13.135 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.136 * * * [progress]: [2/2] Setting up program. 0.138 * [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 : 1044 enodes (cost 8 ) 0.175 * * [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))) 0.176 * * [progress]: iteration 1 / 4 0.176 * * * [progress]: picking best candidate 0.178 * * * * [pick]: Picked # 0.178 * * * [progress]: localizing error 0.191 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.195 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.200 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.211 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.231 * * * [progress]: generating series expansions 0.231 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.231 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.232 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.232 * [taylor]: Taking taylor expansion of 1.0 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 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.233 * [taylor]: Taking taylor expansion of 1.0 in k 0.233 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.233 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.233 * [taylor]: Taking taylor expansion of k in k 0.245 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.245 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.245 * [taylor]: Taking taylor expansion of 1.0 in k 0.245 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.245 * [taylor]: Taking taylor expansion of k in k 0.246 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.246 * [taylor]: Taking taylor expansion of 1.0 in k 0.246 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.246 * [taylor]: Taking taylor expansion of k in k 0.256 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.256 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.257 * [taylor]: Taking taylor expansion of -1 in k 0.257 * [taylor]: Taking taylor expansion of k in k 0.258 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.258 * [taylor]: Taking taylor expansion of 1.0 in k 0.258 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.258 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.258 * [taylor]: Taking taylor expansion of -1 in k 0.258 * [taylor]: Taking taylor expansion of k in k 0.270 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.270 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.270 * [taylor]: Taking taylor expansion of 2.0 in n 0.270 * [taylor]: Taking taylor expansion of (* n PI) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of PI in n 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.270 * [taylor]: Taking taylor expansion of 2.0 in n 0.270 * [taylor]: Taking taylor expansion of (* n PI) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of PI in n 0.283 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.283 * [taylor]: Taking taylor expansion of 2.0 in n 0.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.283 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.283 * [taylor]: Taking taylor expansion of 2.0 in n 0.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.283 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.292 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.292 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.292 * [taylor]: Taking taylor expansion of -2.0 in n 0.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.293 * [taylor]: Taking taylor expansion of -2.0 in n 0.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.301 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.302 * [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 0.302 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.302 * [taylor]: Taking taylor expansion of 0.5 in n 0.302 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.302 * [taylor]: Taking taylor expansion of 2.0 in n 0.302 * [taylor]: Taking taylor expansion of (* n PI) in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.308 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.308 * [taylor]: Taking taylor expansion of 1.0 in k 0.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.308 * [taylor]: Taking taylor expansion of k in k 0.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.316 * [taylor]: Taking taylor expansion of 0.5 in k 0.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.316 * [taylor]: Taking taylor expansion of 1.0 in k 0.316 * [taylor]: Taking taylor expansion of k in k 0.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.316 * [taylor]: Taking taylor expansion of 2.0 in k 0.316 * [taylor]: Taking taylor expansion of (* n PI) in k 0.316 * [taylor]: Taking taylor expansion of n in k 0.316 * [taylor]: Taking taylor expansion of PI in k 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.319 * [taylor]: Taking taylor expansion of 0.5 in k 0.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.319 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.319 * [taylor]: Taking taylor expansion of 2.0 in k 0.319 * [taylor]: Taking taylor expansion of (* n PI) in k 0.319 * [taylor]: Taking taylor expansion of n in k 0.319 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of 0 in n 0.326 * [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 0.326 * [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 0.326 * [taylor]: Taking taylor expansion of +nan.0 in n 0.326 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.327 * [taylor]: Taking taylor expansion of 0.5 in n 0.327 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.327 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.327 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.327 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.327 * [taylor]: Taking taylor expansion of 1.0 in n 0.327 * [taylor]: Taking taylor expansion of (log PI) in n 0.327 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.329 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log n) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.329 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.329 * [taylor]: Taking taylor expansion of 2.0 in n 0.349 * [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 0.349 * [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 0.349 * [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 0.349 * [taylor]: Taking taylor expansion of +nan.0 in n 0.349 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.349 * [taylor]: Taking taylor expansion of 0.5 in n 0.349 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.349 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.349 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of (log PI) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.351 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.351 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of (log n) in n 0.351 * [taylor]: Taking taylor expansion of n 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 0.357 * [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 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of +nan.0 in n 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.357 * [taylor]: Taking taylor expansion of 0.5 in n 0.357 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.357 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.357 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.357 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.357 * [taylor]: Taking taylor expansion of 2.0 in n 0.359 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.359 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.359 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.359 * [taylor]: Taking taylor expansion of 1.0 in n 0.359 * [taylor]: Taking taylor expansion of (log PI) in n 0.359 * [taylor]: Taking taylor expansion of PI in n 0.361 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.361 * [taylor]: Taking taylor expansion of 1.0 in n 0.361 * [taylor]: Taking taylor expansion of (log n) in n 0.361 * [taylor]: Taking taylor expansion of n in n 0.365 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.365 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.365 * [taylor]: Taking taylor expansion of 2.0 in n 0.365 * [taylor]: Taking taylor expansion of (* n PI) in n 0.365 * [taylor]: Taking taylor expansion of n in n 0.365 * [taylor]: Taking taylor expansion of PI in n 0.423 * [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 0.423 * [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 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of +nan.0 in n 0.423 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.423 * [taylor]: Taking taylor expansion of 0.5 in n 0.423 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.423 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.423 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.423 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.423 * [taylor]: Taking taylor expansion of 1.0 in n 0.423 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.423 * [taylor]: Taking taylor expansion of 2.0 in n 0.425 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log n) in n 0.425 * [taylor]: Taking taylor expansion of n in n 0.426 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.426 * [taylor]: Taking taylor expansion of 1.0 in n 0.426 * [taylor]: Taking taylor expansion of (log PI) in n 0.426 * [taylor]: Taking taylor expansion of PI in n 0.431 * [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 0.431 * [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 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of +nan.0 in n 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.432 * [taylor]: Taking taylor expansion of 0.5 in n 0.432 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.432 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.432 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.432 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.432 * [taylor]: Taking taylor expansion of 2.0 in n 0.433 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.433 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.434 * [taylor]: Taking taylor expansion of (log PI) in n 0.434 * [taylor]: Taking taylor expansion of PI in n 0.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of (log n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.440 * [taylor]: Taking taylor expansion of 2.0 in n 0.440 * [taylor]: Taking taylor expansion of (* n PI) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.443 * [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 0.443 * [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 0.443 * [taylor]: Taking taylor expansion of +nan.0 in n 0.443 * [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 0.443 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.443 * [taylor]: Taking taylor expansion of 0.5 in n 0.443 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.443 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.443 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.443 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.443 * [taylor]: Taking taylor expansion of 2.0 in n 0.445 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.445 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log PI) in n 0.445 * [taylor]: Taking taylor expansion of PI in n 0.447 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.447 * [taylor]: Taking taylor expansion of 1.0 in n 0.447 * [taylor]: Taking taylor expansion of (log n) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.451 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.451 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.451 * [taylor]: Taking taylor expansion of 2.0 in n 0.451 * [taylor]: Taking taylor expansion of (* n PI) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.451 * [taylor]: Taking taylor expansion of PI in n 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.532 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.532 * [taylor]: Taking taylor expansion of k in n 0.532 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.532 * [taylor]: Taking taylor expansion of 0.5 in n 0.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.532 * [taylor]: Taking taylor expansion of k in n 0.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.536 * [taylor]: Taking taylor expansion of 1.0 in k 0.536 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.536 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.536 * [taylor]: Taking taylor expansion of k in k 0.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.537 * [taylor]: Taking taylor expansion of 0.5 in k 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.537 * [taylor]: Taking taylor expansion of 1.0 in k 0.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.537 * [taylor]: Taking taylor expansion of k in k 0.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.538 * [taylor]: Taking taylor expansion of 2.0 in k 0.538 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.538 * [taylor]: Taking taylor expansion of PI in k 0.538 * [taylor]: Taking taylor expansion of n in k 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.539 * [taylor]: Taking taylor expansion of 1.0 in k 0.539 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.539 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.539 * [taylor]: Taking taylor expansion of k in k 0.540 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.540 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.540 * [taylor]: Taking taylor expansion of 0.5 in k 0.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.540 * [taylor]: Taking taylor expansion of 1.0 in k 0.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.540 * [taylor]: Taking taylor expansion of k in k 0.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.540 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.540 * [taylor]: Taking taylor expansion of 2.0 in k 0.540 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.540 * [taylor]: Taking taylor expansion of PI in k 0.540 * [taylor]: Taking taylor expansion of n in k 0.542 * [taylor]: Taking taylor expansion of 0 in n 0.543 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.543 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.543 * [taylor]: Taking taylor expansion of +nan.0 in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.543 * [taylor]: Taking taylor expansion of 0.5 in n 0.543 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.543 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.543 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.543 * [taylor]: Taking taylor expansion of PI in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.544 * [taylor]: Taking taylor expansion of 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 0.553 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.553 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.553 * [taylor]: Taking taylor expansion of +nan.0 in n 0.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.553 * [taylor]: Taking taylor expansion of 0.5 in n 0.553 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.553 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.553 * [taylor]: Taking taylor expansion of 2.0 in n 0.553 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.553 * [taylor]: Taking taylor expansion of PI in n 0.553 * [taylor]: Taking taylor expansion of n in n 0.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.554 * [taylor]: Taking taylor expansion of k in n 0.571 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.571 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.571 * [taylor]: Taking taylor expansion of +nan.0 in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.571 * [taylor]: Taking taylor expansion of 0.5 in n 0.571 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.571 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.571 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.571 * [taylor]: Taking taylor expansion of PI in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.573 * [taylor]: Taking taylor expansion of k in n 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.582 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.582 * [taylor]: Taking taylor expansion of 0.5 in n 0.582 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.582 * [taylor]: Taking taylor expansion of k in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.582 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.582 * [taylor]: Taking taylor expansion of -2.0 in n 0.582 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.582 * [taylor]: Taking taylor expansion of PI in n 0.582 * [taylor]: Taking taylor expansion of n in n 0.592 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.592 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.592 * [taylor]: Taking taylor expansion of -1 in n 0.592 * [taylor]: Taking taylor expansion of k in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.593 * [taylor]: Taking taylor expansion of 1.0 in k 0.593 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.593 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.593 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.593 * [taylor]: Taking taylor expansion of 0.5 in k 0.593 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.593 * [taylor]: Taking taylor expansion of k in k 0.593 * [taylor]: Taking taylor expansion of 1.0 in k 0.593 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.593 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.593 * [taylor]: Taking taylor expansion of -2.0 in k 0.593 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.593 * [taylor]: Taking taylor expansion of PI in k 0.593 * [taylor]: Taking taylor expansion of n in k 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.594 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.594 * [taylor]: Taking taylor expansion of -1 in k 0.594 * [taylor]: Taking taylor expansion of k in k 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.596 * [taylor]: Taking taylor expansion of 1.0 in k 0.596 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.596 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.596 * [taylor]: Taking taylor expansion of 0.5 in k 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.596 * [taylor]: Taking taylor expansion of k in k 0.596 * [taylor]: Taking taylor expansion of 1.0 in k 0.596 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.596 * [taylor]: Taking taylor expansion of -2.0 in k 0.596 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.596 * [taylor]: Taking taylor expansion of PI in k 0.596 * [taylor]: Taking taylor expansion of n in k 0.597 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.597 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.597 * [taylor]: Taking taylor expansion of -1 in k 0.597 * [taylor]: Taking taylor expansion of k in k 0.599 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.599 * [taylor]: Taking taylor expansion of +nan.0 in n 0.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.599 * [taylor]: Taking taylor expansion of 0.5 in n 0.599 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.599 * [taylor]: Taking taylor expansion of k in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.599 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.599 * [taylor]: Taking taylor expansion of -2.0 in n 0.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.599 * [taylor]: Taking taylor expansion of n in n 0.608 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.608 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.608 * [taylor]: Taking taylor expansion of +nan.0 in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.609 * [taylor]: Taking taylor expansion of 0.5 in n 0.609 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.609 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.609 * [taylor]: Taking taylor expansion of -2.0 in n 0.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.627 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.627 * [taylor]: Taking taylor expansion of +nan.0 in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.627 * [taylor]: Taking taylor expansion of 0.5 in n 0.627 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.627 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.627 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.627 * [taylor]: Taking taylor expansion of k in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.627 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.627 * [taylor]: Taking taylor expansion of -2.0 in n 0.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.636 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.637 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.637 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.637 * [taylor]: Taking taylor expansion of 0.5 in k 0.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.637 * [taylor]: Taking taylor expansion of 1.0 in k 0.637 * [taylor]: Taking taylor expansion of k in k 0.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.637 * [taylor]: Taking taylor expansion of 2.0 in k 0.637 * [taylor]: Taking taylor expansion of (* n PI) in k 0.637 * [taylor]: Taking taylor expansion of n in k 0.637 * [taylor]: Taking taylor expansion of PI in k 0.638 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.638 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.638 * [taylor]: Taking taylor expansion of 0.5 in n 0.638 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.638 * [taylor]: Taking taylor expansion of 1.0 in n 0.638 * [taylor]: Taking taylor expansion of k in n 0.638 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.638 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.638 * [taylor]: Taking taylor expansion of 2.0 in n 0.638 * [taylor]: Taking taylor expansion of (* n PI) in n 0.638 * [taylor]: Taking taylor expansion of n in n 0.638 * [taylor]: Taking taylor expansion of PI in n 0.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.644 * [taylor]: Taking taylor expansion of 0.5 in n 0.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.644 * [taylor]: Taking taylor expansion of 1.0 in n 0.644 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.644 * [taylor]: Taking taylor expansion of 2.0 in n 0.644 * [taylor]: Taking taylor expansion of (* n PI) in n 0.644 * [taylor]: Taking taylor expansion of n in n 0.644 * [taylor]: Taking taylor expansion of PI in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.649 * [taylor]: Taking taylor expansion of 0.5 in k 0.649 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.649 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.649 * [taylor]: Taking taylor expansion of 1.0 in k 0.649 * [taylor]: Taking taylor expansion of k in k 0.649 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.649 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.650 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.650 * [taylor]: Taking taylor expansion of 2.0 in k 0.650 * [taylor]: Taking taylor expansion of PI in k 0.650 * [taylor]: Taking taylor expansion of (log n) in k 0.650 * [taylor]: Taking taylor expansion of n in k 0.660 * [taylor]: Taking taylor expansion of 0 in k 0.681 * [taylor]: Taking taylor expansion of 0 in k 0.701 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.701 * [taylor]: Taking taylor expansion of 0.5 in k 0.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.701 * [taylor]: Taking taylor expansion of 1.0 in k 0.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.701 * [taylor]: Taking taylor expansion of k in k 0.701 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.701 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.701 * [taylor]: Taking taylor expansion of 2.0 in k 0.701 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.701 * [taylor]: Taking taylor expansion of PI in k 0.701 * [taylor]: Taking taylor expansion of n in k 0.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.703 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.703 * [taylor]: Taking taylor expansion of 0.5 in n 0.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.703 * [taylor]: Taking taylor expansion of 1.0 in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.703 * [taylor]: Taking taylor expansion of 2.0 in n 0.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.703 * [taylor]: Taking taylor expansion of PI in n 0.703 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.707 * [taylor]: Taking taylor expansion of 0.5 in n 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.707 * [taylor]: Taking taylor expansion of 2.