10.858 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.139 * [progress]: [Phase 2 of 3] Improving. 0.139 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.141 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.142 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.144 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.146 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.152 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.174 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.175 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.175 * * [progress]: iteration 1 / 4 0.175 * * * [progress]: picking best candidate 0.177 * * * * [pick]: Picked # 0.177 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.202 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.211 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.216 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.225 * * * [progress]: generating series expansions 0.225 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.226 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.226 * [taylor]: Taking taylor expansion of 1.0 in n 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.226 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.226 * [taylor]: Taking taylor expansion of k in n 0.226 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.227 * [taylor]: Taking taylor expansion of 0.5 in n 0.227 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.227 * [taylor]: Taking taylor expansion of 1.0 in n 0.227 * [taylor]: Taking taylor expansion of k in n 0.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.227 * [taylor]: Taking taylor expansion of 2.0 in n 0.227 * [taylor]: Taking taylor expansion of (* n PI) in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.227 * [taylor]: Taking taylor expansion of PI in n 0.232 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.232 * [taylor]: Taking taylor expansion of 1.0 in k 0.232 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.232 * [taylor]: Taking taylor expansion of k in k 0.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.234 * [taylor]: Taking taylor expansion of 0.5 in k 0.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.234 * [taylor]: Taking taylor expansion of 1.0 in k 0.234 * [taylor]: Taking taylor expansion of k in k 0.234 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.234 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.234 * [taylor]: Taking taylor expansion of 2.0 in k 0.234 * [taylor]: Taking taylor expansion of (* n PI) in k 0.234 * [taylor]: Taking taylor expansion of n in k 0.234 * [taylor]: Taking taylor expansion of PI in k 0.235 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.235 * [taylor]: Taking taylor expansion of 1.0 in k 0.235 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.235 * [taylor]: Taking taylor expansion of k in k 0.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.236 * [taylor]: Taking taylor expansion of 0.5 in k 0.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.236 * [taylor]: Taking taylor expansion of 1.0 in k 0.236 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.237 * [taylor]: Taking taylor expansion of 2.0 in k 0.237 * [taylor]: Taking taylor expansion of (* n PI) in k 0.237 * [taylor]: Taking taylor expansion of n in k 0.237 * [taylor]: Taking taylor expansion of PI in k 0.238 * [taylor]: Taking taylor expansion of 0 in n 0.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.249 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.249 * [taylor]: Taking taylor expansion of +nan.0 in n 0.249 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.249 * [taylor]: Taking taylor expansion of 0.5 in n 0.249 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.249 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.249 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.249 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.249 * [taylor]: Taking taylor expansion of 1.0 in n 0.249 * [taylor]: Taking taylor expansion of (log PI) in n 0.249 * [taylor]: Taking taylor expansion of PI in n 0.251 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.251 * [taylor]: Taking taylor expansion of 1.0 in n 0.251 * [taylor]: Taking taylor expansion of (log n) in n 0.251 * [taylor]: Taking taylor expansion of n in n 0.252 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.252 * [taylor]: Taking taylor expansion of 2.0 in n 0.271 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.271 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.271 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.271 * [taylor]: Taking taylor expansion of +nan.0 in n 0.271 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.271 * [taylor]: Taking taylor expansion of 0.5 in n 0.271 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.271 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.271 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.271 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.271 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [taylor]: Taking taylor expansion of (log PI) in n 0.272 * [taylor]: Taking taylor expansion of PI in n 0.273 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.273 * [taylor]: Taking taylor expansion of 1.0 in n 0.273 * [taylor]: Taking taylor expansion of (log n) in n 0.273 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.274 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.274 * [taylor]: Taking taylor expansion of 2.0 in n 0.279 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.279 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.279 * [taylor]: Taking taylor expansion of +nan.0 in n 0.279 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.279 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.280 * [taylor]: Taking taylor expansion of 0.5 in n 0.280 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.280 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.280 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.280 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.280 * [taylor]: Taking taylor expansion of 1.0 in n 0.280 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.280 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.281 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (log PI) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.283 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.283 * [taylor]: Taking taylor expansion of 1.0 in n 0.283 * [taylor]: Taking taylor expansion of (log n) in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.288 * [taylor]: Taking taylor expansion of 2.0 in n 0.288 * [taylor]: Taking taylor expansion of (* n PI) in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.344 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.344 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.344 * [taylor]: Taking taylor expansion of +nan.0 in n 0.344 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.344 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.344 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.344 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.346 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.346 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.346 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.346 * [taylor]: Taking taylor expansion of 1.0 in n 0.346 * [taylor]: Taking taylor expansion of (log n) in n 0.346 * [taylor]: Taking taylor expansion of n in n 0.346 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (log PI) in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.352 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.352 * [taylor]: Taking taylor expansion of +nan.0 in n 0.352 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.352 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.352 * [taylor]: Taking taylor expansion of 0.5 in n 0.352 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.352 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.352 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.352 * [taylor]: Taking taylor expansion of 1.0 in n 0.352 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.352 * [taylor]: Taking taylor expansion of 2.0 in n 0.354 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.354 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.354 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (log PI) in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.356 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.356 * [taylor]: Taking taylor expansion of 1.0 in n 0.356 * [taylor]: Taking taylor expansion of (log n) in n 0.356 * [taylor]: Taking taylor expansion of n in n 0.360 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.360 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.360 * [taylor]: Taking taylor expansion of 2.0 in n 0.360 * [taylor]: Taking taylor expansion of (* n PI) in n 0.360 * [taylor]: Taking taylor expansion of n in n 0.360 * [taylor]: Taking taylor expansion of PI in n 0.363 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.363 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.363 * [taylor]: Taking taylor expansion of +nan.0 in n 0.363 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.363 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.363 * [taylor]: Taking taylor expansion of 0.5 in n 0.364 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.364 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.364 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.364 * [taylor]: Taking taylor expansion of 2.0 in n 0.365 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.365 * [taylor]: Taking taylor expansion of 1.0 in n 0.365 * [taylor]: Taking taylor expansion of (log PI) in n 0.365 * [taylor]: Taking taylor expansion of PI in n 0.367 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.367 * [taylor]: Taking taylor expansion of 1.0 in n 0.367 * [taylor]: Taking taylor expansion of (log n) in n 0.367 * [taylor]: Taking taylor expansion of n in n 0.372 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.372 * [taylor]: Taking taylor expansion of 2.0 in n 0.372 * [taylor]: Taking taylor expansion of (* n PI) in n 0.372 * [taylor]: Taking taylor expansion of n in n 0.372 * [taylor]: Taking taylor expansion of PI in n 0.451 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.451 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.452 * [taylor]: Taking taylor expansion of k in n 0.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.452 * [taylor]: Taking taylor expansion of 0.5 in n 0.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.452 * [taylor]: Taking taylor expansion of k in n 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.455 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.455 * [taylor]: Taking taylor expansion of 1.0 in k 0.455 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.455 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.456 * [taylor]: Taking taylor expansion of k in k 0.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.457 * [taylor]: Taking taylor expansion of 0.5 in k 0.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.457 * [taylor]: Taking taylor expansion of 1.0 in k 0.457 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.457 * [taylor]: Taking taylor expansion of k in k 0.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.457 * [taylor]: Taking taylor expansion of 2.0 in k 0.457 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.457 * [taylor]: Taking taylor expansion of PI in k 0.457 * [taylor]: Taking taylor expansion of n in k 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.458 * [taylor]: Taking taylor expansion of 1.0 in k 0.458 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.458 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.458 * [taylor]: Taking taylor expansion of k in k 0.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.459 * [taylor]: Taking taylor expansion of 0.5 in k 0.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.459 * [taylor]: Taking taylor expansion of k in k 0.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.460 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.460 * [taylor]: Taking taylor expansion of 2.0 in k 0.460 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.460 * [taylor]: Taking taylor expansion of PI in k 0.460 * [taylor]: Taking taylor expansion of n in k 0.461 * [taylor]: Taking taylor expansion of 0 in n 0.462 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.462 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.462 * [taylor]: Taking taylor expansion of +nan.0 in n 0.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.462 * [taylor]: Taking taylor expansion of 0.5 in n 0.462 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.462 * [taylor]: Taking taylor expansion of 2.0 in n 0.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.462 * [taylor]: Taking taylor expansion of PI in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.464 * [taylor]: Taking taylor expansion of 1.0 in n 0.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.464 * [taylor]: Taking taylor expansion of k in n 0.472 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.472 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.472 * [taylor]: Taking taylor expansion of +nan.0 in n 0.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.472 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.472 * [taylor]: Taking taylor expansion of 0.5 in n 0.472 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.472 * [taylor]: Taking taylor expansion of 2.0 in n 0.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.472 * [taylor]: Taking taylor expansion of PI in n 0.472 * [taylor]: Taking taylor expansion of n in n 0.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.473 * [taylor]: Taking taylor expansion of k in n 0.490 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.490 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.490 * [taylor]: Taking taylor expansion of +nan.0 in n 0.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.490 * [taylor]: Taking taylor expansion of 0.5 in n 0.490 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.490 * [taylor]: Taking taylor expansion of 2.0 in n 0.490 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.490 * [taylor]: Taking taylor expansion of PI in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.491 * [taylor]: Taking taylor expansion of k in n 0.500 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.500 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.500 * [taylor]: Taking taylor expansion of 1.0 in n 0.500 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.500 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.500 * [taylor]: Taking taylor expansion of 0.5 in n 0.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.500 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.500 * [taylor]: Taking taylor expansion of k in n 0.500 * [taylor]: Taking taylor expansion of 1.0 in n 0.500 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.500 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.500 * [taylor]: Taking taylor expansion of -2.0 in n 0.500 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.500 * [taylor]: Taking taylor expansion of PI in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.504 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.504 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.504 * [taylor]: Taking taylor expansion of -1 in n 0.504 * [taylor]: Taking taylor expansion of k in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.505 * [taylor]: Taking taylor expansion of 1.0 in k 0.505 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.505 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.505 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.505 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.505 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.505 * [taylor]: Taking taylor expansion of 0.5 in k 0.505 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.505 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.505 * [taylor]: Taking taylor expansion of k in k 0.506 * [taylor]: Taking taylor expansion of 1.0 in k 0.506 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.506 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.506 * [taylor]: Taking taylor expansion of -2.0 in k 0.506 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.506 * [taylor]: Taking taylor expansion of PI in k 0.506 * [taylor]: Taking taylor expansion of n in k 0.506 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.506 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.506 * [taylor]: Taking taylor expansion of -1 in k 0.506 * [taylor]: Taking taylor expansion of k in k 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.508 * [taylor]: Taking taylor expansion of 1.0 in k 0.508 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.508 * [taylor]: Taking taylor expansion of 0.5 in k 0.