12.347 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.084 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.087 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.090 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.091 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.093 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.095 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.101 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.124 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.125 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.141 * * * [progress]: generating rewritten candidates 0.141 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.150 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.157 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.159 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.187 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.187 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.187 * [taylor]: Taking taylor expansion of 0.5 in k 0.187 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.187 * [taylor]: Taking taylor expansion of 1.0 in k 0.187 * [taylor]: Taking taylor expansion of k in k 0.187 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.187 * [taylor]: Taking taylor expansion of 2.0 in k 0.187 * [taylor]: Taking taylor expansion of (* n PI) in k 0.187 * [taylor]: Taking taylor expansion of n in k 0.187 * [taylor]: Taking taylor expansion of PI in k 0.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.188 * [taylor]: Taking taylor expansion of 0.5 in n 0.189 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.189 * [taylor]: Taking taylor expansion of 1.0 in n 0.189 * [taylor]: Taking taylor expansion of k in n 0.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.189 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.189 * [taylor]: Taking taylor expansion of 2.0 in n 0.189 * [taylor]: Taking taylor expansion of (* n PI) in n 0.189 * [taylor]: Taking taylor expansion of n in n 0.189 * [taylor]: Taking taylor expansion of PI in n 0.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.194 * [taylor]: Taking taylor expansion of 0.5 in n 0.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.194 * [taylor]: Taking taylor expansion of 1.0 in n 0.194 * [taylor]: Taking taylor expansion of k in n 0.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.194 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.194 * [taylor]: Taking taylor expansion of 2.0 in n 0.194 * [taylor]: Taking taylor expansion of (* n PI) in n 0.194 * [taylor]: Taking taylor expansion of n in n 0.194 * [taylor]: Taking taylor expansion of PI in n 0.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.200 * [taylor]: Taking taylor expansion of 0.5 in k 0.200 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.200 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.200 * [taylor]: Taking taylor expansion of 1.0 in k 0.200 * [taylor]: Taking taylor expansion of k in k 0.200 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.200 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.200 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.200 * [taylor]: Taking taylor expansion of 2.0 in k 0.200 * [taylor]: Taking taylor expansion of PI in k 0.201 * [taylor]: Taking taylor expansion of (log n) in k 0.201 * [taylor]: Taking taylor expansion of n in k 0.211 * [taylor]: Taking taylor expansion of 0 in k 0.227 * [taylor]: Taking taylor expansion of 0 in k 0.246 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.246 * [taylor]: Taking taylor expansion of 0.5 in k 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.246 * [taylor]: Taking taylor expansion of 1.0 in k 0.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.246 * [taylor]: Taking taylor expansion of k in k 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.246 * [taylor]: Taking taylor expansion of 2.0 in k 0.246 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.246 * [taylor]: Taking taylor expansion of PI in k 0.246 * [taylor]: Taking taylor expansion of n in k 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.247 * [taylor]: Taking taylor expansion of 0.5 in n 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.251 * [taylor]: Taking taylor expansion of 0.5 in n 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.251 * [taylor]: Taking taylor expansion of 1.0 in n 0.251 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.252 * [taylor]: Taking taylor expansion of k in n 0.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.252 * [taylor]: Taking taylor expansion of 2.0 in n 0.252 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.252 * [taylor]: Taking taylor expansion of PI in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.255 * [taylor]: Taking taylor expansion of 0.5 in k 0.256 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.256 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.256 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.256 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.256 * [taylor]: Taking taylor expansion of 2.0 in k 0.256 * [taylor]: Taking taylor expansion of PI in k 0.257 * [taylor]: Taking taylor expansion of (log n) in k 0.257 * [taylor]: Taking taylor expansion of n in k 0.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.257 * [taylor]: Taking taylor expansion of 1.0 in k 0.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.257 * [taylor]: Taking taylor expansion of k in k 0.272 * [taylor]: Taking taylor expansion of 0 in k 0.280 * [taylor]: Taking taylor expansion of 0 in k 0.289 * [taylor]: Taking taylor expansion of 0 in k 0.290 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.290 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.291 * [taylor]: Taking taylor expansion of -2.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.291 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.292 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 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 0.296 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.296 * [taylor]: Taking taylor expansion of k in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.296 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.296 * [taylor]: Taking taylor expansion of -2.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.296 * [taylor]: Taking taylor expansion of PI in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.300 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.300 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.300 * [taylor]: Taking taylor expansion of -2.0 in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.301 * [taylor]: Taking taylor expansion of (log n) in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.310 * [taylor]: Taking taylor expansion of 0 in k 0.317 * [taylor]: Taking taylor expansion of 0 in k 0.327 * [taylor]: Taking taylor expansion of 0 in k 0.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.328 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.328 * [taylor]: Taking taylor expansion of 2.0 in n 0.328 * [taylor]: Taking taylor expansion of (* n PI) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of PI in n 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.328 * [taylor]: Taking taylor expansion of 2.0 in n 0.328 * [taylor]: Taking taylor expansion of (* n PI) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of PI in n 0.340 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.355 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.355 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.355 * [taylor]: Taking taylor expansion of -2.0 in n 0.355 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.355 * [taylor]: Taking taylor expansion of PI in n 0.355 * [taylor]: Taking taylor expansion of n in n 0.356 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.356 * [taylor]: Taking taylor expansion of -2.0 in n 0.356 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.356 * [taylor]: Taking taylor expansion of PI in n 0.356 * [taylor]: Taking taylor expansion of n in n 0.364 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.364 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.364 * [taylor]: Taking taylor expansion of 1.0 in k 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.366 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.366 * [taylor]: Taking taylor expansion of 1.0 in k 0.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.366 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.366 * [taylor]: Taking taylor expansion of k in k 0.377 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.377 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.377 * [taylor]: Taking taylor expansion of 1.0 in k 0.377 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.378 * [taylor]: Taking taylor expansion of 1.0 in k 0.378 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.378 * [taylor]: Taking taylor expansion of k in k 0.389 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.389 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.389 * [taylor]: Taking taylor expansion of 1.0 in k 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.389 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.389 * [taylor]: Taking taylor expansion of -1 in k 0.389 * [taylor]: Taking taylor expansion of k in k 0.391 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.391 * [taylor]: Taking taylor expansion of 1.0 in k 0.391 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.391 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.391 * [taylor]: Taking taylor expansion of -1 in k 0.391 * [taylor]: Taking taylor expansion of k in k 0.403 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.403 * [taylor]: Taking taylor expansion of k in n 0.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.404 * [taylor]: Taking taylor expansion of 0.5 in n 0.404 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.404 * [taylor]: Taking taylor expansion of 1.0 in n 0.404 * [taylor]: Taking taylor expansion of k in n 0.