493 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.493 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.494 * [taylor]: Taking taylor expansion of 0.5 in k 2.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.494 * [taylor]: Taking taylor expansion of 1.0 in k 2.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.494 * [taylor]: Taking taylor expansion of k in k 2.494 * [taylor]: Taking taylor expansion of (log PI) in k 2.494 * [taylor]: Taking taylor expansion of PI in k 2.496 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.496 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.496 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.496 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.496 * [taylor]: Taking taylor expansion of 0.5 in k 2.496 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.496 * [taylor]: Taking taylor expansion of 1.0 in k 2.496 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.496 * [taylor]: Taking taylor expansion of k in k 2.496 * [taylor]: Taking taylor expansion of (log PI) in k 2.496 * [taylor]: Taking taylor expansion of PI in k 2.505 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.505 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.505 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.505 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.505 * [taylor]: Taking taylor expansion of 0.5 in k 2.505 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.505 * [taylor]: Taking taylor expansion of k in k 2.506 * [taylor]: Taking taylor expansion of 1.0 in k 2.506 * [taylor]: Taking taylor expansion of (log PI) in k 2.506 * [taylor]: Taking taylor expansion of PI in k 2.508 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.508 * [taylor]: Taking taylor expansion of 0.5 in k 2.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.508 * [taylor]: Taking taylor expansion of k in k 2.508 * [taylor]: Taking taylor expansion of 1.0 in k 2.508 * [taylor]: Taking taylor expansion of (log PI) in k 2.508 * [taylor]: Taking taylor expansion of PI in k 2.511 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.511 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 2.511 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.511 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 2.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 2.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.511 * [taylor]: Taking taylor expansion of 0.5 in n 2.511 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.511 * [taylor]: Taking taylor expansion of 1.0 in n 2.511 * [taylor]: Taking taylor expansion of k in n 2.511 * [taylor]: Taking taylor expansion of (log PI) in n 2.511 * [taylor]: Taking taylor expansion of PI in n 2.512 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.512 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 2.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 2.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.512 * [taylor]: Taking taylor expansion of 0.5 in n 2.512 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.512 * [taylor]: Taking taylor expansion of 1.0 in n 2.512 * [taylor]: Taking taylor expansion of k in n 2.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.512 * [taylor]: Taking taylor expansion of 2.0 in n 2.513 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.513 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.513 * [taylor]: Taking taylor expansion of 0.5 in n 2.513 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.513 * [taylor]: Taking taylor expansion of 1.0 in n 2.513 * [taylor]: Taking taylor expansion of k in n 2.513 * [taylor]: Taking taylor expansion of (log n) in n 2.513 * [taylor]: Taking taylor expansion of n in n 2.514 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.514 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.514 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.514 * [taylor]: Taking taylor expansion of 0.5 in k 2.514 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.514 * [taylor]: Taking taylor expansion of 1.0 in k 2.514 * [taylor]: Taking taylor expansion of k in k 2.514 * [taylor]: Taking taylor expansion of (log PI) in k 2.514 * [taylor]: Taking taylor expansion of PI in k 2.517 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.517 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.517 * [taylor]: Taking taylor expansion of 0.5 in k 2.517 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.517 * [taylor]: Taking taylor expansion of 1.0 in k 2.517 * [taylor]: Taking taylor expansion of k in k 2.517 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.517 * [taylor]: Taking taylor expansion of 2.0 in k 2.519 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.519 * [taylor]: Taking taylor expansion of 0.5 in k 2.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.519 * [taylor]: Taking taylor expansion of 1.0 in k 2.519 * [taylor]: Taking taylor expansion of k in k 2.520 * [taylor]: Taking taylor expansion of (log n) in k 2.520 * [taylor]: Taking taylor expansion of n in k 2.520 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.520 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.520 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.520 * [taylor]: Taking taylor expansion of 0.5 in k 2.520 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.520 * [taylor]: Taking taylor expansion of 1.0 in k 2.521 * [taylor]: Taking taylor expansion of k in k 2.521 * [taylor]: Taking taylor expansion of (log PI) in k 2.521 * [taylor]: Taking taylor expansion of PI in k 2.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.523 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.523 * [taylor]: Taking taylor expansion of 0.5 in k 2.523 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.523 * [taylor]: Taking taylor expansion of 1.0 in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.523 * [taylor]: Taking taylor expansion of 2.0 in k 2.526 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.526 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.526 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.526 * [taylor]: Taking taylor expansion of 0.5 in k 2.526 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.526 * [taylor]: Taking taylor expansion of 1.0 in k 2.526 * [taylor]: Taking taylor expansion of k in k 2.526 * [taylor]: Taking taylor expansion of (log n) in k 2.526 * [taylor]: Taking taylor expansion of n in k 2.528 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.528 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.528 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.528 * [taylor]: Taking taylor expansion of 0.5 in n 2.528 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.528 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.528 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.528 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.528 * [taylor]: Taking taylor expansion of 1.0 in n 2.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.528 * [taylor]: Taking taylor expansion of 2.0 in n 2.530 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.530 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.530 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.530 * [taylor]: Taking taylor expansion of 1.0 in n 2.530 * [taylor]: Taking taylor expansion of (log n) in n 2.530 * [taylor]: Taking taylor expansion of n in n 2.