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.707 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.711 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.711 * [taylor]: Taking taylor expansion of 0.5 in k 0.711 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.711 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.711 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.711 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.711 * [taylor]: Taking taylor expansion of 2.0 in k 0.711 * [taylor]: Taking taylor expansion of PI in k 0.712 * [taylor]: Taking taylor expansion of (log n) in k 0.712 * [taylor]: Taking taylor expansion of n in k 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.712 * [taylor]: Taking taylor expansion of 1.0 in k 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.712 * [taylor]: Taking taylor expansion of k in k 0.721 * [taylor]: Taking taylor expansion of 0 in k 0.728 * [taylor]: Taking taylor expansion of 0 in k 0.737 * [taylor]: Taking taylor expansion of 0 in k 0.739 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.739 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.739 * [taylor]: Taking taylor expansion of 0.5 in k 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.739 * [taylor]: Taking taylor expansion of 1.0 in k 0.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.739 * [taylor]: Taking taylor expansion of -2.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.740 * [taylor]: Taking taylor expansion of PI in k 0.740 * [taylor]: Taking taylor expansion of n in k 0.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.740 * [taylor]: Taking taylor expansion of 0.5 in n 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.741 * [taylor]: Taking taylor expansion of k in n 0.741 * [taylor]: Taking taylor expansion of 1.0 in n 0.741 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.741 * [taylor]: Taking taylor expansion of -2.0 in n 0.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.741 * [taylor]: Taking taylor expansion of PI in n 0.741 * [taylor]: Taking taylor expansion of n in n 0.744 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.744 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.744 * [taylor]: Taking taylor expansion of 0.5 in n 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.745 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.745 * [taylor]: Taking taylor expansion of k in n 0.745 * [taylor]: Taking taylor expansion of 1.0 in n 0.745 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.745 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.745 * [taylor]: Taking taylor expansion of -2.0 in n 0.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.745 * [taylor]: Taking taylor expansion of PI in n 0.745 * [taylor]: Taking taylor expansion of n in n 0.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.748 * [taylor]: Taking taylor expansion of 0.5 in k 0.748 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.749 * [taylor]: Taking taylor expansion of k in k 0.749 * [taylor]: Taking taylor expansion of 1.0 in k 0.749 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.749 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.749 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.749 * [taylor]: Taking taylor expansion of -2.0 in k 0.749 * [taylor]: Taking taylor expansion of PI in k 0.750 * [taylor]: Taking taylor expansion of (log n) in k 0.750 * [taylor]: Taking taylor expansion of n in k 0.759 * [taylor]: Taking taylor expansion of 0 in k 0.773 * [taylor]: Taking taylor expansion of 0 in k 0.782 * [taylor]: Taking taylor expansion of 0 in k 0.783 * * * [progress]: simplifying candidates 0.785 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (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))) (* (/ 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2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 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)) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +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) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +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))))))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.888 * * * [progress]: adding candidates to table 1.346 * * [progress]: iteration 2 / 4 1.346 * * * [progress]: picking best candidate 1.368 * * * * [pick]: Picked # 1.369 * * * [progress]: localizing error 1.384 * * * [progress]: generating rewritten candidates 1.384 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.390 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.400 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.425 * * * [progress]: generating series expansions 1.426 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.426 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 1.426 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.426 * [taylor]: Taking taylor expansion of 2.0 in n 1.426 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.426 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.426 * [taylor]: Taking taylor expansion of n in n 1.427 * [taylor]: Taking taylor expansion of PI in n 1.428 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.428 * [taylor]: Taking taylor expansion of 2.0 in n 1.428 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.428 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.428 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of PI in n 1.449 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 1.449 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.449 * [taylor]: Taking taylor expansion of 2.0 in n 1.449 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.449 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.449 * [taylor]: Taking taylor expansion of n in n 1.451 * [taylor]: Taking taylor expansion of PI in n 1.451 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.451 * [taylor]: Taking taylor expansion of 2.0 in n 1.451 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.451 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.451 * [taylor]: Taking taylor expansion of n in n 1.452 * [taylor]: Taking taylor expansion of PI in n 1.474 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 1.474 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.474 * [taylor]: Taking taylor expansion of 2.0 in n 1.474 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.474 * [taylor]: Taking taylor expansion of PI in n 1.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.474 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.474 * [taylor]: Taking taylor expansion of -1 in n 1.474 * [taylor]: Taking taylor expansion of n in n 1.476 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.476 * [taylor]: Taking taylor expansion of 2.0 in n 1.476 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.476 * [taylor]: Taking taylor expansion of PI in n 1.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.476 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.476 * [taylor]: Taking taylor expansion of -1 in n 1.476 * [taylor]: Taking taylor expansion of n in n 1.503 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.503 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.503 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.503 * [taylor]: Taking taylor expansion of 2.0 in n 1.503 * [taylor]: Taking taylor expansion of (* n PI) in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.503 * [taylor]: Taking taylor expansion of PI in n 1.503 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.503 * [taylor]: Taking taylor expansion of 2.0 in n 1.503 * [taylor]: Taking taylor expansion of (* n PI) in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.503 * [taylor]: Taking taylor expansion of PI in n 1.515 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.515 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.515 * [taylor]: Taking taylor expansion of 2.0 in n 1.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.515 * [taylor]: Taking taylor expansion of PI in n 1.516 * [taylor]: Taking taylor expansion of n in n 1.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.516 * [taylor]: Taking taylor expansion of 2.0 in n 1.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.516 * [taylor]: Taking taylor expansion of PI in n 1.516 * [taylor]: Taking taylor expansion of n in n 1.525 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 1.525 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.525 * [taylor]: Taking taylor expansion of 2.0 in n 1.525 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.525 * [taylor]: Taking taylor expansion of PI in n 1.525 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.525 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.525 * [taylor]: Taking taylor expansion of -1 in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.526 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.526 * [taylor]: Taking taylor expansion of 2.0 in n 1.526 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.526 * [taylor]: Taking taylor expansion of PI in n 1.526 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.526 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.526 * [taylor]: Taking taylor expansion of -1 in n 1.526 * [taylor]: Taking taylor expansion of n in n 1.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.546 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.546 * [taylor]: Taking taylor expansion of 1.0 in k 1.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.546 * [taylor]: Taking taylor expansion of k in k 1.547 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.547 * [taylor]: Taking taylor expansion of 1.0 in k 1.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.547 * [taylor]: Taking taylor expansion of k in k 1.559 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.559 * [taylor]: Taking taylor expansion of 1.0 in k 1.559 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.559 * [taylor]: Taking taylor expansion of k in k 1.560 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.560 * [taylor]: Taking taylor expansion of 1.0 in k 1.560 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.560 * [taylor]: Taking taylor expansion of k in k 1.570 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.570 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.570 * [taylor]: Taking taylor expansion of 1.0 in k 1.570 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.570 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.570 * [taylor]: Taking taylor expansion of -1 in k 1.570 * [taylor]: Taking taylor expansion of k in k 1.572 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.572 * [taylor]: Taking taylor expansion of 1.0 in k 1.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.572 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.572 * [taylor]: Taking taylor expansion of -1 in k 1.572 * [taylor]: Taking taylor expansion of k in k 1.590 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.590 * [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 1.590 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.590 * [taylor]: Taking taylor expansion of 1.0 in n 1.590 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.590 * [taylor]: Taking taylor expansion of k in n 1.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.591 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.591 * [taylor]: Taking taylor expansion of 0.5 in n 1.591 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.591 * [taylor]: Taking taylor expansion of 1.0 in n 1.591 * [taylor]: Taking taylor expansion of k in n 1.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.591 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.591 * [taylor]: Taking taylor expansion of 2.0 in n 1.591 * [taylor]: Taking taylor expansion of (* n PI) in n 1.591 * [taylor]: Taking taylor expansion of n in n 1.591 * [taylor]: Taking taylor expansion of PI in n 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.596 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.596 * [taylor]: Taking taylor expansion of k in k 1.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.598 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.598 * [taylor]: Taking taylor expansion of 0.5 in k 1.598 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.598 * [taylor]: Taking taylor expansion of 1.0 in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.598 * [taylor]: Taking taylor expansion of 2.0 in k 1.598 * [taylor]: Taking taylor expansion of (* n PI) in k 1.598 * [taylor]: Taking taylor expansion of n in k 1.598 * [taylor]: Taking taylor expansion of PI in k 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.599 * [taylor]: Taking taylor expansion of 1.0 in k 1.599 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.599 * [taylor]: Taking taylor expansion of k in k 1.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.600 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.600 * [taylor]: Taking taylor expansion of 0.5 in k 1.600 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.600 * [taylor]: Taking taylor expansion of 1.0 in k 1.600 * [taylor]: Taking taylor expansion of k in k 1.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.600 * [taylor]: Taking taylor expansion of 2.0 in k 1.600 * [taylor]: Taking taylor expansion of (* n PI) in k 1.600 * [taylor]: Taking taylor expansion of n in k 1.600 * [taylor]: Taking taylor expansion of PI in k 1.602 * [taylor]: Taking taylor expansion of 0 in n 1.607 * [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 1.607 * [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 1.607 * [taylor]: Taking taylor expansion of +nan.0 in n 1.607 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.607 * [taylor]: Taking taylor expansion of 0.5 in n 1.607 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.607 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.607 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (log PI) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.609 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.609 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.609 * [taylor]: Taking taylor expansion of 1.0 in n 1.609 * [taylor]: Taking taylor expansion of (log n) in n 1.609 * [taylor]: Taking taylor expansion of n in n 1.610 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.610 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.610 * [taylor]: Taking taylor expansion of 1.0 in n 1.610 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.610 * [taylor]: Taking taylor expansion of 2.0 in n 1.629 * [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 1.629 * [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 1.629 * [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 1.629 * [taylor]: Taking taylor expansion of +nan.0 in n 1.629 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.629 * [taylor]: Taking taylor expansion of 0.5 in n 1.629 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.629 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.629 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.629 * [taylor]: Taking taylor expansion of 1.0 in n 1.629 * [taylor]: Taking taylor expansion of (log PI) in n 1.629 * [taylor]: Taking taylor expansion of PI in n 1.631 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.631 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.631 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.631 * [taylor]: Taking taylor expansion of 1.0 in n 1.631 * [taylor]: Taking taylor expansion of (log n) in n 1.631 * [taylor]: Taking taylor expansion of n in n 1.632 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.632 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.632 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.632 * [taylor]: Taking taylor expansion of 1.0 in n 1.632 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.632 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [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 1.637 * [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 1.637 * [taylor]: Taking taylor expansion of +nan.0 in n 1.637 * [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 1.637 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.637 * [taylor]: Taking taylor expansion of 0.5 in n 1.637 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.637 * [taylor]: Taking taylor expansion of 1.0 in n 1.637 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.637 * [taylor]: Taking taylor expansion of 2.0 in n 1.639 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.639 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.639 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.639 * [taylor]: Taking taylor expansion of 1.0 in n 1.639 * [taylor]: Taking taylor expansion of (log PI) in n 1.639 * [taylor]: Taking taylor expansion of PI in n 1.641 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.641 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [taylor]: Taking taylor expansion of (log n) in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.646 * [taylor]: Taking taylor expansion of 2.0 in n 1.646 * [taylor]: Taking taylor expansion of (* n PI) in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.646 * [taylor]: Taking taylor expansion of PI in n 1.702 * [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 1.702 * [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 1.702 * [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 1.702 * [taylor]: Taking taylor expansion of +nan.0 in n 1.702 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.702 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.702 * [taylor]: Taking taylor expansion of 0.5 in n 1.702 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.702 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.702 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.702 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.702 * [taylor]: Taking taylor expansion of 1.0 in n 1.702 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.702 * [taylor]: Taking taylor expansion of 2.0 in n 1.704 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.704 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (log n) in n 1.704 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.705 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.705 * [taylor]: Taking taylor expansion of 1.0 in n 1.705 * [taylor]: Taking taylor expansion of (log PI) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.710 * [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 1.710 * [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 1.710 * [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 1.710 * [taylor]: Taking taylor expansion of +nan.0 in n 1.710 * [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 1.710 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.710 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.710 * [taylor]: Taking taylor expansion of 0.5 in n 1.710 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.710 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.710 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.711 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.711 * [taylor]: Taking taylor expansion of 1.0 in n 1.711 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.711 * [taylor]: Taking taylor expansion of 2.0 in n 1.712 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.712 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.712 * [taylor]: Taking taylor expansion of 1.0 in n 1.712 * [taylor]: Taking taylor expansion of (log PI) in n 1.712 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.714 * [taylor]: Taking taylor expansion of 1.0 in n 1.714 * [taylor]: Taking taylor expansion of (log n) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.719 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.719 * [taylor]: Taking taylor expansion of 2.0 in n 1.719 * [taylor]: Taking taylor expansion of (* n PI) in n 1.719 * [taylor]: Taking taylor expansion of n in n 1.719 * [taylor]: Taking taylor expansion of PI in n 1.722 * [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 1.722 * [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 1.722 * [taylor]: Taking taylor expansion of +nan.0 in n 1.722 * [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 1.722 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.722 * [taylor]: Taking taylor expansion of 0.5 in n 1.722 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.722 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.722 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.722 * [taylor]: Taking taylor expansion of 1.0 in n 1.722 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.722 * [taylor]: Taking taylor expansion of 2.0 in n 1.724 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.724 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.724 * [taylor]: Taking taylor expansion of 1.0 in n 1.724 * [taylor]: Taking taylor expansion of (log PI) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.726 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.726 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.726 * [taylor]: Taking taylor expansion of 1.0 in n 1.726 * [taylor]: Taking taylor expansion of (log n) in n 1.726 * [taylor]: Taking taylor expansion of n in n 1.730 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.730 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.730 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.730 * [taylor]: Taking taylor expansion of 2.0 in n 1.730 * [taylor]: Taking taylor expansion of (* n PI) in n 1.730 * [taylor]: Taking taylor expansion of n in n 1.730 * [taylor]: Taking taylor expansion of PI in n 1.813 * [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 1.813 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.813 * [taylor]: Taking taylor expansion of 1.0 in n 1.813 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.813 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.813 * [taylor]: Taking taylor expansion of k in n 1.813 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.813 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.813 * [taylor]: Taking taylor expansion of 0.5 in n 1.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.813 * [taylor]: Taking taylor expansion of 1.0 in n 1.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.813 * [taylor]: Taking taylor expansion of k in n 1.813 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.813 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.813 * [taylor]: Taking taylor expansion of 2.0 in n 1.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.813 * [taylor]: Taking taylor expansion of PI in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.817 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.817 * [taylor]: Taking taylor expansion of 1.0 in k 1.817 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.817 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.817 * [taylor]: Taking taylor expansion of k in k 1.819 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.819 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.819 * [taylor]: Taking taylor expansion of 0.5 in k 1.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.819 * [taylor]: Taking taylor expansion of 1.0 in k 1.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.819 * [taylor]: Taking taylor expansion of k in k 1.819 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.819 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.819 * [taylor]: Taking taylor expansion of 2.0 in k 1.819 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.819 * [taylor]: Taking taylor expansion of PI in k 1.819 * [taylor]: Taking taylor expansion of n in k 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.820 * [taylor]: Taking taylor expansion of 1.0 in k 1.820 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.820 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.820 * [taylor]: Taking taylor expansion of k in k 1.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.821 * [taylor]: Taking taylor expansion of 0.5 in k 1.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.821 * [taylor]: Taking taylor expansion of 1.0 in k 1.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.821 * [taylor]: Taking taylor expansion of k in k 1.822 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.822 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.822 * [taylor]: Taking taylor expansion of 2.0 in k 1.822 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.822 * [taylor]: Taking taylor expansion of PI in k 1.822 * [taylor]: Taking taylor expansion of n in k 1.823 * [taylor]: Taking taylor expansion of 0 in n 1.824 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.824 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.824 * [taylor]: Taking taylor expansion of +nan.0 in n 1.824 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.824 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.824 * [taylor]: Taking taylor expansion of 0.5 in n 1.824 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.824 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.824 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.824 * [taylor]: Taking taylor expansion of 2.0 in n 1.