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.508 * [taylor]: Taking taylor expansion of k in k 0.508 * [taylor]: Taking taylor expansion of 1.0 in k 0.508 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.508 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.508 * [taylor]: Taking taylor expansion of -2.0 in k 0.508 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.508 * [taylor]: Taking taylor expansion of PI in k 0.509 * [taylor]: Taking taylor expansion of n in k 0.509 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.509 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.509 * [taylor]: Taking taylor expansion of -1 in k 0.509 * [taylor]: Taking taylor expansion of k in k 0.511 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.511 * [taylor]: Taking taylor expansion of k in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.511 * [taylor]: Taking taylor expansion of -2.0 in n 0.511 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.511 * [taylor]: Taking taylor expansion of PI in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.526 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.526 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.526 * [taylor]: Taking taylor expansion of +nan.0 in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.526 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.526 * [taylor]: Taking taylor expansion of 0.5 in n 0.526 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.526 * [taylor]: Taking taylor expansion of k in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.526 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.526 * [taylor]: Taking taylor expansion of -2.0 in n 0.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.526 * [taylor]: Taking taylor expansion of PI in n 0.526 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.544 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.544 * [taylor]: Taking taylor expansion of +nan.0 in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.544 * [taylor]: Taking taylor expansion of 0.5 in n 0.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.544 * [taylor]: Taking taylor expansion of k in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.544 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.544 * [taylor]: Taking taylor expansion of -2.0 in n 0.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.544 * [taylor]: Taking taylor expansion of PI in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.554 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.554 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.554 * [taylor]: Taking taylor expansion of 0.5 in k 0.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.555 * [taylor]: Taking taylor expansion of 1.0 in k 0.555 * [taylor]: Taking taylor expansion of k in k 0.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.555 * [taylor]: Taking taylor expansion of 2.0 in k 0.555 * [taylor]: Taking taylor expansion of (* n PI) in k 0.555 * [taylor]: Taking taylor expansion of n in k 0.555 * [taylor]: Taking taylor expansion of PI in k 0.556 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.556 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.556 * [taylor]: Taking taylor expansion of 0.5 in n 0.556 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of k in n 0.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.556 * [taylor]: Taking taylor expansion of 2.0 in n 0.556 * [taylor]: Taking taylor expansion of (* n PI) in n 0.556 * [taylor]: Taking taylor expansion of n in n 0.556 * [taylor]: Taking taylor expansion of PI in n 0.561 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.561 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.561 * [taylor]: Taking taylor expansion of 0.5 in n 0.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of k in n 0.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.561 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.561 * [taylor]: Taking taylor expansion of 2.0 in n 0.561 * [taylor]: Taking taylor expansion of (* n PI) in n 0.561 * [taylor]: Taking taylor expansion of n in n 0.561 * [taylor]: Taking taylor expansion of PI in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.567 * [taylor]: Taking taylor expansion of 0.5 in k 0.567 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.567 * [taylor]: Taking taylor expansion of 1.0 in k 0.567 * [taylor]: Taking taylor expansion of k in k 0.567 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.567 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.567 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.567 * [taylor]: Taking taylor expansion of 2.0 in k 0.567 * [taylor]: Taking taylor expansion of PI in k 0.568 * [taylor]: Taking taylor expansion of (log n) in k 0.568 * [taylor]: Taking taylor expansion of n in k 0.577 * [taylor]: Taking taylor expansion of 0 in k 0.592 * [taylor]: Taking taylor expansion of 0 in k 0.617 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.618 * [taylor]: Taking taylor expansion of 0.5 in k 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.618 * [taylor]: Taking taylor expansion of 1.0 in k 0.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.618 * [taylor]: Taking taylor expansion of k in k 0.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.618 * [taylor]: Taking taylor expansion of 2.0 in k 0.618 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.618 * [taylor]: Taking taylor expansion of PI in k 0.618 * [taylor]: Taking taylor expansion of n in k 0.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.619 * [taylor]: Taking taylor expansion of k in n 0.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.619 * [taylor]: Taking taylor expansion of 2.0 in n 0.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.623 * [taylor]: Taking taylor expansion of k in n 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.623 * [taylor]: Taking taylor expansion of PI in n 0.623 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.627 * [taylor]: Taking taylor expansion of 0.5 in k 0.627 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.627 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.627 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.627 * [taylor]: Taking taylor expansion of 2.0 in k 0.627 * [taylor]: Taking taylor expansion of PI in k 0.628 * [taylor]: Taking taylor expansion of (log n) in k 0.628 * [taylor]: Taking taylor expansion of n in k 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.628 * [taylor]: Taking taylor expansion of 1.0 in k 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.628 * [taylor]: Taking taylor expansion of k in k 0.637 * [taylor]: Taking taylor expansion of 0 in k 0.644 * [taylor]: Taking taylor expansion of 0 in k 0.653 * [taylor]: Taking taylor expansion of 0 in k 0.655 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.655 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.655 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.655 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.655 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.655 * [taylor]: Taking taylor expansion of 0.5 in k 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.655 * [taylor]: Taking taylor expansion of k in k 0.655 * [taylor]: Taking taylor expansion of 1.0 in k 0.655 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.655 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.655 * [taylor]: Taking taylor expansion of -2.0 in k 0.655 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.655 * [taylor]: Taking taylor expansion of PI in k 0.655 * [taylor]: Taking taylor expansion of n in k 0.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.656 * [taylor]: Taking taylor expansion of -2.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.656 * [taylor]: Taking taylor expansion of PI in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.660 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.660 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.660 * [taylor]: Taking taylor expansion of 0.5 in n 0.660 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.660 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.660 * [taylor]: Taking taylor expansion of k in n 0.660 * [taylor]: Taking taylor expansion of 1.0 in n 0.660 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.660 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.660 * [taylor]: Taking taylor expansion of -2.0 in n 0.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.660 * [taylor]: Taking taylor expansion of PI in n 0.660 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.664 * [taylor]: Taking taylor expansion of 0.5 in k 0.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.664 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.664 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.664 * [taylor]: Taking taylor expansion of -2.0 in k 0.664 * [taylor]: Taking taylor expansion of PI in k 0.665 * [taylor]: Taking taylor expansion of (log n) in k 0.665 * [taylor]: Taking taylor expansion of n in k 0.674 * [taylor]: Taking taylor expansion of 0 in k 0.681 * [taylor]: Taking taylor expansion of 0 in k 0.690 * [taylor]: Taking taylor expansion of 0 in k 0.691 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.697 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (* n PI) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (* n PI) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.709 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.710 * [taylor]: Taking taylor expansion of 2.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.719 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.719 * [taylor]: Taking taylor expansion of -2.0 in n 0.719 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.719 * [taylor]: Taking taylor expansion of PI in n 0.719 * [taylor]: Taking taylor expansion of n in n 0.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.719 * [taylor]: Taking taylor expansion of -2.0 in n 0.719 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.719 * [taylor]: Taking taylor expansion of PI in n 0.719 * [taylor]: Taking taylor expansion of n in n 0.727 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.728 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.728 * [taylor]: Taking taylor expansion of k in k 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.729 * [taylor]: Taking taylor expansion of 1.0 in k 0.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.729 * [taylor]: Taking taylor expansion of k in k 0.740 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.741 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.741 * [taylor]: Taking taylor expansion of 1.0 in k 0.741 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.751 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.751 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.751 * [taylor]: Taking taylor expansion of 1.0 in k 0.752 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.752 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.752 * [taylor]: Taking taylor expansion of -1 in k 0.752 * [taylor]: Taking taylor expansion of k in k 0.753 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.753 * [taylor]: Taking taylor expansion of 1.0 in k 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.753 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.753 * [taylor]: Taking taylor expansion of -1 in k 0.753 * [taylor]: Taking taylor expansion of k in k 0.765 * * * [progress]: simplifying candidates 0.767 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (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)))) (* (cbrt (* (/ 1.0 (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 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)))) (* (/ 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)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (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) 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) (* (/ 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))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 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))) (* (+ (+ (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)) 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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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (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 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 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) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 0.869 * * * [progress]: adding candidates to table 1.223 * * [progress]: iteration 2 / 4 1.223 * * * [progress]: picking best candidate 1.248 * * * * [pick]: Picked # 1.248 * * * [progress]: localizing error 1.267 * * * [progress]: generating rewritten candidates 1.267 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.282 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.299 * * * [progress]: generating series expansions 1.299 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.300 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.300 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.300 * [taylor]: Taking taylor expansion of 1.0 in k 1.300 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.300 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.301 * [taylor]: Taking taylor expansion of k in k 1.302 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.302 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.302 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.302 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.302 * [taylor]: Taking taylor expansion of 0.5 in k 1.302 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.302 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.302 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.302 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.302 * [taylor]: Taking taylor expansion of 1.0 in k 1.302 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.302 * [taylor]: Taking taylor expansion of 2.0 in k 1.304 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.304 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.304 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.304 * [taylor]: Taking taylor expansion of 1.0 in k 1.304 * [taylor]: Taking taylor expansion of (log n) in k 1.304 * [taylor]: Taking taylor expansion of n in k 1.304 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.304 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.304 * [taylor]: Taking taylor expansion of 1.0 in k 1.304 * [taylor]: Taking taylor expansion of (log PI) in k 1.304 * [taylor]: Taking taylor expansion of PI in k 1.310 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.310 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.310 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.310 * [taylor]: Taking taylor expansion of 0.5 in k 1.310 * [taylor]: Taking taylor expansion of k in k 1.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.310 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.310 * [taylor]: Taking taylor expansion of 2.0 in k 1.310 * [taylor]: Taking taylor expansion of (* n PI) in k 1.310 * [taylor]: Taking taylor expansion of n in k 1.310 * [taylor]: Taking taylor expansion of PI in k 1.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.313 * [taylor]: Taking taylor expansion of 1.0 in n 1.313 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.313 * [taylor]: Taking taylor expansion of k in n 1.313 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.313 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.313 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.313 * [taylor]: Taking taylor expansion of 0.5 in n 1.313 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.313 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.313 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.313 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.313 * [taylor]: Taking taylor expansion of 1.0 in n 1.313 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.313 * [taylor]: Taking taylor expansion of 2.0 in n 1.315 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.315 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.315 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.315 * [taylor]: Taking taylor expansion of 1.0 in n 1.315 * [taylor]: Taking taylor expansion of (log n) in n 1.315 * [taylor]: Taking taylor expansion of n in n 1.316 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.316 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.316 * [taylor]: Taking taylor expansion of 1.0 in n 1.316 * [taylor]: Taking taylor expansion of (log PI) in n 1.316 * [taylor]: Taking taylor expansion of PI in n 1.321 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.321 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.325 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.325 * [taylor]: Taking taylor expansion of 0.5 in n 1.325 * [taylor]: Taking taylor expansion of k in n 1.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.325 * [taylor]: Taking taylor expansion of 2.0 in n 1.326 * [taylor]: Taking taylor expansion of (* n PI) in n 1.326 * [taylor]: Taking taylor expansion of n in n 1.326 * [taylor]: Taking taylor expansion of PI in n 1.332 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.332 * [taylor]: Taking taylor expansion of 1.0 in n 1.332 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.332 * [taylor]: Taking taylor expansion of k in n 1.332 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.332 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.332 * [taylor]: Taking taylor expansion of 0.5 in n 1.332 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.332 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.332 * [taylor]: Taking taylor expansion of 1.0 in n 1.