20.997 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.077 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.079 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.080 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.084 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.092 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.118 * * [simplify]: iteration 4 : 299 enodes (cost 16 ) 0.254 * * [simplify]: iteration 5 : 846 enodes (cost 16 ) 1.253 * * [simplify]: iteration 6 : 3058 enodes (cost 16 ) 3.095 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 3.095 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3.095 * * [progress]: iteration 1 / 4 3.095 * * * [progress]: picking best candidate 3.098 * * * * [pick]: Picked # 3.098 * * * [progress]: localizing error 3.110 * * * [progress]: generating rewritten candidates 3.110 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.119 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 3.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.128 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.151 * * * [progress]: generating series expansions 3.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.152 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.152 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.152 * [taylor]: Taking taylor expansion of 0.5 in k 3.152 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.152 * [taylor]: Taking taylor expansion of 1.0 in k 3.152 * [taylor]: Taking taylor expansion of k in k 3.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.152 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.152 * [taylor]: Taking taylor expansion of 2.0 in k 3.152 * [taylor]: Taking taylor expansion of (* n PI) in k 3.152 * [taylor]: Taking taylor expansion of n in k 3.153 * [taylor]: Taking taylor expansion of PI in k 3.157 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.158 * [taylor]: Taking taylor expansion of 0.5 in n 3.158 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.158 * [taylor]: Taking taylor expansion of 1.0 in n 3.158 * [taylor]: Taking taylor expansion of k in n 3.158 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.158 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.158 * [taylor]: Taking taylor expansion of 2.0 in n 3.158 * [taylor]: Taking taylor expansion of (* n PI) in n 3.158 * [taylor]: Taking taylor expansion of n in n 3.158 * [taylor]: Taking taylor expansion of PI in n 3.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.164 * [taylor]: Taking taylor expansion of 0.5 in n 3.164 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.164 * [taylor]: Taking taylor expansion of 1.0 in n 3.164 * [taylor]: Taking taylor expansion of k in n 3.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.164 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.164 * [taylor]: Taking taylor expansion of 2.0 in n 3.164 * [taylor]: Taking taylor expansion of (* n PI) in n 3.164 * [taylor]: Taking taylor expansion of n in n 3.164 * [taylor]: Taking taylor expansion of PI in n 3.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.170 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.170 * [taylor]: Taking taylor expansion of 0.5 in k 3.170 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.170 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.170 * [taylor]: Taking taylor expansion of 1.0 in k 3.170 * [taylor]: Taking taylor expansion of k in k 3.170 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.170 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.170 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.170 * [taylor]: Taking taylor expansion of 2.0 in k 3.170 * [taylor]: Taking taylor expansion of PI in k 3.171 * [taylor]: Taking taylor expansion of (log n) in k 3.171 * [taylor]: Taking taylor expansion of n in k 3.181 * [taylor]: Taking taylor expansion of 0 in k 3.197 * [taylor]: Taking taylor expansion of 0 in k 3.217 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.217 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.217 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.217 * [taylor]: Taking taylor expansion of 0.5 in k 3.217 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.217 * [taylor]: Taking taylor expansion of 1.0 in k 3.217 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.217 * [taylor]: Taking taylor expansion of k in k 3.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.217 * [taylor]: Taking taylor expansion of 2.0 in k 3.217 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.217 * [taylor]: Taking taylor expansion of PI in k 3.217 * [taylor]: Taking taylor expansion of n in k 3.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.218 * [taylor]: Taking taylor expansion of 0.5 in n 3.218 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.218 * [taylor]: Taking taylor expansion of 1.0 in n 3.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.218 * [taylor]: Taking taylor expansion of k in n 3.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.219 * [taylor]: Taking taylor expansion of 2.0 in n 3.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.219 * [taylor]: Taking taylor expansion of PI in n 3.219 * [taylor]: Taking taylor expansion of n in n 3.222 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.222 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.222 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.222 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.222 * [taylor]: Taking taylor expansion of 0.5 in n 3.222 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.222 * [taylor]: Taking taylor expansion of 1.0 in n 3.223 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.223 * [taylor]: Taking taylor expansion of k in n 3.223 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.223 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.223 * [taylor]: Taking taylor expansion of 2.0 in n 3.223 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.223 * [taylor]: Taking taylor expansion of PI in n 3.223 * [taylor]: Taking taylor expansion of n in n 3.226 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.227 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.227 * [taylor]: Taking taylor expansion of 0.5 in k 3.227 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.227 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.227 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.227 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.227 * [taylor]: Taking taylor expansion of 2.0 in k 3.227 * [taylor]: Taking taylor expansion of PI in k 3.228 * [taylor]: Taking taylor expansion of (log n) in k 3.228 * [taylor]: Taking taylor expansion of n in k 3.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.228 * [taylor]: Taking taylor expansion of 1.0 in k 3.228 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.228 * [taylor]: Taking taylor expansion of k in k 3.238 * [taylor]: Taking taylor expansion of 0 in k 3.251 * [taylor]: Taking taylor expansion of 0 in k 3.260 * [taylor]: Taking taylor expansion of 0 in k 3.261 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.261 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.262 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.262 * [taylor]: Taking taylor expansion of 0.5 in k 3.262 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.262 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.262 * [taylor]: Taking taylor expansion of k in k 3.262 * [taylor]: Taking taylor expansion of 1.0 in k 3.262 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.262 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.262 * [taylor]: Taking taylor expansion of -2.0 in k 3.262 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.262 * [taylor]: Taking taylor expansion of PI in k 3.262 * [taylor]: Taking taylor expansion of n in k 3.263 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.263 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.263 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.263 * [taylor]: Taking taylor expansion of 0.5 in n 3.263 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.263 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.263 * [taylor]: Taking taylor expansion of k in n 3.263 * [taylor]: Taking taylor expansion of 1.0 in n 3.263 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.263 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.263 * [taylor]: Taking taylor expansion of -2.0 in n 3.263 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.263 * [taylor]: Taking taylor expansion of PI in n 3.263 * [taylor]: Taking taylor expansion of n in n 3.267 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.267 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.267 * [taylor]: Taking taylor expansion of 0.5 in n 3.267 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.267 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.267 * [taylor]: Taking taylor expansion of k in n 3.267 * [taylor]: Taking taylor expansion of 1.0 in n 3.267 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.267 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.267 * [taylor]: Taking taylor expansion of -2.0 in n 3.267 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.267 * [taylor]: Taking taylor expansion of PI in n 3.267 * [taylor]: Taking taylor expansion of n in n 3.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.271 * [taylor]: Taking taylor expansion of 0.5 in k 3.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.271 * [taylor]: Taking taylor expansion of k in k 3.271 * [taylor]: Taking taylor expansion of 1.0 in k 3.271 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.271 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.271 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.271 * [taylor]: Taking taylor expansion of -2.0 in k 3.271 * [taylor]: Taking taylor expansion of PI in k 3.272 * [taylor]: Taking taylor expansion of (log n) in k 3.272 * [taylor]: Taking taylor expansion of n in k 3.281 * [taylor]: Taking taylor expansion of 0 in k 3.288 * [taylor]: Taking taylor expansion of 0 in k 3.298 * [taylor]: Taking taylor expansion of 0 in k 3.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.299 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.299 * [taylor]: Taking taylor expansion of 2.0 in n 3.299 * [taylor]: Taking taylor expansion of (* n PI) in n 3.299 * [taylor]: Taking taylor expansion of n in n 3.299 * [taylor]: Taking taylor expansion of PI in n 3.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.299 * [taylor]: Taking taylor expansion of 2.0 in n 3.299 * [taylor]: Taking taylor expansion of (* n PI) in n 3.299 * [taylor]: Taking taylor expansion of n in n 3.299 * [taylor]: Taking taylor expansion of PI in n 3.311 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.312 * [taylor]: Taking taylor expansion of 2.0 in n 3.312 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.312 * [taylor]: Taking taylor expansion of PI in n 3.312 * [taylor]: Taking taylor expansion of n in n 3.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.312 * [taylor]: Taking taylor expansion of 2.0 in n 3.312 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.312 * [taylor]: Taking taylor expansion of PI in n 3.312 * [taylor]: Taking taylor expansion of n in n 3.321 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.321 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.321 * [taylor]: Taking taylor expansion of -2.0 in n 3.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.321 * [taylor]: Taking taylor expansion of PI in n 3.321 * [taylor]: Taking taylor expansion of n in n 3.322 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.322 * [taylor]: Taking taylor expansion of -2.0 in n 3.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.322 * [taylor]: Taking taylor expansion of PI in n 3.322 * [taylor]: Taking taylor expansion of n in n 3.336 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.336 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.336 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.336 * [taylor]: Taking taylor expansion of 1.0 in k 3.336 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.336 * [taylor]: Taking taylor expansion of k in k 3.337 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.337 * [taylor]: Taking taylor expansion of 1.0 in k 3.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.337 * [taylor]: Taking taylor expansion of k in k 3.349 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.349 * [taylor]: Taking taylor expansion of 1.0 in k 3.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.349 * [taylor]: Taking taylor expansion of k in k 3.350 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.350 * [taylor]: Taking taylor expansion of 1.0 in k 3.350 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.350 * [taylor]: Taking taylor expansion of k in k 3.361 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.361 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.361 * [taylor]: Taking taylor expansion of 1.0 in k 3.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.361 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.361 * [taylor]: Taking taylor expansion of -1 in k 3.361 * [taylor]: Taking taylor expansion of k in k 3.362 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.362 * [taylor]: Taking taylor expansion of 1.0 in k 3.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.362 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.362 * [taylor]: Taking taylor expansion of -1 in k 3.362 * [taylor]: Taking taylor expansion of k in k 3.374 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.375 * [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 3.375 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 3.375 * [taylor]: Taking taylor expansion of 1.0 in n 3.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 3.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.375 * [taylor]: Taking taylor expansion of k in n 3.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.375 * [taylor]: Taking taylor expansion of 0.5 in n 3.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.375 * [taylor]: Taking taylor expansion of 1.0 in n 3.375 * [taylor]: Taking taylor expansion of k in n 3.