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.404 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.404 * [taylor]: Taking taylor expansion of 2.0 in n 0.404 * [taylor]: Taking taylor expansion of (* n PI) in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.404 * [taylor]: Taking taylor expansion of PI in n 0.409 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.410 * [taylor]: Taking taylor expansion of 0.5 in k 0.410 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.411 * [taylor]: Taking taylor expansion of 1.0 in k 0.411 * [taylor]: Taking taylor expansion of k in k 0.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.411 * [taylor]: Taking taylor expansion of 2.0 in k 0.411 * [taylor]: Taking taylor expansion of (* n PI) in k 0.411 * [taylor]: Taking taylor expansion of n in k 0.411 * [taylor]: Taking taylor expansion of PI in k 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.412 * [taylor]: Taking taylor expansion of 1.0 in k 0.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.412 * [taylor]: Taking taylor expansion of k in k 0.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.413 * [taylor]: Taking taylor expansion of 0.5 in k 0.413 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.413 * [taylor]: Taking taylor expansion of 2.0 in k 0.413 * [taylor]: Taking taylor expansion of (* n PI) in k 0.413 * [taylor]: Taking taylor expansion of n in k 0.413 * [taylor]: Taking taylor expansion of PI in k 0.415 * [taylor]: Taking taylor expansion of 0 in n 0.420 * [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 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of +nan.0 in n 0.420 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.420 * [taylor]: Taking taylor expansion of 0.5 in n 0.420 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.420 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.420 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.420 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.420 * [taylor]: Taking taylor expansion of 1.0 in n 0.420 * [taylor]: Taking taylor expansion of (log PI) in n 0.420 * [taylor]: Taking taylor expansion of PI in n 0.422 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.422 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.422 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.422 * [taylor]: Taking taylor expansion of 1.0 in n 0.422 * [taylor]: Taking taylor expansion of (log n) in n 0.422 * [taylor]: Taking taylor expansion of n 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 0.448 * [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 0.448 * [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 0.448 * [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 0.448 * [taylor]: Taking taylor expansion of +nan.0 in n 0.448 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.448 * [taylor]: Taking taylor expansion of 0.5 in n 0.448 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.448 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.448 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log PI) in n 0.448 * [taylor]: Taking taylor expansion of PI in n 0.450 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.450 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log n) in n 0.450 * [taylor]: Taking taylor expansion of n in n 0.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.451 * [taylor]: Taking taylor expansion of 2.0 in n 0.456 * [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 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of +nan.0 in n 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.456 * [taylor]: Taking taylor expansion of 0.5 in n 0.456 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.456 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.456 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.456 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.456 * [taylor]: Taking taylor expansion of 1.0 in n 0.456 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.456 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.458 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.458 * [taylor]: Taking taylor expansion of 1.0 in n 0.458 * [taylor]: Taking taylor expansion of (log PI) in n 0.458 * [taylor]: Taking taylor expansion of PI in n 0.460 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (log n) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.464 * [taylor]: Taking taylor expansion of 2.0 in n 0.464 * [taylor]: Taking taylor expansion of (* n PI) in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of PI in n 0.515 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.515 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.515 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.515 * [taylor]: Taking taylor expansion of +nan.0 in n 0.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.515 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.517 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log n) in n 0.517 * [taylor]: Taking taylor expansion of n in n 0.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (log PI) in n 0.518 * [taylor]: Taking taylor expansion of PI in n 0.523 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.523 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of +nan.0 in n 0.524 * [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 0.524 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.524 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.524 * [taylor]: Taking taylor expansion of 0.5 in n 0.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.524 * [taylor]: Taking taylor expansion of 2.0 in n 0.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log PI) in n 0.531 * [taylor]: Taking taylor expansion of PI in n 0.533 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log n) in n 0.533 * [taylor]: Taking taylor expansion of n in n 0.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.538 * [taylor]: Taking taylor expansion of 2.0 in n 0.538 * [taylor]: Taking taylor expansion of (* n PI) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.541 * [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 0.541 * [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 0.541 * [taylor]: Taking taylor expansion of +nan.0 in n 0.541 * [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 0.541 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.541 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.541 * [taylor]: Taking taylor expansion of 0.5 in n 0.541 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.541 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.541 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.541 * [taylor]: Taking taylor expansion of 2.0 in n 0.543 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.543 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (log PI) in n 0.543 * [taylor]: Taking taylor expansion of PI in n 0.545 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log n) in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.549 * [taylor]: Taking taylor expansion of 2.0 in n 0.549 * [taylor]: Taking taylor expansion of (* n PI) in n 0.549 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of PI in n 0.628 * [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 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.628 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.632 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.632 * [taylor]: Taking taylor expansion of 1.0 in k 0.632 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.632 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.632 * [taylor]: Taking taylor expansion of k in k 0.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.634 * [taylor]: Taking taylor expansion of 0.5 in k 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.634 * [taylor]: Taking taylor expansion of 1.0 in k 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.634 * [taylor]: Taking taylor expansion of k in k 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.634 * [taylor]: Taking taylor expansion of 2.0 in k 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.634 * [taylor]: Taking taylor expansion of PI in k 0.634 * [taylor]: Taking taylor expansion of n in k 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.635 * [taylor]: Taking taylor expansion of 1.0 in k 0.635 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.635 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.637 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.637 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.637 * [taylor]: Taking taylor expansion of 0.5 in k 0.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.637 * [taylor]: Taking taylor expansion of 1.0 in k 0.637 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.637 * [taylor]: Taking taylor expansion of k in k 0.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.637 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.637 * [taylor]: Taking taylor expansion of 2.0 in k 0.637 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.637 * [taylor]: Taking taylor expansion of PI in k 0.637 * [taylor]: Taking taylor expansion of n in k 0.638 * [taylor]: Taking taylor expansion of 0 in n 0.639 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.639 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.639 * [taylor]: Taking taylor expansion of +nan.0 in n 0.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.639 * [taylor]: Taking taylor expansion of 0.5 in n 0.639 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.639 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.639 * [taylor]: Taking taylor expansion of 2.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.641 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.641 * [taylor]: Taking taylor expansion of k in n 0.649 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.649 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.649 * [taylor]: Taking taylor expansion of +nan.0 in n 0.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.650 * [taylor]: Taking taylor expansion of 0.5 in n 0.650 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.650 * [taylor]: Taking taylor expansion of 2.0 in n 0.