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.332 * [taylor]: Taking taylor expansion of 2.0 in n 1.334 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.334 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.334 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.334 * [taylor]: Taking taylor expansion of 1.0 in n 1.334 * [taylor]: Taking taylor expansion of (log n) in n 1.334 * [taylor]: Taking taylor expansion of n in n 1.335 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.335 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.335 * [taylor]: Taking taylor expansion of 1.0 in n 1.335 * [taylor]: Taking taylor expansion of (log PI) in n 1.335 * [taylor]: Taking taylor expansion of PI in n 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.340 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.340 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.340 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.340 * [taylor]: Taking taylor expansion of 0.5 in n 1.340 * [taylor]: Taking taylor expansion of k in n 1.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.340 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.340 * [taylor]: Taking taylor expansion of 2.0 in n 1.340 * [taylor]: Taking taylor expansion of (* n PI) in n 1.340 * [taylor]: Taking taylor expansion of n in n 1.340 * [taylor]: Taking taylor expansion of PI in n 1.351 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.351 * [taylor]: Taking taylor expansion of 1.0 in k 1.351 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.352 * [taylor]: Taking taylor expansion of k in k 1.353 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.353 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.353 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.353 * [taylor]: Taking taylor expansion of 0.5 in k 1.353 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.353 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.353 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.353 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.353 * [taylor]: Taking taylor expansion of 1.0 in k 1.353 * [taylor]: Taking taylor expansion of (log PI) in k 1.353 * [taylor]: Taking taylor expansion of PI in k 1.355 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.355 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.355 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.355 * [taylor]: Taking taylor expansion of 1.0 in k 1.355 * [taylor]: Taking taylor expansion of (log n) in k 1.355 * [taylor]: Taking taylor expansion of n in k 1.355 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.355 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.355 * [taylor]: Taking taylor expansion of 1.0 in k 1.355 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.355 * [taylor]: Taking taylor expansion of 2.0 in k 1.361 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.361 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.361 * [taylor]: Taking taylor expansion of 0.5 in k 1.361 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.361 * [taylor]: Taking taylor expansion of k in k 1.361 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.361 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.361 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.361 * [taylor]: Taking taylor expansion of 2.0 in k 1.361 * [taylor]: Taking taylor expansion of PI in k 1.362 * [taylor]: Taking taylor expansion of (log n) in k 1.362 * [taylor]: Taking taylor expansion of n in k 1.391 * [taylor]: Taking taylor expansion of 0 in k 1.448 * [taylor]: Taking taylor expansion of 0 in k 1.547 * [taylor]: Taking taylor expansion of 0 in k 1.665 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.665 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.665 * [taylor]: Taking taylor expansion of 1.0 in k 1.665 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.665 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.665 * [taylor]: Taking taylor expansion of k in k 1.666 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.666 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.666 * [taylor]: Taking taylor expansion of 0.5 in k 1.666 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.666 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.666 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.666 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.666 * [taylor]: Taking taylor expansion of 1.0 in k 1.666 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.666 * [taylor]: Taking taylor expansion of 2.0 in k 1.668 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.668 * [taylor]: Taking taylor expansion of 1.0 in k 1.668 * [taylor]: Taking taylor expansion of (log PI) in k 1.668 * [taylor]: Taking taylor expansion of PI in k 1.675 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.675 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.675 * [taylor]: Taking taylor expansion of 1.0 in k 1.675 * [taylor]: Taking taylor expansion of (log n) in k 1.675 * [taylor]: Taking taylor expansion of n in k 1.682 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.682 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.682 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.682 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.682 * [taylor]: Taking taylor expansion of 0.5 in k 1.682 * [taylor]: Taking taylor expansion of k in k 1.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.682 * [taylor]: Taking taylor expansion of 2.0 in k 1.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.682 * [taylor]: Taking taylor expansion of PI in k 1.682 * [taylor]: Taking taylor expansion of n in k 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.683 * [taylor]: Taking taylor expansion of 1.0 in n 1.683 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.683 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.683 * [taylor]: Taking taylor expansion of k in n 1.683 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.683 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.683 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.683 * [taylor]: Taking taylor expansion of 0.5 in n 1.683 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.683 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.683 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.683 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.683 * [taylor]: Taking taylor expansion of 1.0 in n 1.683 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.683 * [taylor]: Taking taylor expansion of 2.0 in n 1.685 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.685 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.685 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.685 * [taylor]: Taking taylor expansion of 1.0 in n 1.685 * [taylor]: Taking taylor expansion of (log PI) in n 1.685 * [taylor]: Taking taylor expansion of PI in n 1.687 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.687 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.687 * [taylor]: Taking taylor expansion of 1.0 in n 1.687 * [taylor]: Taking taylor expansion of (log n) in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.694 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.694 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.694 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.694 * [taylor]: Taking taylor expansion of 0.5 in n 1.694 * [taylor]: Taking taylor expansion of k in n 1.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.694 * [taylor]: Taking taylor expansion of 2.0 in n 1.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.694 * [taylor]: Taking taylor expansion of PI in n 1.694 * [taylor]: Taking taylor expansion of n in n 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.699 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.699 * [taylor]: Taking taylor expansion of k in n 1.699 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.699 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.699 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.699 * [taylor]: Taking taylor expansion of 0.5 in n 1.699 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.699 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.699 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.699 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.699 * [taylor]: Taking taylor expansion of 2.0 in n 1.701 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.701 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.701 * [taylor]: Taking taylor expansion of 1.0 in n 1.701 * [taylor]: Taking taylor expansion of (log PI) in n 1.701 * [taylor]: Taking taylor expansion of PI in n 1.702 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.703 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.703 * [taylor]: Taking taylor expansion of 1.0 in n 1.703 * [taylor]: Taking taylor expansion of (log n) in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.710 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.710 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.710 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.710 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.710 * [taylor]: Taking taylor expansion of 0.5 in n 1.710 * [taylor]: Taking taylor expansion of k in n 1.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.710 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.710 * [taylor]: Taking taylor expansion of PI in n 1.710 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.721 * [taylor]: Taking taylor expansion of 1.0 in k 1.721 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.721 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.721 * [taylor]: Taking taylor expansion of k in k 1.722 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.722 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.722 * [taylor]: Taking taylor expansion of 0.5 in k 1.722 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.722 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.722 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.722 * [taylor]: Taking taylor expansion of 1.0 in k 1.722 * [taylor]: Taking taylor expansion of (log PI) in k 1.722 * [taylor]: Taking taylor expansion of PI in k 1.724 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.724 * [taylor]: Taking taylor expansion of 1.0 in k 1.724 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.724 * [taylor]: Taking taylor expansion of 2.0 in k 1.726 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.726 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.726 * [taylor]: Taking taylor expansion of 1.0 in k 1.726 * [taylor]: Taking taylor expansion of (log n) in k 1.726 * [taylor]: Taking taylor expansion of n in k 1.732 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.732 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.732 * [taylor]: Taking taylor expansion of 0.5 in k 1.732 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.732 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.733 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.733 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.733 * [taylor]: Taking taylor expansion of 2.0 in k 1.733 * [taylor]: Taking taylor expansion of PI in k 1.733 * [taylor]: Taking taylor expansion of (log n) in k 1.734 * [taylor]: Taking taylor expansion of n in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.772 * [taylor]: Taking taylor expansion of 0 in k 1.828 * [taylor]: Taking taylor expansion of 0 in k 1.912 * [taylor]: Taking taylor expansion of 0 in k 1.969 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.970 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.970 * [taylor]: Taking taylor expansion of 1.0 in k 1.970 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.970 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.970 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.970 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.970 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.970 * [taylor]: Taking taylor expansion of -1 in k 1.970 * [taylor]: Taking taylor expansion of k in k 1.971 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.971 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.971 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.971 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.971 * [taylor]: Taking taylor expansion of -0.5 in k 1.971 * [taylor]: Taking taylor expansion of k in k 1.971 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.971 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.972 * [taylor]: Taking taylor expansion of -2.0 in k 1.972 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.972 * [taylor]: Taking taylor expansion of PI in k 1.972 * [taylor]: Taking taylor expansion of n in k 1.972 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.972 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.972 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.972 * [taylor]: Taking taylor expansion of 0.5 in k 1.972 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.972 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.973 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.973 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.973 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.973 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.973 * [taylor]: Taking taylor expansion of 1.0 in k 1.973 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.973 * [taylor]: Taking taylor expansion of -2.0 in k 1.974 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.974 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.974 * [taylor]: Taking taylor expansion of 1.0 in k 1.974 * [taylor]: Taking taylor expansion of (log PI) in k 1.974 * [taylor]: Taking taylor expansion of PI in k 1.976 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.976 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.976 * [taylor]: Taking taylor expansion of 1.0 in k 1.976 * [taylor]: Taking taylor expansion of (log n) in k 1.976 * [taylor]: Taking taylor expansion of n in k 1.983 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.983 * [taylor]: Taking taylor expansion of 1.0 in n 1.983 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.983 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.983 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.983 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.983 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.983 * [taylor]: Taking taylor expansion of -1 in n 1.983 * [taylor]: Taking taylor expansion of k in n 1.983 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.983 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.983 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.983 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.983 * [taylor]: Taking taylor expansion of -0.5 in n 1.983 * [taylor]: Taking taylor expansion of k in n 1.983 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.984 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.984 * [taylor]: Taking taylor expansion of -2.0 in n 1.984 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.984 * [taylor]: Taking taylor expansion of PI in n 1.984 * [taylor]: Taking taylor expansion of n in n 1.988 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.989 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.989 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.989 * [taylor]: Taking taylor expansion of 0.5 in n 1.989 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.989 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.989 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.989 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.989 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.989 * [taylor]: Taking taylor expansion of 1.0 in n 1.989 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.989 * [taylor]: Taking taylor expansion of -2.0 in n 1.