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.531 * [taylor]: Taking taylor expansion of 1.0 in n 2.531 * [taylor]: Taking taylor expansion of (log PI) in n 2.531 * [taylor]: Taking taylor expansion of PI in n 2.564 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.564 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 2.564 * [taylor]: Taking taylor expansion of 0.5 in n 2.564 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 2.564 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.564 * [taylor]: Taking taylor expansion of 0.5 in n 2.564 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.564 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.564 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.565 * [taylor]: Taking taylor expansion of 2.0 in n 2.566 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.566 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.566 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.566 * [taylor]: Taking taylor expansion of 1.0 in n 2.566 * [taylor]: Taking taylor expansion of (log n) in n 2.566 * [taylor]: Taking taylor expansion of n in n 2.567 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.567 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.567 * [taylor]: Taking taylor expansion of 1.0 in n 2.567 * [taylor]: Taking taylor expansion of (log PI) in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.572 * [taylor]: Taking taylor expansion of (log PI) in n 2.572 * [taylor]: Taking taylor expansion of PI in n 2.573 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.573 * [taylor]: Taking taylor expansion of (log n) in n 2.573 * [taylor]: Taking taylor expansion of n in n 2.573 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.573 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (log PI) in n 2.573 * [taylor]: Taking taylor expansion of PI in n 2.575 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.575 * [taylor]: Taking taylor expansion of 1.0 in n 2.575 * [taylor]: Taking taylor expansion of (log n) in n 2.575 * [taylor]: Taking taylor expansion of n in n 2.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.576 * [taylor]: Taking taylor expansion of 1.0 in n 2.576 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.576 * [taylor]: Taking taylor expansion of 2.0 in n 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.581 * [taylor]: Taking taylor expansion of 0.5 in n 2.581 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.581 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.581 * [taylor]: Taking taylor expansion of 2.0 in n 2.582 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.582 * [taylor]: Taking taylor expansion of 0.5 in n 2.582 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.582 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.582 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.582 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.582 * [taylor]: Taking taylor expansion of 1.0 in n 2.582 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.582 * [taylor]: Taking taylor expansion of 2.0 in n 2.584 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.584 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.584 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.584 * [taylor]: Taking taylor expansion of 1.0 in n 2.584 * [taylor]: Taking taylor expansion of (log n) in n 2.584 * [taylor]: Taking taylor expansion of n in n 2.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.584 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.584 * [taylor]: Taking taylor expansion of 1.0 in n 2.584 * [taylor]: Taking taylor expansion of (log PI) in n 2.584 * [taylor]: Taking taylor expansion of PI in n 2.662 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 2.662 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 2.662 * [taylor]: Taking taylor expansion of 0.25 in n 2.662 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 2.662 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 2.662 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.662 * [taylor]: Taking taylor expansion of 2.0 in n 2.662 * [taylor]: Taking taylor expansion of (log n) in n 2.663 * [taylor]: Taking taylor expansion of n in n 2.663 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.663 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.663 * [taylor]: Taking taylor expansion of 0.5 in n 2.663 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.663 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.663 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.663 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.663 * [taylor]: Taking taylor expansion of 1.0 in n 2.663 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.663 * [taylor]: Taking taylor expansion of 2.0 in n 2.665 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.665 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.665 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.665 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.665 * [taylor]: Taking taylor expansion of 1.0 in n 2.665 * [taylor]: Taking taylor expansion of (log PI) in n 2.665 * [taylor]: Taking taylor expansion of PI in n 2.667 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.667 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.667 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.667 * [taylor]: Taking taylor expansion of 1.0 in n 2.667 * [taylor]: Taking taylor expansion of (log n) in n 2.667 * [taylor]: Taking taylor expansion of n in n 2.671 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 2.671 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 2.671 * [taylor]: Taking taylor expansion of 0.25 in n 2.671 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 2.671 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.671 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.671 * [taylor]: Taking taylor expansion of 0.5 in n 2.671 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.671 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.671 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.671 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.671 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.671 * [taylor]: Taking taylor expansion of 1.0 in n 2.671 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.671 * [taylor]: Taking taylor expansion of 2.0 in n 2.673 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.673 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.673 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.673 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.673 * [taylor]: Taking taylor expansion of 1.0 in n 2.673 * [taylor]: Taking taylor expansion of (log PI) in n 2.673 * [taylor]: Taking taylor expansion of PI in n 2.675 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.675 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.675 * [taylor]: Taking taylor expansion of 1.0 in n 2.675 * [taylor]: Taking taylor expansion of (log n) in n 2.675 * [taylor]: Taking taylor expansion of n in n 2.685 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 2.685 * [taylor]: Taking taylor expansion of (log n) in n 2.685 * [taylor]: Taking taylor expansion of n in n 2.686 * [taylor]: Taking taylor expansion of (log PI) in n 2.686 * [taylor]: Taking taylor expansion of PI in n 2.686 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 2.686 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.686 * [taylor]: Taking