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.650 * [taylor]: Taking taylor expansion of PI in n 0.650 * [taylor]: Taking taylor expansion of n in n 0.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.651 * [taylor]: Taking taylor expansion of 1.0 in n 0.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.651 * [taylor]: Taking taylor expansion of k in n 0.668 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.668 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.668 * [taylor]: Taking taylor expansion of +nan.0 in n 0.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.668 * [taylor]: Taking taylor expansion of 0.5 in n 0.668 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.668 * [taylor]: Taking taylor expansion of 2.0 in n 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.668 * [taylor]: Taking taylor expansion of PI in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.669 * [taylor]: Taking taylor expansion of 1.0 in n 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.669 * [taylor]: Taking taylor expansion of k in n 0.678 * [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 0.678 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.678 * [taylor]: Taking taylor expansion of 1.0 in n 0.678 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.678 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.678 * [taylor]: Taking taylor expansion of 0.5 in n 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.678 * [taylor]: Taking taylor expansion of k in n 0.678 * [taylor]: Taking taylor expansion of 1.0 in n 0.678 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.678 * [taylor]: Taking taylor expansion of -2.0 in n 0.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.678 * [taylor]: Taking taylor expansion of PI in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.682 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.682 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.682 * [taylor]: Taking taylor expansion of -1 in n 0.682 * [taylor]: Taking taylor expansion of k in n 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.683 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.683 * [taylor]: Taking taylor expansion of 0.5 in k 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.683 * [taylor]: Taking taylor expansion of k in k 0.683 * [taylor]: Taking taylor expansion of 1.0 in k 0.683 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.683 * [taylor]: Taking taylor expansion of -2.0 in k 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.683 * [taylor]: Taking taylor expansion of PI in k 0.684 * [taylor]: Taking taylor expansion of n in k 0.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.684 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.684 * [taylor]: Taking taylor expansion of -1 in k 0.684 * [taylor]: Taking taylor expansion of k in k 0.686 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.686 * [taylor]: Taking taylor expansion of 1.0 in k 0.686 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.686 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.686 * [taylor]: Taking taylor expansion of 0.5 in k 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.686 * [taylor]: Taking taylor expansion of k in k 0.686 * [taylor]: Taking taylor expansion of 1.0 in k 0.687 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.687 * [taylor]: Taking taylor expansion of -2.0 in k 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.687 * [taylor]: Taking taylor expansion of PI in k 0.687 * [taylor]: Taking taylor expansion of n in k 0.687 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.688 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.688 * [taylor]: Taking taylor expansion of -1 in k 0.688 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.689 * [taylor]: Taking taylor expansion of +nan.0 in n 0.689 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.689 * [taylor]: Taking taylor expansion of 0.5 in n 0.689 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.689 * [taylor]: Taking taylor expansion of k in n 0.689 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.689 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.689 * [taylor]: Taking taylor expansion of -2.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.689 * [taylor]: Taking taylor expansion of PI in n 0.689 * [taylor]: Taking taylor expansion of n in n 0.699 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.699 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.699 * [taylor]: Taking taylor expansion of +nan.0 in n 0.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.699 * [taylor]: Taking taylor expansion of 0.5 in n 0.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.699 * [taylor]: Taking taylor expansion of k in n 0.699 * [taylor]: Taking taylor expansion of 1.0 in n 0.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.699 * [taylor]: Taking taylor expansion of -2.0 in n 0.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.699 * [taylor]: Taking taylor expansion of PI in n 0.699 * [taylor]: Taking taylor expansion of n in n 0.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.722 * [taylor]: Taking taylor expansion of k in n 0.722 * [taylor]: Taking taylor expansion of 1.0 in n 0.722 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.722 * [taylor]: Taking taylor expansion of -2.0 in n 0.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.722 * [taylor]: Taking taylor expansion of PI in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.732 * * * [progress]: simplifying candidates 0.734 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.831 * * * [progress]: adding candidates to table 1.252 * * [progress]: iteration 2 / 4 1.252 * * * [progress]: picking best candidate 1.292 * * * * [pick]: Picked # 1.293 * * * [progress]: localizing error 1.309 * * * [progress]: generating rewritten candidates 1.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.390 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.400 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.452 * * * [progress]: generating series expansions 1.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.454 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.454 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.455 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.455 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.455 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.457 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.457 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.457 * [taylor]: Taking taylor expansion of 1.0 in k 1.493 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 1.493 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.493 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.493 * [taylor]: Taking taylor expansion of k in k 1.494 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.494 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.494 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 1.495 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.495 * [taylor]: Taking taylor expansion of k in k 1.496 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.496 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.496 * [taylor]: Taking taylor expansion of 1.0 in k 1.523 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 1.523 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.523 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.523 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.523 * [taylor]: Taking taylor expansion of 1.0 in k 1.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.524 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.524 * [taylor]: Taking taylor expansion of -1 in k 1.524 * [taylor]: Taking taylor expansion of k in k 1.527 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 1.527 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 1.527 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.527 * [taylor]: Taking taylor expansion of 1.0 in k 1.528 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.528 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.528 * [taylor]: Taking taylor expansion of -1 in k 1.528 * [taylor]: Taking taylor expansion of k in k 1.555 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.555 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.556 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.556 * [taylor]: Taking taylor expansion of 0.5 in k 1.556 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.556 * [taylor]: Taking taylor expansion of 1.0 in k 1.556 * [taylor]: Taking taylor expansion of k in k 1.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.556 * [taylor]: Taking taylor expansion of 2.0 in k 1.556 * [taylor]: Taking taylor expansion of (* n PI) in k 1.556 * [taylor]: Taking taylor expansion of n in k 1.556 * [taylor]: Taking taylor expansion of PI in k 1.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.557 * [taylor]: Taking taylor expansion of 0.5 in n 1.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.557 * [taylor]: Taking taylor expansion of 1.0 in n 1.557 * [taylor]: Taking taylor expansion of k in n 1.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.557 * [taylor]: Taking taylor expansion of 2.0 in n 1.557 * [taylor]: Taking taylor expansion of (* n PI) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.557 * [taylor]: Taking taylor expansion of PI in n 1.562 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.563 * [taylor]: Taking taylor expansion of 0.5 in n 1.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.563 * [taylor]: Taking taylor expansion of 1.0 in n 1.563 * [taylor]: Taking taylor expansion of k in n 1.