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.990 * [taylor]: Taking taylor expansion of 1.0 in n 1.990 * [taylor]: Taking taylor expansion of (log PI) in n 1.990 * [taylor]: Taking taylor expansion of PI in n 1.992 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.992 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.992 * [taylor]: Taking taylor expansion of 1.0 in n 1.992 * [taylor]: Taking taylor expansion of (log n) in n 1.992 * [taylor]: Taking taylor expansion of n in n 1.999 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.999 * [taylor]: Taking taylor expansion of 1.0 in n 1.999 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.999 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.999 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.999 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.999 * [taylor]: Taking taylor expansion of -1 in n 1.999 * [taylor]: Taking taylor expansion of k in n 2.000 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.000 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.000 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.000 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.000 * [taylor]: Taking taylor expansion of -0.5 in n 2.000 * [taylor]: Taking taylor expansion of k in n 2.000 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.000 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.000 * [taylor]: Taking taylor expansion of -2.0 in n 2.000 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.000 * [taylor]: Taking taylor expansion of PI in n 2.000 * [taylor]: Taking taylor expansion of n in n 2.005 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.005 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.005 * [taylor]: Taking taylor expansion of 0.5 in n 2.005 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.005 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.005 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.005 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.005 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.005 * [taylor]: Taking taylor expansion of 1.0 in n 2.005 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.005 * [taylor]: Taking taylor expansion of -2.0 in n 2.007 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.007 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.007 * [taylor]: Taking taylor expansion of 1.0 in n 2.007 * [taylor]: Taking taylor expansion of (log PI) in n 2.007 * [taylor]: Taking taylor expansion of PI in n 2.009 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.009 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.009 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.009 * [taylor]: Taking taylor expansion of 1.0 in n 2.009 * [taylor]: Taking taylor expansion of (log n) in n 2.009 * [taylor]: Taking taylor expansion of n in n 2.020 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.020 * [taylor]: Taking taylor expansion of 1.0 in k 2.020 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.020 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.020 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.020 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.020 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.020 * [taylor]: Taking taylor expansion of -0.5 in k 2.020 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.020 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.020 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.020 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.020 * [taylor]: Taking taylor expansion of -2.0 in k 2.020 * [taylor]: Taking taylor expansion of PI in k 2.021 * [taylor]: Taking taylor expansion of (log n) in k 2.021 * [taylor]: Taking taylor expansion of n in k 2.021 * [taylor]: Taking taylor expansion of k in k 2.030 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.030 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.030 * [taylor]: Taking taylor expansion of -1 in k 2.030 * [taylor]: Taking taylor expansion of k in k 2.033 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.033 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.034 * [taylor]: Taking taylor expansion of 0.5 in k 2.034 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.034 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.034 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.034 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.034 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.034 * [taylor]: Taking taylor expansion of 1.0 in k 2.034 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.034 * [taylor]: Taking taylor expansion of -2.0 in k 2.035 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.035 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.035 * [taylor]: Taking taylor expansion of 1.0 in k 2.035 * [taylor]: Taking taylor expansion of (log PI) in k 2.035 * [taylor]: Taking taylor expansion of PI in k 2.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.037 * [taylor]: Taking taylor expansion of 1.0 in k 2.037 * [taylor]: Taking taylor expansion of (log n) in k 2.037 * [taylor]: Taking taylor expansion of n in k 2.074 * [taylor]: Taking taylor expansion of 0 in k 2.141 * [taylor]: Taking taylor expansion of 0 in k 2.186 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.187 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.187 * [taylor]: Taking taylor expansion of 2.0 in n 2.187 * [taylor]: Taking taylor expansion of (* n PI) in n 2.187 * [taylor]: Taking taylor expansion of n in n 2.187 * [taylor]: Taking taylor expansion of PI in n 2.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.187 * [taylor]: Taking taylor expansion of 2.0 in n 2.187 * [taylor]: Taking taylor expansion of (* n PI) in n 2.187 * [taylor]: Taking taylor expansion of n in n 2.187 * [taylor]: Taking taylor expansion of PI in n 2.205 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.205 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.205 * [taylor]: Taking taylor expansion of 2.0 in n 2.205 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.205 * [taylor]: Taking taylor expansion of PI in n 2.205 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.206 * [taylor]: Taking taylor expansion of 2.0 in n 2.206 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.206 * [taylor]: Taking taylor expansion of PI in n 2.206 * [taylor]: Taking taylor expansion of n in n 2.214 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.214 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.215 * [taylor]: Taking taylor expansion of -2.0 in n 2.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.215 * [taylor]: Taking taylor expansion of PI in n 2.215 * [taylor]: Taking taylor expansion of n in n 2.215 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.215 * [taylor]: Taking taylor expansion of -2.0 in n 2.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.215 * [taylor]: Taking taylor expansion of PI in n 2.215 * [taylor]: Taking taylor expansion of n in n 2.224 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.224 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.224 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.224 * [taylor]: Taking taylor expansion of 2.0 in n 2.224 * [taylor]: Taking taylor expansion of (* n PI) in n 2.224 * [taylor]: Taking taylor expansion of n in n 2.224 * [taylor]: Taking taylor expansion of PI in n 2.224 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.224 * [taylor]: Taking taylor expansion of 2.0 in n 2.224 * [taylor]: Taking taylor expansion of (* n PI) in n 2.224 * [taylor]: Taking taylor expansion of n in n 2.224 * [taylor]: Taking taylor expansion of PI in n 2.236 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.236 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.236 * [taylor]: Taking taylor expansion of 2.0 in n 2.236 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.236 * [taylor]: Taking taylor expansion of PI in n 2.236 * [taylor]: Taking taylor expansion of n in n 2.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.237 * [taylor]: Taking taylor expansion of 2.0 in n 2.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.237 * [taylor]: Taking taylor expansion of PI in n 2.237 * [taylor]: Taking taylor expansion of n in n 2.245 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.245 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.245 * [taylor]: Taking taylor expansion of -2.0 in n 2.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.245 * [taylor]: Taking taylor expansion of PI in n 2.245 * [taylor]: Taking taylor expansion of n in n 2.246 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.246 * [taylor]: Taking taylor expansion of -2.0 in n 2.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.246 * [taylor]: Taking taylor expansion of PI in n 2.246 * [taylor]: Taking taylor expansion of n in n 2.254 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.255 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.255 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.255 * [taylor]: Taking taylor expansion of 0.5 in n 2.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.255 * [taylor]: Taking taylor expansion of 2.0 in n 2.255 * [taylor]: Taking taylor expansion of (* n PI) in n 2.255 * [taylor]: Taking taylor expansion of n in n 2.255 * [taylor]: Taking taylor expansion of PI in n 2.260 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.261 * [taylor]: Taking taylor expansion of 0.5 in n 2.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.261 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.261 * [taylor]: Taking taylor expansion of 2.0 in n 2.261 * [taylor]: Taking taylor expansion of (* n PI) in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.261 * [taylor]: Taking taylor expansion of PI in n 2.344 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.344 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.345 * [taylor]: Taking taylor expansion of 0.5 in n 2.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.345 * [taylor]: Taking taylor expansion of 2.0 in n 2.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.345 * [taylor]: Taking taylor expansion of PI in n 2.345 * [taylor]: Taking taylor expansion of n in n 2.348 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.348 * [taylor]: Taking taylor expansion of 0.5 in n 2.348 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.348 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.348 * [taylor]: Taking taylor expansion of 2.0 in n 2.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.348 * [taylor]: Taking taylor expansion of PI in n 2.348 * [taylor]: Taking taylor expansion of n in n 2.429 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.429 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.429 * [taylor]: Taking taylor expansion of 0.5 in n 2.429 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.429 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.429 * [taylor]: Taking taylor expansion of -2.0 in n 2.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.429 * [taylor]: Taking taylor expansion of PI in n 2.429 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.433 * [taylor]: Taking taylor expansion of 0.5 in n 2.433 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.433 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.433 * [taylor]: Taking taylor expansion of -2.0 in n 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.513 * * * [progress]: simplifying candidates 2.515 * [simplify]: Simplifying using # : (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ 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1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (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) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.619 * * * [progress]: adding candidates to table 2.833 * * [progress]: iteration 3 / 4 2.833 * * * [progress]: picking best candidate 2.853 * * * * [pick]: Picked # 2.853 * * * [progress]: localizing error 2.871 * * * [progress]: generating rewritten candidates 2.871 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.886 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.891 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.896 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.905 * * * [progress]: generating series expansions 2.905 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.906 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 2.906 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.906 * [taylor]: Taking taylor expansion of 1.0 in n 2.906 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.906 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.906 * [taylor]: Taking taylor expansion of k in n 2.906 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.906 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.906 * [taylor]: Taking taylor expansion of 0.5 in n 2.906 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.906 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.906 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.906 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.906 * [taylor]: Taking taylor expansion of 1.0 in n 2.906 * [taylor]: Taking taylor expansion of (log PI) in n 2.906 * [taylor]: Taking taylor expansion of PI in n 2.908 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.908 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.908 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.908 * [taylor]: Taking taylor expansion of 1.0 in n 2.908 * [taylor]: Taking taylor expansion of (log n) in n 2.908 * [taylor]: Taking taylor expansion of n in n 2.909 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.909 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.909 * [taylor]: Taking taylor expansion of 1.0 in n 2.909 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.909 * [taylor]: Taking taylor expansion of 2.0 in n 2.915 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.915 * [taylor]: Taking taylor expansion of 1.0 in k 2.915 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.915 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.915 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.915 * [taylor]: Taking taylor expansion of k in k 2.916 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.916 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.916 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.916 * [taylor]: Taking taylor expansion of 0.5 in k 2.916 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.916 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.916 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.916 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.916 * [taylor]: Taking taylor expansion of 1.0 in k 2.916 * [taylor]: Taking taylor expansion of (log PI) in k 2.917 * [taylor]: Taking taylor expansion of PI in k 2.918 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.918 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.918 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.918 * [taylor]: Taking taylor expansion of 1.0 in k 2.918 * [taylor]: Taking taylor expansion of (log n) in k 2.918 * [taylor]: Taking taylor expansion of n in k 2.919 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.919 * [taylor]: Taking taylor expansion of 1.0 in k 2.919 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.919 * [taylor]: Taking taylor expansion of 2.0 in k 2.924 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.924 * [taylor]: Taking taylor expansion of 1.0 in k 2.924 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.924 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.924 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.924 * [taylor]: Taking taylor expansion of k in k 2.925 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.925 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.925 * [taylor]: Taking taylor expansion of 0.5 in k 2.925 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.925 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.925 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.925 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.925 * [taylor]: Taking taylor expansion of 1.0 in k 2.925 * [taylor]: Taking taylor expansion of (log PI) in k 2.926 * [taylor]: Taking taylor expansion of PI in k 2.927 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.927 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.927 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.927 * [taylor]: Taking taylor expansion of 1.0 in k 2.927 * [taylor]: Taking taylor expansion of (log n) in k 2.927 * [taylor]: Taking taylor expansion of n in k 2.928 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.928 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.928 * [taylor]: Taking taylor expansion of 1.0 in k 2.928 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.928 * [taylor]: Taking taylor expansion of 2.0 in k 2.934 * [taylor]: Taking taylor expansion of 0 in n 2.947 * [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 2.947 * [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 2.947 * [taylor]: Taking taylor expansion of +nan.0 in n 2.947 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.947 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.947 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.947 * [taylor]: Taking taylor expansion of 0.5 in n 2.947 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.947 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.947 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.947 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.947 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.947 * [taylor]: Taking taylor expansion of 1.0 in n 2.947 * [taylor]: Taking taylor expansion of (log PI) in n 2.947 * [taylor]: Taking taylor expansion of PI in n 2.949 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.949 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.949 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.949 * [taylor]: Taking taylor expansion of 1.0 in n 2.949 * [taylor]: Taking taylor expansion of (log n) in n 2.949 * [taylor]: Taking taylor expansion of n in n 2.950 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.950 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.950 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.950 * [taylor]: Taking taylor expansion of 1.0 in n 2.950 