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.824 * [taylor]: Taking taylor expansion of PI in n 1.824 * [taylor]: Taking taylor expansion of n in n 1.825 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.825 * [taylor]: Taking taylor expansion of 1.0 in n 1.825 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.825 * [taylor]: Taking taylor expansion of k in n 1.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.834 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.834 * [taylor]: Taking taylor expansion of +nan.0 in n 1.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.834 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.834 * [taylor]: Taking taylor expansion of 0.5 in n 1.834 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.834 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.834 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.834 * [taylor]: Taking taylor expansion of 2.0 in n 1.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.834 * [taylor]: Taking taylor expansion of PI in n 1.834 * [taylor]: Taking taylor expansion of n in n 1.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.835 * [taylor]: Taking taylor expansion of 1.0 in n 1.835 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.835 * [taylor]: Taking taylor expansion of k in n 1.858 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.858 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.858 * [taylor]: Taking taylor expansion of +nan.0 in n 1.858 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.858 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.858 * [taylor]: Taking taylor expansion of 0.5 in n 1.858 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.858 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.858 * [taylor]: Taking taylor expansion of 2.0 in n 1.858 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.858 * [taylor]: Taking taylor expansion of PI in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.859 * [taylor]: Taking taylor expansion of 1.0 in n 1.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.859 * [taylor]: Taking taylor expansion of k in n 1.868 * [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 1.868 * [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 1.868 * [taylor]: Taking taylor expansion of 1.0 in n 1.868 * [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 1.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.868 * [taylor]: Taking taylor expansion of 0.5 in n 1.868 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.868 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.868 * [taylor]: Taking taylor expansion of k in n 1.868 * [taylor]: Taking taylor expansion of 1.0 in n 1.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.868 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.868 * [taylor]: Taking taylor expansion of 2.0 in n 1.868 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.868 * [taylor]: Taking taylor expansion of PI in n 1.869 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.869 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.869 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.869 * [taylor]: Taking taylor expansion of -1 in n 1.869 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.873 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.873 * [taylor]: Taking taylor expansion of -1 in n 1.873 * [taylor]: Taking taylor expansion of k in n 1.874 * [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 1.874 * [taylor]: Taking taylor expansion of 1.0 in k 1.874 * [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 1.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.875 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.875 * [taylor]: Taking taylor expansion of 0.5 in k 1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.875 * [taylor]: Taking taylor expansion of k in k 1.875 * [taylor]: Taking taylor expansion of 1.0 in k 1.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.875 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.875 * [taylor]: Taking taylor expansion of 2.0 in k 1.875 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.875 * [taylor]: Taking taylor expansion of PI in k 1.875 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.875 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.875 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.875 * [taylor]: Taking taylor expansion of -1 in k 1.875 * [taylor]: Taking taylor expansion of n in k 1.876 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.877 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.877 * [taylor]: Taking taylor expansion of -1 in k 1.877 * [taylor]: Taking taylor expansion of k in k 1.878 * [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 1.878 * [taylor]: Taking taylor expansion of 1.0 in k 1.878 * [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 1.878 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.878 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.878 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.878 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.878 * [taylor]: Taking taylor expansion of 0.5 in k 1.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.878 * [taylor]: Taking taylor expansion of k in k 1.878 * [taylor]: Taking taylor expansion of 1.0 in k 1.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.879 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.879 * [taylor]: Taking taylor expansion of 2.0 in k 1.879 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.879 * [taylor]: Taking taylor expansion of PI in k 1.879 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.879 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.879 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.879 * [taylor]: Taking taylor expansion of -1 in k 1.879 * [taylor]: Taking taylor expansion of n in k 1.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.880 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.880 * [taylor]: Taking taylor expansion of -1 in k 1.880 * [taylor]: Taking taylor expansion of k in k 1.882 * [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 1.882 * [taylor]: Taking taylor expansion of +nan.0 in n 1.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 1.882 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 1.882 * [taylor]: Taking taylor expansion of 0.5 in n 1.882 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 1.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.882 * [taylor]: Taking taylor expansion of 2.0 in n 1.882 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.882 * [taylor]: Taking taylor expansion of PI in n 1.882 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.882 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.882 * [taylor]: Taking taylor expansion of -1 in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.885 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.885 * [taylor]: Taking taylor expansion of k in n 1.885 * [taylor]: Taking taylor expansion of 1.0 in n 1.892 * [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 1.892 * [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 1.892 * [taylor]: Taking taylor expansion of +nan.0 in n 1.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 1.892 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 1.892 * [taylor]: Taking taylor expansion of 0.5 in n 1.893 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 1.893 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.893 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.893 * [taylor]: Taking taylor expansion of 2.0 in n 1.893 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.893 * [taylor]: Taking taylor expansion of PI in n 1.893 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.893 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.893 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.893 * [taylor]: Taking taylor expansion of -1 in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.896 * [taylor]: Taking taylor expansion of k in n 1.896 * [taylor]: Taking taylor expansion of 1.0 in n 1.923 * * * [progress]: simplifying candidates 1.925 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (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)) (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 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)) (+ (+ (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (- (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) 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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))) 1.0) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt (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))) 1.0) (sqrt (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))) 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)) (* 1.0 (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2)))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +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)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +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) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) k) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n) (fma (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) +nan.0 (* +nan.0 (/ (* k (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI)))))) n))))) 2.033 * * * [progress]: adding candidates to table 2.634 * * [progress]: iteration 3 / 4 2.634 * * * [progress]: picking best candidate 2.652 * * * * [pick]: Picked # 2.653 * * * [progress]: localizing error 2.672 * * * [progress]: generating rewritten candidates 2.672 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 2.678 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.682 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.696 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.720 * * * [progress]: generating series expansions 2.720 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 2.720 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 2.720 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.720 * [taylor]: Taking taylor expansion of 2.0 in n 2.720 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.720 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.720 * [taylor]: Taking taylor expansion of n in n 2.722 * [taylor]: Taking taylor expansion of PI in n 2.722 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.722 * [taylor]: Taking taylor expansion of 2.0 in n 2.722 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.722 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.722 * [taylor]: Taking taylor expansion of n in n 2.723 * [taylor]: Taking taylor expansion of PI in n 2.744 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.744 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.744 * [taylor]: Taking taylor expansion of 2.0 in n 2.744 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.744 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.745 * [taylor]: Taking taylor expansion of 2.0 in n 2.745 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.746 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.746 * [taylor]: Taking taylor expansion of n in n 2.747 * [taylor]: Taking taylor expansion of PI in n 2.768 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.768 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.768 * [taylor]: Taking taylor expansion of 2.0 in n 2.768 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.768 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.768 * [taylor]: Taking taylor expansion of -1 in n 2.768 * [taylor]: Taking taylor expansion of n in n 2.769 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.770 * [taylor]: Taking taylor expansion of 2.0 in n 2.770 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.770 * [taylor]: Taking taylor expansion of PI in n 2.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.770 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.770 * [taylor]: Taking taylor expansion of -1 in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.790 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.791 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.791 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.791 * [taylor]: Taking taylor expansion of 1.0 in k 2.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.791 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.791 * [taylor]: Taking taylor expansion of k in k 2.792 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.792 * [taylor]: Taking taylor expansion of 1.0 in k 2.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.792 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.792 * [taylor]: Taking taylor expansion of k in k 2.806 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.806 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.806 * [taylor]: Taking taylor expansion of 1.0 in k 2.806 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.806 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.817 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.817 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.817 * [taylor]: Taking taylor expansion of 1.0 in k 2.817 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.817 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.817 * [taylor]: Taking taylor expansion of -1 in k 2.817 * [taylor]: Taking taylor expansion of k in k 2.819 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.819 * [taylor]: Taking taylor expansion of 1.0 in k 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.819 * [taylor]: Taking taylor expansion of -1 in k 2.819 * [taylor]: Taking taylor expansion of k in k 2.831 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.832 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.832 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in n 2.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.832 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.832 * [taylor]: Taking taylor expansion of k in n 2.832 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 2.832 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 2.832 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 2.832 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 2.832 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.832 * [taylor]: Taking taylor expansion of 0.5 in n 2.832 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.832 * [taylor]: Taking taylor expansion of 1.0 in n 2.832 * [taylor]: Taking taylor expansion of k in n 2.832 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.832 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.832 * [taylor]: Taking taylor expansion of 2.0 in n 2.833 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.833 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.833 * [taylor]: Taking taylor expansion of n in n 2.834 * [taylor]: Taking taylor expansion of PI in n 2.842 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 2.842 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 2.842 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.842 * [taylor]: Taking taylor expansion of 0.5 in n 2.842 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.842 * [taylor]: Taking taylor expansion of 1.0 in n 2.842 * [taylor]: Taking taylor expansion of k in n 2.842 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.842 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.842 * [taylor]: Taking taylor expansion of n in n 2.844 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in k 2.844 * [taylor]: Taking taylor expansion of 1.0 in k 2.844 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in k 2.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.844 * [taylor]: Taking taylor expansion of k in k 2.846 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 2.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 2.846 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 2.846 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 2.846 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.846 * [taylor]: Taking taylor expansion of 0.5 in k 2.846 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.846 * [taylor]: Taking taylor expansion of 1.0 in k 2.846 * [taylor]: Taking taylor expansion of k in k 2.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 2.846 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 2.846 * [taylor]: Taking taylor expansion of 2.0 in k 2.846 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 2.846 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.846 * [taylor]: Taking taylor expansion of n in k 2.846 * [taylor]: Taking taylor expansion of PI in k 2.847 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 2.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 2.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 2.847 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.847 * [taylor]: Taking taylor expansion of 0.5 in k 2.847 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.847 * [taylor]: Taking taylor expansion of 1.0 in k 2.847 * [taylor]: Taking taylor expansion of k in k 2.847 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 2.847 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.847 * [taylor]: Taking taylor expansion of n in k 2.848 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in k 2.848 * [taylor]: Taking taylor expansion of 1.0 in k 2.848 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in k 2.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.848 * [taylor]: Taking taylor expansion of k in k 2.849 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 2.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 2.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 2.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 2.849 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.849 * [taylor]: Taking taylor expansion of 0.5 in k 2.849 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.850 * [taylor]: Taking taylor expansion of 1.0 in k 2.850 * [taylor]: Taking taylor expansion of k in k 2.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 2.850 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 2.850 * [taylor]: Taking taylor expansion of 2.0 in k 2.850 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 2.850 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.850 * [taylor]: Taking taylor expansion of n in k 2.850 * [taylor]: Taking taylor expansion of PI in k 2.851 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 2.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 2.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 2.851 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.851 * [taylor]: Taking taylor expansion of 0.5 in k 2.851 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.851 * [taylor]: Taking taylor expansion of 1.0 in k 2.851 * [taylor]: Taking taylor expansion of k in k 2.851 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 2.851 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.851 * [taylor]: Taking taylor expansion of n in k 2.853 * [taylor]: Taking taylor expansion of 0 in n 2.865 * [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 2.865 * [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 2.865 * [taylor]: Taking taylor expansion of +nan.0 in n 2.865 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.865 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.865 * [taylor]: Taking taylor expansion of 0.5 in n 2.865 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.865 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.865 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.865 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.865 * [taylor]: Taking taylor expansion of 1.0 in n 2.865 * [taylor]: Taking taylor expansion of (log PI) in n 2.865 * [taylor]: Taking taylor expansion of PI in n 2.867 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.867 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.867 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.867 * [taylor]: Taking taylor expansion of 1.0 in n 2.867 * [taylor]: Taking taylor expansion of (log n) in n 2.867 * [taylor]: Taking taylor expansion of n in n 2.867 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.867 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.867 * [taylor]: Taking taylor expansion of 1.0 in n 2.867 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.867 * [taylor]: Taking taylor expansion of 2.0 in n 2.904 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 2.904 * [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 PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 2.904 * [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 2.904 * [taylor]: Taking taylor expansion of +nan.0 in n 2.904 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.904 * [taylor]: Taking taylor expansion of 0.5 in n 2.904 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.904 * [taylor]: Taking taylor expansion of 1.0 in n 2.904 * [taylor]: Taking taylor expansion of (log PI) in n 2.904 * [taylor]: Taking taylor expansion of PI in n 2.906 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.906 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.906 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.906 * [taylor]: Taking taylor expansion of 1.0 in n 2.906 * [taylor]: Taking taylor expansion of (log n) in n 2.906 * [taylor]: Taking taylor expansion of n in n 2.906 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.906 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.907 * [taylor]: Taking taylor expansion of 1.0 in n 2.907 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.907 * [taylor]: Taking taylor expansion of 2.0 in n 2.912 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 2.912 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.912 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) in n 2.912 * [taylor]: Taking taylor expansion of +nan.0 in n 2.912 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI)))) in n 2.912 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.912 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.912 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.912 * [taylor]: Taking taylor expansion of 0.5 in n 2.912 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.912 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.912 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.912 * [taylor]: Taking taylor expansion of 1.0 in n 2.912 * [taylor]: Taking taylor expansion of (log PI) in n 2.912 * [taylor]: Taking taylor expansion of PI in n 2.914 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.914 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.914 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.914 * [taylor]: Taking taylor expansion of 1.0 in n 2.914 * [taylor]: Taking taylor expansion of (log n) in n 2.914 * [taylor]: Taking taylor expansion of n in n 2.915 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.915 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.915 * [taylor]: Taking taylor expansion of 1.0 in n 2.915 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.915 * [taylor]: Taking taylor expansion of 2.0 in n 2.920 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.920 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.920 * [taylor]: Taking taylor expansion of 2.0 in n 2.920 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.920 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.920 * [taylor]: Taking taylor expansion of n in n 2.922 * [taylor]: Taking taylor expansion of PI in n 2.926 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.926 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.926 * [taylor]: Taking taylor expansion of +nan.0 in n 2.926 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.926 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.926 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.926 * [taylor]: Taking taylor expansion of n in n 2.927 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.928 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.928 * [taylor]: Taking taylor expansion of 0.5 in n 2.928 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.928 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.928 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.928 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.928 * [taylor]: Taking taylor expansion of 1.0 in n 2.928 * [taylor]: Taking taylor expansion of (log PI) in n 2.928 * [taylor]: Taking taylor expansion of PI in n 2.930 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.930 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.930 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.930 * [taylor]: Taking taylor expansion of 1.0 in n 2.930 * [taylor]: Taking taylor expansion of (log n) in n 2.930 * [taylor]: Taking taylor expansion of n in n 2.931 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.931 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.931 * [taylor]: Taking taylor expansion of 1.0 in n 2.931 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.931 * [taylor]: Taking taylor expansion of 2.0 in n 3.028 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))))))) in n 3.028 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))))))) in n 3.028 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.028 * [taylor]: Taking taylor expansion of +nan.0 in n 3.028 * [taylor]: Taking taylor expansion of (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.028 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) in n 3.028 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.028 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.028 * [taylor]: Taking taylor expansion of n in n 3.030 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.030 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.030 * [taylor]: Taking taylor expansion of 2.0 in n 3.030 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.030 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.030 * [taylor]: Taking taylor expansion of n in n 3.031 * [taylor]: Taking taylor expansion of PI in n 3.035 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.035 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.035 * [taylor]: Taking taylor expansion of 0.5 in n 3.035 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.035 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.035 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.035 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.035 * [taylor]: Taking taylor expansion of 1.0 in n 3.035 * [taylor]: Taking taylor expansion of (log PI) in n 3.035 * [taylor]: Taking taylor expansion of PI in n 3.037 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.037 * [taylor]: Taking taylor expansion of 1.0 in n 3.037 * [taylor]: Taking taylor expansion of (log n) in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.038 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.038 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.038 * [taylor]: Taking taylor expansion of 1.0 in n 3.038 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.038 * [taylor]: Taking taylor expansion of 2.0 in n 3.043 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))))) in n 3.043 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))))) in n 3.043 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.044 * [taylor]: Taking taylor expansion of +nan.0 in n 3.044 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.044 * [taylor]: Taking taylor expansion of (pow (log (sqrt n)) 2) in n 3.044 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.044 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.044 * [taylor]: Taking taylor expansion of n in n 3.045 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.045 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.045 * [taylor]: Taking taylor expansion of 0.5 in n 3.045 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.046 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.046 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.046 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.046 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.046 * [taylor]: Taking taylor expansion of 1.0 in n 3.046 * [taylor]: Taking taylor expansion of (log PI) in n 3.046 * [taylor]: Taking taylor expansion of PI in n 3.047 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.047 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.047 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.047 * [taylor]: Taking taylor expansion of 1.0 in n 3.047 * [taylor]: Taking taylor expansion of (log n) in n 3.048 * [taylor]: Taking taylor expansion of n in n 3.048 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.048 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.048 * [taylor]: Taking taylor expansion of 1.0 in n 3.048 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.048 * [taylor]: Taking taylor expansion of 2.0 in n 3.054 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))) in n 3.054 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))) in n 3.054 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) in n 3.054 * [taylor]: Taking taylor expansion of +nan.0 in n 3.054 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI)))) in n 3.054 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.054 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.054 * [taylor]: Taking taylor expansion of 0.5 in n 3.054 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.054 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.054 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.054 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.054 * [taylor]: Taking taylor expansion of 1.0 in n 3.054 * [taylor]: Taking taylor expansion of (log PI) in n 3.054 * [taylor]: Taking taylor expansion of PI in n 3.056 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.056 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.056 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.056 * [taylor]: Taking taylor expansion of 1.0 in n 3.056 * [taylor]: Taking taylor expansion of (log n) in n 3.056 * [taylor]: Taking taylor expansion of n in n 3.057 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.057 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.057 * [taylor]: Taking taylor expansion of 1.0 in n 3.057 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.057 * [taylor]: Taking taylor expansion of 2.0 in n 3.066 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.066 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.066 * [taylor]: Taking taylor expansion of 2.0 in n 3.066 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.066 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.066 * [taylor]: Taking taylor expansion of n in n 3.067 * [taylor]: Taking taylor expansion of PI in n 3.071 * [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 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))) in n 3.071 * [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 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))) in n 3.071 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.071 * [taylor]: Taking taylor expansion of +nan.0 in n 3.071 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.071 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.071 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.071 * [taylor]: Taking taylor expansion of 0.5 in n 3.071 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.071 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.071 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.071 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.071 * [taylor]: Taking taylor expansion of 1.0 in n 3.071 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.071 * [taylor]: Taking taylor expansion of 2.0 in n 3.073 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.073 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.073 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.073 * [taylor]: Taking taylor expansion of 1.0 in n 3.073 * [taylor]: Taking taylor expansion of (log n) in n 3.073 * [taylor]: Taking taylor expansion of n in n 3.074 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.074 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.074 * [taylor]: Taking taylor expansion of 1.0 in n 3.074 * [taylor]: Taking taylor expansion of (log PI) in n 3.074 * [taylor]: Taking taylor expansion of PI in n 3.079 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))) in n 3.079 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))) in n 3.079 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.079 * [taylor]: Taking taylor expansion of +nan.0 in n 3.079 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.079 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.079 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.079 * [taylor]: Taking taylor expansion of n in n 3.081 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.081 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.081 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.081 * [taylor]: Taking taylor expansion of 0.5 in n 3.081 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.081 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.081 * [taylor]: Taking taylor expansion of 1.0 in n 3.081 * [taylor]: Taking taylor expansion of (log PI) in n 3.081 * [taylor]: Taking taylor expansion of PI in n 3.083 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.083 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.083 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.083 * [taylor]: Taking taylor expansion of 1.0 in n 3.083 * [taylor]: Taking taylor expansion of (log n) in n 3.083 * [taylor]: Taking taylor expansion of n in n 3.084 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.084 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.084 * [taylor]: Taking taylor expansion of 1.0 in n 3.084 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.084 * [taylor]: Taking taylor expansion of 2.0 in n 3.089 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) in n 3.089 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))) in n 3.089 * [taylor]: Taking taylor expansion of +nan.0 in n 3.089 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)) in n 3.089 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.089 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.089 * [taylor]: Taking taylor expansion of 0.5 in n 3.089 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.089 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.089 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.089 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.089 * [taylor]: Taking taylor expansion of 1.0 in n 3.090 * [taylor]: Taking taylor expansion of (log PI) in n 3.090 * [taylor]: Taking taylor expansion of PI in n 3.091 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.091 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.091 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.091 * [taylor]: Taking taylor expansion of 1.0 in n 3.091 * [taylor]: Taking taylor expansion of (log n) in n 3.091 * [taylor]: Taking taylor expansion of n in n 3.092 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.092 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.092 * [taylor]: Taking taylor expansion of 1.0 in n 3.092 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.092 * [taylor]: Taking taylor expansion of 2.0 in n 3.097 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* (sqrt n) PI))) 2) in n 3.097 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.097 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.097 * [taylor]: Taking taylor expansion of 2.0 in n 3.097 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.098 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.099 * [taylor]: Taking taylor expansion of PI in n 3.320 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 3.320 * [taylor]: Taking taylor expansion of 1.0 in n 3.320 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.320 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.320 * [taylor]: Taking taylor expansion of k in n 3.320 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.320 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 3.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 3.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.321 * [taylor]: Taking taylor expansion of 0.5 in n 3.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.321 * [taylor]: Taking taylor expansion of 1.0 in n 3.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.321 * [taylor]: Taking taylor expansion of k in n 3.321 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.321 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.321 * [taylor]: Taking taylor expansion of n in n 3.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 3.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 3.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.323 * [taylor]: Taking taylor expansion of 0.5 in n 3.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.323 * [taylor]: Taking taylor expansion of 1.0 in n 3.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.323 * [taylor]: Taking taylor expansion of k in n 3.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.323 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.323 * [taylor]: Taking taylor expansion of 2.0 in n 3.323 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.323 * [taylor]: Taking taylor expansion of n in n 3.325 * [taylor]: Taking taylor expansion of PI in n 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.331 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.332 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.333 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 3.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 3.333 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.333 * [taylor]: Taking taylor expansion of 0.5 in k 3.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.333 * [taylor]: Taking taylor expansion of 1.0 in k 3.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.333 * [taylor]: Taking taylor expansion of k in k 3.333 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 3.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.333 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.333 * [taylor]: Taking taylor expansion of n in k 3.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.334 * [taylor]: Taking taylor expansion of 0.5 in k 3.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.334 * [taylor]: Taking taylor expansion of 1.0 in k 3.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.334 * [taylor]: Taking taylor expansion of k in k 3.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.335 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.335 * [taylor]: Taking taylor expansion of 2.0 in k 3.335 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.335 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.335 * [taylor]: Taking taylor expansion of n in k 3.335 * [taylor]: Taking taylor expansion of PI in k 3.336 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.336 * [taylor]: Taking taylor expansion of 1.0 in k 3.336 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.336 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.336 * [taylor]: Taking taylor expansion of k in k 3.337 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.337 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 3.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 3.337 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.337 * [taylor]: Taking taylor expansion of 0.5 in k 3.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.337 * [taylor]: Taking taylor expansion of 1.0 in k 3.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.337 * [taylor]: Taking taylor expansion of k in k 3.337 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 3.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.337 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.337 * [taylor]: Taking taylor expansion of n in k 3.338 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.339 * [taylor]: Taking taylor expansion of 0.5 in k 3.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.339 * [taylor]: Taking taylor expansion of 1.0 in k 3.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.339 * [taylor]: Taking taylor expansion of k in k 3.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.339 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.339 * [taylor]: Taking taylor expansion of 2.0 in k 3.339 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.339 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.339 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.339 * [taylor]: Taking taylor expansion of n in k 3.339 * [taylor]: Taking taylor expansion of PI in k 3.341 * [taylor]: Taking taylor expansion of 0 in n 3.343 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))))) in n 3.343 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.343 * [taylor]: Taking taylor expansion of +nan.0 in n 3.343 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) in n 3.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k)))) in n 3.343 * [taylor]: Taking taylor expansion of 0.5 in n 3.343 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))) in n 3.343 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.343 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.343 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.343 * [taylor]: Taking taylor expansion of n in n 3.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.344 * [taylor]: Taking taylor expansion of 1.0 in n 3.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.344 * [taylor]: Taking taylor expansion of k in n 3.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.345 * [taylor]: Taking taylor expansion of 0.5 in n 3.345 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.345 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.345 * [taylor]: Taking taylor expansion of 2.0 in n 3.345 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.345 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.345 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.345 * [taylor]: Taking taylor expansion of n in n 3.347 * [taylor]: Taking taylor expansion of PI in n 3.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.351 * [taylor]: Taking taylor expansion of 1.0 in n 3.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.351 * [taylor]: Taking taylor expansion of k in n 3.364 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))))) in n 3.364 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.364 * [taylor]: Taking taylor expansion of +nan.0 in n 3.364 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) in n 3.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k)))) in n 3.364 * [taylor]: Taking taylor expansion of 0.5 in n 3.364 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))) in n 3.364 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.364 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.364 * [taylor]: Taking taylor expansion of n in n 3.365 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.365 * [taylor]: Taking taylor expansion of 1.0 in n 3.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.365 * [taylor]: Taking taylor expansion of k in n 3.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.367 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.367 * [taylor]: Taking taylor expansion of 0.5 in n 3.367 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.367 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.367 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.367 * [taylor]: Taking taylor expansion of 2.0 in n 3.367 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.367 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.367 * [taylor]: Taking taylor expansion of n in n 3.368 * [taylor]: Taking taylor expansion of PI in n 3.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.372 * [taylor]: Taking taylor expansion of 1.0 in n 3.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.372 * [taylor]: Taking taylor expansion of k in n 3.431 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.432 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.432 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.432 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.432 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 3.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 3.432 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.432 * [taylor]: Taking taylor expansion of 0.5 in n 3.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.432 * [taylor]: Taking taylor expansion of k in n 3.432 * [taylor]: Taking taylor expansion of 1.0 in n 3.432 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.432 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.432 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.432 * [taylor]: Taking taylor expansion of -1 in n 3.432 * [taylor]: Taking taylor expansion of n in n 3.434 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 3.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 3.434 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.435 * [taylor]: Taking taylor expansion of 0.5 in n 3.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.435 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.435 * [taylor]: Taking taylor expansion of k in n 3.435 * [taylor]: Taking taylor expansion of 1.0 in n 3.435 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.435 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.435 * [taylor]: Taking taylor expansion of 2.0 in n 3.435 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.435 * [taylor]: Taking taylor expansion of PI in n 3.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.435 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.435 * [taylor]: Taking taylor expansion of -1 in n 3.435 * [taylor]: Taking taylor expansion of n in n 3.442 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.442 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.442 * [taylor]: Taking taylor expansion of -1 in n 3.442 * [taylor]: Taking taylor expansion of k in n 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.445 * [taylor]: Taking taylor expansion of 1.0 in k 3.446 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.446 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.446 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.446 * [taylor]: Taking taylor expansion of 0.5 in k 3.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.446 * [taylor]: Taking taylor expansion of k in k 3.446 * [taylor]: Taking taylor expansion of 1.0 in k 3.446 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.446 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.446 * [taylor]: Taking taylor expansion of -1 in k 3.446 * [taylor]: Taking taylor expansion of n in k 3.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.447 * [taylor]: Taking taylor expansion of 0.5 in k 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.447 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.447 * [taylor]: Taking taylor expansion of 2.0 in k 3.447 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.447 * [taylor]: Taking taylor expansion of PI in k 3.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.447 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.447 * [taylor]: Taking taylor expansion of -1 in k 3.448 * [taylor]: Taking taylor expansion of n in k 3.449 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.449 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.449 * [taylor]: Taking taylor expansion of -1 in k 3.449 * [taylor]: Taking taylor expansion of k in k 3.450 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.450 * [taylor]: Taking taylor expansion of 1.0 in k 3.450 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.450 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.450 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.450 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.450 * [taylor]: Taking taylor expansion of 0.5 in k 3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.451 * [taylor]: Taking taylor expansion of k in k 3.451 * [taylor]: Taking taylor expansion of 1.0 in k 3.451 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.451 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.451 * [taylor]: Taking taylor expansion of -1 in k 3.451 * [taylor]: Taking taylor expansion of n in k 3.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.452 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.452 * [taylor]: Taking taylor expansion of 0.5 in k 3.452 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.452 * [taylor]: Taking taylor expansion of k in k 3.452 * [taylor]: Taking taylor expansion of 1.0 in k 3.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.452 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.452 * [taylor]: Taking taylor expansion of 2.0 in k 3.452 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.452 * [taylor]: Taking taylor expansion of PI in k 3.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.452 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.452 * [taylor]: Taking taylor expansion of -1 in k 3.452 * [taylor]: Taking taylor expansion of n in k 3.453 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.453 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.453 * [taylor]: Taking taylor expansion of -1 in k 3.453 * [taylor]: Taking taylor expansion of k in k 3.455 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 3.456 * [taylor]: Taking taylor expansion of +nan.0 in n 3.456 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 3.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) in n 3.