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.563 * [taylor]: Taking taylor expansion of 2.0 in n 1.563 * [taylor]: Taking taylor expansion of (* n PI) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.573 * [taylor]: Taking taylor expansion of 0.5 in k 1.573 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.573 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.573 * [taylor]: Taking taylor expansion of 1.0 in k 1.573 * [taylor]: Taking taylor expansion of k in k 1.573 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.574 * [taylor]: Taking taylor expansion of 2.0 in k 1.574 * [taylor]: Taking taylor expansion of PI in k 1.574 * [taylor]: Taking taylor expansion of (log n) in k 1.575 * [taylor]: Taking taylor expansion of n in k 1.584 * [taylor]: Taking taylor expansion of 0 in k 1.600 * [taylor]: Taking taylor expansion of 0 in k 1.619 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.619 * [taylor]: Taking taylor expansion of 0.5 in k 1.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.619 * [taylor]: Taking taylor expansion of 1.0 in k 1.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.620 * [taylor]: Taking taylor expansion of 2.0 in k 1.620 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.620 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.621 * [taylor]: Taking taylor expansion of 0.5 in n 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.621 * [taylor]: Taking taylor expansion of 1.0 in n 1.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.621 * [taylor]: Taking taylor expansion of k in n 1.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.621 * [taylor]: Taking taylor expansion of n in n 1.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.625 * [taylor]: Taking taylor expansion of 0.5 in n 1.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.625 * [taylor]: Taking taylor expansion of 1.0 in n 1.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.625 * [taylor]: Taking taylor expansion of k in n 1.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.625 * [taylor]: Taking taylor expansion of 2.0 in n 1.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.629 * [taylor]: Taking taylor expansion of 0.5 in k 1.629 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.629 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.629 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.629 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.629 * [taylor]: Taking taylor expansion of 2.0 in k 1.629 * [taylor]: Taking taylor expansion of PI in k 1.630 * [taylor]: Taking taylor expansion of (log n) in k 1.630 * [taylor]: Taking taylor expansion of n in k 1.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.630 * [taylor]: Taking taylor expansion of 1.0 in k 1.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.630 * [taylor]: Taking taylor expansion of k in k 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.647 * [taylor]: Taking taylor expansion of 0 in k 1.663 * [taylor]: Taking taylor expansion of 0 in k 1.664 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.665 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.665 * [taylor]: Taking taylor expansion of 0.5 in k 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.665 * [taylor]: Taking taylor expansion of k in k 1.665 * [taylor]: Taking taylor expansion of 1.0 in k 1.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.665 * [taylor]: Taking taylor expansion of -2.0 in k 1.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.665 * [taylor]: Taking taylor expansion of PI in k 1.665 * [taylor]: Taking taylor expansion of n in k 1.666 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.666 * [taylor]: Taking taylor expansion of 0.5 in n 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.666 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.666 * [taylor]: Taking taylor expansion of k in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.666 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.666 * [taylor]: Taking taylor expansion of -2.0 in n 1.666 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.670 * [taylor]: Taking taylor expansion of 0.5 in n 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.670 * [taylor]: Taking taylor expansion of k in n 1.670 * [taylor]: Taking taylor expansion of 1.0 in n 1.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.670 * [taylor]: Taking taylor expansion of -2.0 in n 1.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.670 * [taylor]: Taking taylor expansion of PI in n 1.670 * [taylor]: Taking taylor expansion of n in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.674 * [taylor]: Taking taylor expansion of 0.5 in k 1.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.674 * [taylor]: Taking taylor expansion of k in k 1.674 * [taylor]: Taking taylor expansion of 1.0 in k 1.674 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.674 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.674 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.674 * [taylor]: Taking taylor expansion of -2.0 in k 1.674 * [taylor]: Taking taylor expansion of PI in k 1.675 * [taylor]: Taking taylor expansion of (log n) in k 1.675 * [taylor]: Taking taylor expansion of n in k 1.684 * [taylor]: Taking taylor expansion of 0 in k 1.691 * [taylor]: Taking taylor expansion of 0 in k 1.700 * [taylor]: Taking taylor expansion of 0 in k 1.701 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.701 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.701 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.701 * [taylor]: Taking taylor expansion of 2.0 in n 1.701 * [taylor]: Taking taylor expansion of (* n PI) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [taylor]: Taking taylor expansion of PI in n 1.701 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.701 * [taylor]: Taking taylor expansion of 2.0 in n 1.701 * [taylor]: Taking taylor expansion of (* n PI) in n 1.701 * [taylor]: Taking taylor expansion of n in n 1.701 * [taylor]: Taking taylor expansion of PI in n 1.714 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of 2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of 2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.724 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.724 * [taylor]: Taking taylor expansion of -2.0 in n 1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.724 * [taylor]: Taking taylor expansion of -2.0 in n 1.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.733 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.733 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in (k) around 0 1.733 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 1.733 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1.733 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1.733 * [taylor]: Taking taylor expansion of 1/4 in k 1.733 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 1.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.733 * [taylor]: Taking taylor expansion of k in k 1.734 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.735 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (sqrt 1.0)) in k 1.735 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1.735 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1.735 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1.735 * [taylor]: Taking taylor expansion of 1/4 in k 1.735 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 1.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.735 * [taylor]: Taking taylor expansion of k in k 1.736 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.736 * [taylor]: Taking taylor expansion of 1.0 in k 1.801 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in (k) around 0 1.801 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 1.801 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 1.801 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1.801 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 1.801 * [taylor]: Taking taylor expansion of 1/4 in k 1.801 * [taylor]: Taking taylor expansion of (log k) in k 1.801 * [taylor]: Taking taylor expansion of k in k 1.802 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.802 * [taylor]: Taking taylor expansion of 1.0 in k 1.803 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (sqrt 1.0)) in k 1.803 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 1.803 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1.803 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 1.803 * [taylor]: Taking taylor expansion of 1/4 in k 1.803 * [taylor]: Taking taylor expansion of (log k) in k 1.803 * [taylor]: Taking taylor expansion of k in k 1.804 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.804 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in (k) around 0 1.866 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 1.866 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.866 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.866 * [taylor]: Taking taylor expansion of -1 in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.872 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.872 * [taylor]: Taking taylor expansion of 1.0 in k 1.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (sqrt 1.0)) in k 1.