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.950 * [taylor]: Taking taylor expansion of 2.0 in n 2.985 * [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 2.985 * [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 2.985 * [taylor]: Taking taylor expansion of +nan.0 in n 2.985 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.985 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.985 * [taylor]: Taking taylor expansion of 0.5 in n 2.985 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.985 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.985 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.986 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.986 * [taylor]: Taking taylor expansion of 1.0 in n 2.986 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.986 * [taylor]: Taking taylor expansion of 2.0 in n 2.987 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.987 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.987 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.987 * [taylor]: Taking taylor expansion of 1.0 in n 2.987 * [taylor]: Taking taylor expansion of (log n) in n 2.987 * [taylor]: Taking taylor expansion of n in n 2.988 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.988 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.988 * [taylor]: Taking taylor expansion of 1.0 in n 2.988 * [taylor]: Taking taylor expansion of (log PI) in n 2.988 * [taylor]: Taking taylor expansion of PI in n 3.039 * [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 3.039 * [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 3.039 * [taylor]: Taking taylor expansion of +nan.0 in n 3.039 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.039 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.039 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.039 * [taylor]: Taking taylor expansion of 0.5 in n 3.039 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.039 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.039 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.039 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.039 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.039 * [taylor]: Taking taylor expansion of 1.0 in n 3.039 * [taylor]: Taking taylor expansion of (log PI) in n 3.039 * [taylor]: Taking taylor expansion of PI in n 3.041 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.041 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.041 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.041 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.041 * [taylor]: Taking taylor expansion of 1.0 in n 3.041 * [taylor]: Taking taylor expansion of (log n) in n 3.041 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.042 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.042 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.042 * [taylor]: Taking taylor expansion of 1.0 in n 3.042 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.042 * [taylor]: Taking taylor expansion of 2.0 in n 3.053 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.053 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.053 * [taylor]: Taking taylor expansion of 1.0 in n 3.053 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.053 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.053 * [taylor]: Taking taylor expansion of k in n 3.053 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.053 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.053 * [taylor]: Taking taylor expansion of 0.5 in n 3.053 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.053 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.053 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.053 * [taylor]: Taking taylor expansion of 1.0 in n 3.053 * [taylor]: Taking taylor expansion of (log PI) in n 3.053 * [taylor]: Taking taylor expansion of PI in n 3.055 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.055 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.055 * [taylor]: Taking taylor expansion of 1.0 in n 3.055 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.055 * [taylor]: Taking taylor expansion of 2.0 in n 3.057 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.057 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.057 * [taylor]: Taking taylor expansion of 1.0 in n 3.057 * [taylor]: Taking taylor expansion of (log n) in n 3.057 * [taylor]: Taking taylor expansion of n in n 3.070 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 3.071 * [taylor]: Taking taylor expansion of 1.0 in k 3.071 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 3.071 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.071 * [taylor]: Taking taylor expansion of k in k 3.072 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.072 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.072 * [taylor]: Taking taylor expansion of 0.5 in k 3.072 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.072 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.072 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.072 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.072 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.072 * [taylor]: Taking taylor expansion of 1.0 in k 3.072 * [taylor]: Taking taylor expansion of (log PI) in k 3.072 * [taylor]: Taking taylor expansion of PI in k 3.074 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.074 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.074 * [taylor]: Taking taylor expansion of 1.0 in k 3.074 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.074 * [taylor]: Taking taylor expansion of 2.0 in k 3.076 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.076 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.076 * [taylor]: Taking taylor expansion of 1.0 in k 3.076 * [taylor]: Taking taylor expansion of (log n) in k 3.076 * [taylor]: Taking taylor expansion of n in k 3.082 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 3.082 * [taylor]: Taking taylor expansion of 1.0 in k 3.082 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 3.082 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.082 * [taylor]: Taking taylor expansion of k in k 3.083 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.084 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.084 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.084 * [taylor]: Taking taylor expansion of 0.5 in k 3.084 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.084 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.084 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.084 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.084 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.084 * [taylor]: Taking taylor expansion of 1.0 in k 3.084 * [taylor]: Taking taylor expansion of (log PI) in k 3.084 * [taylor]: Taking taylor expansion of PI in k 3.086 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.086 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.086 * [taylor]: Taking taylor expansion of 1.0 in k 3.086 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.086 * [taylor]: Taking taylor expansion of 2.0 in k 3.087 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.087 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.087 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [taylor]: Taking taylor expansion of (log n) in k 3.087 * [taylor]: Taking taylor expansion of n in k 3.096 * [taylor]: Taking taylor expansion of 0 in n 3.111 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.111 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.111 * [taylor]: Taking taylor expansion of +nan.0 in n 3.111 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.111 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.111 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.111 * [taylor]: Taking taylor expansion of 0.5 in n 3.111 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.111 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.111 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.111 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.111 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.111 * [taylor]: Taking taylor expansion of 1.0 in n 3.111 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.111 * [taylor]: Taking taylor expansion of 2.0 in n 3.113 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.113 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.113 * [taylor]: Taking taylor expansion of 1.0 in n 3.113 * [taylor]: Taking taylor expansion of (log PI) in n 3.113 * [taylor]: Taking taylor expansion of PI in n 3.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.115 * [taylor]: Taking taylor expansion of 1.0 in n 3.115 * [taylor]: Taking taylor expansion of (log n) in n 3.115 * [taylor]: Taking taylor expansion of n in n 3.150 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 3.150 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 3.150 * [taylor]: Taking taylor expansion of +nan.0 in n 3.150 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.150 * [taylor]: Taking taylor expansion of 0.5 in n 3.150 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.150 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.150 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.150 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.150 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.150 * [taylor]: Taking taylor expansion of 1.0 in n 3.150 * [taylor]: Taking taylor expansion of (log PI) in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.159 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.159 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.159 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.159 * [taylor]: Taking taylor expansion of 1.0 in n 3.159 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.159 * [taylor]: Taking taylor expansion of 2.0 in n 3.161 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.161 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.161 * [taylor]: Taking taylor expansion of 1.0 in n 3.161 * [taylor]: Taking taylor expansion of (log n) in n 3.161 * [taylor]: Taking taylor expansion of n in n 3.219 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.219 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.219 * [taylor]: Taking taylor expansion of +nan.0 in n 3.219 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.219 * [taylor]: Taking taylor expansion of 0.5 in n 3.219 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.219 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.219 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.219 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.219 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.219 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.219 * [taylor]: Taking taylor expansion of 1.0 in n 3.219 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.219 * [taylor]: Taking taylor expansion of 2.0 in n 3.221 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.221 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.221 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.221 * [taylor]: Taking taylor expansion of 1.0 in n 3.221 * [taylor]: Taking taylor expansion of (log PI) in n 3.221 * [taylor]: Taking taylor expansion of PI in n 3.223 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.223 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.223 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.223 * [taylor]: Taking taylor expansion of 1.0 in n 3.223 * [taylor]: Taking taylor expansion of (log n) in n 3.223 * [taylor]: Taking taylor expansion of n in n 3.239 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 3.239 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.239 * [taylor]: Taking taylor expansion of 1.0 in n 3.239 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.239 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 3.239 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.239 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.239 * [taylor]: Taking taylor expansion of -1 in n 3.239 * [taylor]: Taking taylor expansion of k in n 3.239 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.239 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.239 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.239 * [taylor]: Taking taylor expansion of 0.5 in n 3.239 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.239 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.239 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.239 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.239 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.239 * [taylor]: Taking taylor expansion of 1.0 in n 3.239 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.239 * [taylor]: Taking taylor expansion of -2.0 in n 3.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.247 * [taylor]: Taking taylor expansion of 1.0 in n 3.247 * [taylor]: Taking taylor expansion of (log PI) in n 3.247 * [taylor]: Taking taylor expansion of PI in n 3.249 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.249 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.249 * [taylor]: Taking taylor expansion of 1.0 in n 3.249 * [taylor]: Taking taylor expansion of (log n) in n 3.249 * [taylor]: Taking taylor expansion of n in n 3.256 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.256 * [taylor]: Taking taylor expansion of 1.0 in k 3.256 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.256 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.256 * [taylor]: Taking taylor expansion of -1 in k 3.256 * [taylor]: Taking taylor expansion of k in k 3.258 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.258 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.258 * [taylor]: Taking taylor expansion of 0.5 in k 3.258 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.258 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.258 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.258 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.258 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.258 * [taylor]: Taking taylor expansion of 1.0 in k 3.258 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.258 * [taylor]: Taking taylor expansion of -2.0 in k 3.260 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.260 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.260 * [taylor]: Taking taylor expansion of 1.0 in k 3.260 * [taylor]: Taking taylor expansion of (log PI) in k 3.260 * [taylor]: Taking taylor expansion of PI in k 3.262 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.262 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.262 * [taylor]: Taking taylor expansion of 1.0 in k 3.262 * [taylor]: Taking taylor expansion of (log n) in k 3.262 * [taylor]: Taking taylor expansion of n in k 3.268 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 3.268 * [taylor]: Taking taylor expansion of 1.0 in k 3.268 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 3.268 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 3.268 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.268 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.268 * [taylor]: Taking taylor expansion of -1 in k 3.268 * [taylor]: Taking taylor expansion of k in k 3.270 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.270 * [taylor]: Taking taylor expansion of 0.5 in k 3.270 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.270 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.270 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.270 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.270 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.270 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.270 * [taylor]: Taking taylor expansion of 1.0 in k 3.270 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.270 * [taylor]: Taking taylor expansion of -2.0 in k 3.272 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.272 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.272 * [taylor]: Taking taylor expansion of 1.0 in k 3.272 * [taylor]: Taking taylor expansion of (log PI) in k 3.272 * [taylor]: Taking taylor expansion of PI in k 3.274 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.274 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.274 * [taylor]: Taking taylor expansion of 1.0 in k 3.274 * [taylor]: Taking taylor expansion of (log n) in k 3.274 * [taylor]: Taking taylor expansion of n in k 3.283 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.283 * [taylor]: Taking taylor expansion of +nan.0 in n 3.283 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.283 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.283 * [taylor]: Taking taylor expansion of 0.5 in n 3.283 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.283 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.283 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.283 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.283 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.283 * [taylor]: Taking taylor expansion of 1.0 in n 3.283 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.283 * [taylor]: Taking taylor expansion of -2.0 in n 3.285 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.285 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.285 * [taylor]: Taking taylor expansion of 1.0 in n 3.285 * [taylor]: Taking taylor expansion of (log PI) in n 3.285 * [taylor]: Taking taylor expansion of PI in n 3.287 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.287 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.287 * [taylor]: Taking taylor expansion of 1.0 in n 3.287 * [taylor]: Taking taylor expansion of (log n) in n 3.287 * [taylor]: Taking taylor expansion of n in n 3.316 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.316 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.316 * [taylor]: Taking taylor expansion of +nan.0 in n 3.316 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.316 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.317 * [taylor]: Taking taylor expansion of 0.5 in n 3.317 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.317 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.317 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.317 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.317 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.317 * [taylor]: Taking taylor expansion of 1.0 in n 3.317 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.317 * [taylor]: Taking taylor expansion of -2.0 in n 3.