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.375 * [taylor]: Taking taylor expansion of 2.0 in n 3.375 * [taylor]: Taking taylor expansion of (* n PI) in n 3.375 * [taylor]: Taking taylor expansion of n in n 3.375 * [taylor]: Taking taylor expansion of PI in n 3.381 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.381 * [taylor]: Taking taylor expansion of 1.0 in k 3.381 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.381 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.381 * [taylor]: Taking taylor expansion of k in k 3.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.382 * [taylor]: Taking taylor expansion of 0.5 in k 3.382 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.382 * [taylor]: Taking taylor expansion of 1.0 in k 3.382 * [taylor]: Taking taylor expansion of k in k 3.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.382 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.382 * [taylor]: Taking taylor expansion of 2.0 in k 3.382 * [taylor]: Taking taylor expansion of (* n PI) in k 3.382 * [taylor]: Taking taylor expansion of n in k 3.382 * [taylor]: Taking taylor expansion of PI in k 3.383 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 3.383 * [taylor]: Taking taylor expansion of 1.0 in k 3.383 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 3.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.383 * [taylor]: Taking taylor expansion of k in k 3.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.385 * [taylor]: Taking taylor expansion of 0.5 in k 3.385 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.385 * [taylor]: Taking taylor expansion of 1.0 in k 3.385 * [taylor]: Taking taylor expansion of k in k 3.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.385 * [taylor]: Taking taylor expansion of 2.0 in k 3.385 * [taylor]: Taking taylor expansion of (* n PI) in k 3.385 * [taylor]: Taking taylor expansion of n in k 3.385 * [taylor]: Taking taylor expansion of PI in k 3.387 * [taylor]: Taking taylor expansion of 0 in n 3.392 * [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 3.392 * [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 3.392 * [taylor]: Taking taylor expansion of +nan.0 in n 3.392 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.392 * [taylor]: Taking taylor expansion of 0.5 in n 3.392 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.392 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.392 * [taylor]: Taking taylor expansion of 1.0 in n 3.392 * [taylor]: Taking taylor expansion of (log PI) in n 3.392 * [taylor]: Taking taylor expansion of PI in n 3.394 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.394 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.394 * [taylor]: Taking taylor expansion of 1.0 in n 3.394 * [taylor]: Taking taylor expansion of (log n) in n 3.394 * [taylor]: Taking taylor expansion of n in n 3.395 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.395 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.395 * [taylor]: Taking taylor expansion of 1.0 in n 3.395 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.395 * [taylor]: Taking taylor expansion of 2.0 in n 3.415 * [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 3.415 * [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 3.415 * [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 3.415 * [taylor]: Taking taylor expansion of +nan.0 in n 3.415 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.415 * [taylor]: Taking taylor expansion of 0.5 in n 3.415 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.415 * [taylor]: Taking taylor expansion of 1.0 in n 3.415 * [taylor]: Taking taylor expansion of (log PI) in n 3.415 * [taylor]: Taking taylor expansion of PI in n 3.417 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.417 * [taylor]: Taking taylor expansion of 1.0 in n 3.417 * [taylor]: Taking taylor expansion of (log n) in n 3.417 * [taylor]: Taking taylor expansion of n in n 3.417 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.418 * [taylor]: Taking taylor expansion of 1.0 in n 3.418 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.418 * [taylor]: Taking taylor expansion of 2.0 in n 3.429 * [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 3.429 * [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 3.429 * [taylor]: Taking taylor expansion of +nan.0 in n 3.429 * [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 3.429 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.429 * [taylor]: Taking taylor expansion of 0.5 in n 3.429 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.429 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.429 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.429 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.429 * [taylor]: Taking taylor expansion of 1.0 in n 3.429 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.429 * [taylor]: Taking taylor expansion of 2.0 in n 3.431 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.431 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.431 * [taylor]: Taking taylor expansion of 1.0 in n 3.431 * [taylor]: Taking taylor expansion of (log PI) in n 3.431 * [taylor]: Taking taylor expansion of PI in n 3.433 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.433 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.433 * [taylor]: Taking taylor expansion of 1.0 in n 3.433 * [taylor]: Taking taylor expansion of (log n) in n 3.433 * [taylor]: Taking taylor expansion of n in n 3.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.437 * [taylor]: Taking taylor expansion of 2.0 in n 3.438 * [taylor]: Taking taylor expansion of (* n PI) in n 3.438 * [taylor]: Taking taylor expansion of n in n 3.438 * [taylor]: Taking taylor expansion of PI in n 3.488 * [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 3.488 * [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 3.488 * [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 3.488 * [taylor]: Taking taylor expansion of +nan.0 in n 3.488 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.488 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.488 * [taylor]: Taking taylor expansion of 0.5 in n 3.488 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.488 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.488 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.488 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.488 * [taylor]: Taking taylor expansion of 1.0 in n 3.488 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.488 * [taylor]: Taking taylor expansion of 2.0 in n 3.490 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.490 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.490 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.490 * [taylor]: Taking taylor expansion of 1.0 in n 3.490 * [taylor]: Taking taylor expansion of (log n) in n 3.490 * [taylor]: Taking taylor expansion of n in n 3.491 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.491 * [taylor]: Taking taylor expansion of 1.0 in n 3.491 * [taylor]: Taking taylor expansion of (log PI) in n 3.491 * [taylor]: Taking taylor expansion of PI in n 3.497 * [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 3.497 * [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 3.497 * [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 3.497 * [taylor]: Taking taylor expansion of +nan.0 in n 3.497 * [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 3.497 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.497 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.497 * [taylor]: Taking taylor expansion of 0.5 in n 3.497 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.497 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.497 * [taylor]: Taking taylor expansion of 1.0 in n 3.497 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.497 * [taylor]: Taking taylor expansion of 2.0 in n 3.499 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.499 * [taylor]: Taking taylor expansion of 1.0 in n 3.499 * [taylor]: Taking taylor expansion of (log PI) in n 3.499 * [taylor]: Taking taylor expansion of PI in n 3.501 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.501 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.501 * [taylor]: Taking taylor expansion of 1.0 in n 3.501 * [taylor]: Taking taylor expansion of (log n) in n 3.501 * [taylor]: Taking taylor expansion of n in n 3.505 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.505 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.505 * [taylor]: Taking taylor expansion of 2.0 in n 3.505 * [taylor]: Taking taylor expansion of (* n PI) in n 3.505 * [taylor]: Taking taylor expansion of n in n 3.505 * [taylor]: Taking taylor expansion of PI in n 3.508 * [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 3.508 * [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 3.508 * [taylor]: Taking taylor expansion of +nan.0 in n 3.508 * [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 3.508 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.508 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.508 * [taylor]: Taking taylor expansion of 0.5 in n 3.508 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.508 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.508 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.509 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.509 * [taylor]: Taking taylor expansion of 1.0 in n 3.509 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.509 * [taylor]: Taking taylor expansion of 2.0 in n 3.510 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.510 * [taylor]: Taking taylor expansion of 1.0 in n 3.510 * [taylor]: Taking taylor expansion of (log PI) in n 3.510 * [taylor]: Taking taylor expansion of PI in n 3.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.518 * [taylor]: Taking taylor expansion of 1.0 in n 3.518 * [taylor]: Taking taylor expansion of (log n) in n 3.518 * [taylor]: Taking taylor expansion of n in n 3.522 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.522 * [taylor]: Taking taylor expansion of 2.0 in n 3.522 * [taylor]: Taking taylor expansion of (* n PI) in n 3.522 * [taylor]: Taking taylor expansion of n in n 3.522 * [taylor]: Taking taylor expansion of PI in n 3.597 * [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 3.597 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.597 * [taylor]: Taking taylor expansion of 1.0 in n 3.597 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.597 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.597 * [taylor]: Taking taylor expansion of k in n 3.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.597 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.597 * [taylor]: Taking taylor expansion of 0.5 in n 3.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.597 * [taylor]: Taking taylor expansion of 1.0 in n 3.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.597 * [taylor]: Taking taylor expansion of k in n 3.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.597 * [taylor]: Taking taylor expansion of 2.0 in n 3.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.597 * [taylor]: Taking taylor expansion of PI in n 3.597 * [taylor]: Taking taylor expansion of n in n 3.606 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.606 * [taylor]: Taking taylor expansion of 1.0 in k 3.606 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.606 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.606 * [taylor]: Taking taylor expansion of k in k 3.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.607 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.607 * [taylor]: Taking taylor expansion of 0.5 in k 3.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.607 * [taylor]: Taking taylor expansion of 1.0 in k 3.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.607 * [taylor]: Taking taylor expansion of k in k 3.608 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.608 * [taylor]: Taking taylor expansion of 2.0 in k 3.608 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.608 * [taylor]: Taking taylor expansion of PI in k 3.608 * [taylor]: Taking taylor expansion of n in k 3.609 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.609 * [taylor]: Taking taylor expansion of 1.0 in k 3.609 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.609 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.609 * [taylor]: Taking taylor expansion of k in k 3.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.610 * [taylor]: Taking taylor expansion of 0.5 in k 3.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.610 * [taylor]: Taking taylor expansion of 1.0 in k 3.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.610 * [taylor]: Taking taylor expansion of k in k 3.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.610 * [taylor]: Taking taylor expansion of 2.0 in k 3.610 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.610 * [taylor]: Taking taylor expansion of PI in k 3.610 * [taylor]: Taking taylor expansion of n in k 3.612 * [taylor]: Taking taylor expansion of 0 in n 3.613 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.613 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.613 * [taylor]: Taking taylor expansion of +nan.0 in n 3.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.613 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.613 * [taylor]: Taking taylor expansion of 0.5 in n 3.613 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.613 * [taylor]: Taking taylor expansion of 2.0 in n 3.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.613 * [taylor]: Taking taylor expansion of PI in n 3.613 * [taylor]: Taking taylor expansion of n in n 3.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.614 * [taylor]: Taking taylor expansion of 1.0 in n 3.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.614 * [taylor]: Taking taylor expansion of k in n 3.623 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.623 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.623 * [taylor]: Taking taylor expansion of +nan.0 in n 3.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.623 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.623 * [taylor]: Taking taylor expansion of 0.5 in n 3.623 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.623 * [taylor]: Taking taylor expansion of 2.0 in n 3.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.623 * [taylor]: Taking taylor expansion of PI in n 3.623 * [taylor]: Taking taylor expansion of n in n 3.