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0))) in n 3.456 * [taylor]: Taking taylor expansion of 0.5 in n 3.456 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)) in n 3.456 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.456 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.456 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.456 * [taylor]: Taking taylor expansion of -1 in n 3.456 * [taylor]: Taking taylor expansion of n in n 3.457 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.457 * [taylor]: Taking taylor expansion of k in n 3.457 * [taylor]: Taking taylor expansion of 1.0 in n 3.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 3.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 3.458 * [taylor]: Taking taylor expansion of 0.5 in n 3.458 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 3.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.458 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.458 * [taylor]: Taking taylor expansion of 2.0 in n 3.458 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.458 * [taylor]: Taking taylor expansion of PI in n 3.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.458 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.458 * [taylor]: Taking taylor expansion of -1 in n 3.459 * [taylor]: Taking taylor expansion of n in n 3.464 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.464 * [taylor]: Taking taylor expansion of k in n 3.464 * [taylor]: Taking taylor expansion of 1.0 in n 3.476 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))))) in n 3.476 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 3.476 * [taylor]: Taking taylor expansion of +nan.0 in n 3.476 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 3.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) in n 3.476 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0))) in n 3.476 * [taylor]: Taking taylor expansion of 0.5 in n 3.476 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)) in n 3.476 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.476 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.476 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.476 * [taylor]: Taking taylor expansion of -1 in n 3.476 * [taylor]: Taking taylor expansion of n in n 3.478 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.478 * [taylor]: Taking taylor expansion of k in n 3.478 * [taylor]: Taking taylor expansion of 1.0 in n 3.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 3.484 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 3.484 * [taylor]: Taking taylor expansion of 0.5 in n 3.484 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 3.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.484 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.484 * [taylor]: Taking taylor expansion of 2.0 in n 3.484 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.484 * [taylor]: Taking taylor expansion of PI in n 3.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.484 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.484 * [taylor]: Taking taylor expansion of -1 in n 3.484 * [taylor]: Taking taylor expansion of n in n 3.491 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.491 * [taylor]: Taking taylor expansion of k in n 3.491 * [taylor]: Taking taylor expansion of 1.0 in n 3.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.543 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 3.543 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))))) in n 3.543 * [taylor]: Taking taylor expansion of 1.0 in n 3.543 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k)))) in n 3.543 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.543 * [taylor]: Taking taylor expansion of k in n 3.543 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 3.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 3.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 3.543 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.543 * [taylor]: Taking taylor expansion of 0.5 in n 3.543 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.543 * [taylor]: Taking taylor expansion of 1.0 in n 3.543 * [taylor]: Taking taylor expansion of k in n 3.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.544 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.544 * [taylor]: Taking taylor expansion of 2.0 in n 3.544 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.544 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.544 * [taylor]: Taking taylor expansion of n in n 3.545 * [taylor]: Taking taylor expansion of PI in n 3.553 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))))) in k 3.553 * [taylor]: Taking taylor expansion of 1.0 in k 3.553 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k)))) in k 3.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.553 * [taylor]: Taking taylor expansion of k in k 3.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 3.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 3.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.554 * [taylor]: Taking taylor expansion of 0.5 in k 3.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.554 * [taylor]: Taking taylor expansion of 1.0 in k 3.554 * [taylor]: Taking taylor expansion of k in k 3.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 3.554 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 3.554 * [taylor]: Taking taylor expansion of 2.0 in k 3.554 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 3.554 * [taylor]: Taking taylor expansion of (sqrt n) in k 3.554 * [taylor]: Taking taylor expansion of n in k 3.554 * [taylor]: Taking taylor expansion of PI in k 3.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))))) in k 3.555 * [taylor]: Taking taylor expansion of 1.0 in k 3.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k)))) in k 3.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.556 * [taylor]: Taking taylor expansion of k in k 3.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 3.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 3.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 3.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.557 * [taylor]: Taking taylor expansion of 0.5 in k 3.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.557 * [taylor]: Taking taylor expansion of 1.0 in k 3.557 * [taylor]: Taking taylor expansion of k in k 3.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 3.557 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 3.557 * [taylor]: Taking taylor expansion of 2.0 in k 3.557 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 3.557 * [taylor]: Taking taylor expansion of (sqrt n) in k 3.557 * [taylor]: Taking taylor expansion of n in k 3.557 * [taylor]: Taking taylor expansion of PI in k 3.558 * [taylor]: Taking taylor expansion of 0 in n 3.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 3.566 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 3.566 * [taylor]: Taking taylor expansion of +nan.0 in n 3.566 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 3.566 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.566 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.566 * [taylor]: Taking taylor expansion of 0.5 in n 3.566 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.566 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.566 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.566 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.566 * [taylor]: Taking taylor expansion of 1.0 in n 3.566 * [taylor]: Taking taylor expansion of (log PI) in n 3.566 * [taylor]: Taking taylor expansion of PI in n 3.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.574 * [taylor]: Taking taylor expansion of 1.0 in n 3.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.574 * [taylor]: Taking taylor expansion of 2.0 in n 3.588 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 3.588 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 3.588 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 3.588 * [taylor]: Taking taylor expansion of 0.25 in n 3.588 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 3.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.588 * [taylor]: Taking taylor expansion of 1.0 in n 3.588 * [taylor]: Taking taylor expansion of (log n) in n 3.588 * [taylor]: Taking taylor expansion of n in n 3.616 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))))) in n 3.616 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))))) in n 3.616 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))))) in n 3.616 * [taylor]: Taking taylor expansion of +nan.0 in n 3.616 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI))))) in n 3.616 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.616 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.616 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.616 * [taylor]: Taking taylor expansion of 0.5 in n 3.616 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.616 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.616 * [taylor]: Taking taylor expansion of 1.0 in n 3.616 * [taylor]: Taking taylor expansion of (log PI) in n 3.616 * [taylor]: Taking taylor expansion of PI in n 3.618 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.618 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.618 * [taylor]: Taking taylor expansion of 1.0 in n 3.618 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.618 * [taylor]: Taking taylor expansion of 2.0 in n 3.631 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))) in n 3.632 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 3.632 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 3.632 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 3.632 * [taylor]: Taking taylor expansion of 0.25 in n 3.632 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 3.632 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.632 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.632 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.632 * [taylor]: Taking taylor expansion of 1.0 in n 3.632 * [taylor]: Taking taylor expansion of (log n) in n 3.632 * [taylor]: Taking taylor expansion of n in n 3.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.633 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.633 * [taylor]: Taking taylor expansion of 2.0 in n 3.633 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.633 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.633 * [taylor]: Taking taylor expansion of n in n 3.634 * [taylor]: Taking taylor expansion of PI in n 3.638 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 3.638 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 3.638 * [taylor]: Taking taylor expansion of +nan.0 in n 3.638 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 3.638 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.638 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.638 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.638 * [taylor]: Taking taylor expansion of 0.5 in n 3.638 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.638 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.638 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.638 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.638 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.638 * [taylor]: Taking taylor expansion of 1.0 in n 3.638 * [taylor]: Taking taylor expansion of (log PI) in n 3.638 * [taylor]: Taking taylor expansion of PI in n 3.640 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.640 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.640 * [taylor]: Taking taylor expansion of 1.0 in n 3.640 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.640 * [taylor]: Taking taylor expansion of 2.0 in n 3.660 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 3.660 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 3.660 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 3.660 * [taylor]: Taking taylor expansion of 0.25 in n 3.661 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 3.661 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.661 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.661 * [taylor]: Taking taylor expansion of 1.0 in n 3.661 * [taylor]: Taking taylor expansion of (log n) in n 3.661 * [taylor]: Taking taylor expansion of n in n 3.748 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))))))) in n 3.748 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))))))) in n 3.748 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))))) in n 3.748 * [taylor]: Taking taylor expansion of +nan.0 in n 3.748 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI))))) in n 3.748 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.748 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.748 * [taylor]: Taking taylor expansion of 0.5 in n 3.748 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.748 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.748 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.748 * [taylor]: Taking taylor expansion of 1.0 in n 3.748 * [taylor]: Taking taylor expansion of (log PI) in n 3.748 * [taylor]: Taking taylor expansion of PI in n 3.750 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.750 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.750 * [taylor]: Taking taylor expansion of 1.0 in n 3.750 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.750 * [taylor]: Taking taylor expansion of 2.0 in n 3.763 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.25) (log (* 2.0 (* (sqrt n) PI)))) in n 3.763 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 3.763 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 3.764 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 3.764 * [taylor]: Taking taylor expansion of 0.25 in n 3.764 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 3.764 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.764 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.764 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.764 * [taylor]: Taking taylor expansion of 1.0 in n 3.764 * [taylor]: Taking taylor expansion of (log n) in n 3.764 * [taylor]: Taking taylor expansion of n in n 3.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.764 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.764 * [taylor]: Taking taylor expansion of 2.0 in n 3.764 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.765 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.765 * [taylor]: Taking taylor expansion of n in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.770 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))))) in n 3.770 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))))) in n 3.770 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) in n 3.770 * [taylor]: Taking taylor expansion of +nan.0 in n 3.770 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2))) in n 3.770 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.770 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.770 * [taylor]: Taking taylor expansion of 0.5 in n 3.770 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.770 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.770 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.770 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.770 * [taylor]: Taking taylor expansion of 1.0 in n 3.770 * [taylor]: Taking taylor expansion of (log PI) in n 3.770 * [taylor]: Taking taylor expansion of PI in n 3.772 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.772 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.772 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.772 * [taylor]: Taking taylor expansion of 1.0 in n 3.772 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.772 * [taylor]: Taking taylor expansion of 2.0 in n 3.785 * [taylor]: Taking taylor expansion of (* (pow (pow n 1.0) 0.25) (pow (log (* 2.0 (* (sqrt n) PI))) 2)) in n 3.785 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 3.785 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 3.786 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 3.786 * [taylor]: Taking taylor expansion of 0.25 in n 3.786 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 3.786 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.786 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.786 * [taylor]: Taking taylor expansion of 1.0 in n 3.786 * [taylor]: Taking taylor expansion of (log n) in n 3.786 * [taylor]: Taking taylor expansion of n in n 3.786 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* (sqrt n) PI))) 2) in n 3.786 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.786 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.787 * [taylor]: Taking taylor expansion of 2.0 in n 3.787 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.787 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.787 * [taylor]: Taking taylor expansion of n in n 3.788 * [taylor]: Taking taylor expansion of PI in n 3.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 3.793 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 3.793 * [taylor]: Taking taylor expansion of +nan.0 in n 3.793 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 3.793 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.793 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.793 * [taylor]: Taking taylor expansion of 0.5 in n 3.793 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.793 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.794 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.794 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.794 * [taylor]: Taking taylor expansion of 1.0 in n 3.794 * [taylor]: Taking taylor expansion of (log PI) in n 3.794 * [taylor]: Taking taylor expansion of PI in n 3.795 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.795 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.795 * [taylor]: Taking taylor expansion of 1.0 in n 3.795 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.796 * [taylor]: Taking taylor expansion of 2.0 in n 3.809 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 3.809 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 3.809 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 3.809 * [taylor]: Taking taylor expansion of 0.25 in n 3.809 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 3.809 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.809 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.809 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.809 * [taylor]: Taking taylor expansion of 1.0 in n 3.809 * [taylor]: Taking taylor expansion of (log n) in n 3.809 * [taylor]: Taking taylor expansion of n in n 3.945 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.945 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.945 * [taylor]: Taking taylor expansion of 1.0 in n 3.945 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.945 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.945 * [taylor]: Taking taylor expansion of k in n 3.945 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 3.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 3.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.945 * [taylor]: Taking taylor expansion of 0.5 in n 3.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.945 * [taylor]: Taking taylor expansion of 1.0 in n 3.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.945 * [taylor]: Taking taylor expansion of k in n 3.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.945 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.945 * [taylor]: Taking taylor expansion of 2.0 in n 3.945 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.945 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.946 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.946 * [taylor]: Taking taylor expansion of n in n 3.947 * [taylor]: Taking taylor expansion of PI in n 3.954 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.954 * [taylor]: Taking taylor expansion of 1.0 in k 3.954 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.954 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.954 * [taylor]: Taking taylor expansion of k in k 3.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.955 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.955 * [taylor]: Taking taylor expansion of 0.5 in k 3.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.955 * [taylor]: Taking taylor expansion of 1.0 in k 3.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.955 * [taylor]: Taking taylor expansion of k in k 3.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.955 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.955 * [taylor]: Taking taylor expansion of 2.0 in k 3.955 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.955 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.955 * [taylor]: Taking taylor expansion of n in k 3.956 * [taylor]: Taking taylor expansion of PI in k 3.957 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.957 * [taylor]: Taking taylor expansion of 1.0 in k 3.957 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.957 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.957 * [taylor]: Taking taylor expansion of k in k 3.958 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.958 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.958 * [taylor]: Taking taylor expansion of 0.5 in k 3.958 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.958 * [taylor]: Taking taylor expansion of 1.0 in k 3.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.958 * [taylor]: Taking taylor expansion of k in k 3.958 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.958 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.958 * [taylor]: Taking taylor expansion of 2.0 in k 3.958 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.958 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.958 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.958 * [taylor]: Taking taylor expansion of n in k 3.959 * [taylor]: Taking taylor expansion of PI in k 3.960 * [taylor]: Taking taylor expansion of 0 in n 3.961 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.961 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.961 * [taylor]: Taking taylor expansion of +nan.0 in n 3.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.961 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.961 * [taylor]: Taking taylor expansion of 0.5 in n 3.961 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.961 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.961 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.961 * [taylor]: Taking taylor expansion of 2.0 in n 3.961 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.961 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.961 * [taylor]: Taking taylor expansion of n in n 3.962 * [taylor]: Taking taylor expansion of PI in n 3.967 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.967 * [taylor]: Taking taylor expansion of 1.0 in n 3.967 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.967 * [taylor]: Taking taylor expansion of k in n 3.977 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.977 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.977 * [taylor]: Taking taylor expansion of +nan.0 in n 3.977 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.977 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.977 * [taylor]: Taking taylor expansion of 0.5 in n 3.977 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.977 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.977 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.977 * [taylor]: Taking taylor expansion of 2.0 in n 3.977 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.977 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.977 * [taylor]: Taking taylor expansion of n in n 3.978 * [taylor]: Taking taylor expansion of PI in n 3.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.983 * [taylor]: Taking taylor expansion of 1.0 in n 3.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.983 * [taylor]: Taking taylor expansion of k in n 4.025 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.025 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.025 * [taylor]: Taking taylor expansion of 1.0 in n 4.025 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.025 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.026 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 4.026 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 4.026 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.026 * [taylor]: Taking taylor expansion of 0.5 in n 4.026 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.026 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.026 * [taylor]: Taking taylor expansion of k in n 4.026 * [taylor]: Taking taylor expansion of 1.0 in n 4.026 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 4.026 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.026 * [taylor]: Taking taylor expansion of 2.0 in n 4.026 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.026 * [taylor]: Taking taylor expansion of PI in n 4.