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.318 * [taylor]: Taking taylor expansion of 1.0 in n 3.318 * [taylor]: Taking taylor expansion of (log PI) in n 3.318 * [taylor]: Taking taylor expansion of PI in n 3.320 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.320 * [taylor]: Taking taylor expansion of 1.0 in n 3.320 * [taylor]: Taking taylor expansion of (log n) in n 3.320 * [taylor]: Taking taylor expansion of n in n 3.380 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.380 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.380 * [taylor]: Taking taylor expansion of +nan.0 in n 3.380 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.380 * [taylor]: Taking taylor expansion of 0.5 in n 3.380 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.380 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.380 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.380 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.380 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.380 * [taylor]: Taking taylor expansion of 1.0 in n 3.380 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.380 * [taylor]: Taking taylor expansion of -2.0 in n 3.382 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.382 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.382 * [taylor]: Taking taylor expansion of 1.0 in n 3.382 * [taylor]: Taking taylor expansion of (log PI) in n 3.382 * [taylor]: Taking taylor expansion of PI in n 3.384 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.384 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.384 * [taylor]: Taking taylor expansion of 1.0 in n 3.384 * [taylor]: Taking taylor expansion of (log n) in n 3.384 * [taylor]: Taking taylor expansion of n in n 3.399 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.400 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.400 * [taylor]: Taking taylor expansion of 2.0 in n 3.400 * [taylor]: Taking taylor expansion of (* n PI) in n 3.400 * [taylor]: Taking taylor expansion of n in n 3.400 * [taylor]: Taking taylor expansion of PI in n 3.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.400 * [taylor]: Taking taylor expansion of 2.0 in n 3.400 * [taylor]: Taking taylor expansion of (* n PI) in n 3.400 * [taylor]: Taking taylor expansion of n in n 3.400 * [taylor]: Taking taylor expansion of PI in n 3.412 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.412 * [taylor]: Taking taylor expansion of 2.0 in n 3.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.412 * [taylor]: Taking taylor expansion of PI in n 3.412 * [taylor]: Taking taylor expansion of n in n 3.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.412 * [taylor]: Taking taylor expansion of 2.0 in n 3.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.412 * [taylor]: Taking taylor expansion of PI in n 3.412 * [taylor]: Taking taylor expansion of n in n 3.428 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.428 * [taylor]: Taking taylor expansion of -2.0 in n 3.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.428 * [taylor]: Taking taylor expansion of PI in n 3.428 * [taylor]: Taking taylor expansion of n in n 3.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.428 * [taylor]: Taking taylor expansion of -2.0 in n 3.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.428 * [taylor]: Taking taylor expansion of PI in n 3.428 * [taylor]: Taking taylor expansion of n in n 3.437 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 3.437 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.437 * [taylor]: Taking taylor expansion of 2.0 in n 3.437 * [taylor]: Taking taylor expansion of (* n PI) in n 3.437 * [taylor]: Taking taylor expansion of n in n 3.437 * [taylor]: Taking taylor expansion of 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 3.437 * [taylor]: Taking taylor expansion of (* n PI) in n 3.437 * [taylor]: Taking taylor expansion of n in n 3.437 * [taylor]: Taking taylor expansion of PI in n 3.449 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.449 * [taylor]: Taking taylor expansion of 2.0 in n 3.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.449 * [taylor]: Taking taylor expansion of PI in n 3.449 * [taylor]: Taking taylor expansion of n in n 3.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.450 * [taylor]: Taking taylor expansion of 2.0 in n 3.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.450 * [taylor]: Taking taylor expansion of PI in n 3.450 * [taylor]: Taking taylor expansion of n in n 3.458 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.459 * [taylor]: Taking taylor expansion of -2.0 in n 3.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.459 * [taylor]: Taking taylor expansion of PI in n 3.459 * [taylor]: Taking taylor expansion of n in n 3.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.459 * [taylor]: Taking taylor expansion of -2.0 in n 3.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.459 * [taylor]: Taking taylor expansion of PI in n 3.459 * [taylor]: Taking taylor expansion of n in n 3.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.467 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.468 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.468 * [taylor]: Taking taylor expansion of 1.0 in k 3.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.468 * [taylor]: Taking taylor expansion of k in k 3.469 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.469 * [taylor]: Taking taylor expansion of 1.0 in k 3.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.469 * [taylor]: Taking taylor expansion of k in k 3.480 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.480 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.480 * [taylor]: Taking taylor expansion of 1.0 in k 3.480 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.480 * [taylor]: Taking taylor expansion of k in k 3.481 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.481 * [taylor]: Taking taylor expansion of 1.0 in k 3.481 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.481 * [taylor]: Taking taylor expansion of k in k 3.491 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.492 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.492 * [taylor]: Taking taylor expansion of 1.0 in k 3.492 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.492 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.492 * [taylor]: Taking taylor expansion of -1 in k 3.492 * [taylor]: Taking taylor expansion of k in k 3.493 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.493 * [taylor]: Taking taylor expansion of 1.0 in k 3.493 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.493 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.493 * [taylor]: Taking taylor expansion of -1 in k 3.493 * [taylor]: Taking taylor expansion of k in k 3.511 * * * [progress]: simplifying candidates 3.513 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 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) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 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))))) 3.521 * * [simplify]: iteration 0 : 590 enodes (cost 1020 ) 3.531 * * [simplify]: iteration 1 : 2449 enodes (cost 915 ) 3.574 * * [simplify]: iteration 2 : 5001 enodes (cost 905 ) 3.579 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2))))) (- (* +nan.0 (* (/ 1 (pow k 3)) (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 n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 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 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 3.580 * * * [progress]: adding candidates to table 3.879 * * [progress]: iteration 4 / 4 3.879 * * * [progress]: picking best candidate 3.900 * * * * [pick]: Picked # 3.900 * * * [progress]: localizing error 3.915 * * * [progress]: generating rewritten candidates 3.915 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.924 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.930 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.943 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.961 * * * [progress]: generating series expansions 3.961 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.962 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.962 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.962 * [taylor]: Taking taylor expansion of 2.0 in n 3.962 * [taylor]: Taking taylor expansion of (* n PI) in n 3.962 * [taylor]: Taking taylor expansion of n in n 3.962 * [taylor]: Taking taylor expansion of PI in n 3.962 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.962 * [taylor]: Taking taylor expansion of 2.0 in n 3.962 * [taylor]: Taking taylor expansion of (* n PI) in n 3.962 * [taylor]: Taking taylor expansion of n in n 3.962 * [taylor]: Taking taylor expansion of PI in n 3.975 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.975 * [taylor]: Taking taylor expansion of 2.0 in n 3.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.975 * [taylor]: Taking taylor expansion of PI in n 3.975 * [taylor]: Taking taylor expansion of n in n 3.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.975 * [taylor]: Taking taylor expansion of 2.0 in n 3.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.975 * [taylor]: Taking taylor expansion of PI in n 3.975 * [taylor]: Taking taylor expansion of n in n 3.990 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 3.990 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.990 * [taylor]: Taking taylor expansion of 2.0 in n 3.990 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.990 * [taylor]: Taking taylor expansion of PI in n 3.990 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.990 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.990 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.990 * [taylor]: Taking taylor expansion of -1 in n 3.990 * [taylor]: Taking taylor expansion of n in n 3.992 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.992 * [taylor]: Taking taylor expansion of 2.0 in n 3.992 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.992 * [taylor]: Taking taylor expansion of PI in n 3.992 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.992 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.992 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.992 * [taylor]: Taking taylor expansion of -1 in n 3.992 * [taylor]: Taking taylor expansion of n in n 4.012 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 4.012 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 4.012 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.012 * [taylor]: Taking taylor expansion of 2.0 in n 4.012 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.012 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.012 * [taylor]: Taking taylor expansion of n in n 4.014 * [taylor]: Taking taylor expansion of PI in n 4.014 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.014 * [taylor]: Taking taylor expansion of 2.0 in n 4.014 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.014 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.014 * [taylor]: Taking taylor expansion of n in n 4.015 * [taylor]: Taking taylor expansion of PI in n 4.036 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 4.036 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.036 * [taylor]: Taking taylor expansion of 2.0 in n 4.036 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.036 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.036 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.036 * [taylor]: Taking taylor expansion of n in n 4.037 * [taylor]: Taking taylor expansion of PI in n 4.037 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.037 * [taylor]: Taking taylor expansion of 2.0 in n 4.037 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.037 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.037 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.037 * [taylor]: Taking taylor expansion of n in n 4.039 * [taylor]: Taking taylor expansion of PI in n 4.060 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 4.060 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.060 * [taylor]: Taking taylor expansion of 2.0 in n 4.060 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.060 * [taylor]: Taking taylor expansion of PI in n 4.060 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.060 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.060 * [taylor]: Taking taylor expansion of -1 in n 4.060 * [taylor]: Taking taylor expansion of n in n 4.061 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.061 * [taylor]: Taking taylor expansion of 2.0 in n 4.061 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.061 * [taylor]: Taking taylor expansion of PI in n 4.061 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.061 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.061 * [taylor]: Taking taylor expansion of -1 in n 4.061 * [taylor]: Taking taylor expansion of n in n 4.088 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.089 * [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 4.089 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.089 * [taylor]: Taking taylor expansion of k in n 4.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.089 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.089 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.089 * [taylor]: Taking taylor expansion of 0.5 in n 4.089 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [taylor]: Taking taylor expansion of k in n 4.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.089 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.089 * [taylor]: Taking taylor expansion of 2.0 in n 4.089 * [taylor]: Taking taylor expansion of (* n PI) in n 4.089 * [taylor]: Taking taylor expansion of n in n 4.089 * [taylor]: Taking taylor expansion of PI in n 4.095 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.095 * [taylor]: Taking taylor expansion of 1.0 in k 4.095 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.095 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.095 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.095 * [taylor]: Taking taylor expansion of k in k 4.096 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.096 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.096 * [taylor]: Taking taylor expansion of 0.5 in k 4.096 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.096 * [taylor]: Taking taylor expansion of 1.0 in k 4.096 * [taylor]: Taking taylor expansion of k in k 4.096 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.096 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.096 * [taylor]: Taking taylor expansion of 2.0 in k 4.096 * [taylor]: Taking taylor expansion of (* n PI) in k 4.096 * [taylor]: Taking taylor expansion of n in k 4.096 * [taylor]: Taking taylor expansion of PI in k 4.097 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.097 * [taylor]: Taking taylor expansion of 1.0 in k 4.097 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.097 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.097 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.097 * [taylor]: Taking taylor expansion of k in k 4.099 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.099 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.099 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.099 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.099 * [taylor]: Taking taylor expansion of 0.5 in k 4.099 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.099 * [taylor]: Taking taylor expansion of 1.0 in k 4.099 * [taylor]: Taking taylor expansion of k in k 4.099 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.099 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.099 * [taylor]: Taking taylor expansion of 2.0 in k 4.099 * [taylor]: Taking taylor expansion of (* n PI) in k 4.099 * [taylor]: Taking taylor expansion of n in k 4.099 * [taylor]: Taking taylor expansion of PI in k 4.101 * [taylor]: Taking taylor expansion of 0 in n 4.106 * [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 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of +nan.0 in n 4.106 