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 1.873 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 1.873 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.873 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.873 * [taylor]: Taking taylor expansion of -1 in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.879 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 1.879 * [taylor]: Taking taylor expansion of 1.0 in k 1.926 * * * [progress]: simplifying candidates 1.934 * [simplify]: Simplifying using # : (+ 1 1) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (+ 1 1) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k))))) (+ (- (log (sqrt 1.0)) (log (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (- (log (sqrt 1.0)) (log (sqrt (sqrt k))))) (+ (log (/ (sqrt 1.0) (sqrt (sqrt k)))) (log (/ (sqrt 1.0) (sqrt (sqrt k))))) (log (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (exp (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (* (* (sqrt 1.0) (sqrt 1.0)) (sqrt 1.0)) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))))) (cbrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (* (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (sqrt (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))))) (* (cbrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (cbrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt 1)))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1)) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt 1))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1) (/ (* (cbrt (sqrt 1.0)) (cbrt (sqrt 1.0))) 1)) (* (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (cbrt (sqrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (* (cbrt k) (cbrt k)))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt 1)))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1)) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt 1))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k)))) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt (sqrt k))))) (* (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1) (/ (sqrt (* (cbrt 1.0) (cbrt 1.0))) 1)) (* (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (cbrt 1.0)) (sqrt (sqrt k)))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k))))) (* (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))))) (* (/ (sqrt (sqrt 1.0)) (cbrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (cbrt 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(sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt (sqrt k)))) (sqrt (sqrt 1.0)) (/ (sqrt (sqrt 1.0)) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (fabs (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt 1.0) (/ (sqrt (sqrt k)) (cbrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (cbrt 1.0))) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) (sqrt (sqrt 1.0))) (/ (sqrt (sqrt k)) (sqrt 1.0)) (+ (* (- 1.0) +nan.0) (- (* (* +nan.0 k) 1.0) (* (* +nan.0 (pow k 2)) 1.0))) (+ (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3)))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (* +nan.0 (/ (pow (sqrt 1.0) 2) k)))) (+ (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2)))) (- (* +nan.0 (pow (sqrt 1.0) 2)) (* +nan.0 (/ (pow (sqrt 1.0) 2) k)))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (* (pow (/ 1 k) 1/4) (sqrt 1.0)) (+ (- (* (sqrt +nan.0) (sqrt 1.0)) (* +nan.0 (/ (sqrt 1.0) (* (sqrt +nan.0) k)))) (* +nan.0 (- (/ (sqrt 1.0) (* (sqrt +nan.0) (pow k 2))) (/ (sqrt 1.0) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 2.004 * * * [progress]: adding candidates to table 2.885 * * [progress]: iteration 3 / 4 2.885 * * * [progress]: picking best candidate 2.922 * * * * [pick]: Picked # 2.922 * * * [progress]: localizing error 2.938 * * * [progress]: generating rewritten candidates 2.938 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.951 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.961 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.967 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.978 * * * [progress]: generating series expansions 2.978 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.979 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.979 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.979 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.979 * [taylor]: Taking taylor expansion of 0.5 in k 2.979 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.979 * [taylor]: Taking taylor expansion of 1.0 in k 2.979 * [taylor]: Taking taylor expansion of k in k 2.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.979 * [taylor]: Taking taylor expansion of 2.0 in k 2.979 * [taylor]: Taking taylor expansion of (* n PI) in k 2.979 * [taylor]: Taking taylor expansion of n in k 2.979 * [taylor]: Taking taylor expansion of PI in k 2.980 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.980 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.980 * [taylor]: Taking taylor expansion of 0.5 in n 2.980 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.980 * [taylor]: Taking taylor expansion of 1.0 in n 2.980 * [taylor]: Taking taylor expansion of k in n 2.980 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.980 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.980 * [taylor]: Taking taylor expansion of 2.0 in n 2.980 * [taylor]: Taking taylor expansion of (* n PI) in n 2.980 * [taylor]: Taking taylor expansion of n in n 2.980 * [taylor]: Taking taylor expansion of PI in n 2.986 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.986 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.986 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.986 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.986 * [taylor]: Taking taylor expansion of 0.5 in n 2.986 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.986 * [taylor]: Taking taylor expansion of 1.0 in n 2.986 * [taylor]: Taking taylor expansion of k in n 2.986 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.986 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.986 * [taylor]: Taking taylor expansion of 2.0 in n 2.986 * [taylor]: Taking taylor expansion of (* n PI) in n 2.986 * [taylor]: Taking taylor expansion of n in n 2.986 * [taylor]: Taking taylor expansion of PI in n 2.992 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.992 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.992 * [taylor]: Taking taylor expansion of 0.5 in k 2.992 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.992 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.992 * [taylor]: Taking taylor expansion of 1.0 in k 2.992 * [taylor]: Taking taylor expansion of k in k 2.992 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.992 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.992 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.992 * [taylor]: Taking taylor expansion of 2.0 in k 2.992 * [taylor]: Taking taylor expansion of PI in k 2.993 * [taylor]: Taking taylor expansion of (log n) in k 2.993 * [taylor]: Taking taylor expansion of n in k 3.002 * [taylor]: Taking taylor expansion of 0 in k 3.018 * [taylor]: Taking taylor expansion of 0 in k 3.043 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.044 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.044 * [taylor]: Taking taylor expansion of 0.5 in k 3.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.044 * [taylor]: Taking taylor expansion of 1.0 in k 3.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.044 * [taylor]: Taking taylor expansion of k in k 3.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.044 * [taylor]: Taking taylor expansion of 2.0 in k 3.044 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.044 * [taylor]: Taking taylor expansion of PI in k 3.044 * [taylor]: Taking taylor expansion of n in k 3.045 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.045 * [taylor]: Taking taylor expansion of 0.5 in n 3.045 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.045 * [taylor]: Taking taylor expansion of 1.0 in n 3.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.045 * [taylor]: Taking taylor expansion of k in n 3.045 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.045 * [taylor]: Taking taylor expansion of 2.0 in n 3.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.045 * [taylor]: Taking taylor expansion of PI in n 3.045 * [taylor]: Taking taylor expansion of n in n 3.049 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.050 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.050 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.050 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.050 * [taylor]: Taking taylor expansion of 0.5 in n 3.050 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.050 * [taylor]: Taking taylor expansion of 1.0 in n 3.050 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.050 * [taylor]: Taking taylor expansion of k in n 3.050 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.050 * [taylor]: Taking taylor expansion of 2.0 in n 3.050 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.050 * [taylor]: Taking taylor expansion of PI in n 3.050 * [taylor]: Taking taylor expansion of n in n 3.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.054 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.054 * [taylor]: Taking taylor expansion of 0.5 in k 3.054 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.054 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.054 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.054 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.054 * [taylor]: Taking taylor expansion of 2.0 in k 3.054 * [taylor]: Taking taylor expansion of PI in k 3.055 * [taylor]: Taking taylor expansion of (log n) in k 3.055 * [taylor]: Taking taylor expansion of n in k 3.055 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.055 * [taylor]: Taking taylor expansion of 1.0 in k 3.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.055 * [taylor]: Taking taylor expansion of k in k 3.065 * [taylor]: Taking taylor expansion of 0 in k 3.072 * [taylor]: Taking taylor expansion of 0 in k 3.081 * [taylor]: Taking taylor expansion of 0 in k 3.082 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.082 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.082 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.082 * [taylor]: Taking taylor expansion of 0.5 in k 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.082 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.082 * [taylor]: Taking taylor expansion of k in k 3.082 * [taylor]: Taking taylor expansion of 1.0 in k 3.082 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.082 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.082 * [taylor]: Taking taylor expansion of -2.0 in k 3.083 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.083 * [taylor]: Taking taylor expansion of PI in k 3.083 * [taylor]: Taking taylor expansion of n in k 3.083 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.083 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.083 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.083 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.083 * [taylor]: Taking taylor expansion of 0.5 in n 3.083 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.083 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.084 * [taylor]: Taking taylor expansion of k in n 3.084 * [taylor]: Taking taylor expansion of 1.0 in n 3.084 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.084 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.084 * [taylor]: Taking taylor expansion of -2.0 in n 3.084 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.084 * [taylor]: Taking taylor expansion of PI in n 3.084 * [taylor]: Taking taylor expansion of n in n 3.