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.026 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.026 * [taylor]: Taking taylor expansion of -1 in n 4.026 * [taylor]: Taking taylor expansion of n in n 4.034 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.034 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.034 * [taylor]: Taking taylor expansion of -1 in n 4.034 * [taylor]: Taking taylor expansion of k in n 4.035 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.035 * [taylor]: Taking taylor expansion of 1.0 in k 4.035 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.035 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 4.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 4.035 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.035 * [taylor]: Taking taylor expansion of 0.5 in k 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.036 * [taylor]: Taking taylor expansion of k in k 4.036 * [taylor]: Taking taylor expansion of 1.0 in k 4.036 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 4.036 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 4.036 * [taylor]: Taking taylor expansion of 2.0 in k 4.036 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 4.036 * [taylor]: Taking taylor expansion of PI in k 4.036 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.036 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.036 * [taylor]: Taking taylor expansion of -1 in k 4.036 * [taylor]: Taking taylor expansion of n in k 4.037 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.037 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.037 * [taylor]: Taking taylor expansion of -1 in k 4.037 * [taylor]: Taking taylor expansion of k in k 4.038 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.038 * [taylor]: Taking taylor expansion of 1.0 in k 4.039 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 4.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 4.039 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.039 * [taylor]: Taking taylor expansion of 0.5 in k 4.039 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.039 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.039 * [taylor]: Taking taylor expansion of k in k 4.039 * [taylor]: Taking taylor expansion of 1.0 in k 4.039 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 4.039 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 4.039 * [taylor]: Taking taylor expansion of 2.0 in k 4.039 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 4.039 * [taylor]: Taking taylor expansion of PI in k 4.039 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.039 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.039 * [taylor]: Taking taylor expansion of -1 in k 4.039 * [taylor]: Taking taylor expansion of n in k 4.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.040 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.040 * [taylor]: Taking taylor expansion of -1 in k 4.040 * [taylor]: Taking taylor expansion of k in k 4.042 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 4.042 * [taylor]: Taking taylor expansion of +nan.0 in n 4.042 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 4.042 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 4.042 * [taylor]: Taking taylor expansion of 0.5 in n 4.042 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 4.042 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 4.042 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.042 * [taylor]: Taking taylor expansion of 2.0 in n 4.042 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.042 * [taylor]: Taking taylor expansion of PI in n 4.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.042 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.042 * [taylor]: Taking taylor expansion of -1 in n 4.042 * [taylor]: Taking taylor expansion of n in n 4.048 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.048 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.048 * [taylor]: Taking taylor expansion of k in n 4.048 * [taylor]: Taking taylor expansion of 1.0 in n 4.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 4.057 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 4.057 * [taylor]: Taking taylor expansion of +nan.0 in n 4.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 4.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 4.057 * [taylor]: Taking taylor expansion of 0.5 in n 4.057 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 4.057 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 4.057 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.057 * [taylor]: Taking taylor expansion of 2.0 in n 4.057 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.057 * [taylor]: Taking taylor expansion of PI in n 4.057 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.057 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.057 * [taylor]: Taking taylor expansion of -1 in n 4.057 * [taylor]: Taking taylor expansion of n in n 4.062 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.062 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.062 * [taylor]: Taking taylor expansion of k in n 4.062 * [taylor]: Taking taylor expansion of 1.0 in n 4.102 * * * [progress]: simplifying candidates 4.105 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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 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(* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (pow 1.0 3) (sqrt k)) (/ (pow (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) 3) k)) (* (/ (pow 1.0 3) (sqrt k)) (/ (pow (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) 3) k)) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt 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) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (- (* +nan.0 (* (pow n 2) PI))) (fma +nan.0 (* n PI) (- (* +nan.0 (* (pow n 3) PI))))) (+ (- (* +nan.0 (/ PI n))) (fma +nan.0 (/ PI (pow n 2)) (- (* +nan.0 PI)))) (+ (- (* +nan.0 (/ PI n))) (fma +nan.0 (/ PI (pow n 2)) (- (* +nan.0 PI)))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (- (* +nan.0 PI))) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log +nan.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log +nan.0))) (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 (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))) 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 +nan.0)) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log +nan.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (fma +nan.0 (* (* (pow k 2) (* (log +nan.0) (log n))) (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 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (* k n))) (fma +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k)))))) (+ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) (- (* +nan.0 (/ (* k (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) n)) (fma +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k)))))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))))) (- (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log n))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (- (* +nan.0 (* (pow k 2) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (- (* +nan.0 (* (* (pow k 2) (log (- (* +nan.0 PI)))) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (- (* +nan.0 (* (* k (log n)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (- (* +nan.0 (* (* (pow k 2) (pow (log (- (* +nan.0 PI))) 2)) (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (- (* +nan.0 (* k (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) (fma +nan.0 (* (* k (log (- (* +nan.0 PI)))) (* (pow (pow n 1.0) 0.25) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))) (* k n)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))) n)) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))) (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)))))) k))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))) n) (- (* +nan.0 (/ (* k (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n)))))) 4.157 * * * [progress]: adding candidates to table 4.746 * * [progress]: iteration 4 / 4 4.746 * * * [progress]: picking best candidate 4.767 * * * * [pick]: Picked # 4.767 * * * [progress]: localizing error 4.796 * * * [progress]: generating rewritten candidates 4.796 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 4.808 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.831 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 4.844 * * * [progress]: generating series expansions 4.844 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 4.846 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in (k n) around 0 4.846 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 4.846 * [taylor]: Taking taylor expansion of 1.0 in n 4.846 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 4.846 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.846 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.846 * [taylor]: Taking taylor expansion of k in n 4.846 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 4.846 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 4.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 4.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 4.846 * [taylor]: Taking taylor expansion of 0.5 in n 4.846 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 4.846 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.846 * [taylor]: Taking taylor expansion of 1.0 in n 4.846 * [taylor]: Taking taylor expansion of (log PI) in n 4.846 * [taylor]: Taking taylor expansion of PI in n 4.848 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.848 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.848 * [taylor]: Taking taylor expansion of 1.0 in n 4.848 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.848 * [taylor]: Taking taylor expansion of 2.0 in n 4.862 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 4.862 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 4.862 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 4.862 * [taylor]: Taking taylor expansion of 0.25 in n 4.862 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.862 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.862 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.862 * [taylor]: Taking taylor expansion of 1.0 in n 4.862 * [taylor]: Taking taylor expansion of (log n) in n 4.862 * [taylor]: Taking taylor expansion of n in n 4.863 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in k 4.863 * [taylor]: Taking taylor expansion of 1.0 in k 4.863 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in k 4.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.863 * [taylor]: Taking taylor expansion of k in k 4.865 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in k 4.865 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 4.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 4.865 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 4.865 * [taylor]: Taking taylor expansion of 0.5 in k 4.865 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 4.865 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.865 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.865 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.865 * [taylor]: Taking taylor expansion of 1.0 in k 4.865 * [taylor]: Taking taylor expansion of (log PI) in k 4.865 * [taylor]: Taking taylor expansion of PI in k 4.867 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.867 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.867 * [taylor]: Taking taylor expansion of 1.0 in k 4.867 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.867 * [taylor]: Taking taylor expansion of 2.0 in k 4.881 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in k 4.881 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in k 4.881 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in k 4.881 * [taylor]: Taking taylor expansion of 0.25 in k 4.881 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.881 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.881 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.881 * [taylor]: Taking taylor expansion of 1.0 in k 4.881 * [taylor]: Taking taylor expansion of (log n) in k 4.881 * [taylor]: Taking taylor expansion of n in k 4.881 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in k 4.881 * [taylor]: Taking taylor expansion of 1.0 in k 4.881 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in k 4.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.881 * [taylor]: Taking taylor expansion of k in k 4.883 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in k 4.883 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 4.883 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 4.883 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 4.883 * [taylor]: Taking taylor expansion of 0.5 in k 4.883 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 4.883 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.883 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.883 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.883 * [taylor]: Taking taylor expansion of 1.0 in k 4.883 * [taylor]: Taking taylor expansion of (log PI) in k 4.883 * [taylor]: Taking taylor expansion of PI in k 4.885 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.885 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.885 * [taylor]: Taking taylor expansion of 1.0 in k 4.885 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.885 * [taylor]: Taking taylor expansion of 2.0 in k 4.898 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in k 4.898 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in k 4.898 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in k 4.898 * [taylor]: Taking taylor expansion of 0.25 in k 4.898 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in k 4.898 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.898 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.899 * [taylor]: Taking taylor expansion of 1.0 in k 4.899 * [taylor]: Taking taylor expansion of (log n) in k 4.899 * [taylor]: Taking taylor expansion of n in k 4.905 * [taylor]: Taking taylor expansion of 0 in n 4.929 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 4.929 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 4.929 * [taylor]: Taking taylor expansion of +nan.0 in n 4.929 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 4.929 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 4.929 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 4.929 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 4.929 * [taylor]: Taking taylor expansion of 0.5 in n 4.929 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 4.929 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.929 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.929 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.929 * [taylor]: Taking taylor expansion of 1.0 in n 4.929 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.929 * [taylor]: Taking taylor expansion of 2.0 in n 4.931 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.931 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.931 * [taylor]: Taking taylor expansion of 1.0 in n 4.931 * [taylor]: Taking taylor expansion of (log PI) in n 4.931 * [taylor]: Taking taylor expansion of PI in n 4.944 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 4.944 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 4.944 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 4.944 * [taylor]: Taking taylor expansion of 0.25 in n 4.944 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 4.944 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.944 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.944 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.944 * [taylor]: Taking taylor expansion of 1.0 in n 4.944 * [taylor]: Taking taylor expansion of (log n) in n 4.944 * [taylor]: Taking taylor expansion of n in n 4.982 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 4.983 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 4.983 * [taylor]: Taking taylor expansion of +nan.0 in n 4.983 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 4.983 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 4.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 4.983 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 4.983 * [taylor]: Taking taylor expansion of 0.5 in n 4.983 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 4.983 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.983 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.983 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.983 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.983 * [taylor]: Taking taylor expansion of 1.0 in n 4.983 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.983 * [taylor]: Taking taylor expansion of 2.0 in n 4.985 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.985 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.985 * [taylor]: Taking taylor expansion of 1.0 in n 4.985 * [taylor]: Taking taylor expansion of (log PI) in n 4.985 * [taylor]: Taking taylor expansion of PI in n 5.005 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 5.005 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 5.005 * [taylor]: Taking taylor expansion of 0.25 in n 5.005 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 5.005 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.005 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.005 * [taylor]: Taking taylor expansion of 1.0 in n 5.005 * [taylor]: Taking taylor expansion of (log n) in n 5.005 * [taylor]: Taking taylor expansion of n in n 5.068 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)))) in n 5.068 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25))) in n 5.068 * [taylor]: Taking taylor expansion of +nan.0 in n 5.068 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow n 1.0) 0.25)) in n 5.068 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.068 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.068 * [taylor]: Taking taylor expansion of 0.5 in n 5.068 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.068 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.068 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.068 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.068 * [taylor]: Taking taylor expansion of 1.0 in n 5.068 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.068 * [taylor]: Taking taylor expansion of 2.0 in n 5.070 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.070 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.070 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.070 * [taylor]: Taking taylor expansion of 1.0 in n 5.070 * [taylor]: Taking taylor expansion of (log PI) in n 5.070 * [taylor]: Taking taylor expansion of PI in n 5.091 * [taylor]: Taking taylor expansion of (pow (pow n 1.0) 0.25) in n 5.091 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (pow n 1.0)))) in n 5.091 * [taylor]: Taking taylor expansion of (* 0.25 (log (pow n 1.0))) in n 5.091 * [taylor]: Taking taylor expansion of 0.25 in n 5.091 * [taylor]: Taking taylor expansion of (log (pow n 1.0)) in n 5.091 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.091 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.091 * [taylor]: Taking taylor expansion of 1.0 in n 5.091 * [taylor]: Taking taylor expansion of (log n) in n 5.091 * [taylor]: Taking taylor expansion of n in n 5.108 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in (k n) around 0 5.109 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in n 5.109 * [taylor]: Taking taylor expansion of 1.0 in n 5.109 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25))) in n 5.109 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.109 * [taylor]: Taking taylor expansion of k in n 5.109 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)) in n 5.109 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 5.109 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.109 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.109 * [taylor]: Taking taylor expansion of 0.5 in n 5.109 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.109 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.109 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.109 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.109 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.109 * [taylor]: Taking taylor expansion of 1.0 in n 5.109 * [taylor]: Taking taylor expansion of (log PI) in n 5.109 * [taylor]: Taking taylor expansion of PI in n 5.111 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.111 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.111 * [taylor]: Taking taylor expansion of 1.0 in n 5.111 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.111 * [taylor]: Taking taylor expansion of 2.0 in n 5.125 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.25) in n 5.125 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ 1 (pow n 1.0))))) in n 5.125 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ 1 (pow n 1.0)))) in n 5.125 * [taylor]: Taking taylor expansion of 0.25 in n 5.125 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 5.125 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 5.