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.624 * [taylor]: Taking taylor expansion of 1.0 in n 3.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.624 * [taylor]: Taking taylor expansion of k in n 3.641 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.641 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.642 * [taylor]: Taking taylor expansion of +nan.0 in n 3.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.642 * [taylor]: Taking taylor expansion of 0.5 in n 3.642 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.642 * [taylor]: Taking taylor expansion of 2.0 in n 3.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.642 * [taylor]: Taking taylor expansion of PI in n 3.642 * [taylor]: Taking taylor expansion of n in n 3.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.643 * [taylor]: Taking taylor expansion of 1.0 in n 3.643 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.643 * [taylor]: Taking taylor expansion of k in n 3.652 * [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 3.652 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.652 * [taylor]: Taking taylor expansion of 1.0 in n 3.652 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.652 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.652 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.652 * [taylor]: Taking taylor expansion of 0.5 in n 3.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.652 * [taylor]: Taking taylor expansion of k in n 3.652 * [taylor]: Taking taylor expansion of 1.0 in n 3.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.653 * [taylor]: Taking taylor expansion of -2.0 in n 3.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.653 * [taylor]: Taking taylor expansion of PI in n 3.653 * [taylor]: Taking taylor expansion of n in n 3.656 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.656 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.656 * [taylor]: Taking taylor expansion of -1 in n 3.656 * [taylor]: Taking taylor expansion of k in n 3.657 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.657 * [taylor]: Taking taylor expansion of 1.0 in k 3.657 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.657 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.657 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.657 * [taylor]: Taking taylor expansion of 0.5 in k 3.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.658 * [taylor]: Taking taylor expansion of k in k 3.658 * [taylor]: Taking taylor expansion of 1.0 in k 3.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.658 * [taylor]: Taking taylor expansion of -2.0 in k 3.658 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.658 * [taylor]: Taking taylor expansion of PI in k 3.658 * [taylor]: Taking taylor expansion of n in k 3.659 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.659 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.659 * [taylor]: Taking taylor expansion of -1 in k 3.659 * [taylor]: Taking taylor expansion of k in k 3.660 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.660 * [taylor]: Taking taylor expansion of 1.0 in k 3.660 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.660 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.660 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.660 * [taylor]: Taking taylor expansion of 0.5 in k 3.660 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.660 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.661 * [taylor]: Taking taylor expansion of k in k 3.661 * [taylor]: Taking taylor expansion of 1.0 in k 3.661 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.661 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.661 * [taylor]: Taking taylor expansion of -2.0 in k 3.661 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.661 * [taylor]: Taking taylor expansion of PI in k 3.661 * [taylor]: Taking taylor expansion of n in k 3.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.662 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.662 * [taylor]: Taking taylor expansion of -1 in k 3.662 * [taylor]: Taking taylor expansion of k in k 3.663 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.663 * [taylor]: Taking taylor expansion of +nan.0 in n 3.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.663 * [taylor]: Taking taylor expansion of 0.5 in n 3.663 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.664 * [taylor]: Taking taylor expansion of k in n 3.664 * [taylor]: Taking taylor expansion of 1.0 in n 3.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.664 * [taylor]: Taking taylor expansion of -2.0 in n 3.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.664 * [taylor]: Taking taylor expansion of PI in n 3.664 * [taylor]: Taking taylor expansion of n in n 3.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.673 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.673 * [taylor]: Taking taylor expansion of +nan.0 in n 3.673 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.673 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.673 * [taylor]: Taking taylor expansion of 0.5 in n 3.673 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in n 3.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.673 * [taylor]: Taking taylor expansion of -2.0 in n 3.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.673 * [taylor]: Taking taylor expansion of PI in n 3.673 * [taylor]: Taking taylor expansion of n in n 3.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.692 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.692 * [taylor]: Taking taylor expansion of +nan.0 in n 3.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.692 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.692 * [taylor]: Taking taylor expansion of 0.5 in n 3.692 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.692 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.692 * [taylor]: Taking taylor expansion of k in n 3.692 * [taylor]: Taking taylor expansion of 1.0 in n 3.692 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.692 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.692 * [taylor]: Taking taylor expansion of -2.0 in n 3.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.692 * [taylor]: Taking taylor expansion of PI in n 3.692 * [taylor]: Taking taylor expansion of n in n 3.708 * * * [progress]: simplifying candidates 3.710 * [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)) (* (* 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 (/ 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) (+ (- (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) 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n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (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))) (* (/ (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 (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.5 k) (+ (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (- (- (* +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)) (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) (* +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 (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k))) (* +nan.0 (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 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))) 4.869 * * * [progress]: adding candidates to table 5.269 * * [progress]: iteration 2 / 4 5.269 * * * [progress]: picking best candidate 5.296 * * * * [pick]: Picked # 5.296 * * * [progress]: localizing error 5.311 * * * [progress]: generating rewritten candidates 5.311 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.324 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.340 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 5.346 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.363 * * * [progress]: generating series expansions 5.363 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.363 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.364 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.364 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.364 * [taylor]: Taking taylor expansion of 0.25 in k 5.364 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.364 * [taylor]: Taking taylor expansion of 1.0 in k 5.364 * [taylor]: Taking taylor expansion of k in k 5.364 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.364 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.364 * [taylor]: Taking taylor expansion of 2.0 in k 5.364 * [taylor]: Taking taylor expansion of (* n PI) in k 5.364 * [taylor]: Taking taylor expansion of n in k 5.364 * [taylor]: Taking taylor expansion of PI in k 5.365 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.365 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.365 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.365 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.365 * [taylor]: Taking taylor expansion of 0.25 in n 5.365 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.365 * [taylor]: Taking taylor expansion of 1.0 in n 5.365 * [taylor]: Taking taylor expansion of k in n 5.365 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.365 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.365 * [taylor]: Taking taylor expansion of 2.0 in n 5.365 * [taylor]: Taking taylor expansion of (* n PI) in n 5.365 * [taylor]: Taking taylor expansion of n in n 5.365 * [taylor]: Taking taylor expansion of PI in n 5.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.371 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.371 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.371 * [taylor]: Taking taylor expansion of 0.25 in n 5.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.371 * [taylor]: Taking taylor expansion of 1.0 in n 5.371 * [taylor]: Taking taylor expansion of k in n 5.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.371 * [taylor]: Taking taylor expansion of 2.0 in n 5.371 * [taylor]: Taking taylor expansion of (* n PI) in n 5.371 * [taylor]: Taking taylor expansion of n in n 5.371 * [taylor]: Taking taylor expansion of PI in n 5.376 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.377 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.377 * [taylor]: Taking taylor expansion of 0.25 in k 5.377 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.377 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.377 * [taylor]: Taking taylor expansion of 1.0 in k 5.377 * [taylor]: Taking taylor expansion of k in k 5.377 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.377 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.377 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.377 * [taylor]: Taking taylor expansion of 2.0 in k 5.377 * [taylor]: Taking taylor expansion of PI in k 5.378 * [taylor]: Taking taylor expansion of (log n) in k 5.378 * [taylor]: Taking taylor expansion of n in k 5.387 * [taylor]: Taking taylor expansion of 0 in k 5.404 * [taylor]: Taking taylor expansion of 0 in k 5.429 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.429 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.429 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.429 * [taylor]: Taking taylor expansion of 0.25 in k 5.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.429 * [taylor]: Taking taylor expansion of 1.0 in k 5.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.429 * [taylor]: Taking taylor expansion of k in k 5.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.430 * [taylor]: Taking taylor expansion of 2.0 in k 5.430 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.430 * [taylor]: Taking taylor expansion of PI in k 5.430 * [taylor]: Taking taylor expansion of n in k 5.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.431 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.431 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.431 * [taylor]: Taking taylor expansion of 0.25 in n 5.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.431 * [taylor]: Taking taylor expansion of 1.0 in n 5.431 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.431 * [taylor]: Taking taylor expansion of k in n 5.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.431 * [taylor]: Taking taylor expansion of 2.0 in n 5.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.431 * [taylor]: Taking taylor expansion of PI in n 5.431 * [taylor]: Taking taylor expansion of n in n 5.435 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.435 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.435 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.435 * [taylor]: Taking taylor expansion of 0.25 in n 5.435 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.435 * [taylor]: Taking taylor expansion of 1.0 in n 5.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.435 * [taylor]: Taking taylor expansion of k in n 5.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.435 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.435 * [taylor]: Taking taylor expansion of 2.0 in n 5.435 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.435 * [taylor]: Taking taylor expansion of PI in n 5.435 * [taylor]: Taking taylor expansion of n in n 5.439 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.439 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.439 * [taylor]: Taking taylor expansion of 0.25 in k 5.439 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.439 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.439 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.439 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.439 * [taylor]: Taking taylor expansion of 2.0 in k 5.439 * [taylor]: Taking taylor expansion of PI in k 5.440 * [taylor]: Taking taylor expansion of (log n) in k 5.440 * [taylor]: Taking taylor expansion of n in k 5.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.440 * [taylor]: Taking taylor expansion of 1.0 in k 5.