taylor expansion of 0.25 in n 2.686 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.686 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 2.686 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.686 * [taylor]: Taking taylor expansion of 2.0 in n 2.686 * [taylor]: Taking taylor expansion of (log PI) in n 2.686 * [taylor]: Taking taylor expansion of PI in n 2.687 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.687 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.687 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.687 * [taylor]: Taking taylor expansion of 0.5 in n 2.687 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.687 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.687 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.687 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.687 * [taylor]: Taking taylor expansion of 1.0 in n 2.687 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.687 * [taylor]: Taking taylor expansion of 2.0 in n 2.689 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.689 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.689 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.689 * [taylor]: Taking taylor expansion of 1.0 in n 2.689 * [taylor]: Taking taylor expansion of (log n) in n 2.689 * [taylor]: Taking taylor expansion of n in n 2.689 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.689 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.689 * [taylor]: Taking taylor expansion of 1.0 in n 2.689 * [taylor]: Taking taylor expansion of (log PI) in n 2.689 * [taylor]: Taking taylor expansion of PI in n 2.695 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 2.695 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.695 * [taylor]: Taking taylor expansion of 0.125 in n 2.695 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.695 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 2.695 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.695 * [taylor]: Taking taylor expansion of 2.0 in n 2.695 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.695 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.695 * [taylor]: Taking taylor expansion of 0.5 in n 2.695 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.695 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.696 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [taylor]: Taking taylor expansion of (log PI) in n 2.696 * [taylor]: Taking taylor expansion of PI in n 2.697 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.697 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.698 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.698 * [taylor]: Taking taylor expansion of 1.0 in n 2.698 * [taylor]: Taking taylor expansion of (log n) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.698 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.698 * [taylor]: Taking taylor expansion of 1.0 in n 2.698 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.698 * [taylor]: Taking taylor expansion of 2.0 in n 2.704 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 2.704 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 2.704 * [taylor]: Taking taylor expansion of 0.125 in n 2.704 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 2.704 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.704 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.704 * [taylor]: Taking taylor expansion of 0.5 in n 2.704 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.704 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.704 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.704 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.704 * [taylor]: Taking taylor expansion of 1.0 in n 2.704 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.704 * [taylor]: Taking taylor expansion of 2.0 in n 2.706 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.706 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.706 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.706 * [taylor]: Taking taylor expansion of 1.0 in n 2.706 * [taylor]: Taking taylor expansion of (log n) in n 2.706 * [taylor]: Taking taylor expansion of n in n 2.707 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.707 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.707 * [taylor]: Taking taylor expansion of 1.0 in n 2.707 * [taylor]: Taking taylor expansion of (log PI) in n 2.707 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 2.712 * [taylor]: Taking taylor expansion of (log PI) in n 2.712 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 2.712 * [taylor]: Taking taylor expansion of 0.125 in n 2.712 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 2.712 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.712 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.713 * [taylor]: Taking taylor expansion of 0.5 in n 2.713 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.713 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.713 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.713 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.713 * [taylor]: Taking taylor expansion of 1.0 in n 2.713 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.713 * [taylor]: Taking taylor expansion of 2.0 in n 2.714 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.714 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.714 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.715 * [taylor]: Taking taylor expansion of 1.0 in n 2.715 * [taylor]: Taking taylor expansion of (log PI) in n 2.715 * [taylor]: Taking taylor expansion of PI in n 2.716 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.716 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.716 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.716 * [taylor]: Taking taylor expansion of 1.0 in n 2.716 * [taylor]: Taking taylor expansion of (log n) in n 2.716 * [taylor]: Taking taylor expansion of n in n 2.721 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.721 * [taylor]: Taking taylor expansion of (log n) in n 2.721 * [taylor]: Taking taylor expansion of n in n 2.799 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.799 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.799 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 2.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 2.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 2.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.799 * [taylor]: Taking taylor expansion of 0.5 in n 2.799 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.799 * [taylor]: Taking taylor expansion of 1.0 in n 2.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.799 * [taylor]: Taking taylor expansion of k in n 2.799 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.799 * [taylor]: Taking taylor expansion of 2.0 in n 2.800 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 2.800 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.800 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.800 * [taylor]: Taking taylor expansion of 0.5 in n 2.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.800 * [taylor]: Taking taylor expansion of 1.0 in n 2.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.800 * [taylor]: Taking taylor expansion of k in n 2.800 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.800 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.800 * [taylor]: Taking taylor expansion of n in n 2.801 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 2.