10.972 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.148 * [progress]: [Phase 2 of 3] Improving. 0.148 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.151 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.152 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.154 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.157 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.162 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.186 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.186 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.187 * * [progress]: iteration 1 / 4 0.187 * * * [progress]: picking best candidate 0.189 * * * * [pick]: Picked # 0.189 * * * [progress]: localizing error 0.203 * * * [progress]: generating rewritten candidates 0.203 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.218 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.244 * * * [progress]: generating series expansions 0.244 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.245 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.245 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.245 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.245 * [taylor]: Taking taylor expansion of 0.5 in k 0.245 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.245 * [taylor]: Taking taylor expansion of 1.0 in k 0.245 * [taylor]: Taking taylor expansion of k in k 0.245 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.245 * [taylor]: Taking taylor expansion of 2.0 in k 0.245 * [taylor]: Taking taylor expansion of (* n PI) in k 0.245 * [taylor]: Taking taylor expansion of n in k 0.245 * [taylor]: Taking taylor expansion of PI in k 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.246 * [taylor]: Taking taylor expansion of 0.5 in n 0.246 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.246 * [taylor]: Taking taylor expansion of 1.0 in n 0.246 * [taylor]: Taking taylor expansion of k in n 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.246 * [taylor]: Taking taylor expansion of 2.0 in n 0.246 * [taylor]: Taking taylor expansion of (* n PI) in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.246 * [taylor]: Taking taylor expansion of PI in n 0.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.252 * [taylor]: Taking taylor expansion of 0.5 in n 0.252 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [taylor]: Taking taylor expansion of k in n 0.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.252 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.252 * [taylor]: Taking taylor expansion of 2.0 in n 0.252 * [taylor]: Taking taylor expansion of (* n PI) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [taylor]: Taking taylor expansion of PI in n 0.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.258 * [taylor]: Taking taylor expansion of 0.5 in k 0.258 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.258 * [taylor]: Taking taylor expansion of 1.0 in k 0.258 * [taylor]: Taking taylor expansion of k in k 0.258 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.258 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.258 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.258 * [taylor]: Taking taylor expansion of 2.0 in k 0.258 * [taylor]: Taking taylor expansion of PI in k 0.259 * [taylor]: Taking taylor expansion of (log n) in k 0.259 * [taylor]: Taking taylor expansion of n in k 0.268 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [taylor]: Taking taylor expansion of 0 in k 0.303 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.303 * [taylor]: Taking taylor expansion of 0.5 in k 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.303 * [taylor]: Taking taylor expansion of 1.0 in k 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.303 * [taylor]: Taking taylor expansion of k in k 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.303 * [taylor]: Taking taylor expansion of 2.0 in k 0.303 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.303 * [taylor]: Taking taylor expansion of PI in k 0.303 * [taylor]: Taking taylor expansion of n in k 0.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.304 * [taylor]: Taking taylor expansion of 0.5 in n 0.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.305 * [taylor]: Taking taylor expansion of 1.0 in n 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.305 * [taylor]: Taking taylor expansion of k in n 0.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.305 * [taylor]: Taking taylor expansion of 2.0 in n 0.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.309 * [taylor]: Taking taylor expansion of 2.0 in n 0.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.312 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.312 * [taylor]: Taking taylor expansion of 0.5 in k 0.312 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.312 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.312 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.312 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.312 * [taylor]: Taking taylor expansion of 2.0 in k 0.312 * [taylor]: Taking taylor expansion of PI in k 0.313 * [taylor]: Taking taylor expansion of (log n) in k 0.313 * [taylor]: Taking taylor expansion of n in k 0.313 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.313 * [taylor]: Taking taylor expansion of 1.0 in k 0.313 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.329 * [taylor]: Taking taylor expansion of 0 in k 0.336 * [taylor]: Taking taylor expansion of 0 in k 0.345 * [taylor]: Taking taylor expansion of 0 in k 0.347 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.347 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.347 * [taylor]: Taking taylor expansion of 0.5 in k 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.347 * [taylor]: Taking taylor expansion of k in k 0.347 * [taylor]: Taking taylor expansion of 1.0 in k 0.347 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.347 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.347 * [taylor]: Taking taylor expansion of -2.0 in k 0.347 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.347 * [taylor]: Taking taylor expansion of PI in k 0.347 * [taylor]: Taking taylor expansion of n in k 0.348 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.348 * [taylor]: Taking taylor expansion of 0.5 in n 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.348 * [taylor]: Taking taylor expansion of k in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.348 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.348 * [taylor]: Taking taylor expansion of -2.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.352 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.352 * [taylor]: Taking taylor expansion of 0.5 in n 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.352 * [taylor]: Taking taylor expansion of k in n 0.352 * [taylor]: Taking taylor expansion of 1.0 in n 0.352 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.352 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.352 * [taylor]: Taking taylor expansion of -2.0 in n 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.352 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of n in n 0.