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.125 * [taylor]: Taking taylor expansion of 1.0 in n 5.125 * [taylor]: Taking taylor expansion of (log n) in n 5.125 * [taylor]: Taking taylor expansion of n in n 5.126 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in k 5.126 * [taylor]: Taking taylor expansion of 1.0 in k 5.126 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25))) in k 5.126 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.126 * [taylor]: Taking taylor expansion of k in k 5.127 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)) in k 5.127 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 5.127 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 5.127 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 5.127 * [taylor]: Taking taylor expansion of 0.5 in k 5.127 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 5.127 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.127 * [taylor]: Taking taylor expansion of 1.0 in k 5.127 * [taylor]: Taking taylor expansion of (log PI) in k 5.127 * [taylor]: Taking taylor expansion of PI in k 5.129 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.129 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.129 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.129 * [taylor]: Taking taylor expansion of 1.0 in k 5.129 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.130 * [taylor]: Taking taylor expansion of 2.0 in k 5.143 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.25) in k 5.143 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ 1 (pow n 1.0))))) in k 5.143 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ 1 (pow n 1.0)))) in k 5.143 * [taylor]: Taking taylor expansion of 0.25 in k 5.143 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 5.143 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 5.143 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.143 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.143 * [taylor]: Taking taylor expansion of 1.0 in k 5.143 * [taylor]: Taking taylor expansion of (log n) in k 5.143 * [taylor]: Taking taylor expansion of n in k 5.144 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in k 5.144 * [taylor]: Taking taylor expansion of 1.0 in k 5.144 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25))) in k 5.144 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.144 * [taylor]: Taking taylor expansion of k in k 5.145 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)) in k 5.145 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 5.145 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 5.145 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 5.145 * [taylor]: Taking taylor expansion of 0.5 in k 5.145 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 5.145 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.145 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.145 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.145 * [taylor]: Taking taylor expansion of 1.0 in k 5.145 * [taylor]: Taking taylor expansion of (log PI) in k 5.145 * [taylor]: Taking taylor expansion of PI in k 5.147 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.147 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.147 * [taylor]: Taking taylor expansion of 1.0 in k 5.147 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.147 * [taylor]: Taking taylor expansion of 2.0 in k 5.160 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.25) in k 5.161 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ 1 (pow n 1.0))))) in k 5.161 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ 1 (pow n 1.0)))) in k 5.161 * [taylor]: Taking taylor expansion of 0.25 in k 5.161 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in k 5.161 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in k 5.161 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.161 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.161 * [taylor]: Taking taylor expansion of 1.0 in k 5.161 * [taylor]: Taking taylor expansion of (log n) in k 5.161 * [taylor]: Taking taylor expansion of n in k 5.175 * [taylor]: Taking taylor expansion of 0 in n 5.192 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in n 5.192 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25))) in n 5.192 * [taylor]: Taking taylor expansion of +nan.0 in n 5.192 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)) in n 5.192 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.192 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.192 * [taylor]: Taking taylor expansion of 0.5 in n 5.192 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.192 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.192 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.192 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.192 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.192 * [taylor]: Taking taylor expansion of 1.0 in n 5.192 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.192 * [taylor]: Taking taylor expansion of 2.0 in n 5.194 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.194 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.194 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.194 * [taylor]: Taking taylor expansion of 1.0 in n 5.194 * [taylor]: Taking taylor expansion of (log PI) in n 5.194 * [taylor]: Taking taylor expansion of PI in n 5.208 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.25) in n 5.208 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ 1 (pow n 1.0))))) in n 5.208 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ 1 (pow n 1.0)))) in n 5.208 * [taylor]: Taking taylor expansion of 0.25 in n 5.208 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 5.208 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 5.208 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.208 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.208 * [taylor]: Taking taylor expansion of 1.0 in n 5.208 * [taylor]: Taking taylor expansion of (log n) in n 5.208 * [taylor]: Taking taylor expansion of n in n 5.247 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in n 5.247 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25))) in n 5.247 * [taylor]: Taking taylor expansion of +nan.0 in n 5.247 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)) in n 5.247 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.247 * [taylor]: Taking taylor expansion of 0.5 in n 5.247 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.247 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.247 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.247 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.247 * [taylor]: Taking taylor expansion of 1.0 in n 5.247 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.247 * [taylor]: Taking taylor expansion of 2.0 in n 5.249 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.249 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.249 * [taylor]: Taking taylor expansion of 1.0 in n 5.249 * [taylor]: Taking taylor expansion of (log PI) in n 5.249 * [taylor]: Taking taylor expansion of PI in n 5.269 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.25) in n 5.269 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ 1 (pow n 1.0))))) in n 5.269 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ 1 (pow n 1.0)))) in n 5.269 * [taylor]: Taking taylor expansion of 0.25 in n 5.269 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 5.269 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 5.269 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.269 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.269 * [taylor]: Taking taylor expansion of 1.0 in n 5.269 * [taylor]: Taking taylor expansion of (log n) in n 5.269 * [taylor]: Taking taylor expansion of n in n 5.333 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)))) in n 5.333 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25))) in n 5.333 * [taylor]: Taking taylor expansion of +nan.0 in n 5.333 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (/ 1 (pow n 1.0)) 0.25)) in n 5.333 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.333 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.333 * [taylor]: Taking taylor expansion of 0.5 in n 5.333 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.333 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.333 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.333 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.333 * [taylor]: Taking taylor expansion of 1.0 in n 5.333 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.333 * [taylor]: Taking taylor expansion of 2.0 in n 5.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.342 * [taylor]: Taking taylor expansion of 1.0 in n 5.342 * [taylor]: Taking taylor expansion of (log PI) in n 5.342 * [taylor]: Taking taylor expansion of PI in n 5.356 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow n 1.0)) 0.25) in n 5.356 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ 1 (pow n 1.0))))) in n 5.356 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ 1 (pow n 1.0)))) in n 5.356 * [taylor]: Taking taylor expansion of 0.25 in n 5.356 * [taylor]: Taking taylor expansion of (log (/ 1 (pow n 1.0))) in n 5.356 * [taylor]: Taking taylor expansion of (/ 1 (pow n 1.0)) in n 5.356 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.356 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.356 * [taylor]: Taking taylor expansion of 1.0 in n 5.356 * [taylor]: Taking taylor expansion of (log n) in n 5.356 * [taylor]: Taking taylor expansion of n in n 5.374 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5))) in (k n) around 0 5.374 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5))) in n 5.374 * [taylor]: Taking taylor expansion of 1.0 in n 5.374 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5)) in n 5.374 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.374 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.374 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.374 * [taylor]: Taking taylor expansion of -1 in n 5.374 * [taylor]: Taking taylor expansion of k in n 5.374 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5) in n 5.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))))) in n 5.374 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))))) in n 5.374 * [taylor]: Taking taylor expansion of 0.5 in n 5.374 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))) in n 5.374 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) in n 5.374 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.374 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.374 * [taylor]: Taking taylor expansion of 1.0 in n 5.374 * [taylor]: Taking taylor expansion of (log PI) in n 5.374 * [taylor]: Taking taylor expansion of PI in n 5.376 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)) in n 5.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.376 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.376 * [taylor]: Taking taylor expansion of 1.0 in n 5.376 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.376 * [taylor]: Taking taylor expansion of 2.0 in n 5.378 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.378 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.378 * [taylor]: Taking taylor expansion of 1.0 in n 5.378 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.378 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.378 * [taylor]: Taking taylor expansion of -1 in n 5.378 * [taylor]: Taking taylor expansion of n in n 5.401 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5))) in k 5.401 * [taylor]: Taking taylor expansion of 1.0 in k 5.401 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5)) in k 5.401 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.401 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.401 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.401 * [taylor]: Taking taylor expansion of -1 in k 5.401 * [taylor]: Taking taylor expansion of k in k 5.403 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5) in k 5.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))))) in k 5.403 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))))) in k 5.403 * [taylor]: Taking taylor expansion of 0.5 in k 5.403 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))) in k 5.403 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) in k 5.403 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.403 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.403 * [taylor]: Taking taylor expansion of 1.0 in k 5.403 * [taylor]: Taking taylor expansion of (log PI) in k 5.403 * [taylor]: Taking taylor expansion of PI in k 5.405 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)) in k 5.405 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.405 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.405 * [taylor]: Taking taylor expansion of 1.0 in k 5.405 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.405 * [taylor]: Taking taylor expansion of 2.0 in k 5.406 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 5.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 5.407 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 5.407 * [taylor]: Taking taylor expansion of 1.0 in k 5.407 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 5.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 5.407 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.407 * [taylor]: Taking taylor expansion of -1 in k 5.407 * [taylor]: Taking taylor expansion of n in k 5.411 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5))) in k 5.411 * [taylor]: Taking taylor expansion of 1.0 in k 5.411 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5)) in k 5.411 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.411 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.411 * [taylor]: Taking taylor expansion of -1 in k 5.411 * [taylor]: Taking taylor expansion of k in k 5.412 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5) in k 5.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))))) in k 5.412 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))))) in k 5.412 * [taylor]: Taking taylor expansion of 0.5 in k 5.412 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))) in k 5.412 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) in k 5.412 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.412 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.412 * [taylor]: Taking taylor expansion of 1.0 in k 5.412 * [taylor]: Taking taylor expansion of (log PI) in k 5.412 * [taylor]: Taking taylor expansion of PI in k 5.414 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)) in k 5.414 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.414 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.414 * [taylor]: Taking taylor expansion of 1.0 in k 5.414 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.414 * [taylor]: Taking taylor expansion of 2.0 in k 5.416 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 5.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 5.416 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 5.416 * [taylor]: Taking taylor expansion of 1.0 in k 5.416 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 5.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 5.416 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.416 * [taylor]: Taking taylor expansion of -1 in k 5.416 * [taylor]: Taking taylor expansion of n in k 5.422 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5)) in n 5.422 * [taylor]: Taking taylor expansion of +nan.0 in n 5.422 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5) in n 5.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0)))))) in n 5.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0))))) in n 5.422 * [taylor]: Taking taylor expansion of 0.5 in n 5.422 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0)))) in n 5.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0))) in n 5.422 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.422 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.422 * [taylor]: Taking taylor expansion of 1.0 in n 5.422 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.422 * [taylor]: Taking taylor expansion of 2.0 in n 5.430 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow (sqrt (/ -1 n)) 1.0)) in n 5.430 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.431 * [taylor]: Taking taylor expansion of 1.0 in n 5.431 * [taylor]: Taking taylor expansion of (log PI) in n 5.431 * [taylor]: Taking taylor expansion of PI in n 5.432 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.432 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.432 * [taylor]: Taking taylor expansion of 1.0 in n 5.432 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.433 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.433 * [taylor]: Taking taylor expansion of -1 in n 5.433 * [taylor]: Taking taylor expansion of n in n 5.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5))) in n 5.483 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5)) in n 5.483 * [taylor]: Taking taylor expansion of +nan.0 in n 5.483 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) 0.5) in n 5.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))))) in n 5.483 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))))) in n 5.483 * [taylor]: Taking taylor expansion of 0.5 in n 5.483 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)))) in n 5.483 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0))) in n 5.483 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.483 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.483 * [taylor]: Taking taylor expansion of 1.0 in n 5.483 * [taylor]: Taking taylor expansion of (log PI) in n 5.483 * [taylor]: Taking taylor expansion of PI in n 5.485 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow (sqrt (/ -1 n)) 1.0)) in n 5.485 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.485 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.485 * [taylor]: Taking taylor expansion of 1.0 in n 5.485 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.485 * [taylor]: Taking taylor expansion of 2.0 in n 5.487 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.487 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.487 * [taylor]: Taking taylor expansion of 1.0 in n 5.487 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.487 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.487 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.487 * [taylor]: Taking taylor expansion of -1 in n 5.487 * [taylor]: Taking taylor expansion of n in n 5.625 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.627 * [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))) in (k n) around 0 5.627 * [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))) in n 5.627 * [taylor]: Taking taylor expansion of 1.0 in n 5.627 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 5.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.627 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.627 * [taylor]: Taking taylor expansion of k in n 5.627 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.627 * [taylor]: Taking taylor expansion of 0.5 in n 5.627 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.627 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.627 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.627 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.627 * [taylor]: Taking taylor expansion of 1.0 in n 5.627 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.627 * [taylor]: Taking taylor expansion of 2.0 in n 5.629 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.629 * [taylor]: Taking taylor expansion of 1.0 in n 5.629 * [taylor]: Taking taylor expansion of (log n) in n 5.629 * [taylor]: Taking taylor expansion of n in n 5.630 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.630 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.630 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.630 * [taylor]: Taking taylor expansion of 1.0 in n 5.630 * [taylor]: Taking taylor expansion of (log PI) in n 5.630 * [taylor]: Taking taylor expansion of PI in n 5.635 * [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))) in k 5.635 * [taylor]: Taking taylor expansion of 1.0 in k 5.635 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 5.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.635 * [taylor]: Taking taylor expansion of k in k 5.637 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 5.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 5.637 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 5.637 * [taylor]: Taking taylor expansion of 0.5 in k 5.637 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 5.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 5.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.637 * [taylor]: Taking taylor expansion of 1.0 in k 5.637 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.637 * [taylor]: Taking taylor expansion of 2.0 in k 5.639 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 5.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.639 * [taylor]: Taking taylor expansion of 1.0 in k 5.639 * [taylor]: Taking taylor expansion of (log n) in k 5.639 * [taylor]: Taking taylor expansion of n in k 5.639 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.639 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.639 * [taylor]: Taking taylor expansion of 1.0 in k 5.639 * [taylor]: Taking taylor expansion of (log PI) in k 5.639 * [taylor]: Taking taylor expansion of PI in k 5.644 * [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))) in k 5.644 * [taylor]: Taking taylor expansion of 1.0 in k 5.644 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 5.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.644 * [taylor]: Taking taylor expansion of k in k 5.646 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 5.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 5.646 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 5.646 * [taylor]: Taking taylor expansion of 0.5 in k 5.646 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 5.646 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 5.646 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.646 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.646 * [taylor]: Taking taylor expansion of 1.0 in k 5.646 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.646 * [taylor]: Taking taylor expansion of 2.0 in k 5.648 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 5.648 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.648 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.648 * [taylor]: Taking taylor expansion of 1.0 in k 5.648 * [taylor]: Taking taylor expansion of (log n) in k 5.648 * [taylor]: Taking taylor expansion of n in k 5.648 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.648 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.648 * [taylor]: Taking taylor expansion of 1.0 in k 5.648 * [taylor]: Taking taylor expansion of (log PI) in k 5.648 * [taylor]: Taking taylor expansion of PI in k 5.654 * [taylor]: Taking taylor expansion of 0 in n 5.667 * [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 5.667 * [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 5.667 * [taylor]: Taking taylor expansion of +nan.0 in n 5.667 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.667 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.667 * [taylor]: Taking taylor expansion of 0.5 in n 5.667 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.667 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.667 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.667 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.667 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.667 * [taylor]: Taking taylor expansion of 1.0 in n 5.667 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.667 * [taylor]: Taking taylor expansion of 2.0 in n 5.669 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.669 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.669 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.669 * [taylor]: Taking taylor expansion of 1.0 in n 5.669 * [taylor]: Taking taylor expansion of (log n) in n 5.669 * [taylor]: Taking taylor expansion of n in n 5.670 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.670 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.670 * [taylor]: Taking taylor expansion of 1.0 in n 5.670 * [taylor]: Taking taylor expansion of (log PI) in n 5.670 * [taylor]: Taking taylor expansion of PI in n 5.705 * [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 5.705 * [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 5.705 * [taylor]: Taking taylor expansion of +nan.0 in n 5.706 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.706 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.706 * [taylor]: Taking taylor expansion of 0.5 in n 5.706 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.706 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.706 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.706 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.706 * [taylor]: Taking taylor expansion of 1.0 in n 5.706 * [taylor]: Taking taylor expansion of (log PI) in n 5.706 * [taylor]: Taking taylor expansion of PI in n 5.708 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.708 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.708 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.708 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.708 * [taylor]: Taking taylor expansion of 1.0 in n 5.708 * [taylor]: Taking taylor expansion of (log n) in n 5.708 * [taylor]: Taking taylor expansion of n in n 5.708 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.708 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.708 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.708 * [taylor]: Taking taylor expansion of 1.0 in n 5.708 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.708 * [taylor]: Taking taylor expansion of 2.0 in n 5.757 * [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 5.757 * [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 5.757 * [taylor]: Taking taylor expansion of +nan.0 in n 5.757 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.757 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.757 * [taylor]: Taking taylor expansion of 0.5 in n 5.757 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.757 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.757 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.757 * [taylor]: Taking taylor expansion of 1.0 in n 5.757 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.757 * [taylor]: Taking taylor expansion of 2.0 in n 5.759 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.759 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.759 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.759 * [taylor]: Taking taylor expansion of 1.0 in n 5.759 * [taylor]: Taking taylor expansion of (log n) in n 5.759 * [taylor]: Taking taylor expansion of n in n 5.760 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.760 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.760 * [taylor]: Taking taylor expansion of 1.0 in n 5.760 * [taylor]: Taking taylor expansion of (log PI) in n 5.760 * [taylor]: Taking taylor expansion of PI in n 5.771 * [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))) in (k n) around 0 5.771 * [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))) in n 5.771 * [taylor]: Taking taylor expansion of 1.0 in n 5.771 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.771 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.771 * [taylor]: Taking taylor expansion of k in n 5.772 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.772 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.772 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.772 * [taylor]: Taking taylor expansion of 0.5 in n 5.772 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.772 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.772 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.772 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.772 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.772 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.772 * [taylor]: Taking taylor expansion of 1.0 in n 5.772 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.772 * [taylor]: Taking taylor expansion of 2.0 in n 5.780 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.780 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.780 * [taylor]: Taking taylor expansion of 1.0 in n 5.780 * [taylor]: Taking taylor expansion of (log