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 2.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.801 * [taylor]: Taking taylor expansion of 0.5 in n 2.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.801 * [taylor]: Taking taylor expansion of k in n 2.801 * [taylor]: Taking taylor expansion of (log PI) in n 2.801 * [taylor]: Taking taylor expansion of PI in n 2.803 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.803 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.803 * [taylor]: Taking taylor expansion of 0.5 in k 2.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.803 * [taylor]: Taking taylor expansion of 1.0 in k 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.803 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.803 * [taylor]: Taking taylor expansion of 2.0 in k 2.805 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.805 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.805 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.805 * [taylor]: Taking taylor expansion of 0.5 in k 2.805 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.805 * [taylor]: Taking taylor expansion of 1.0 in k 2.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.805 * [taylor]: Taking taylor expansion of k in k 2.806 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.806 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.806 * [taylor]: Taking taylor expansion of n in k 2.807 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.807 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.807 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.807 * [taylor]: Taking taylor expansion of 0.5 in k 2.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of (log PI) in k 2.807 * [taylor]: Taking taylor expansion of PI in k 2.809 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.809 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.809 * [taylor]: Taking taylor expansion of 0.5 in k 2.809 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.809 * [taylor]: Taking taylor expansion of 1.0 in k 2.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.809 * [taylor]: Taking taylor expansion of k in k 2.809 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.809 * [taylor]: Taking taylor expansion of 2.0 in k 2.811 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.811 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.811 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.811 * [taylor]: Taking taylor expansion of 0.5 in k 2.811 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.811 * [taylor]: Taking taylor expansion of 1.0 in k 2.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.811 * [taylor]: Taking taylor expansion of k in k 2.812 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.812 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.812 * [taylor]: Taking taylor expansion of n in k 2.813 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.813 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.813 * [taylor]: Taking taylor expansion of 0.5 in k 2.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.813 * [taylor]: Taking taylor expansion of 1.0 in k 2.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.813 * [taylor]: Taking taylor expansion of k in k 2.813 * [taylor]: Taking taylor expansion of (log PI) in k 2.813 * [taylor]: Taking taylor expansion of PI in k 2.816 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.816 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.816 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.816 * [taylor]: Taking taylor expansion of 0.5 in n 2.816 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.816 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.817 * [taylor]: Taking taylor expansion of n in n 2.817 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.817 * [taylor]: Taking taylor expansion of 1.0 in n 2.817 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.817 * [taylor]: Taking taylor expansion of k in n 2.818 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 2.818 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 2.818 * [taylor]: Taking taylor expansion of 0.5 in n 2.818 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 2.818 * [taylor]: Taking taylor expansion of (log PI) in n 2.818 * [taylor]: Taking taylor expansion of PI in n 2.818 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.818 * [taylor]: Taking taylor expansion of 1.0 in n 2.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.818 * [taylor]: Taking taylor expansion of k in n 2.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.819 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.819 * [taylor]: Taking taylor expansion of 0.5 in n 2.819 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.819 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.819 * [taylor]: Taking taylor expansion of 2.0 in n 2.820 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.820 * [taylor]: Taking taylor expansion of 1.0 in n 2.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.820 * [taylor]: Taking taylor expansion of k in n 2.824 * [taylor]: Taking taylor expansion of 0 in n 2.836 * [taylor]: Taking taylor expansion of 0 in n 2.854 * [taylor]: Taking taylor expansion of 0 in n 2.855 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 2.855 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 2.855 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.855 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.855 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.855 * [taylor]: Taking taylor expansion of 0.5 in n 2.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.855 * [taylor]: Taking taylor expansion of k in n 2.855 * [taylor]: Taking taylor expansion of 1.0 in n 2.855 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.855 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.855 * [taylor]: Taking taylor expansion of -1 in n 2.855 * [taylor]: Taking taylor expansion of n in n 2.857 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.857 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 2.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 2.857 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 2.857 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.857 * [taylor]: Taking taylor expansion of 0.5 in n 2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.857 * [taylor]: Taking taylor expansion of k in n 2.857 * [taylor]: Taking taylor expansion of 1.0 in n 2.857 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.857 * [taylor]: Taking taylor expansion of 2.0 in n 2.858 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 2.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 2.858 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 2.859 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.859 * [taylor]: Taking taylor expansion of 0.5 in n 2.