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.440 * [taylor]: Taking taylor expansion of k in k 5.450 * [taylor]: Taking taylor expansion of 0 in k 5.458 * [taylor]: Taking taylor expansion of 0 in k 5.467 * [taylor]: Taking taylor expansion of 0 in k 5.468 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.468 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.468 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.468 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.468 * [taylor]: Taking taylor expansion of 0.25 in k 5.468 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.468 * [taylor]: Taking taylor expansion of k in k 5.469 * [taylor]: Taking taylor expansion of 1.0 in k 5.469 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.469 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.469 * [taylor]: Taking taylor expansion of -2.0 in k 5.469 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.469 * [taylor]: Taking taylor expansion of PI in k 5.469 * [taylor]: Taking taylor expansion of n in k 5.470 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.470 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.470 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.470 * [taylor]: Taking taylor expansion of 0.25 in n 5.470 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.470 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.470 * [taylor]: Taking taylor expansion of k in n 5.470 * [taylor]: Taking taylor expansion of 1.0 in n 5.470 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.470 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.470 * [taylor]: Taking taylor expansion of -2.0 in n 5.470 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.470 * [taylor]: Taking taylor expansion of PI in n 5.470 * [taylor]: Taking taylor expansion of n in n 5.474 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.474 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.474 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.474 * [taylor]: Taking taylor expansion of 0.25 in n 5.474 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.474 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.474 * [taylor]: Taking taylor expansion of k in n 5.474 * [taylor]: Taking taylor expansion of 1.0 in n 5.474 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.474 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.474 * [taylor]: Taking taylor expansion of -2.0 in n 5.474 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.474 * [taylor]: Taking taylor expansion of PI in n 5.474 * [taylor]: Taking taylor expansion of n in n 5.478 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.478 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.478 * [taylor]: Taking taylor expansion of 0.25 in k 5.478 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.478 * [taylor]: Taking taylor expansion of k in k 5.478 * [taylor]: Taking taylor expansion of 1.0 in k 5.478 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.478 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.478 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.478 * [taylor]: Taking taylor expansion of -2.0 in k 5.478 * [taylor]: Taking taylor expansion of PI in k 5.479 * [taylor]: Taking taylor expansion of (log n) in k 5.479 * [taylor]: Taking taylor expansion of n in k 5.489 * [taylor]: Taking taylor expansion of 0 in k 5.496 * [taylor]: Taking taylor expansion of 0 in k 5.510 * [taylor]: Taking taylor expansion of 0 in k 5.511 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.512 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 5.512 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 5.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.512 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.512 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 5.512 * [taylor]: Taking taylor expansion of 0.25 in k 5.512 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.512 * [taylor]: Taking taylor expansion of 1.0 in k 5.512 * [taylor]: Taking taylor expansion of k in k 5.512 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.512 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.512 * [taylor]: Taking taylor expansion of 2.0 in k 5.512 * [taylor]: Taking taylor expansion of (* n PI) in k 5.512 * [taylor]: Taking taylor expansion of n in k 5.512 * [taylor]: Taking taylor expansion of PI in k 5.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.513 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.513 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.513 * [taylor]: Taking taylor expansion of 0.25 in n 5.513 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.513 * [taylor]: Taking taylor expansion of 1.0 in n 5.513 * [taylor]: Taking taylor expansion of k in n 5.513 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.513 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.513 * [taylor]: Taking taylor expansion of 2.0 in n 5.513 * [taylor]: Taking taylor expansion of (* n PI) in n 5.513 * [taylor]: Taking taylor expansion of n in n 5.513 * [taylor]: Taking taylor expansion of PI in n 5.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 5.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.519 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.519 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 5.519 * [taylor]: Taking taylor expansion of 0.25 in n 5.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.519 * [taylor]: Taking taylor expansion of 1.0 in n 5.519 * [taylor]: Taking taylor expansion of k in n 5.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.519 * [taylor]: Taking taylor expansion of 2.0 in n 5.519 * [taylor]: Taking taylor expansion of (* n PI) in n 5.519 * [taylor]: Taking taylor expansion of n in n 5.519 * [taylor]: Taking taylor expansion of PI in n 5.525 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.525 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.525 * [taylor]: Taking taylor expansion of 0.25 in k 5.525 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.525 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.525 * [taylor]: Taking taylor expansion of 1.0 in k 5.525 * [taylor]: Taking taylor expansion of k in k 5.525 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.525 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.525 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.526 * [taylor]: Taking taylor expansion of 2.0 in k 5.526 * [taylor]: Taking taylor expansion of PI in k 5.527 * [taylor]: Taking taylor expansion of (log n) in k 5.527 * [taylor]: Taking taylor expansion of n in k 5.536 * [taylor]: Taking taylor expansion of 0 in k 5.552 * [taylor]: Taking taylor expansion of 0 in k 5.571 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 5.571 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 5.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.572 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.572 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 5.572 * [taylor]: Taking taylor expansion of 0.25 in k 5.572 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.572 * [taylor]: Taking taylor expansion of 1.0 in k 5.572 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.572 * [taylor]: Taking taylor expansion of k in k 5.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.572 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.572 * [taylor]: Taking taylor expansion of 2.0 in k 5.572 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.572 * [taylor]: Taking taylor expansion of PI in k 5.572 * [taylor]: Taking taylor expansion of n in k 5.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.573 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.573 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.573 * [taylor]: Taking taylor expansion of 0.25 in n 5.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.573 * [taylor]: Taking taylor expansion of 1.0 in n 5.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.573 * [taylor]: Taking taylor expansion of k in n 5.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.573 * [taylor]: Taking taylor expansion of 2.0 in n 5.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.573 * [taylor]: Taking taylor expansion of PI in n 5.573 * [taylor]: Taking taylor expansion of n in n 5.577 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 5.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.577 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.577 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 5.577 * [taylor]: Taking taylor expansion of 0.25 in n 5.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.577 * [taylor]: Taking taylor expansion of 1.0 in n 5.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.577 * [taylor]: Taking taylor expansion of k in n 5.577 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.577 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.577 * [taylor]: Taking taylor expansion of 2.0 in n 5.577 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.577 * [taylor]: Taking taylor expansion of PI in n 5.578 * [taylor]: Taking taylor expansion of n in n 5.581 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.581 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.581 * [taylor]: Taking taylor expansion of 0.25 in k 5.581 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.581 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.581 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.581 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.581 * [taylor]: Taking taylor expansion of 2.0 in k 5.581 * [taylor]: Taking taylor expansion of PI in k 5.582 * [taylor]: Taking taylor expansion of (log n) in k 5.582 * [taylor]: Taking taylor expansion of n in k 5.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.582 * [taylor]: Taking taylor expansion of 1.0 in k 5.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.583 * [taylor]: Taking taylor expansion of k in k 5.598 * [taylor]: Taking taylor expansion of 0 in k 5.605 * [taylor]: Taking taylor expansion of 0 in k 5.614 * [taylor]: Taking taylor expansion of 0 in k 5.616 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 5.616 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 5.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.616 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.616 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 5.616 * [taylor]: Taking taylor expansion of 0.25 in k 5.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.616 * [taylor]: Taking taylor expansion of k in k 5.616 * [taylor]: Taking taylor expansion of 1.0 in k 5.616 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.616 * [taylor]: Taking taylor expansion of -2.0 in k 5.616 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.616 * [taylor]: Taking taylor expansion of PI in k 5.616 * [taylor]: Taking taylor expansion of n in k 5.617 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.617 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.617 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.617 * [taylor]: Taking taylor expansion of 0.25 in n 5.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.617 * [taylor]: Taking taylor expansion of k in n 5.617 * [taylor]: Taking taylor expansion of 1.0 in n 5.617 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.617 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.617 * [taylor]: Taking taylor expansion of -2.0 in n 5.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.618 * [taylor]: Taking taylor expansion of PI in n 5.618 * [taylor]: Taking taylor expansion of n in n 5.621 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 5.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.621 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.621 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 5.621 * [taylor]: Taking taylor expansion of 0.25 in n 5.621 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.621 * [taylor]: Taking taylor expansion of k in n 5.621 * [taylor]: Taking taylor expansion of 1.0 in n 5.621 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.621 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.621 * [taylor]: Taking taylor expansion of -2.0 in n 5.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.622 * [taylor]: Taking taylor expansion of PI in n 5.622 * [taylor]: Taking taylor expansion of n in n 5.626 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.626 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.626 * [taylor]: Taking taylor expansion of 0.25 in k 5.626 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.626 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.626 * [taylor]: Taking taylor expansion of k in k 5.626 * [taylor]: Taking taylor expansion of 1.0 in k 5.626 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.626 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.626 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.626 * [taylor]: Taking taylor expansion of -2.0 in k 5.626 * [taylor]: Taking taylor expansion of PI in k 5.627 * [taylor]: Taking taylor expansion of (log n) in k 5.627 * [taylor]: Taking taylor expansion of n in k 5.636 * [taylor]: Taking taylor expansion of 0 in k 5.643 * [taylor]: Taking taylor expansion of 0 in k 5.653 * [taylor]: Taking taylor expansion of 0 in k 5.654 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 5.654 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.654 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.654 * [taylor]: Taking taylor expansion of 2.0 in n 5.654 * [taylor]: Taking taylor expansion of (* n PI) in n 5.654 * [taylor]: Taking taylor expansion of n in n 5.654 * [taylor]: Taking taylor expansion of PI in n 5.654 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.654 * [taylor]: Taking taylor expansion of 2.0 in n 5.654 * [taylor]: Taking taylor expansion of (* n PI) in n 5.654 * [taylor]: Taking taylor expansion of n in n 5.654 * [taylor]: Taking taylor expansion of PI in n 5.667 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.667 * [taylor]: Taking taylor expansion of 2.0 in n 5.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.667 * [taylor]: Taking taylor expansion of PI in n 5.667 * [taylor]: Taking taylor expansion of n in n 5.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.667 * [taylor]: Taking taylor expansion of 2.0 in n 5.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.667 * [taylor]: Taking taylor expansion of PI in n 5.667 * [taylor]: Taking taylor expansion of n in n 5.677 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.677 * [taylor]: Taking taylor expansion of -2.0 in n 5.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.677 * [taylor]: Taking taylor expansion of PI in n 5.677 * [taylor]: Taking taylor expansion of n in n 5.