PI) in n 5.780 * [taylor]: Taking taylor expansion of PI in n 5.782 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.782 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.782 * [taylor]: Taking taylor expansion of 1.0 in n 5.782 * [taylor]: Taking taylor expansion of (log n) in n 5.782 * [taylor]: Taking taylor expansion of n in n 5.789 * [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))) in k 5.789 * [taylor]: Taking taylor expansion of 1.0 in k 5.789 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.789 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.789 * [taylor]: Taking taylor expansion of k in k 5.790 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.790 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.790 * [taylor]: Taking taylor expansion of 0.5 in k 5.790 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.790 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.790 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.790 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.790 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.791 * [taylor]: Taking taylor expansion of 1.0 in k 5.791 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.791 * [taylor]: Taking taylor expansion of 2.0 in k 5.792 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.792 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.792 * [taylor]: Taking taylor expansion of 1.0 in k 5.792 * [taylor]: Taking taylor expansion of (log PI) in k 5.792 * [taylor]: Taking taylor expansion of PI in k 5.794 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.794 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.794 * [taylor]: Taking taylor expansion of 1.0 in k 5.794 * [taylor]: Taking taylor expansion of (log n) in k 5.794 * [taylor]: Taking taylor expansion of n in k 5.801 * [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))) in k 5.801 * [taylor]: Taking taylor expansion of 1.0 in k 5.801 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.801 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.801 * [taylor]: Taking taylor expansion of k in k 5.802 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.802 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.802 * [taylor]: Taking taylor expansion of 0.5 in k 5.802 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.802 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.802 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.802 * [taylor]: Taking taylor expansion of 1.0 in k 5.802 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.802 * [taylor]: Taking taylor expansion of 2.0 in k 5.804 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.804 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.804 * [taylor]: Taking taylor expansion of 1.0 in k 5.804 * [taylor]: Taking taylor expansion of (log PI) in k 5.804 * [taylor]: Taking taylor expansion of PI in k 5.806 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.806 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.806 * [taylor]: Taking taylor expansion of 1.0 in k 5.806 * [taylor]: Taking taylor expansion of (log n) in k 5.806 * [taylor]: Taking taylor expansion of n in k 5.814 * [taylor]: Taking taylor expansion of 0 in n 5.829 * [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 5.829 * [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 5.829 * [taylor]: Taking taylor expansion of +nan.0 in n 5.829 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.829 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.830 * [taylor]: Taking taylor expansion of 0.5 in n 5.830 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.830 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.830 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.830 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.830 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.830 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.830 * [taylor]: Taking taylor expansion of 1.0 in n 5.830 * [taylor]: Taking taylor expansion of (log PI) in n 5.830 * [taylor]: Taking taylor expansion of PI in n 5.831 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.832 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.832 * [taylor]: Taking taylor expansion of 1.0 in n 5.832 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.832 * [taylor]: Taking taylor expansion of 2.0 in n 5.833 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.833 * [taylor]: Taking taylor expansion of 1.0 in n 5.833 * [taylor]: Taking taylor expansion of (log n) in n 5.833 * [taylor]: Taking taylor expansion of n in n 5.875 * [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 5.875 * [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 5.875 * [taylor]: Taking taylor expansion of +nan.0 in n 5.875 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.875 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.875 * [taylor]: Taking taylor expansion of 0.5 in n 5.875 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.875 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.875 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.875 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.875 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.875 * [taylor]: Taking taylor expansion of 1.0 in n 5.875 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.875 * [taylor]: Taking taylor expansion of 2.0 in n 5.877 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.877 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.877 * [taylor]: Taking taylor expansion of 1.0 in n 5.877 * [taylor]: Taking taylor expansion of (log PI) in n 5.877 * [taylor]: Taking taylor expansion of PI in n 5.879 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.879 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.879 * [taylor]: Taking taylor expansion of 1.0 in n 5.879 * [taylor]: Taking taylor expansion of (log n) in n 5.879 * [taylor]: Taking taylor expansion of n in n 5.937 * [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 5.937 * [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 5.937 * [taylor]: Taking taylor expansion of +nan.0 in n 5.937 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.937 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.937 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.937 * [taylor]: Taking taylor expansion of 0.5 in n 5.937 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.937 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.937 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.937 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.937 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.937 * [taylor]: Taking taylor expansion of 1.0 in n 5.937 * [taylor]: Taking taylor expansion of (log PI) in n 5.937 * [taylor]: Taking taylor expansion of PI in n 5.939 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.939 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.939 * [taylor]: Taking taylor expansion of 1.0 in n 5.939 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.939 * [taylor]: Taking taylor expansion of 2.0 in n 5.941 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.941 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.941 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.941 * [taylor]: Taking taylor expansion of 1.0 in n 5.941 * [taylor]: Taking taylor expansion of (log n) in n 5.941 * [taylor]: Taking taylor expansion of n in n 5.964 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in (k n) around 0 5.964 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 5.964 * [taylor]: Taking taylor expansion of 1.0 in n 5.964 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 5.964 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.964 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.964 * [taylor]: Taking taylor expansion of 0.5 in n 5.964 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.964 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.964 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.964 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.964 * [taylor]: Taking taylor expansion of 1.0 in n 5.964 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.964 * [taylor]: Taking taylor expansion of 2.0 in n 5.966 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.966 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.966 * [taylor]: Taking taylor expansion of 1.0 in n 5.966 * [taylor]: Taking taylor expansion of (log PI) in n 5.966 * [taylor]: Taking taylor expansion of PI in n 5.979 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.980 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.980 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.980 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.980 * [taylor]: Taking taylor expansion of -1 in n 5.980 * [taylor]: Taking taylor expansion of k in n 5.980 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.980 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.980 * [taylor]: Taking taylor expansion of 1.0 in n 5.980 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.980 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.980 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.980 * [taylor]: Taking taylor expansion of 1.0 in n 5.980 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.980 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.980 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.980 * [taylor]: Taking taylor expansion of -1 in n 5.980 * [taylor]: Taking taylor expansion of n in n 5.986 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 5.987 * [taylor]: Taking taylor expansion of 1.0 in k 5.987 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 5.987 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 5.987 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 5.987 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 5.987 * [taylor]: Taking taylor expansion of 0.5 in k 5.987 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 5.987 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.987 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.987 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.987 * [taylor]: Taking taylor expansion of 1.0 in k 5.987 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.987 * [taylor]: Taking taylor expansion of 2.0 in k 5.988 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.989 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.989 * [taylor]: Taking taylor expansion of 1.0 in k 5.989 * [taylor]: Taking taylor expansion of (log PI) in k 5.989 * [taylor]: Taking taylor expansion of PI in k 6.002 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 6.002 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.002 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.002 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.002 * [taylor]: Taking taylor expansion of -1 in k 6.002 * [taylor]: Taking taylor expansion of k in k 6.004 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 6.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 6.004 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 6.004 * [taylor]: Taking taylor expansion of 1.0 in k 6.004 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 6.004 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 6.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 6.004 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 6.004 * [taylor]: Taking taylor expansion of 1.0 in k 6.004 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 6.004 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 6.004 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.004 * [taylor]: Taking taylor expansion of -1 in k 6.004 * [taylor]: Taking taylor expansion of n in k 6.004 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 6.004 * [taylor]: Taking taylor expansion of 1.0 in k 6.004 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 6.004 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 6.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 6.005 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 6.005 * [taylor]: Taking taylor expansion of 0.5 in k 6.005 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 6.005 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 6.005 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.005 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.005 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.005 * [taylor]: Taking taylor expansion of 1.0 in k 6.005 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.005 * [taylor]: Taking taylor expansion of 2.0 in k 6.006 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.006 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.006 * [taylor]: Taking taylor expansion of 1.0 in k 6.006 * [taylor]: Taking taylor expansion of (log PI) in k 6.007 * [taylor]: Taking taylor expansion of PI in k 6.020 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 6.020 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 6.020 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.020 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.020 * [taylor]: Taking taylor expansion of -1 in k 6.020 * [taylor]: Taking taylor expansion of k in k 6.022 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 6.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 6.022 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 6.022 * [taylor]: Taking taylor expansion of 1.0 in k 6.022 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 6.022 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 6.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 6.022 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 6.022 * [taylor]: Taking taylor expansion of 1.0 in k 6.022 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 6.022 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 6.022 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.022 * [taylor]: Taking taylor expansion of -1 in k 6.022 * [taylor]: Taking taylor expansion of n in k 6.029 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 6.029 * [taylor]: Taking taylor expansion of +nan.0 in n 6.029 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 6.029 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 6.029 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 6.029 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 6.029 * [taylor]: Taking taylor expansion of 0.5 in n 6.029 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 6.029 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 6.029 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.029 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.029 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.029 * [taylor]: Taking taylor expansion of 1.0 in n 6.029 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.029 * [taylor]: Taking taylor expansion of 2.0 in n 6.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.031 * [taylor]: Taking taylor expansion of 1.0 in n 6.031 * [taylor]: Taking taylor expansion of (log PI) in n 6.031 * [taylor]: Taking taylor expansion of PI in n 6.051 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 6.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 6.052 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 6.052 * [taylor]: Taking taylor expansion of 1.0 in n 6.052 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 6.052 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 6.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 6.052 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 6.052 * [taylor]: Taking taylor expansion of 1.0 in n 6.052 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 6.052 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.052 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.052 * [taylor]: Taking taylor expansion of -1 in n 6.052 * [taylor]: Taking taylor expansion of n in n 6.095 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n))))) in n 6.095 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n)))) in n 6.095 * [taylor]: Taking taylor expansion of +nan.0 in n 6.095 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n))) in n 6.095 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 6.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 6.095 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 6.095 * [taylor]: Taking taylor expansion of 0.5 in n 6.095 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 6.095 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 6.095 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.095 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.095 * [taylor]: Taking taylor expansion of 1.0 in n 6.095 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.095 * [taylor]: Taking taylor expansion of 2.0 in n 6.097 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.097 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.097 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.097 * [taylor]: Taking taylor expansion of 1.0 in n 6.097 * [taylor]: Taking taylor expansion of (log PI) in n 6.097 * [taylor]: Taking taylor expansion of PI in n 6.111 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.111 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.111 * [taylor]: Taking taylor expansion of -1 in n 6.111 * [taylor]: Taking taylor expansion of n in n 6.216 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 6.217 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 6.217 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.217 * [taylor]: Taking taylor expansion of 2.0 in n 6.217 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.217 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.217 * [taylor]: Taking taylor expansion of n in n 6.218 * [taylor]: Taking taylor expansion of PI in n 6.218 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.218 * [taylor]: Taking taylor expansion of 2.0 in n 6.218 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.218 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.218 * [taylor]: Taking taylor expansion of n in n 6.219 * [taylor]: Taking taylor expansion of PI in n 6.240 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 6.240 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.240 * [taylor]: Taking taylor expansion of 2.0 in n 6.240 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.240 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.240 * [taylor]: Taking taylor expansion of n in n 6.242 * [taylor]: Taking taylor expansion of PI in n 6.242 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.242 * [taylor]: Taking taylor expansion of 2.0 in n 6.242 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.242 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.242 * [taylor]: Taking taylor expansion of n in n 6.243 * [taylor]: Taking taylor expansion of PI in n 6.264 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 6.264 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.264 * [taylor]: Taking taylor expansion of 2.0 in n 6.265 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.265 * [taylor]: Taking taylor expansion of PI in n 6.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.265 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.265 * [taylor]: Taking taylor expansion of -1 in n 6.265 * [taylor]: Taking taylor expansion of n in n 6.266 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.266 * [taylor]: Taking taylor expansion of 2.0 in n 6.266 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.266 * [taylor]: Taking taylor expansion of PI in n 6.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.266 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.266 * [taylor]: Taking taylor expansion of -1 in n 6.266 * [taylor]: Taking taylor expansion of n in n 6.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 6.287 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 6.287 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.287 * [taylor]: Taking taylor expansion of 2.0 in n 6.287 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.287 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.287 * [taylor]: Taking taylor expansion of n in n 6.288 * [taylor]: Taking taylor expansion of PI in n 6.289 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.289 * [taylor]: Taking taylor expansion of 2.0 in n 6.289 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.289 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.289 * [taylor]: Taking taylor expansion of n in n 6.290 * [taylor]: Taking taylor expansion of PI in n 6.317 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 6.317 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.317 * [taylor]: Taking taylor expansion of 2.0 in n 6.317 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.317 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.317 * [taylor]: Taking taylor expansion of n in n 6.319 * [taylor]: Taking taylor expansion of PI in n 6.319 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.319 * [taylor]: Taking taylor expansion of 2.0 in n 6.319 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.319 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.319 * [taylor]: Taking taylor expansion of n in n 6.320 * [taylor]: Taking taylor expansion of PI in n 6.342 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 6.342 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.342 * [taylor]: Taking taylor expansion of 2.0 in n 6.342 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.342 * [taylor]: Taking taylor expansion of PI in n 6.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.342 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.342 * [taylor]: Taking taylor expansion of -1 in n 6.342 * [taylor]: Taking taylor expansion of n in n 6.344 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.344 * [taylor]: Taking taylor expansion of 2.0 in n 6.344 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.344 * [taylor]: Taking taylor expansion of PI in n 6.344 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.344 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.344 * [taylor]: Taking taylor expansion of -1 in n 6.344 * [taylor]: Taking taylor expansion of n in n 6.364 * * * [progress]: simplifying candidates 6.367 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt 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) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (expm1 (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (log1p (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 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(/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) 3) (pow (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) 3) (pow (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) 3) (* (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) 3) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (* (cbrt (sqrt n)) (cbrt (sqrt n))) (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (* (cbrt n) (cbrt n))) (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (sqrt n) (/ 1.0 2.0))) (cbrt (pow (sqrt n) (/ 1.0 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (* 1.0 (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt 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)) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt 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)) (fma (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (pow n 1.0) 0.25) (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) (- (* +nan.0 k) (* +nan.0 (pow k 2))))) (fma (- +nan.0) (/ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) k) (* (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow n 1.0) 0.25)) (- (* +nan.0 (/ 1 (pow k 3))) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- (* +nan.0 (pow (/ (pow PI 1.0) (* (pow 2.0 1.0) (pow +nan.0 1.0))) 0.5))) (/ 1 n) (* (pow (* (pow 2.0 1.0) (* (pow +nan.0 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) +nan.0))) (fma (- (* +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 n 1.0) (pow PI 1.0))) 0.5) (- +nan.0 (* +nan.0 (pow k 2))))) (fma (- +nan.0) (/ (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (/ 1 (pow k 3))) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- (* +nan.0 (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (/ 1 n) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- +nan.0 (* +nan.0 (/ 1 k))))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) 6.482 * * * [progress]: adding candidates to table 7.000 * [progress]: [Phase 3 of 3] Extracting. 7.000 * * [regime]: Finding splitpoints for: (# # # # # # # #) 7.003 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 7.003 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 7.043 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 7.059 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 7.098 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 7.138 * * * [regime]: Found split indices: #