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.859 * [taylor]: Taking taylor expansion of k in n 2.859 * [taylor]: Taking taylor expansion of 1.0 in n 2.859 * [taylor]: Taking taylor expansion of (log PI) in n 2.859 * [taylor]: Taking taylor expansion of PI in n 2.860 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.860 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.860 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.860 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.860 * [taylor]: Taking taylor expansion of 0.5 in k 2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.860 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.860 * [taylor]: Taking taylor expansion of k in k 2.860 * [taylor]: Taking taylor expansion of 1.0 in k 2.860 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.860 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.860 * [taylor]: Taking taylor expansion of -1 in k 2.860 * [taylor]: Taking taylor expansion of n in k 2.861 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.861 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.861 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.861 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.861 * [taylor]: Taking taylor expansion of 0.5 in k 2.861 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.861 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.861 * [taylor]: Taking taylor expansion of k in k 2.861 * [taylor]: Taking taylor expansion of 1.0 in k 2.861 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.861 * [taylor]: Taking taylor expansion of 2.0 in k 2.863 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.863 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.863 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.863 * [taylor]: Taking taylor expansion of 0.5 in k 2.863 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.863 * [taylor]: Taking taylor expansion of k in k 2.864 * [taylor]: Taking taylor expansion of 1.0 in k 2.864 * [taylor]: Taking taylor expansion of (log PI) in k 2.864 * [taylor]: Taking taylor expansion of PI in k 2.865 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.865 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.865 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.865 * [taylor]: Taking taylor expansion of 0.5 in k 2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.866 * [taylor]: Taking taylor expansion of k in k 2.866 * [taylor]: Taking taylor expansion of 1.0 in k 2.866 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.866 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.866 * [taylor]: Taking taylor expansion of -1 in k 2.866 * [taylor]: Taking taylor expansion of n in k 2.867 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.867 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.867 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.867 * [taylor]: Taking taylor expansion of 0.5 in k 2.867 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.867 * [taylor]: Taking taylor expansion of k in k 2.867 * [taylor]: Taking taylor expansion of 1.0 in k 2.867 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.867 * [taylor]: Taking taylor expansion of 2.0 in k 2.876 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.876 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.876 * [taylor]: Taking taylor expansion of 0.5 in k 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.876 * [taylor]: Taking taylor expansion of k in k 2.876 * [taylor]: Taking taylor expansion of 1.0 in k 2.876 * [taylor]: Taking taylor expansion of (log PI) in k 2.876 * [taylor]: Taking taylor expansion of PI in k 2.880 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 2.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 2.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 2.880 * [taylor]: Taking taylor expansion of 0.5 in n 2.880 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 2.880 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.880 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.880 * [taylor]: Taking taylor expansion of k in n 2.880 * [taylor]: Taking taylor expansion of 1.0 in n 2.880 * [taylor]: Taking taylor expansion of (log PI) in n 2.880 * [taylor]: Taking taylor expansion of PI in n 2.882 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.882 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.882 * [taylor]: Taking taylor expansion of 0.5 in n 2.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.882 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.882 * [taylor]: Taking taylor expansion of k in n 2.882 * [taylor]: Taking taylor expansion of 1.0 in n 2.882 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.882 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.882 * [taylor]: Taking taylor expansion of -1 in n 2.882 * [taylor]: Taking taylor expansion of n in n 2.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.884 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.884 * [taylor]: Taking taylor expansion of 0.5 in n 2.884 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.884 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.884 * [taylor]: Taking taylor expansion of 2.0 in n 2.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.884 * [taylor]: Taking taylor expansion of k in n 2.884 * [taylor]: Taking taylor expansion of 1.0 in n 2.890 * [taylor]: Taking taylor expansion of 0 in n 2.903 * [taylor]: Taking taylor expansion of 0 in n 2.922 * [taylor]: Taking taylor expansion of 0 in n 2.923 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.923 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.923 * [taylor]: Taking taylor expansion of 1.0 in k 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.923 * [taylor]: Taking taylor expansion of k in k 2.924 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.924 * [taylor]: Taking taylor expansion of 1.0 in k 2.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.925 * [taylor]: Taking taylor expansion of k in k 2.936 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.936 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.936 * [taylor]: Taking taylor expansion of 1.0 in k 2.936 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.936 * [taylor]: Taking taylor expansion of k in k 2.937 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.937 * [taylor]: Taking taylor expansion of 1.0 in k 2.937 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.937 * [taylor]: Taking taylor expansion of k in k 2.947 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.947 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.947 * [taylor]: Taking taylor expansion of 1.0 in k 2.947 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.947 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.947 * [taylor]: Taking taylor expansion of -1 in k 2.947 * [taylor]: Taking taylor expansion of k in k 2.949 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.949 * [taylor]: Taking taylor expansion of 1.0 in k 2.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.949 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.949 * [taylor]: Taking taylor expansion of -1 in k 2.949 * [taylor]: Taking taylor expansion of k in k 2.967 * * * [progress]: simplifying candidates 2.969 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow 1 (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) 1) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* 0.25 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.25 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))))) (+ (* 0.5 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (* (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.980 * * [simplify]: iteration 0 : 936 enodes (cost 1481 ) 2.995 * * [simplify]: iteration 1 : 3816 enodes (cost 1272 ) 3.057 * * [simplify]: iteration 2 : 5001 enodes (cost 1262 ) 3.063 * [simplify]: Simplified to: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) 1 (pow n (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (pow (pow n (/ (- 1.0 k) 2.0)) 3) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n)))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log n) 2)))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 3.064 * * * [progress]: adding candidates to table 3.576 * * [progress]: iteration 4 / 4 3.576 * * * [progress]: picking best candidate 3.593 * * * * [pick]: Picked # 3.593 * * * [progress]: localizing error 3.617 * * * [progress]: generating rewritten candidates 3.