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.677 * [taylor]: Taking taylor expansion of -2.0 in n 5.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.677 * [taylor]: Taking taylor expansion of PI in n 5.677 * [taylor]: Taking taylor expansion of n in n 5.692 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.692 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.692 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.692 * [taylor]: Taking taylor expansion of 2.0 in n 5.692 * [taylor]: Taking taylor expansion of (* n PI) in n 5.692 * [taylor]: Taking taylor expansion of n in n 5.692 * [taylor]: Taking taylor expansion of PI in n 5.692 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.692 * [taylor]: Taking taylor expansion of 2.0 in n 5.692 * [taylor]: Taking taylor expansion of (* n PI) in n 5.692 * [taylor]: Taking taylor expansion of n in n 5.692 * [taylor]: Taking taylor expansion of PI in n 5.705 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.706 * [taylor]: Taking taylor expansion of 2.0 in n 5.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.706 * [taylor]: Taking taylor expansion of PI in n 5.706 * [taylor]: Taking taylor expansion of n in n 5.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.706 * [taylor]: Taking taylor expansion of 2.0 in n 5.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.706 * [taylor]: Taking taylor expansion of PI in n 5.706 * [taylor]: Taking taylor expansion of n in n 5.715 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.715 * [taylor]: Taking taylor expansion of -2.0 in n 5.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.715 * [taylor]: Taking taylor expansion of PI in n 5.715 * [taylor]: Taking taylor expansion of n in n 5.716 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.716 * [taylor]: Taking taylor expansion of -2.0 in n 5.716 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.716 * [taylor]: Taking taylor expansion of PI in n 5.716 * [taylor]: Taking taylor expansion of n in n 5.724 * * * [progress]: simplifying candidates 5.727 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* 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(/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* n PI) 2.0) (- 1.0 k)) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (pow (* (* n PI) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (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) (* n PI) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (pow (* (* n PI) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (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) (* n PI) (- (+ (+ (* (* (* 0.03125 (pow k 2)) (pow (log n) 2)) (pow (* (* n PI) 2.0) 0.25)) (* (* (* 0.0625 (pow k 2)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))) (log n))) (+ (pow (* (* n PI) 2.0) 0.25) (* 0.03125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (* n PI) 2.0) 0.25))))) (* (* 0.25 k) (+ (* (log n) (pow (* (* n PI) 2.0) 0.25)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))))) (pow (pow (* (* n PI) 2.0) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (+ (* (* (* 0.03125 (pow k 2)) (pow (log n) 2)) (pow (* (* n PI) 2.0) 0.25)) (* (* (* 0.0625 (pow k 2)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))) (log n))) (+ (pow (* (* n PI) 2.0) 0.25) (* 0.03125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (* n PI) 2.0) 0.25))))) (* (* 0.25 k) (+ (* (log n) (pow (* (* n PI) 2.0) 0.25)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))))) (pow (pow (* (* n PI) 2.0) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) 6.915 * * * [progress]: adding candidates to table 7.584 * * [progress]: iteration 3 / 4 7.584 * * * [progress]: picking best candidate 7.610 * * * * [pick]: Picked # 7.610 * * * [progress]: localizing error 7.631 * * * [progress]: generating rewritten candidates 7.632 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 7.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2) 7.655 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 7.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 7.675 * * * [progress]: generating series expansions 7.675 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 7.676 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 7.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 7.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.676 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.676 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 7.676 * [taylor]: Taking taylor expansion of 0.25 in k 7.676 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.676 * [taylor]: Taking taylor expansion of 1.0 in k 7.676 * [taylor]: Taking taylor expansion of k in k 7.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.676 * [taylor]: Taking taylor expansion of 2.0 in k 7.676 * [taylor]: Taking taylor expansion of (* n PI) in k 7.676 * [taylor]: Taking taylor expansion of n in k 7.676 * [taylor]: Taking taylor expansion of PI in k 7.677 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 7.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.677 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.677 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 7.677 * [taylor]: Taking taylor expansion of 0.25 in n 7.677 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.677 * [taylor]: Taking taylor expansion of 1.0 in n 7.677 * [taylor]: Taking taylor expansion of k in n 7.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.677 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.677 * [taylor]: Taking taylor expansion of 2.0 in n 7.677 * [taylor]: Taking taylor expansion of (* n PI) in n 7.677 * [taylor]: Taking taylor expansion of n in n 7.677 * [taylor]: Taking taylor expansion of PI in n 7.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 7.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.683 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.683 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 7.683 * [taylor]: Taking taylor expansion of 0.25 in n 7.683 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.683 * [taylor]: Taking taylor expansion of 1.0 in n 7.683 * [taylor]: Taking taylor expansion of k in n 7.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.683 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.683 * [taylor]: Taking taylor expansion of 2.0 in n 7.683 * [taylor]: Taking taylor expansion of (* n PI) in n 7.683 * [taylor]: Taking taylor expansion of n in n 7.683 * [taylor]: Taking taylor expansion of PI in n 7.689 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.689 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.689 * [taylor]: Taking taylor expansion of 0.25 in k 7.689 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.689 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.689 * [taylor]: Taking taylor expansion of 1.0 in k 7.689 * [taylor]: Taking taylor expansion of k in k 7.689 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.689 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.689 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.689 * [taylor]: Taking taylor expansion of 2.0 in k 7.689 * [taylor]: Taking taylor expansion of PI in k 7.690 * [taylor]: Taking taylor expansion of (log n) in k 7.690 * [taylor]: Taking taylor expansion of n in k 7.700 * [taylor]: Taking taylor expansion of 0 in k 7.716 * [taylor]: Taking taylor expansion of 0 in k 7.739 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 7.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 7.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.739 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.739 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 7.740 * [taylor]: Taking taylor expansion of 0.25 in k 7.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.740 * [taylor]: Taking taylor expansion of 1.0 in k 7.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.740 * [taylor]: Taking taylor expansion of k in k 7.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.740 * [taylor]: Taking taylor expansion of 2.0 in k 7.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.740 * [taylor]: Taking taylor expansion of PI in k 7.740 * [taylor]: Taking taylor expansion of n in k 7.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 7.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.741 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.741 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 7.741 * [taylor]: Taking taylor expansion of 0.25 in n 7.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.741 * [taylor]: Taking taylor expansion of 1.0 in n 7.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.741 * [taylor]: Taking taylor expansion of k in n 7.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.741 * [taylor]: Taking taylor expansion of 2.0 in n 7.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.741 * [taylor]: Taking taylor expansion of PI in n 7.741 * [taylor]: Taking taylor expansion of n in n 7.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 7.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.745 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.745 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 7.745 * [taylor]: Taking taylor expansion of 0.25 in n 7.745 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.745 * [taylor]: Taking taylor expansion of 1.0 in n 7.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.745 * [taylor]: Taking taylor expansion of k in n 7.745 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.745 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.745 * [taylor]: Taking taylor expansion of 2.0 in n 7.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.745 * [taylor]: Taking taylor expansion of PI in n 7.745 * [taylor]: Taking taylor expansion of n in n 7.749 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 7.749 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 7.749 * [taylor]: Taking taylor expansion of 0.25 in k 7.749 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 7.749 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.749 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.749 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.749 * [taylor]: Taking taylor expansion of 2.0 in k 7.749 * [taylor]: Taking taylor expansion of PI in k 7.750 * [taylor]: Taking taylor expansion of (log n) in k 7.750 * [taylor]: Taking taylor expansion of n in k 7.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.750 * [taylor]: Taking taylor expansion of 1.0 in k 7.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.750 * [taylor]: Taking taylor expansion of k in k 7.760 * [taylor]: Taking taylor expansion of 0 in k 7.767 * [taylor]: Taking taylor expansion of 0 in k 7.777 * [taylor]: Taking taylor expansion of 0 in k 7.778 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 7.778 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 7.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.778 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.778 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 7.778 * [taylor]: Taking taylor expansion of 0.25 in k 7.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.778 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.778 * [taylor]: Taking taylor expansion of k in k 7.778 * [taylor]: Taking taylor expansion of 1.0 in k 7.778 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.778 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.778 * [taylor]: Taking taylor expansion of -2.0 in k 7.778 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.778 * [taylor]: Taking taylor expansion of PI in k 7.778 * [taylor]: Taking taylor expansion of n in k 7.779 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 7.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.779 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.779 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 7.779 * [taylor]: Taking taylor expansion of 0.25 in n 7.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.779 * [taylor]: Taking taylor expansion of k in n 7.779 * [taylor]: Taking taylor expansion of 1.0 in n 7.779 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.779 * [taylor]: Taking taylor expansion of -2.0 in n 7.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.779 * [taylor]: Taking taylor expansion of PI in n 7.779 * [taylor]: Taking taylor expansion of n in n 7.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 7.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.783 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.783 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 7.783 * [taylor]: Taking taylor expansion of 0.25 in n 7.783 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.783 * [taylor]: Taking taylor expansion of k in n 7.783 * [taylor]: Taking taylor expansion of 1.0 in n 7.783 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.783 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.783 * [taylor]: Taking taylor expansion of -2.0 in n 7.783 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.783 * [taylor]: Taking taylor expansion of PI in n 7.783 * [taylor]: Taking taylor expansion of n in n 7.787 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 7.787 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 7.787 * [taylor]: Taking taylor expansion of 0.25 in k 7.787 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 7.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.787 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.787 * [taylor]: Taking taylor expansion of k in k 7.788 * [taylor]: Taking taylor expansion of 1.0 in k 7.788 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.788 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.788 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.788 * [taylor]: Taking taylor expansion of -2.0 in k 7.788 * [taylor]: Taking taylor expansion of PI in k 7.789 * [taylor]: Taking taylor expansion of (log n) in k 7.789 * [taylor]: Taking taylor expansion of n in k 7.798 * [taylor]: Taking taylor expansion of 0 in k 7.806 * [taylor]: Taking taylor expansion of 0 in k 7.815 * [taylor]: Taking taylor expansion of 0 in k 7.816 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2) 7.816 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 7.816 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 7.