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.106 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.106 * [taylor]: Taking taylor expansion of 0.5 in n 4.106 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.106 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.106 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.106 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [taylor]: Taking taylor expansion of (log PI) in n 4.106 * [taylor]: Taking taylor expansion of PI in n 4.108 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.108 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.108 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.108 * [taylor]: Taking taylor expansion of 1.0 in n 4.108 * [taylor]: Taking taylor expansion of (log n) in n 4.108 * [taylor]: Taking taylor expansion of n in n 4.109 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.109 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.109 * [taylor]: Taking taylor expansion of 1.0 in n 4.109 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.109 * [taylor]: Taking taylor expansion of 2.0 in n 4.128 * [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 4.128 * [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 4.128 * [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 4.128 * [taylor]: Taking taylor expansion of +nan.0 in n 4.128 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.128 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.128 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.128 * [taylor]: Taking taylor expansion of 0.5 in n 4.128 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.128 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.128 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.128 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.128 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.128 * [taylor]: Taking taylor expansion of 1.0 in n 4.128 * [taylor]: Taking taylor expansion of (log PI) in n 4.128 * [taylor]: Taking taylor expansion of PI in n 4.130 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.130 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.130 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.130 * [taylor]: Taking taylor expansion of 1.0 in n 4.130 * [taylor]: Taking taylor expansion of (log n) in n 4.130 * [taylor]: Taking taylor expansion of n in n 4.131 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.131 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.131 * [taylor]: Taking taylor expansion of 1.0 in n 4.131 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.131 * [taylor]: Taking taylor expansion of 2.0 in n 4.136 * [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 4.136 * [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 4.136 * [taylor]: Taking taylor expansion of +nan.0 in n 4.136 * [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 4.136 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.136 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.136 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.136 * [taylor]: Taking taylor expansion of 0.5 in n 4.136 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.136 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.136 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.136 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.136 * [taylor]: Taking taylor expansion of 1.0 in n 4.136 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.136 * [taylor]: Taking taylor expansion of 2.0 in n 4.138 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.138 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.138 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.138 * [taylor]: Taking taylor expansion of 1.0 in n 4.138 * [taylor]: Taking taylor expansion of (log PI) in n 4.138 * [taylor]: Taking taylor expansion of PI in n 4.140 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.140 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.140 * [taylor]: Taking taylor expansion of 1.0 in n 4.140 * [taylor]: Taking taylor expansion of (log n) in n 4.140 * [taylor]: Taking taylor expansion of n in n 4.144 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.144 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.144 * [taylor]: Taking taylor expansion of 2.0 in n 4.144 * [taylor]: Taking taylor expansion of (* n PI) in n 4.144 * [taylor]: Taking taylor expansion of n in n 4.144 * [taylor]: Taking taylor expansion of PI in n 4.200 * [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 4.200 * [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 4.200 * [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 4.200 * [taylor]: Taking taylor expansion of +nan.0 in n 4.200 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.201 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.201 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.201 * [taylor]: Taking taylor expansion of 0.5 in n 4.201 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.201 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.201 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.201 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.201 * [taylor]: Taking taylor expansion of 1.0 in n 4.201 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.201 * [taylor]: Taking taylor expansion of 2.0 in n 4.202 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.202 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.202 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.202 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.202 * [taylor]: Taking taylor expansion of 1.0 in n 4.203 * [taylor]: Taking taylor expansion of (log n) in n 4.203 * [taylor]: Taking taylor expansion of n in n 4.203 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.203 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.203 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.203 * [taylor]: Taking taylor expansion of 1.0 in n 4.203 * [taylor]: Taking taylor expansion of (log PI) in n 4.203 * [taylor]: Taking taylor expansion of PI in n 4.209 * [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 4.209 * [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 4.209 * [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 4.209 * [taylor]: Taking taylor expansion of +nan.0 in n 4.209 * [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 4.209 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.209 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.209 * [taylor]: Taking taylor expansion of 0.5 in n 4.209 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.209 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.209 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.209 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.209 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.209 * [taylor]: Taking taylor expansion of 2.0 in n 4.211 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.211 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.211 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.211 * [taylor]: Taking taylor expansion of 1.0 in n 4.211 * [taylor]: Taking taylor expansion of (log PI) in n 4.211 * [taylor]: Taking taylor expansion of PI in n 4.213 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.213 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.213 * [taylor]: Taking taylor expansion of 1.0 in n 4.213 * [taylor]: Taking taylor expansion of (log n) in n 4.213 * [taylor]: Taking taylor expansion of n in n 4.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.217 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.217 * [taylor]: Taking taylor expansion of 2.0 in n 4.217 * [taylor]: Taking taylor expansion of (* n PI) in n 4.217 * [taylor]: Taking taylor expansion of n in n 4.217 * [taylor]: Taking taylor expansion of PI in n 4.220 * [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 4.220 * [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 4.220 * [taylor]: Taking taylor expansion of +nan.0 in n 4.220 * [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 4.220 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.220 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.220 * [taylor]: Taking taylor expansion of 0.5 in n 4.220 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.220 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.220 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.220 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.220 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.220 * [taylor]: Taking taylor expansion of 1.0 in n 4.220 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.220 * [taylor]: Taking taylor expansion of 2.0 in n 4.222 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.222 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.222 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.222 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.222 * [taylor]: Taking taylor expansion of 1.0 in n 4.222 * [taylor]: Taking taylor expansion of (log PI) in n 4.222 * [taylor]: Taking taylor expansion of PI in n 4.224 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.224 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.224 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.224 * [taylor]: Taking taylor expansion of 1.0 in n 4.224 * [taylor]: Taking taylor expansion of (log n) in n 4.224 * [taylor]: Taking taylor expansion of n in n 4.228 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.228 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.228 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.228 * [taylor]: Taking taylor expansion of 2.0 in n 4.228 * [taylor]: Taking taylor expansion of (* n PI) in n 4.228 * [taylor]: Taking taylor expansion of n in n 4.228 * [taylor]: Taking taylor expansion of PI in n 4.309 * [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 4.309 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.309 * [taylor]: Taking taylor expansion of 1.0 in n 4.309 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.309 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.309 * [taylor]: Taking taylor expansion of k in n 4.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.309 * [taylor]: Taking taylor expansion of 0.5 in n 4.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.309 * [taylor]: Taking taylor expansion of 1.0 in n 4.309 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.309 * [taylor]: Taking taylor expansion of k in n 4.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.309 * [taylor]: Taking taylor expansion of 2.0 in n 4.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.309 * [taylor]: Taking taylor expansion of PI in n 4.309 * [taylor]: Taking taylor expansion of n in n 4.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.313 * [taylor]: Taking taylor expansion of 1.0 in k 4.313 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.313 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.314 * [taylor]: Taking taylor expansion of 0.5 in k 4.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.314 * [taylor]: Taking taylor expansion of 1.0 in k 4.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.314 * [taylor]: Taking taylor expansion of k in k 4.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.314 * [taylor]: Taking taylor expansion of 2.0 in k 4.314 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.314 * [taylor]: Taking taylor expansion of PI in k 4.314 * [taylor]: Taking taylor expansion of n in k 4.316 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.316 * [taylor]: Taking taylor expansion of 1.0 in k 4.316 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.316 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.316 * [taylor]: Taking taylor expansion of k in k 4.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.317 * [taylor]: Taking taylor expansion of 0.5 in k 4.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.317 * [taylor]: Taking taylor expansion of 1.0 in k 4.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.317 * [taylor]: Taking taylor expansion of k in k 4.317 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.317 * [taylor]: Taking taylor expansion of 2.0 in k 4.317 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.317 * [taylor]: Taking taylor expansion of PI in k 4.317 * [taylor]: Taking taylor expansion of n in k 4.319 * [taylor]: Taking taylor expansion of 0 in n 4.319 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.319 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.319 * [taylor]: Taking taylor expansion of +nan.0 in n 4.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.320 * [taylor]: Taking taylor expansion of 0.5 in n 4.320 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.320 * [taylor]: Taking taylor expansion of 2.0 in n 4.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.320 * [taylor]: Taking taylor expansion of PI in n 4.320 * [taylor]: Taking taylor expansion of n in n 4.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.321 * [taylor]: Taking taylor expansion of 1.0 in n 4.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.321 * [taylor]: Taking taylor expansion of k in n 4.329 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.329 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.329 * [taylor]: Taking taylor expansion of +nan.0 in n 4.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.329 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.329 * [taylor]: Taking taylor expansion of 0.5 in n 4.329 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.329 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.329 * [taylor]: Taking taylor expansion of 2.0 in n 4.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.329 * [taylor]: Taking taylor expansion of PI in n 4.329 * [taylor]: Taking taylor expansion of n in n 4.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.331 * [taylor]: Taking taylor expansion of 1.0 in n 4.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.331 * [taylor]: Taking taylor expansion of k in n 4.353 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.353 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.353 * [taylor]: Taking taylor expansion of +nan.0 in n 4.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.353 * [taylor]: Taking taylor expansion of 0.5 in n 4.353 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.353 * [taylor]: Taking taylor expansion of 2.0 in n 4.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.353 * [taylor]: Taking taylor expansion of PI in n 4.353 * [taylor]: Taking taylor expansion of n in n 4.354 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.354 * [taylor]: Taking taylor expansion of 1.0 in n 4.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.354 * [taylor]: Taking taylor expansion of k in n 4.363 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.363 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.363 * [taylor]: Taking taylor expansion of 1.0 in n 4.363 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.363 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.363 * [taylor]: Taking taylor expansion of 0.5 in n 4.363 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.363 * [taylor]: Taking taylor expansion of k in n 4.363 * [taylor]: Taking taylor expansion of 1.0 in n 4.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.363 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.364 * [taylor]: Taking taylor expansion of 2.0 in n 4.364 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.364 * [taylor]: Taking taylor expansion of PI in n 4.364 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.364 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.364 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.364 * [taylor]: Taking taylor expansion of -1 in n 4.364 * [taylor]: Taking taylor expansion of n in n 4.368 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.368 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.368 * [taylor]: Taking taylor expansion of -1 in n 4.368 * [taylor]: Taking taylor expansion of k in n 4.369 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.369 * [taylor]: Taking taylor expansion of 1.0 in k 4.369 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.369 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.369 * [taylor]: Taking taylor expansion of 0.5 in k 4.369 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.369 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.369 * [taylor]: Taking taylor expansion of k in k 4.370 * [taylor]: Taking taylor expansion of 1.0 in k 4.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.370 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.370 * [taylor]: Taking taylor expansion of 2.0 in k 4.370 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.370 * [taylor]: Taking taylor expansion of PI in k 4.370 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.370 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.370 * [taylor]: Taking taylor expansion of -1 in k 4.370 * [taylor]: Taking taylor expansion of n in k 4.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.371 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.371 * [taylor]: Taking taylor expansion of -1 in k 4.371 * [taylor]: Taking taylor expansion of k in k 4.