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.634 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 3.638 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.654 * * * [progress]: generating series expansions 3.654 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.654 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.654 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.654 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.654 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.654 * [taylor]: Taking taylor expansion of 0.25 in k 3.654 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.654 * [taylor]: Taking taylor expansion of 1.0 in k 3.654 * [taylor]: Taking taylor expansion of k in k 3.654 * [taylor]: Taking taylor expansion of (log n) in k 3.654 * [taylor]: Taking taylor expansion of n in k 3.656 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.656 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.656 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.656 * [taylor]: Taking taylor expansion of 0.25 in n 3.656 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.656 * [taylor]: Taking taylor expansion of 1.0 in n 3.656 * [taylor]: Taking taylor expansion of k in n 3.656 * [taylor]: Taking taylor expansion of (log n) in n 3.656 * [taylor]: Taking taylor expansion of n in n 3.656 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.657 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.657 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.657 * [taylor]: Taking taylor expansion of 0.25 in n 3.657 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.657 * [taylor]: Taking taylor expansion of 1.0 in n 3.657 * [taylor]: Taking taylor expansion of k in n 3.657 * [taylor]: Taking taylor expansion of (log n) in n 3.657 * [taylor]: Taking taylor expansion of n in n 3.657 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.657 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.658 * [taylor]: Taking taylor expansion of 0.25 in k 3.658 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.658 * [taylor]: Taking taylor expansion of 1.0 in k 3.658 * [taylor]: Taking taylor expansion of k in k 3.658 * [taylor]: Taking taylor expansion of (log n) in k 3.658 * [taylor]: Taking taylor expansion of n in k 3.661 * [taylor]: Taking taylor expansion of 0 in k 3.666 * [taylor]: Taking taylor expansion of 0 in k 3.670 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.670 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.671 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.671 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.671 * [taylor]: Taking taylor expansion of 0.25 in k 3.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.671 * [taylor]: Taking taylor expansion of 1.0 in k 3.671 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.671 * [taylor]: Taking taylor expansion of k in k 3.671 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.671 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.671 * [taylor]: Taking taylor expansion of n in k 3.672 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.672 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.672 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.672 * [taylor]: Taking taylor expansion of 0.25 in n 3.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.672 * [taylor]: Taking taylor expansion of 1.0 in n 3.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.672 * [taylor]: Taking taylor expansion of k in n 3.672 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.672 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.672 * [taylor]: Taking taylor expansion of n in n 3.673 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.673 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.673 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.673 * [taylor]: Taking taylor expansion of 0.25 in n 3.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.673 * [taylor]: Taking taylor expansion of 1.0 in n 3.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.673 * [taylor]: Taking taylor expansion of k in n 3.673 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.673 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.673 * [taylor]: Taking taylor expansion of n in n 3.681 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.681 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.681 * [taylor]: Taking taylor expansion of -0.25 in k 3.681 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.681 * [taylor]: Taking taylor expansion of (log n) in k 3.681 * [taylor]: Taking taylor expansion of n in k 3.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.681 * [taylor]: Taking taylor expansion of 1.0 in k 3.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.681 * [taylor]: Taking taylor expansion of k in k 3.686 * [taylor]: Taking taylor expansion of 0 in k 3.690 * [taylor]: Taking taylor expansion of 0 in k 3.696 * [taylor]: Taking taylor expansion of 0 in k 3.697 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.697 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.697 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.697 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.697 * [taylor]: Taking taylor expansion of 0.25 in k 3.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.697 * [taylor]: Taking taylor expansion of k in k 3.697 * [taylor]: Taking taylor expansion of 1.0 in k 3.697 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.697 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.697 * [taylor]: Taking taylor expansion of -1 in k 3.697 * [taylor]: Taking taylor expansion of n in k 3.698 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.698 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.698 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.698 * [taylor]: Taking taylor expansion of 0.25 in n 3.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.698 * [taylor]: Taking taylor expansion of k in n 3.698 * [taylor]: Taking taylor expansion of 1.0 in n 3.698 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.698 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.698 * [taylor]: Taking taylor expansion of -1 in n 3.698 * [taylor]: Taking taylor expansion of n in n 3.700 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.700 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.700 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.700 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.700 * [taylor]: Taking taylor expansion of 0.25 in n 3.700 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.700 * [taylor]: Taking taylor expansion of k in n 3.700 * [taylor]: Taking taylor expansion of 1.0 in n 3.701 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.701 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.701 * [taylor]: Taking taylor expansion of -1 in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.702 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.702 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.702 * [taylor]: Taking taylor expansion of 0.25 in k 3.703 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.703 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.703 * [taylor]: Taking taylor expansion of (log -1) in k 3.703 * [taylor]: Taking taylor expansion of -1 in k 3.703 * [taylor]: Taking taylor expansion of (log n) in k 3.703 * [taylor]: Taking taylor expansion of n in k 3.