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 7.816 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 7.816 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 7.816 * [taylor]: Taking taylor expansion of 0.25 in k 7.816 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.816 * [taylor]: Taking taylor expansion of 1.0 in k 7.816 * [taylor]: Taking taylor expansion of k in k 7.816 * [taylor]: Taking taylor expansion of (log n) in k 7.816 * [taylor]: Taking taylor expansion of n in k 7.820 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 7.820 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 7.820 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 7.820 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 7.820 * [taylor]: Taking taylor expansion of 0.25 in n 7.820 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.820 * [taylor]: Taking taylor expansion of 1.0 in n 7.820 * [taylor]: Taking taylor expansion of k in n 7.820 * [taylor]: Taking taylor expansion of (log n) in n 7.820 * [taylor]: Taking taylor expansion of n in n 7.821 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 7.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 7.821 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 7.821 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 7.821 * [taylor]: Taking taylor expansion of 0.25 in n 7.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.821 * [taylor]: Taking taylor expansion of 1.0 in n 7.821 * [taylor]: Taking taylor expansion of k in n 7.821 * [taylor]: Taking taylor expansion of (log n) in n 7.821 * [taylor]: Taking taylor expansion of n in n 7.822 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 7.822 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 7.822 * [taylor]: Taking taylor expansion of 0.25 in k 7.822 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 7.822 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.822 * [taylor]: Taking taylor expansion of 1.0 in k 7.822 * [taylor]: Taking taylor expansion of k in k 7.822 * [taylor]: Taking taylor expansion of (log n) in k 7.822 * [taylor]: Taking taylor expansion of n in k 7.825 * [taylor]: Taking taylor expansion of 0 in k 7.830 * [taylor]: Taking taylor expansion of 0 in k 7.834 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 7.834 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 7.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 7.834 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 7.834 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 7.834 * [taylor]: Taking taylor expansion of 0.25 in k 7.834 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.834 * [taylor]: Taking taylor expansion of 1.0 in k 7.834 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.834 * [taylor]: Taking taylor expansion of k in k 7.835 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 7.835 * [taylor]: Taking taylor expansion of (/ 1 n) in k 7.835 * [taylor]: Taking taylor expansion of n in k 7.836 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 7.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.836 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.836 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 7.836 * [taylor]: Taking taylor expansion of 0.25 in n 7.836 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.836 * [taylor]: Taking taylor expansion of 1.0 in n 7.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.836 * [taylor]: Taking taylor expansion of k in n 7.836 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.836 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.836 * [taylor]: Taking taylor expansion of n in n 7.837 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 7.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 7.837 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 7.837 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 7.837 * [taylor]: Taking taylor expansion of 0.25 in n 7.837 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.837 * [taylor]: Taking taylor expansion of 1.0 in n 7.837 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.837 * [taylor]: Taking taylor expansion of k in n 7.837 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 7.837 * [taylor]: Taking taylor expansion of (/ 1 n) in n 7.837 * [taylor]: Taking taylor expansion of n in n 7.838 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 7.838 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 7.838 * [taylor]: Taking taylor expansion of -0.25 in k 7.838 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 7.838 * [taylor]: Taking taylor expansion of (log n) in k 7.838 * [taylor]: Taking taylor expansion of n in k 7.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.838 * [taylor]: Taking taylor expansion of 1.0 in k 7.838 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.838 * [taylor]: Taking taylor expansion of k in k 7.842 * [taylor]: Taking taylor expansion of 0 in k 7.847 * [taylor]: Taking taylor expansion of 0 in k 7.853 * [taylor]: Taking taylor expansion of 0 in k 7.853 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 7.854 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 7.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 7.854 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 7.854 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 7.854 * [taylor]: Taking taylor expansion of 0.25 in k 7.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.854 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.854 * [taylor]: Taking taylor expansion of k in k 7.854 * [taylor]: Taking taylor expansion of 1.0 in k 7.854 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 7.854 * [taylor]: Taking taylor expansion of (/ -1 n) in k 7.854 * [taylor]: Taking taylor expansion of -1 in k 7.854 * [taylor]: Taking taylor expansion of n in k 7.855 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 7.855 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.855 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.855 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 7.855 * [taylor]: Taking taylor expansion of 0.25 in n 7.855 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.855 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.855 * [taylor]: Taking taylor expansion of k in n 7.855 * [taylor]: Taking taylor expansion of 1.0 in n 7.855 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.855 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.855 * [taylor]: Taking taylor expansion of -1 in n 7.855 * [taylor]: Taking taylor expansion of n in n 7.857 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 7.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 7.857 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 7.857 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 7.857 * [taylor]: Taking taylor expansion of 0.25 in n 7.857 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.857 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.857 * [taylor]: Taking taylor expansion of k in n 7.857 * [taylor]: Taking taylor expansion of 1.0 in n 7.857 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 7.857 * [taylor]: Taking taylor expansion of (/ -1 n) in n 7.857 * [taylor]: Taking taylor expansion of -1 in n 7.857 * [taylor]: Taking taylor expansion of n in n 7.859 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 7.859 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 7.859 * [taylor]: Taking taylor expansion of 0.25 in k 7.859 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 7.859 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 7.859 * [taylor]: Taking taylor expansion of (log -1) in k 7.859 * [taylor]: Taking taylor expansion of -1 in k 7.859 * [taylor]: Taking taylor expansion of (log n) in k 7.859 * [taylor]: Taking taylor expansion of n in k 7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.859 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.859 * [taylor]: Taking taylor expansion of k in k 7.860 * [taylor]: Taking taylor expansion of 1.0 in k 7.865 * [taylor]: Taking taylor expansion of 0 in k 7.870 * [taylor]: Taking taylor expansion of 0 in k 7.877 * [taylor]: Taking taylor expansion of 0 in k 7.877 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 7.878 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 7.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.878 * [taylor]: Taking taylor expansion of 2.0 in n 7.878 * [taylor]: Taking taylor expansion of (* n PI) in n 7.878 * [taylor]: Taking taylor expansion of n in n 7.878 * [taylor]: Taking taylor expansion of PI in n 7.878 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.878 * [taylor]: Taking taylor expansion of 2.0 in n 7.878 * [taylor]: Taking taylor expansion of (* n PI) in n 7.878 * [taylor]: Taking taylor expansion of n in n 7.878 * [taylor]: Taking taylor expansion of PI in n 7.890 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 7.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.891 * [taylor]: Taking taylor expansion of 2.0 in n 7.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.891 * [taylor]: Taking taylor expansion of PI in n 7.891 * [taylor]: Taking taylor expansion of n in n 7.891 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.891 * [taylor]: Taking taylor expansion of 2.0 in n 7.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.891 * [taylor]: Taking taylor expansion of PI in n 7.891 * [taylor]: Taking taylor expansion of n in n 7.900 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 7.900 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.900 * [taylor]: Taking taylor expansion of -2.0 in n 7.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.901 * [taylor]: Taking taylor expansion of PI in n 7.901 * [taylor]: Taking taylor expansion of n in n 7.901 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.901 * [taylor]: Taking taylor expansion of -2.0 in n 7.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.901 * [taylor]: Taking taylor expansion of PI in n 7.901 * [taylor]: Taking taylor expansion of n in n 7.913 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 7.913 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.913 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.913 * [taylor]: Taking taylor expansion of 1.0 in k 7.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.913 * [taylor]: Taking taylor expansion of k in k 7.914 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.914 * [taylor]: Taking taylor expansion of 1.0 in k 7.914 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.914 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.914 * [taylor]: Taking taylor expansion of k in k 7.926 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.926 * [taylor]: Taking taylor expansion of 1.0 in k 7.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.926 * [taylor]: Taking taylor expansion of k in k 7.927 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.927 * [taylor]: Taking taylor expansion of 1.0 in k 7.927 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.927 * [taylor]: Taking taylor expansion of k in k 7.938 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.938 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.938 * [taylor]: Taking taylor expansion of 1.0 in k 7.938 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.938 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.938 * [taylor]: Taking taylor expansion of -1 in k 7.938 * [taylor]: Taking taylor expansion of k in k 7.940 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.940 * [taylor]: Taking taylor expansion of 1.0 in k 7.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.940 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.940 * [taylor]: Taking taylor expansion of -1 in k 7.940 * [taylor]: Taking taylor expansion of k in k 7.952 * * * [progress]: simplifying candidates 7.955 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 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(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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (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)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n 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))))) 7.970 * * [simplify]: iteration 0 : 413 enodes (cost 3101 ) 8.130 * * [simplify]: iteration 1 : 1103 enodes (cost 2844 ) 8.605 * * [simplify]: iteration 2 : 3246 enodes (cost 2756 ) 9.183 * * [simplify]: iteration done : 5000 enodes (cost 2751 ) 9.184 * [simplify]: Simplified to: (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ 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(* n PI)) (/ (* (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* n PI) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 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2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow (* (* n PI) 2.0) (+ (sqrt 1.0) (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* n PI) 2.0) (- 1.0 k)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 4)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (/ (- 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)))) (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))) (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)))) (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))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow n (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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)))) (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))) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow n (sqrt (- 1.0 k))) (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)))) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) 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)))) (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))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2))) (pow n (+ (sqrt 1.0) (sqrt k))) (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)))) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ 1 (sqrt 2.0))) (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)) 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 (pow 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) 4)) (pow n (/ (/ (- 1.0 k) 2.0) 4)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (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) (cbrt 1.0)) (fabs (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)) (/ (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) (/ 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) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (pow (* 2.0 (* n PI)) 0.25) (+ (+ (* (* 0.03125 (pow k 2)) (* (pow (log n) 2) (pow (* 2.0 (* n PI)) 0.25))) (* (* (log (* 2.0 PI)) (* (pow (* 2.0 (* n PI)) 0.25) (log n))) (* 0.0625 (pow k 2)))) (* (* (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* n PI)) 0.25)) (* 0.03125 (pow k 2))))) (* 0.25 (* k (+ (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.25)) (* (pow (* 2.0 (* n PI)) 0.25) (log n)))))) (pow (pow (* 2.0 (* n PI)) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (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 (exp -0.25) (* (- (log n)) (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) 9.186 * * * [progress]: adding candidates to table 10.003 * * [progress]: iteration 4 / 4 10.003 * * * [progress]: picking best candidate 10.028 * * * * [pick]: Picked # 10.028 * * * [progress]: localizing error 10.047 * * * [progress]: generating rewritten candidates 10.