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.373 * [taylor]: Taking taylor expansion of 1.0 in k 4.373 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.373 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.373 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.373 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.373 * [taylor]: Taking taylor expansion of 0.5 in k 4.373 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.373 * [taylor]: Taking taylor expansion of k in k 4.373 * [taylor]: Taking taylor expansion of 1.0 in k 4.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.373 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.373 * [taylor]: Taking taylor expansion of 2.0 in k 4.373 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.373 * [taylor]: Taking taylor expansion of PI in k 4.373 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.373 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.373 * [taylor]: Taking taylor expansion of -1 in k 4.373 * [taylor]: Taking taylor expansion of n in k 4.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.375 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.375 * [taylor]: Taking taylor expansion of -1 in k 4.375 * [taylor]: Taking taylor expansion of k in k 4.377 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))))) in n 4.377 * [taylor]: Taking taylor expansion of +nan.0 in n 4.377 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 4.377 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 4.377 * [taylor]: Taking taylor expansion of 0.5 in n 4.377 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 4.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.377 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.377 * [taylor]: Taking taylor expansion of 2.0 in n 4.377 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.377 * [taylor]: Taking taylor expansion of PI in n 4.377 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.377 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.377 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.377 * [taylor]: Taking taylor expansion of -1 in n 4.377 * [taylor]: Taking taylor expansion of n in n 4.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.380 * [taylor]: Taking taylor expansion of k in n 4.380 * [taylor]: Taking taylor expansion of 1.0 in n 4.387 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))))) in n 4.387 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))))) in n 4.387 * [taylor]: Taking taylor expansion of +nan.0 in n 4.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 4.387 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 4.387 * [taylor]: Taking taylor expansion of 0.5 in n 4.387 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 4.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.387 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.387 * [taylor]: Taking taylor expansion of 2.0 in n 4.387 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.387 * [taylor]: Taking taylor expansion of PI in n 4.387 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.388 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.388 * [taylor]: Taking taylor expansion of -1 in n 4.388 * [taylor]: Taking taylor expansion of n in n 4.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.391 * [taylor]: Taking taylor expansion of k in n 4.391 * [taylor]: Taking taylor expansion of 1.0 in n 4.417 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.418 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.418 * [taylor]: Taking taylor expansion of 0.5 in k 4.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.418 * [taylor]: Taking taylor expansion of 1.0 in k 4.418 * [taylor]: Taking taylor expansion of k in k 4.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.418 * [taylor]: Taking taylor expansion of 2.0 in k 4.418 * [taylor]: Taking taylor expansion of (* n PI) in k 4.418 * [taylor]: Taking taylor expansion of n in k 4.418 * [taylor]: Taking taylor expansion of PI in k 4.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.419 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.419 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.419 * [taylor]: Taking taylor expansion of 0.5 in n 4.419 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.419 * [taylor]: Taking taylor expansion of 1.0 in n 4.419 * [taylor]: Taking taylor expansion of k in n 4.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.419 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.419 * [taylor]: Taking taylor expansion of 2.0 in n 4.419 * [taylor]: Taking taylor expansion of (* n PI) in n 4.419 * [taylor]: Taking taylor expansion of n in n 4.419 * [taylor]: Taking taylor expansion of PI in n 4.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.431 * [taylor]: Taking taylor expansion of 0.5 in n 4.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.431 * [taylor]: Taking taylor expansion of 1.0 in n 4.431 * [taylor]: Taking taylor expansion of k in n 4.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.431 * [taylor]: Taking taylor expansion of 2.0 in n 4.431 * [taylor]: Taking taylor expansion of (* n PI) in n 4.431 * [taylor]: Taking taylor expansion of n in n 4.431 * [taylor]: Taking taylor expansion of PI in n 4.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.437 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.437 * [taylor]: Taking taylor expansion of 0.5 in k 4.437 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.437 * [taylor]: Taking taylor expansion of 1.0 in k 4.437 * [taylor]: Taking taylor expansion of k in k 4.437 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.437 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.437 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.437 * [taylor]: Taking taylor expansion of 2.0 in k 4.437 * [taylor]: Taking taylor expansion of PI in k 4.438 * [taylor]: Taking taylor expansion of (log n) in k 4.438 * [taylor]: Taking taylor expansion of n in k 4.447 * [taylor]: Taking taylor expansion of 0 in k 4.463 * [taylor]: Taking taylor expansion of 0 in k 4.482 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.482 * [taylor]: Taking taylor expansion of 0.5 in k 4.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.482 * [taylor]: Taking taylor expansion of 1.0 in k 4.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.482 * [taylor]: Taking taylor expansion of k in k 4.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.482 * [taylor]: Taking taylor expansion of 2.0 in k 4.482 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.482 * [taylor]: Taking taylor expansion of PI in k 4.482 * [taylor]: Taking taylor expansion of n in k 4.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.483 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.483 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.483 * [taylor]: Taking taylor expansion of 0.5 in n 4.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.483 * [taylor]: Taking taylor expansion of 1.0 in n 4.483 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.483 * [taylor]: Taking taylor expansion of k in n 4.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.483 * [taylor]: Taking taylor expansion of 2.0 in n 4.483 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.483 * [taylor]: Taking taylor expansion of PI in n 4.484 * [taylor]: Taking taylor expansion of n in n 4.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.487 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.487 * [taylor]: Taking taylor expansion of 0.5 in n 4.487 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.487 * [taylor]: Taking taylor expansion of 1.0 in n 4.487 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.487 * [taylor]: Taking taylor expansion of k in n 4.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.487 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.487 * [taylor]: Taking taylor expansion of 2.0 in n 4.487 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.487 * [taylor]: Taking taylor expansion of PI in n 4.487 * [taylor]: Taking taylor expansion of n in n 4.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.491 * [taylor]: Taking taylor expansion of 0.5 in k 4.491 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.491 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.491 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.491 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.491 * [taylor]: Taking taylor expansion of 2.0 in k 4.491 * [taylor]: Taking taylor expansion of PI in k 4.492 * [taylor]: Taking taylor expansion of (log n) in k 4.492 * [taylor]: Taking taylor expansion of n in k 4.492 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.492 * [taylor]: Taking taylor expansion of 1.0 in k 4.492 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.492 * [taylor]: Taking taylor expansion of k in k 4.502 * [taylor]: Taking taylor expansion of 0 in k 4.509 * [taylor]: Taking taylor expansion of 0 in k 4.525 * [taylor]: Taking taylor expansion of 0 in k 4.526 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.526 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.526 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.526 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.526 * [taylor]: Taking taylor expansion of 0.5 in k 4.526 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.526 * [taylor]: Taking taylor expansion of k in k 4.526 * [taylor]: Taking taylor expansion of 1.0 in k 4.526 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.526 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.526 * [taylor]: Taking taylor expansion of 2.0 in k 4.526 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.526 * [taylor]: Taking taylor expansion of PI in k 4.526 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.526 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.527 * [taylor]: Taking taylor expansion of -1 in k 4.527 * [taylor]: Taking taylor expansion of n in k 4.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.528 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.528 * [taylor]: Taking taylor expansion of 0.5 in n 4.528 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.528 * [taylor]: Taking taylor expansion of k in n 4.528 * [taylor]: Taking taylor expansion of 1.0 in n 4.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.528 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.528 * [taylor]: Taking taylor expansion of 2.0 in n 4.528 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.528 * [taylor]: Taking taylor expansion of PI in n 4.528 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.528 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.528 * [taylor]: Taking taylor expansion of -1 in n 4.528 * [taylor]: Taking taylor expansion of n in n 4.533 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.533 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.533 * [taylor]: Taking taylor expansion of 0.5 in n 4.533 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.533 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.533 * [taylor]: Taking taylor expansion of k in n 4.533 * [taylor]: Taking taylor expansion of 1.0 in n 4.533 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.533 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.533 * [taylor]: Taking taylor expansion of 2.0 in n 4.533 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.533 * [taylor]: Taking taylor expansion of PI in n 4.533 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.533 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.533 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.533 * [taylor]: Taking taylor expansion of -1 in n 4.533 * [taylor]: Taking taylor expansion of n in n 4.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 4.538 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 4.538 * [taylor]: Taking taylor expansion of 0.5 in k 4.538 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 4.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.538 * [taylor]: Taking taylor expansion of k in k 4.538 * [taylor]: Taking taylor expansion of 1.0 in k 4.538 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 4.538 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 4.538 * [taylor]: Taking taylor expansion of +nan.0 in k 4.538 * [taylor]: Taking taylor expansion of PI in k 4.558 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 4.558 * [taylor]: Taking taylor expansion of -1 in k 4.558 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 4.558 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 4.558 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 4.558 * [taylor]: Taking taylor expansion of +nan.0 in k 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.558 * [taylor]: Taking taylor expansion of k in k 4.558 * [taylor]: Taking taylor expansion of (- +nan.0) in k 4.558 * [taylor]: Taking taylor expansion of +nan.0 in k 4.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 4.558 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 4.558 * [taylor]: Taking taylor expansion of 0.5 in k 4.558 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 4.558 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.558 * [taylor]: Taking taylor expansion of k in k 4.558 * [taylor]: Taking taylor expansion of 1.0 in k 4.558 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 4.558 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 4.559 * [taylor]: Taking taylor expansion of +nan.0 in k 4.559 * [taylor]: Taking taylor expansion of PI in k 4.593 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) in k 4.593 * [taylor]: Taking taylor expansion of -1 in k 4.593 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) in k 4.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 4.593 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 4.593 * [taylor]: Taking taylor expansion of 0.5 in k 4.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 4.593 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.593 * [taylor]: Taking taylor expansion of k in k 4.593 * [taylor]: Taking taylor expansion of 1.0 in k 4.593 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 4.593 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 4.593 * [taylor]: Taking taylor expansion of +nan.0 in k 4.593 * [taylor]: Taking taylor expansion of PI in k 4.604 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))) in k 4.604 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 4.604 * [taylor]: Taking taylor expansion of +nan.0 in k 4.604 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.604 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.604 * [taylor]: Taking taylor expansion of k in k 4.604 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))) in k 4.604 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 4.604 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 4.604 * [taylor]: Taking taylor expansion of +nan.0 in k 4.604 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.604 * [taylor]: Taking taylor expansion of k in k 4.605 * [taylor]: Taking taylor expansion of (- +nan.0) in k 4.605 * [taylor]: Taking taylor expansion of +nan.0 in k 4.621 * * * [progress]: simplifying candidates 4.623 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n)) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) (- (* +nan.0 (/ (* k (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) n))))))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) 4.634 * * [simplify]: iteration 0 : 1032 enodes (cost 1788 ) 4.651 * * [simplify]: iteration 1 : 4370 enodes (cost 1548 ) 4.720 * * [simplify]: iteration 2 : 5002 enodes (cost 1521 ) 4.727 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (- (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log (/ (sqrt k) 1.0))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) 3) (pow (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 1.0) (* (sqrt k) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (cbrt (sqrt k)) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (cbrt k)) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) 1.0)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) 1.0)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (* (/ (- 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) (log (* (* 2.0 PI) 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) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt 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) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* n PI) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) k))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) (* +nan.0 (/ (* k (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) n))))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (+ (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) 4.728 * * * [progress]: adding candidates to table 5.044 * [progress]: [Phase 3 of 3] Extracting. 5.045 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.046 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.046 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.078 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # #) 5.111 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 5.143 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 5.174 * * * [regime]: Found split indices: #