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.703 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.703 * [taylor]: Taking taylor expansion of k in k 3.703 * [taylor]: Taking taylor expansion of 1.0 in k 3.708 * [taylor]: Taking taylor expansion of 0 in k 3.714 * [taylor]: Taking taylor expansion of 0 in k 3.721 * [taylor]: Taking taylor expansion of 0 in k 3.721 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.721 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.721 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.721 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.721 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.722 * [taylor]: Taking taylor expansion of 0.25 in k 3.722 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.722 * [taylor]: Taking taylor expansion of 1.0 in k 3.722 * [taylor]: Taking taylor expansion of k in k 3.722 * [taylor]: Taking taylor expansion of (log n) in k 3.722 * [taylor]: Taking taylor expansion of n in k 3.722 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.723 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.723 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.723 * [taylor]: Taking taylor expansion of 0.25 in n 3.723 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.723 * [taylor]: Taking taylor expansion of 1.0 in n 3.723 * [taylor]: Taking taylor expansion of k in n 3.723 * [taylor]: Taking taylor expansion of (log n) in n 3.723 * [taylor]: Taking taylor expansion of n in n 3.723 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.723 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.723 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.723 * [taylor]: Taking taylor expansion of 0.25 in n 3.723 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.723 * [taylor]: Taking taylor expansion of 1.0 in n 3.724 * [taylor]: Taking taylor expansion of k in n 3.724 * [taylor]: Taking taylor expansion of (log n) in n 3.724 * [taylor]: Taking taylor expansion of n in n 3.724 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.724 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.724 * [taylor]: Taking taylor expansion of 0.25 in k 3.724 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.724 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.724 * [taylor]: Taking taylor expansion of 1.0 in k 3.724 * [taylor]: Taking taylor expansion of k in k 3.724 * [taylor]: Taking taylor expansion of (log n) in k 3.724 * [taylor]: Taking taylor expansion of n in k 3.728 * [taylor]: Taking taylor expansion of 0 in k 3.733 * [taylor]: Taking taylor expansion of 0 in k 3.737 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.737 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.737 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.737 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.737 * [taylor]: Taking taylor expansion of 0.25 in k 3.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.737 * [taylor]: Taking taylor expansion of 1.0 in k 3.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.737 * [taylor]: Taking taylor expansion of k in k 3.738 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.738 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.738 * [taylor]: Taking taylor expansion of n in k 3.739 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.739 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.739 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.739 * [taylor]: Taking taylor expansion of 0.25 in n 3.739 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.739 * [taylor]: Taking taylor expansion of 1.0 in n 3.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.739 * [taylor]: Taking taylor expansion of k in n 3.739 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.739 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.739 * [taylor]: Taking taylor expansion of n in n 3.740 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.740 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.740 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.740 * [taylor]: Taking taylor expansion of 0.25 in n 3.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.740 * [taylor]: Taking taylor expansion of 1.0 in n 3.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.740 * [taylor]: Taking taylor expansion of k in n 3.740 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.740 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.740 * [taylor]: Taking taylor expansion of n in n 3.741 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.741 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.741 * [taylor]: Taking taylor expansion of -0.25 in k 3.741 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.741 * [taylor]: Taking taylor expansion of (log n) in k 3.741 * [taylor]: Taking taylor expansion of n in k 3.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.742 * [taylor]: Taking taylor expansion of 1.0 in k 3.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.742 * [taylor]: Taking taylor expansion of k in k 3.745 * [taylor]: Taking taylor expansion of 0 in k 3.750 * [taylor]: Taking taylor expansion of 0 in k 3.756 * [taylor]: Taking taylor expansion of 0 in k 3.756 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.756 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.756 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.756 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.756 * [taylor]: Taking taylor expansion of 0.25 in k 3.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.756 * [taylor]: Taking taylor expansion of k in k 3.757 * [taylor]: Taking taylor expansion of 1.0 in k 3.757 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.757 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.757 * [taylor]: Taking taylor expansion of -1 in k 3.757 * [taylor]: Taking taylor expansion of n in k 3.758 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.758 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.758 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.758 * [taylor]: Taking taylor expansion of 0.25 in n 3.758 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.758 * [taylor]: Taking taylor expansion of k in n 3.758 * [taylor]: Taking taylor expansion of 1.0 in n 3.758 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.758 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.758 * [taylor]: Taking taylor expansion of -1 in n 3.758 * [taylor]: Taking taylor expansion of n in n 3.760 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.760 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.760 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.760 * [taylor]: Taking taylor expansion of 0.25 in n 3.