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.087 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.087 * [taylor]: Taking taylor expansion of 0.5 in n 3.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.087 * [taylor]: Taking taylor expansion of k in n 3.087 * [taylor]: Taking taylor expansion of 1.0 in n 3.087 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.088 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.088 * [taylor]: Taking taylor expansion of -2.0 in n 3.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.088 * [taylor]: Taking taylor expansion of PI in n 3.088 * [taylor]: Taking taylor expansion of n in n 3.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.091 * [taylor]: Taking taylor expansion of 0.5 in k 3.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.091 * [taylor]: Taking taylor expansion of k in k 3.092 * [taylor]: Taking taylor expansion of 1.0 in k 3.092 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.092 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.092 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.092 * [taylor]: Taking taylor expansion of -2.0 in k 3.092 * [taylor]: Taking taylor expansion of PI in k 3.093 * [taylor]: Taking taylor expansion of (log n) in k 3.093 * [taylor]: Taking taylor expansion of n in k 3.102 * [taylor]: Taking taylor expansion of 0 in k 3.109 * [taylor]: Taking taylor expansion of 0 in k 3.118 * [taylor]: Taking taylor expansion of 0 in k 3.119 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.119 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.119 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.119 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.119 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.119 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.119 * [taylor]: Taking taylor expansion of 0.5 in k 3.119 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.119 * [taylor]: Taking taylor expansion of 1.0 in k 3.119 * [taylor]: Taking taylor expansion of k in k 3.119 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.119 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.119 * [taylor]: Taking taylor expansion of 2.0 in k 3.119 * [taylor]: Taking taylor expansion of (* n PI) in k 3.119 * [taylor]: Taking taylor expansion of n in k 3.119 * [taylor]: Taking taylor expansion of PI in k 3.120 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.120 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.120 * [taylor]: Taking taylor expansion of 0.5 in n 3.120 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.121 * [taylor]: Taking taylor expansion of 1.0 in n 3.121 * [taylor]: Taking taylor expansion of k in n 3.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.121 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.121 * [taylor]: Taking taylor expansion of 2.0 in n 3.121 * [taylor]: Taking taylor expansion of (* n PI) in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.132 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.132 * [taylor]: Taking taylor expansion of 0.5 in n 3.132 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.132 * [taylor]: Taking taylor expansion of 1.0 in n 3.132 * [taylor]: Taking taylor expansion of k in n 3.132 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.132 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.132 * [taylor]: Taking taylor expansion of 2.0 in n 3.132 * [taylor]: Taking taylor expansion of (* n PI) in n 3.132 * [taylor]: Taking taylor expansion of n in n 3.132 * [taylor]: Taking taylor expansion of PI in n 3.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.137 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.137 * [taylor]: Taking taylor expansion of 0.5 in k 3.137 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.137 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.137 * [taylor]: Taking taylor expansion of 1.0 in k 3.137 * [taylor]: Taking taylor expansion of k in k 3.137 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.138 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.138 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.138 * [taylor]: Taking taylor expansion of 2.0 in k 3.138 * [taylor]: Taking taylor expansion of PI in k 3.139 * [taylor]: Taking taylor expansion of (log n) in k 3.139 * [taylor]: Taking taylor expansion of n in k 3.148 * [taylor]: Taking taylor expansion of 0 in k 3.164 * [taylor]: Taking taylor expansion of 0 in k 3.183 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.183 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.183 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.183 * [taylor]: Taking taylor expansion of 0.5 in k 3.183 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.183 * [taylor]: Taking taylor expansion of 1.0 in k 3.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.183 * [taylor]: Taking taylor expansion of k in k 3.183 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.183 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.183 * [taylor]: Taking taylor expansion of 2.0 in k 3.183 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.183 * [taylor]: Taking taylor expansion of PI in k 3.183 * [taylor]: Taking taylor expansion of n in k 3.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.184 * [taylor]: Taking taylor expansion of 0.5 in n 3.185 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.185 * [taylor]: Taking taylor expansion of 1.0 in n 3.185 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.185 * [taylor]: Taking taylor expansion of k in n 3.185 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.185 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.185 * [taylor]: Taking taylor expansion of 2.0 in n 3.185 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.185 * [taylor]: Taking taylor expansion of PI in n 3.185 * [taylor]: Taking taylor expansion of n in n 3.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.188 * [taylor]: Taking taylor expansion of 0.5 in n 3.188 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.188 * [taylor]: Taking taylor expansion of 1.0 in n 3.189 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.189 * [taylor]: Taking taylor expansion of k in n 3.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.189 * [taylor]: Taking taylor expansion of 2.0 in n 3.189 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.189 * [taylor]: Taking taylor expansion of PI in n 3.189 * [taylor]: Taking taylor expansion of n in n 3.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.192 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.192 * [taylor]: Taking taylor expansion of 0.5 in k 3.192 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.192 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.192 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.192 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.193 * [taylor]: Taking taylor expansion of 2.0 in k 3.193 * [taylor]: Taking taylor expansion of PI in k 3.193 * [taylor]: Taking taylor expansion of (log n) in k 3.194 * [taylor]: Taking taylor expansion of n in k 3.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.194 * [taylor]: Taking taylor expansion of 1.0 in k 3.194 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.194 * [taylor]: Taking taylor expansion of k in k 3.203 * [taylor]: Taking taylor expansion of 0 in k 3.216 * [taylor]: Taking taylor expansion of 0 in k 3.225 * [taylor]: Taking taylor expansion of 0 in k 3.227 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.227 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.227 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.227 * [taylor]: Taking taylor expansion of 0.5 in k 3.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.227 * [taylor]: Taking taylor expansion of k in k 3.227 * [taylor]: Taking taylor expansion of 1.0 in k 3.227 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.227 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.227 * [taylor]: Taking taylor expansion of -2.0 in k 3.227 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.227 * [taylor]: Taking taylor expansion of PI in k 3.227 * [taylor]: Taking taylor expansion of n in k 3.228 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.228 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.228 * [taylor]: Taking taylor expansion of 0.5 in n 3.228 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.228 * [taylor]: Taking taylor expansion of k in n 3.228 * [taylor]: Taking taylor expansion of 1.0 in n 3.228 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.228 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.228 * [taylor]: Taking taylor expansion of -2.0 in n 3.