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.060 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 10.073 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 10.079 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 10.096 * * * [progress]: generating series expansions 10.096 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.097 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 10.097 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 10.097 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 10.097 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 10.097 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 10.097 * [taylor]: Taking taylor expansion of 0.25 in k 10.097 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.097 * [taylor]: Taking taylor expansion of 1.0 in k 10.097 * [taylor]: Taking taylor expansion of k in k 10.097 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.097 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.097 * [taylor]: Taking taylor expansion of 2.0 in k 10.097 * [taylor]: Taking taylor expansion of (* n PI) in k 10.097 * [taylor]: Taking taylor expansion of n in k 10.097 * [taylor]: Taking taylor expansion of PI in k 10.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 10.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 10.098 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 10.098 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 10.098 * [taylor]: Taking taylor expansion of 0.25 in n 10.098 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.098 * [taylor]: Taking taylor expansion of 1.0 in n 10.098 * [taylor]: Taking taylor expansion of k in n 10.098 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.098 * [taylor]: Taking taylor expansion of 2.0 in n 10.098 * [taylor]: Taking taylor expansion of (* n PI) in n 10.098 * [taylor]: Taking taylor expansion of n in n 10.098 * [taylor]: Taking taylor expansion of PI in n 10.104 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 10.104 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 10.104 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 10.104 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 10.104 * [taylor]: Taking taylor expansion of 0.25 in n 10.104 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.104 * [taylor]: Taking taylor expansion of 1.0 in n 10.104 * [taylor]: Taking taylor expansion of k in n 10.104 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.104 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.104 * [taylor]: Taking taylor expansion of 2.0 in n 10.104 * [taylor]: Taking taylor expansion of (* n PI) in n 10.104 * [taylor]: Taking taylor expansion of n in n 10.104 * [taylor]: Taking taylor expansion of PI in n 10.110 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 10.110 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 10.110 * [taylor]: Taking taylor expansion of 0.25 in k 10.110 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 10.110 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.110 * [taylor]: Taking taylor expansion of 1.0 in k 10.110 * [taylor]: Taking taylor expansion of k in k 10.110 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 10.110 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.110 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.110 * [taylor]: Taking taylor expansion of 2.0 in k 10.110 * [taylor]: Taking taylor expansion of PI in k 10.111 * [taylor]: Taking taylor expansion of (log n) in k 10.111 * [taylor]: Taking taylor expansion of n in k 10.125 * [taylor]: Taking taylor expansion of 0 in k 10.142 * [taylor]: Taking taylor expansion of 0 in k 10.161 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 10.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.161 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.161 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.161 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.161 * [taylor]: Taking taylor expansion of 0.25 in k 10.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.161 * [taylor]: Taking taylor expansion of 1.0 in k 10.161 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.161 * [taylor]: Taking taylor expansion of k in k 10.162 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.162 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.162 * [taylor]: Taking taylor expansion of 2.0 in k 10.162 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.162 * [taylor]: Taking taylor expansion of PI in k 10.162 * [taylor]: Taking taylor expansion of n in k 10.163 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.163 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.163 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.163 * [taylor]: Taking taylor expansion of 0.25 in n 10.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.163 * [taylor]: Taking taylor expansion of 1.0 in n 10.163 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.163 * [taylor]: Taking taylor expansion of k in n 10.163 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.163 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.163 * [taylor]: Taking taylor expansion of 2.0 in n 10.163 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.163 * [taylor]: Taking taylor expansion of PI in n 10.163 * [taylor]: Taking taylor expansion of n in n 10.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.167 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.167 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.167 * [taylor]: Taking taylor expansion of 0.25 in n 10.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.167 * [taylor]: Taking taylor expansion of 1.0 in n 10.167 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.167 * [taylor]: Taking taylor expansion of k in n 10.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.167 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.167 * [taylor]: Taking taylor expansion of 2.0 in n 10.167 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.167 * [taylor]: Taking taylor expansion of PI in n 10.167 * [taylor]: Taking taylor expansion of n in n 10.171 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 10.171 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 10.171 * [taylor]: Taking taylor expansion of 0.25 in k 10.171 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 10.171 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 10.171 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.171 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.171 * [taylor]: Taking taylor expansion of 2.0 in k 10.171 * [taylor]: Taking taylor expansion of PI in k 10.172 * [taylor]: Taking taylor expansion of (log n) in k 10.172 * [taylor]: Taking taylor expansion of n in k 10.172 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.172 * [taylor]: Taking taylor expansion of 1.0 in k 10.172 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.172 * [taylor]: Taking taylor expansion of k in k 10.182 * [taylor]: Taking taylor expansion of 0 in k 10.190 * [taylor]: Taking taylor expansion of 0 in k 10.199 * [taylor]: Taking taylor expansion of 0 in k 10.200 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 10.200 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.200 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.200 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.200 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.200 * [taylor]: Taking taylor expansion of 0.25 in k 10.200 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.200 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.201 * [taylor]: Taking taylor expansion of k in k 10.201 * [taylor]: Taking taylor expansion of 1.0 in k 10.201 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.201 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.201 * [taylor]: Taking taylor expansion of -2.0 in k 10.201 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.201 * [taylor]: Taking taylor expansion of PI in k 10.201 * [taylor]: Taking taylor expansion of n in k 10.202 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.202 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.202 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.202 * [taylor]: Taking taylor expansion of 0.25 in n 10.202 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.202 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.202 * [taylor]: Taking taylor expansion of k in n 10.202 * [taylor]: Taking taylor expansion of 1.0 in n 10.202 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.202 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.202 * [taylor]: Taking taylor expansion of -2.0 in n 10.202 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.202 * [taylor]: Taking taylor expansion of PI in n 10.202 * [taylor]: Taking taylor expansion of n in n 10.206 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.206 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.206 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.206 * [taylor]: Taking taylor expansion of 0.25 in n 10.206 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.206 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.206 * [taylor]: Taking taylor expansion of k in n 10.206 * [taylor]: Taking taylor expansion of 1.0 in n 10.206 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.206 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.206 * [taylor]: Taking taylor expansion of -2.0 in n 10.206 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.206 * [taylor]: Taking taylor expansion of PI in n 10.206 * [taylor]: Taking taylor expansion of n in n 10.213 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 10.213 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 10.213 * [taylor]: Taking taylor expansion of 0.25 in k 10.213 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 10.213 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.213 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.213 * [taylor]: Taking taylor expansion of k in k 10.213 * [taylor]: Taking taylor expansion of 1.0 in k 10.213 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 10.213 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 10.213 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 10.213 * [taylor]: Taking taylor expansion of -2.0 in k 10.213 * [taylor]: Taking taylor expansion of PI in k 10.214 * [taylor]: Taking taylor expansion of (log n) in k 10.214 * [taylor]: Taking taylor expansion of n in k 10.224 * [taylor]: Taking taylor expansion of 0 in k 10.231 * [taylor]: Taking taylor expansion of 0 in k 10.240 * [taylor]: Taking taylor expansion of 0 in k 10.241 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 10.241 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 10.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 10.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 10.242 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 10.242 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 10.242 * [taylor]: Taking taylor expansion of 0.25 in k 10.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.242 * [taylor]: Taking taylor expansion of 1.0 in k 10.242 * [taylor]: Taking taylor expansion of k in k 10.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 10.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 10.242 * [taylor]: Taking taylor expansion of 2.0 in k 10.242 * [taylor]: Taking taylor expansion of (* n PI) in k 10.242 * [taylor]: Taking taylor expansion of n in k 10.242 * [taylor]: Taking taylor expansion of PI in k 10.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 10.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 10.243 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 10.243 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 10.243 * [taylor]: Taking taylor expansion of 0.25 in n 10.243 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.243 * [taylor]: Taking taylor expansion of 1.0 in n 10.243 * [taylor]: Taking taylor expansion of k in n 10.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.243 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.243 * [taylor]: Taking taylor expansion of 2.0 in n 10.243 * [taylor]: Taking taylor expansion of (* n PI) in n 10.243 * [taylor]: Taking taylor expansion of n in n 10.243 * [taylor]: Taking taylor expansion of PI in n 10.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 10.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 10.248 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 10.248 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 10.248 * [taylor]: Taking taylor expansion of 0.25 in n 10.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 10.249 * [taylor]: Taking taylor expansion of 1.0 in n 10.249 * [taylor]: Taking taylor expansion of k in n 10.