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.760 * [taylor]: Taking taylor expansion of k in n 3.760 * [taylor]: Taking taylor expansion of 1.0 in n 3.760 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.760 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.760 * [taylor]: Taking taylor expansion of -1 in n 3.760 * [taylor]: Taking taylor expansion of n in n 3.762 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.762 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.762 * [taylor]: Taking taylor expansion of 0.25 in k 3.762 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.762 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.762 * [taylor]: Taking taylor expansion of (log -1) in k 3.762 * [taylor]: Taking taylor expansion of -1 in k 3.762 * [taylor]: Taking taylor expansion of (log n) in k 3.762 * [taylor]: Taking taylor expansion of n in k 3.762 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.762 * [taylor]: Taking taylor expansion of k in k 3.762 * [taylor]: Taking taylor expansion of 1.0 in k 3.774 * [taylor]: Taking taylor expansion of 0 in k 3.779 * [taylor]: Taking taylor expansion of 0 in k 3.785 * [taylor]: Taking taylor expansion of 0 in k 3.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 3.786 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 3.786 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.786 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.786 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.786 * [taylor]: Taking taylor expansion of 0.5 in k 3.786 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.786 * [taylor]: Taking taylor expansion of 1.0 in k 3.786 * [taylor]: Taking taylor expansion of k in k 3.786 * [taylor]: Taking taylor expansion of (log PI) in k 3.786 * [taylor]: Taking taylor expansion of PI in k 3.789 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 3.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 3.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 3.789 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.789 * [taylor]: Taking taylor expansion of 0.5 in k 3.789 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.789 * [taylor]: Taking taylor expansion of 1.0 in k 3.789 * [taylor]: Taking taylor expansion of k in k 3.789 * [taylor]: Taking taylor expansion of (log PI) in k 3.789 * [taylor]: Taking taylor expansion of PI in k 3.821 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.821 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.821 * [taylor]: Taking taylor expansion of 0.5 in k 3.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.821 * [taylor]: Taking taylor expansion of (log PI) in k 3.822 * [taylor]: Taking taylor expansion of PI in k 3.823 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 3.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 3.823 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 3.824 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.824 * [taylor]: Taking taylor expansion of 0.5 in k 3.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.824 * [taylor]: Taking taylor expansion of 1.0 in k 3.824 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.824 * [taylor]: Taking taylor expansion of k in k 3.824 * [taylor]: Taking taylor expansion of (log PI) in k 3.824 * [taylor]: Taking taylor expansion of PI in k 3.827 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.827 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.827 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.827 * [taylor]: Taking taylor expansion of 0.5 in k 3.827 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.827 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.827 * [taylor]: Taking taylor expansion of k in k 3.827 * [taylor]: Taking taylor expansion of 1.0 in k 3.827 * [taylor]: Taking taylor expansion of (log PI) in k 3.827 * [taylor]: Taking taylor expansion of PI in k 3.829 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 3.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 3.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 3.829 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.829 * [taylor]: Taking taylor expansion of 0.5 in k 3.829 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.829 * [taylor]: Taking taylor expansion of k in k 3.829 * [taylor]: Taking taylor expansion of 1.0 in k 3.829 * [taylor]: Taking taylor expansion of (log PI) in k 3.829 * [taylor]: Taking taylor expansion of PI in k 3.832 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.832 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.832 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.832 * [taylor]: Taking taylor expansion of 1.0 in k 3.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.832 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.832 * [taylor]: Taking taylor expansion of k in k 3.834 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.834 * [taylor]: Taking taylor expansion of 1.0 in k 3.834 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.834 * [taylor]: Taking taylor expansion of k in k 3.845 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.845 * [taylor]: Taking taylor expansion of 1.0 in k 3.845 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.845 * [taylor]: Taking taylor expansion of k in k 3.846 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.846 * [taylor]: Taking taylor expansion of 1.0 in k 3.846 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.846 * [taylor]: Taking taylor expansion of k in k 3.863 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.863 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.863 * [taylor]: Taking taylor expansion of 1.0 in k 3.863 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.863 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.863 * [taylor]: Taking taylor expansion of -1 in k 3.863 * [taylor]: Taking taylor expansion of k in k 3.864 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.864 * [taylor]: Taking taylor expansion of 1.0 in k 3.864 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.864 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.864 * [taylor]: Taking taylor expansion of -1 in k 3.864 * [taylor]: Taking taylor expansion of k in k 3.876 * * * [progress]: simplifying candidates 3.880 * [simplify]: Simplifying using # : (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) 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n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.890 * * [simplify]: iteration 0 : 870 enodes (cost 1551 ) 3.903 * * [simplify]: iteration 1 : 3371 enodes (cost 1510 ) 3.942 * * [simplify]: iteration 2 : 5002 enodes (cost 1502 ) 3.950 * [simplify]: Simplified to: (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 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n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) PI PI (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) 1 (pow PI (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (pow (pow PI (/ (- 1.0 k) 2.0)) 3) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 3.951 * * * [progress]: adding candidates to table 4.910 * [progress]: [Phase 3 of 3] Extracting. 4.910 * * [regime]: Finding splitpoints for: (# # # # # # # #) 4.912 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.912 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 4.949 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 4.973 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.006 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.042 * * * [regime]: Found split indices: #