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.228 * [taylor]: Taking taylor expansion of PI in n 3.228 * [taylor]: Taking taylor expansion of n in n 3.232 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.232 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.232 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.232 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.232 * [taylor]: Taking taylor expansion of 0.5 in n 3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.232 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.232 * [taylor]: Taking taylor expansion of k in n 3.232 * [taylor]: Taking taylor expansion of 1.0 in n 3.232 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.232 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.232 * [taylor]: Taking taylor expansion of -2.0 in n 3.232 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.232 * [taylor]: Taking taylor expansion of PI in n 3.232 * [taylor]: Taking taylor expansion of n in n 3.236 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.236 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.236 * [taylor]: Taking taylor expansion of 0.5 in k 3.236 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.236 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.236 * [taylor]: Taking taylor expansion of k in k 3.237 * [taylor]: Taking taylor expansion of 1.0 in k 3.237 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.237 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.237 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.237 * [taylor]: Taking taylor expansion of -2.0 in k 3.237 * [taylor]: Taking taylor expansion of PI in k 3.238 * [taylor]: Taking taylor expansion of (log n) in k 3.238 * [taylor]: Taking taylor expansion of n in k 3.247 * [taylor]: Taking taylor expansion of 0 in k 3.254 * [taylor]: Taking taylor expansion of 0 in k 3.263 * [taylor]: Taking taylor expansion of 0 in k 3.264 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.264 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.264 * [taylor]: Taking taylor expansion of 2.0 in n 3.264 * [taylor]: Taking taylor expansion of (* n PI) in n 3.264 * [taylor]: Taking taylor expansion of n in n 3.264 * [taylor]: Taking taylor expansion of PI in n 3.264 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.264 * [taylor]: Taking taylor expansion of 2.0 in n 3.264 * [taylor]: Taking taylor expansion of (* n PI) in n 3.264 * [taylor]: Taking taylor expansion of n in n 3.265 * [taylor]: Taking taylor expansion of PI in n 3.277 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.277 * [taylor]: Taking taylor expansion of 2.0 in n 3.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.277 * [taylor]: Taking taylor expansion of PI in n 3.277 * [taylor]: Taking taylor expansion of n in n 3.277 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.277 * [taylor]: Taking taylor expansion of 2.0 in n 3.277 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.277 * [taylor]: Taking taylor expansion of PI in n 3.277 * [taylor]: Taking taylor expansion of n in n 3.286 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.286 * [taylor]: Taking taylor expansion of -2.0 in n 3.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.286 * [taylor]: Taking taylor expansion of PI in n 3.286 * [taylor]: Taking taylor expansion of n in n 3.287 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.287 * [taylor]: Taking taylor expansion of -2.0 in n 3.287 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.287 * [taylor]: Taking taylor expansion of PI in n 3.287 * [taylor]: Taking taylor expansion of n in n 3.301 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 3.302 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.302 * [taylor]: Taking taylor expansion of 2.0 in n 3.302 * [taylor]: Taking taylor expansion of (* n PI) in n 3.302 * [taylor]: Taking taylor expansion of n in n 3.302 * [taylor]: Taking taylor expansion of PI in n 3.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.302 * [taylor]: Taking taylor expansion of 2.0 in n 3.302 * [taylor]: Taking taylor expansion of (* n PI) in n 3.302 * [taylor]: Taking taylor expansion of n in n 3.302 * [taylor]: Taking taylor expansion of PI in n 3.315 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.315 * [taylor]: Taking taylor expansion of 2.0 in n 3.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.315 * [taylor]: Taking taylor expansion of PI in n 3.315 * [taylor]: Taking taylor expansion of n in n 3.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.315 * [taylor]: Taking taylor expansion of 2.0 in n 3.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.315 * [taylor]: Taking taylor expansion of PI in n 3.315 * [taylor]: Taking taylor expansion of n in n 3.324 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.324 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.324 * [taylor]: Taking taylor expansion of -2.0 in n 3.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.325 * [taylor]: Taking taylor expansion of PI in n 3.325 * [taylor]: Taking taylor expansion of n in n 3.325 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.325 * [taylor]: Taking taylor expansion of -2.0 in n 3.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.325 * [taylor]: Taking taylor expansion of PI in n 3.325 * [taylor]: Taking taylor expansion of n in n 3.334 * * * [progress]: simplifying candidates 3.335 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.341 * * [simplify]: iteration 0 : 399 enodes (cost 798 ) 3.349 * * [simplify]: iteration 1 : 1625 enodes (cost 738 ) 3.381 * * [simplify]: iteration 2 : 5001 enodes (cost 694 ) 3.385 * [simplify]: Simplified to: (* (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)) (* (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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* (pow k 2) (+ (* (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) 0.25) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (log n)) 0.125))) (- (* (+ (* (* 0.125 (pow k 2)) (pow (log (* 2.0 PI)) 2)) 1) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* 0.5 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.386 * * * [progress]: adding candidates to table 3.775 * * [progress]: iteration 4 / 4 3.775 * * * [progress]: picking best candidate 3.815 * * * * [pick]: Picked # 3.815 * * * [progress]: localizing error 3.845 * * * [progress]: generating rewritten candidates 3.845 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2 1 1) 3.845 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1 1 2) 3.846 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1 1 1) 3.846 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 1) 3.854 * * * [progress]: generating series expansions 3.854 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2 1 1) 3.854 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.854 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.854 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.854 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.854 * [taylor]: Taking taylor expansion of 1/3 in k 3.854 * [taylor]: Taking taylor expansion of (log k) in k 3.854 * [taylor]: Taking taylor expansion of k in k 3.855 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.855 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.855 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.855 * [taylor]: Taking taylor expansion of 1/3 in k 3.855 * [taylor]: Taking taylor expansion of (log k) in k 3.855 * [taylor]: Taking taylor expansion of k in k 3.909 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.909 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.909 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.909 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.909 * [taylor]: Taking taylor expansion of 1/3 in k 3.909 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.909 * [taylor]: Taking taylor expansion of k in k 3.910 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.910 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.910 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.910 * [taylor]: Taking taylor expansion of 1/3 in k 3.910 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.910 * [taylor]: Taking taylor expansion of k in k 3.968 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 3.968 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.968 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.968 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.968 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.968 * [taylor]: Taking taylor expansion of 1/3 in k 3.968 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.968 * [taylor]: Taking taylor expansion of k in k 3.969 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.969 * [taylor]: Taking taylor expansion of -1 in k 3.970 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.970 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.970 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.970 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.970 * [taylor]: Taking taylor expansion of 1/3 in k 3.970 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.970 * [taylor]: Taking taylor expansion of k in k 3.971 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.971 * [taylor]: Taking taylor expansion of -1 in k 4.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1 1 2) 4.037 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 4.037 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.037 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.037 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.037 * [taylor]: Taking taylor expansion of 1/3 in k 4.037 * [taylor]: Taking taylor expansion of (log k) in k 4.037 * [taylor]: Taking taylor expansion of k in k 4.038 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.038 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.038 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.038 * [taylor]: Taking taylor expansion of 1/3 in k 4.038 * [taylor]: Taking taylor expansion of (log k) in k 4.038 * [taylor]: Taking taylor expansion of k in k 4.086 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 4.086 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.086 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.086 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.086 * [taylor]: Taking taylor expansion of 1/3 in k 4.086 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.086 * [taylor]: Taking taylor expansion of k in k 4.087 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.087 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.087 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.087 * [taylor]: Taking taylor expansion of 1/3 in k 4.087 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.087 * [taylor]: Taking taylor expansion of k in k 4.145 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 4.145 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.145 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.145 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.145 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.145 * [taylor]: Taking taylor expansion of 1/3 in k 4.145 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.145 * [taylor]: Taking taylor expansion of k in k 4.146 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.146 * [taylor]: Taking taylor expansion of -1 in k 4.147 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.147 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.147 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.147 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.147 * [taylor]: Taking taylor expansion of 1/3 in k 4.147 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.147 * [taylor]: Taking taylor expansion of k in k 4.148 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.148 * [taylor]: Taking taylor expansion of -1 in k 4.215 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1 1 1) 4.215 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 4.215 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.215 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.215 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.215 * [taylor]: Taking taylor expansion of 1/3 in k 4.215 * [taylor]: Taking taylor expansion of (log k) in k 4.215 * [taylor]: Taking taylor expansion of k in k 4.216 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 4.216 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 4.216 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 4.216 * [taylor]: Taking taylor expansion of 1/3 in k 4.216 * [taylor]: Taking taylor expansion of (log k) in k 4.216 * [taylor]: Taking taylor expansion of k in k 4.270 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 4.270 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.270 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.270 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.270 * [taylor]: Taking taylor expansion of 1/3 in k 4.270 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.270 * [taylor]: Taking taylor expansion of k in k 4.271 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.271 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.271 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.271 * [taylor]: Taking taylor expansion of 1/3 in k 4.271 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.271 * [taylor]: Taking taylor expansion of k in k 4.323 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 4.323 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.323 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.323 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.323 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.323 * [taylor]: Taking taylor expansion of 1/3 in k 4.323 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.323 * [taylor]: Taking taylor expansion of k in k 4.324 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.324 * [taylor]: Taking taylor expansion of -1 in k 4.324 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 4.325 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 4.325 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 4.325 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 4.325 * [taylor]: Taking taylor expansion of 1/3 in k 4.325 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.325 * [taylor]: Taking taylor expansion of k in k 4.326 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.326 * [taylor]: Taking taylor expansion of -1 in k 4.397 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 1) 4.397 * [approximate]: Taking taylor expansion of (pow (pow k 2) 1/3) in (k) around 0 4.397 * [taylor]: Taking taylor expansion of (pow (pow k 2) 1/3) in k 4.397 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow k 2)))) in k 4.397 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow k 2))) in k 4.397 * [taylor]: Taking taylor expansion of 1/3 in k 4.397 * [taylor]: Taking taylor expansion of (log (pow k 2)) in k 4.397 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.397 * [taylor]: Taking taylor expansion of k in k 4.398 * [taylor]: Taking taylor expansion of (pow (pow k 2) 1/3) in k 4.398 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow k 2)))) in k 4.398 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow k 2))) in k 4.398 * [taylor]: Taking taylor expansion of 1/3 in k 4.398 * [taylor]: Taking taylor expansion of (log (pow k 2)) in k 4.398 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.398 * [taylor]: Taking taylor expansion of k in k 4.456 * [approximate]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in (k) around 0 4.456 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.456 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.457 * [taylor]: Taking taylor expansion of 1/3 in k 4.457 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.457 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.457 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.457 * [taylor]: Taking taylor expansion of k in k 4.458 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.458 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.458 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.458 * [taylor]: Taking taylor expansion of 1/3 in k 4.458 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.458 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.458 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.458 * [taylor]: Taking taylor expansion of k in k 4.519 * [approximate]: Taking taylor expansion of (* (pow (/ 1 (pow k 2)) 1/3) (pow (cbrt -1) 2)) in (k) around 0 4.519 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow k 2)) 1/3) (pow (cbrt -1) 2)) in k 4.519 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.519 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.519 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.519 * [taylor]: Taking taylor expansion of 1/3 in k 4.519 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.519 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.519 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.519 * [taylor]: Taking taylor expansion of k in k 4.520 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in k 4.520 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.520 * [taylor]: Taking taylor expansion of -1 in k 4.521 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow k 2)) 1/3) (pow (cbrt -1) 2)) in k 4.521 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow k 2)) 1/3) in k 4.521 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow k 2))))) in k 4.521 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow k 2)))) in k 4.521 * [taylor]: Taking taylor expansion of 1/3 in k 4.521 * [taylor]: Taking taylor expansion of (log (/ 1 (pow k 2))) in k 4.521 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 4.521 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.521 * [taylor]: Taking taylor expansion of k in k 4.522 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 2) in k 4.522 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.522 * [taylor]: Taking taylor expansion of -1 in k 4.599 * * * [progress]: simplifying candidates 4.600 * [simplify]: Simplifying using # : (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (+ 1/3 1/3) (+ 1 1) (* k k) (* (cbrt k) (cbrt k)) (+ 1 1) (+ (log (cbrt k)) (log (cbrt k))) (log (* (cbrt k) (cbrt k))) (exp (* (cbrt k) (cbrt k))) (* k k) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (cbrt (* (cbrt k) (cbrt k))) (* (* (* (cbrt k) (cbrt k)) (* (cbrt k) (cbrt k))) (* (cbrt k) (cbrt k))) (sqrt (* (cbrt k) (cbrt k))) (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt 1) (cbrt 1)) (* (cbrt k) (cbrt k)) (* (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (cbrt (cbrt k)) (cbrt (cbrt k)))) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* 1 1) (* (cbrt k) (cbrt k)) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (sqrt (cbrt k)) (cbrt (sqrt k))) (* (sqrt (cbrt k)) (cbrt (sqrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* (sqrt (cbrt k)) (sqrt (cbrt k))) (* 2 1/3) (* 2 1) (* (cbrt k) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt k) (cbrt (sqrt k))) (* (cbrt k) (cbrt 1)) (* (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k)))) (* (cbrt k) (sqrt (cbrt k))) (* (cbrt k) 1) (* (cbrt (cbrt k)) (cbrt k)) (* (cbrt (sqrt k)) (cbrt k)) (* (cbrt k) (cbrt k)) (* (cbrt (cbrt k)) (cbrt k)) (* (sqrt (cbrt k)) (cbrt k)) (* (cbrt k) (cbrt k)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 2/3) (pow (/ 1 k) -2/3) (* (pow (pow k 2) 1/3) (pow (cbrt -1) 2)) 4.604 * * [simplify]: iteration 0 : 115 enodes (cost 288 ) 4.607 * * [simplify]: iteration 1 : 472 enodes (cost 261 ) 4.621 * * [simplify]: iteration 2 : 2959 enodes (cost 238 ) 4.686 * * [simplify]: iteration 3 : 5003 enodes (cost 235 ) 4.688 * [simplify]: Simplified to: (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) 2/3 2 (pow k 2) (pow k 2/3) 2 (* 2/3 (log k)) (* 2/3 (log k)) (exp (pow k 2/3)) (pow k 2) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (cbrt (* (cbrt k) (cbrt k))) (pow k 2) (fabs (pow k 1/3)) (fabs (pow k 1/3)) (* (cbrt (* (cbrt k) (cbrt k))) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1 (pow k 2/3) (pow (cbrt (cbrt k)) 4) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (pow k 1/3) (pow k 1/3) 1 (pow k 2/3) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (* (cbrt (sqrt k)) (sqrt (cbrt k))) (pow k 1/3) (pow k 1/3) 2/3 2 (* (cbrt k) (cbrt (* (cbrt k) (cbrt k)))) (* (cbrt k) (cbrt (sqrt k))) (pow k 1/3) (pow (cbrt (cbrt k)) 5) (pow (sqrt (cbrt k)) 3) (pow k 1/3) (pow (cbrt (cbrt k)) 4) (* (cbrt k) (cbrt (sqrt k))) (pow k 2/3) (pow (cbrt (cbrt k)) 4) (pow (sqrt (cbrt k)) 3) (pow k 2/3) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 2/3) (pow (/ 1 k) -2/3) (* (pow (pow k 2) 1/3) (pow (cbrt -1) 2)) 4.688 * * * [progress]: adding candidates to table 5.165 * [progress]: [Phase 3 of 3] Extracting. 5.165 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.171 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.171 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.228 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.284 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.340 * * * [regime]: Found split indices: #