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 10.249 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.249 * [taylor]: Taking taylor expansion of 2.0 in n 10.249 * [taylor]: Taking taylor expansion of (* n PI) in n 10.249 * [taylor]: Taking taylor expansion of n in n 10.249 * [taylor]: Taking taylor expansion of PI in n 10.254 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 10.254 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 10.254 * [taylor]: Taking taylor expansion of 0.25 in k 10.254 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 10.254 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 10.254 * [taylor]: Taking taylor expansion of 1.0 in k 10.254 * [taylor]: Taking taylor expansion of k in k 10.254 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 10.254 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.254 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.254 * [taylor]: Taking taylor expansion of 2.0 in k 10.254 * [taylor]: Taking taylor expansion of PI in k 10.255 * [taylor]: Taking taylor expansion of (log n) in k 10.255 * [taylor]: Taking taylor expansion of n in k 10.265 * [taylor]: Taking taylor expansion of 0 in k 10.282 * [taylor]: Taking taylor expansion of 0 in k 10.304 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 10.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 10.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 10.304 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 10.304 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 10.304 * [taylor]: Taking taylor expansion of 0.25 in k 10.304 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.304 * [taylor]: Taking taylor expansion of 1.0 in k 10.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.304 * [taylor]: Taking taylor expansion of k in k 10.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 10.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 10.305 * [taylor]: Taking taylor expansion of 2.0 in k 10.305 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.305 * [taylor]: Taking taylor expansion of PI in k 10.305 * [taylor]: Taking taylor expansion of n in k 10.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.306 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.306 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.306 * [taylor]: Taking taylor expansion of 0.25 in n 10.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.306 * [taylor]: Taking taylor expansion of 1.0 in n 10.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.306 * [taylor]: Taking taylor expansion of k in n 10.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.306 * [taylor]: Taking taylor expansion of 2.0 in n 10.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.306 * [taylor]: Taking taylor expansion of PI in n 10.306 * [taylor]: Taking taylor expansion of n in n 10.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 10.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 10.310 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 10.310 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 10.310 * [taylor]: Taking taylor expansion of 0.25 in n 10.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.310 * [taylor]: Taking taylor expansion of 1.0 in n 10.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.310 * [taylor]: Taking taylor expansion of k in n 10.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.310 * [taylor]: Taking taylor expansion of 2.0 in n 10.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.310 * [taylor]: Taking taylor expansion of PI in n 10.310 * [taylor]: Taking taylor expansion of n in n 10.314 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 10.314 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 10.314 * [taylor]: Taking taylor expansion of 0.25 in k 10.314 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 10.314 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 10.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 10.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 10.314 * [taylor]: Taking taylor expansion of 2.0 in k 10.314 * [taylor]: Taking taylor expansion of PI in k 10.315 * [taylor]: Taking taylor expansion of (log n) in k 10.315 * [taylor]: Taking taylor expansion of n in k 10.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 10.315 * [taylor]: Taking taylor expansion of 1.0 in k 10.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.315 * [taylor]: Taking taylor expansion of k in k 10.325 * [taylor]: Taking taylor expansion of 0 in k 10.332 * [taylor]: Taking taylor expansion of 0 in k 10.342 * [taylor]: Taking taylor expansion of 0 in k 10.343 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 10.343 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 10.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.343 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.343 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 10.343 * [taylor]: Taking taylor expansion of 0.25 in k 10.343 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.343 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.343 * [taylor]: Taking taylor expansion of k in k 10.344 * [taylor]: Taking taylor expansion of 1.0 in k 10.344 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.344 * [taylor]: Taking taylor expansion of -2.0 in k 10.344 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.344 * [taylor]: Taking taylor expansion of PI in k 10.344 * [taylor]: Taking taylor expansion of n in k 10.345 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.345 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.345 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.345 * [taylor]: Taking taylor expansion of 0.25 in n 10.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.345 * [taylor]: Taking taylor expansion of k in n 10.345 * [taylor]: Taking taylor expansion of 1.0 in n 10.345 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.345 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.345 * [taylor]: Taking taylor expansion of -2.0 in n 10.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.345 * [taylor]: Taking taylor expansion of PI in n 10.345 * [taylor]: Taking taylor expansion of n in n 10.348 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 10.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.349 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.349 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 10.349 * [taylor]: Taking taylor expansion of 0.25 in n 10.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.349 * [taylor]: Taking taylor expansion of k in n 10.349 * [taylor]: Taking taylor expansion of 1.0 in n 10.349 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.349 * [taylor]: Taking taylor expansion of -2.0 in n 10.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.349 * [taylor]: Taking taylor expansion of PI in n 10.349 * [taylor]: Taking taylor expansion of n in n 10.353 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 10.353 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 10.353 * [taylor]: Taking taylor expansion of 0.25 in k 10.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 10.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.353 * [taylor]: Taking taylor expansion of k in k 10.353 * [taylor]: Taking taylor expansion of 1.0 in k 10.353 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 10.353 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 10.353 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 10.353 * [taylor]: Taking taylor expansion of -2.0 in k 10.353 * [taylor]: Taking taylor expansion of PI in k 10.354 * [taylor]: Taking taylor expansion of (log n) in k 10.354 * [taylor]: Taking taylor expansion of n in k 10.363 * [taylor]: Taking taylor expansion of 0 in k 10.370 * [taylor]: Taking taylor expansion of 0 in k 10.380 * [taylor]: Taking taylor expansion of 0 in k 10.380 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 10.381 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.381 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.381 * [taylor]: Taking taylor expansion of 2.0 in n 10.381 * [taylor]: Taking taylor expansion of (* n PI) in n 10.381 * [taylor]: Taking taylor expansion of n in n 10.381 * [taylor]: Taking taylor expansion of PI in n 10.381 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.381 * [taylor]: Taking taylor expansion of 2.0 in n 10.381 * [taylor]: Taking taylor expansion of (* n PI) in n 10.381 * [taylor]: Taking taylor expansion of n in n 10.381 * [taylor]: Taking taylor expansion of PI in n 10.397 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.397 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.397 * [taylor]: Taking taylor expansion of 2.0 in n 10.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.397 * [taylor]: Taking taylor expansion of PI in n 10.397 * [taylor]: Taking taylor expansion of n in n 10.397 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.397 * [taylor]: Taking taylor expansion of 2.0 in n 10.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.397 * [taylor]: Taking taylor expansion of PI in n 10.397 * [taylor]: Taking taylor expansion of n in n 10.407 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.407 * [taylor]: Taking taylor expansion of -2.0 in n 10.407 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.407 * [taylor]: Taking taylor expansion of PI in n 10.407 * [taylor]: Taking taylor expansion of n in n 10.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.407 * [taylor]: Taking taylor expansion of -2.0 in n 10.407 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.407 * [taylor]: Taking taylor expansion of PI in n 10.407 * [taylor]: Taking taylor expansion of n in n 10.416 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 10.417 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 10.417 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.417 * [taylor]: Taking taylor expansion of 2.0 in n 10.417 * [taylor]: Taking taylor expansion of (* n PI) in n 10.417 * [taylor]: Taking taylor expansion of n in n 10.417 * [taylor]: Taking taylor expansion of PI in n 10.417 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 10.417 * [taylor]: Taking taylor expansion of 2.0 in n 10.417 * [taylor]: Taking taylor expansion of (* n PI) in n 10.417 * [taylor]: Taking taylor expansion of n in n 10.417 * [taylor]: Taking taylor expansion of PI in n 10.430 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 10.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.430 * [taylor]: Taking taylor expansion of 2.0 in n 10.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.430 * [taylor]: Taking taylor expansion of PI in n 10.430 * [taylor]: Taking taylor expansion of n in n 10.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.430 * [taylor]: Taking taylor expansion of 2.0 in n 10.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.430 * [taylor]: Taking taylor expansion of PI in n 10.430 * [taylor]: Taking taylor expansion of n in n 10.439 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 10.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.439 * [taylor]: Taking taylor expansion of -2.0 in n 10.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.440 * [taylor]: Taking taylor expansion of PI in n 10.440 * [taylor]: Taking taylor expansion of n in n 10.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.440 * [taylor]: Taking taylor expansion of -2.0 in n 10.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.440 * [taylor]: Taking taylor expansion of PI in n 10.440 * [taylor]: Taking taylor expansion of n in n 10.449 * * * [progress]: simplifying candidates 10.452 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (* 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) (* (* 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) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 10.464 * * [simplify]: iteration 0 : 241 enodes (cost 3252 ) 10.528 * * [simplify]: iteration 1 : 695 enodes (cost 3014 ) 10.862 * * [simplify]: iteration 2 : 2269 enodes (cost 2898 ) 11.452 * * [simplify]: iteration done : 5000 enodes (cost 2898 ) 11.453 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* n PI) 2.0) (- 1.0 k)) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (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)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2))) (pow (* (* PI n) 2.0) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (* (cbrt 2) (cbrt 2)))) (pow (* (* n PI) 2.0) (/ (sqrt (- 1.0 k)) (sqrt 2))) (pow (* (* PI n) 2.0) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* PI n) 2.0) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* n PI) 2.0) (/ 1 (sqrt 2.0))) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* PI n) 2.0) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* PI n) 2.0) (/ 1 (sqrt 2))) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* n PI) 2.0) (- 1.0 k)) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (pow (* (* n PI) 2.0) (/ (/ (- 1.0 k) 2.0) 4)) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (pow (* (* n PI) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (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) (* n PI) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (pow (* (* n PI) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (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) (* n PI) (- (+ (+ (* (* (* 0.03125 (pow k 2)) (pow (log n) 2)) (pow (* (* n PI) 2.0) 0.25)) (* (* (* 0.0625 (pow k 2)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))) (log n))) (+ (pow (* (* n PI) 2.0) 0.25) (* 0.03125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (* n PI) 2.0) 0.25))))) (* (* 0.25 k) (+ (* (log n) (pow (* (* n PI) 2.0) 0.25)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))))) (pow (pow (* (* n PI) 2.0) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (+ (* (* (* 0.03125 (pow k 2)) (pow (log n) 2)) (pow (* (* n PI) 2.0) 0.25)) (* (* (* 0.0625 (pow k 2)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))) (log n))) (+ (pow (* (* n PI) 2.0) 0.25) (* 0.03125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (* n PI) 2.0) 0.25))))) (* (* 0.25 k) (+ (* (log n) (pow (* (* n PI) 2.0) 0.25)) (* (pow (* (* n PI) 2.0) 0.25) (log (* 2.0 PI)))))) (pow (pow (* (* n PI) 2.0) 0.25) (- 1.0 k)) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) 11.455 * * * [progress]: adding candidates to table 12.141 * [progress]: [Phase 3 of 3] Extracting. 12.141 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 12.144 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 12.144 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 12.184 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 12.207 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 12.246 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 12.285 * * * [regime]: Found split indices: #