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.356 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.356 * [taylor]: Taking taylor expansion of 0.5 in k 0.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.356 * [taylor]: Taking taylor expansion of 1.0 in k 0.356 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.356 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.356 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.356 * [taylor]: Taking taylor expansion of -2.0 in k 0.356 * [taylor]: Taking taylor expansion of PI in k 0.357 * [taylor]: Taking taylor expansion of (log n) in k 0.357 * [taylor]: Taking taylor expansion of n in k 0.366 * [taylor]: Taking taylor expansion of 0 in k 0.373 * [taylor]: Taking taylor expansion of 0 in k 0.382 * [taylor]: Taking taylor expansion of 0 in k 0.383 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.384 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.384 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.384 * [taylor]: Taking taylor expansion of 2.0 in n 0.384 * [taylor]: Taking taylor expansion of (* n PI) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.384 * [taylor]: Taking taylor expansion of PI in n 0.384 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.384 * [taylor]: Taking taylor expansion of 2.0 in n 0.384 * [taylor]: Taking taylor expansion of (* n PI) in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.384 * [taylor]: Taking taylor expansion of PI in n 0.396 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.396 * [taylor]: Taking taylor expansion of 2.0 in n 0.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.396 * [taylor]: Taking taylor expansion of 2.0 in n 0.396 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.396 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.412 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.412 * [taylor]: Taking taylor expansion of -2.0 in n 0.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.412 * [taylor]: Taking taylor expansion of -2.0 in n 0.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.412 * [taylor]: Taking taylor expansion of PI in n 0.412 * [taylor]: Taking taylor expansion of n in n 0.421 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.421 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.421 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.421 * [taylor]: Taking taylor expansion of 1.0 in k 0.421 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.421 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.421 * [taylor]: Taking taylor expansion of k in k 0.423 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.423 * [taylor]: Taking taylor expansion of 1.0 in k 0.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.423 * [taylor]: Taking taylor expansion of k in k 0.434 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.434 * [taylor]: Taking taylor expansion of 1.0 in k 0.434 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.434 * [taylor]: Taking taylor expansion of k in k 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.435 * [taylor]: Taking taylor expansion of 1.0 in k 0.435 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.435 * [taylor]: Taking taylor expansion of k in k 0.445 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.445 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.445 * [taylor]: Taking taylor expansion of 1.0 in k 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.445 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.445 * [taylor]: Taking taylor expansion of -1 in k 0.445 * [taylor]: Taking taylor expansion of k in k 0.447 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.447 * [taylor]: Taking taylor expansion of 1.0 in k 0.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.447 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.447 * [taylor]: Taking taylor expansion of -1 in k 0.447 * [taylor]: Taking taylor expansion of k in k 0.458 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.459 * [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 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.459 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.459 * [taylor]: Taking taylor expansion of k in n 0.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.459 * [taylor]: Taking taylor expansion of 0.5 in n 0.459 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of k in n 0.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.459 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.460 * [taylor]: Taking taylor expansion of 2.0 in n 0.460 * [taylor]: Taking taylor expansion of (* n PI) in n 0.460 * [taylor]: Taking taylor expansion of n in n 0.460 * [taylor]: Taking taylor expansion of PI in n 0.465 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.465 * [taylor]: Taking taylor expansion of 1.0 in k 0.465 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.465 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.465 * [taylor]: Taking taylor expansion of k in k 0.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.466 * [taylor]: Taking taylor expansion of 0.5 in k 0.466 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.466 * [taylor]: Taking taylor expansion of 1.0 in k 0.466 * [taylor]: Taking taylor expansion of k in k 0.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.466 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.466 * [taylor]: Taking taylor expansion of 2.0 in k 0.466 * [taylor]: Taking taylor expansion of (* n PI) in k 0.466 * [taylor]: Taking taylor expansion of n in k 0.466 * [taylor]: Taking taylor expansion of PI in k 0.467 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.467 * [taylor]: Taking taylor expansion of 1.0 in k 0.467 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.467 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.467 * [taylor]: Taking taylor expansion of k in k 0.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.469 * [taylor]: Taking taylor expansion of 0.5 in k 0.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.469 * [taylor]: Taking taylor expansion of 1.0 in k 0.469 * [taylor]: Taking taylor expansion of k in k 0.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.469 * [taylor]: Taking taylor expansion of 2.0 in k 0.469 * [taylor]: Taking taylor expansion of (* n PI) in k 0.469 * [taylor]: Taking taylor expansion of n in k 0.469 * [taylor]: Taking taylor expansion of PI in k 0.470 * [taylor]: Taking taylor expansion of 0 in n 0.476 * [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 0.476 * [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 0.476 * [taylor]: Taking taylor expansion of +nan.0 in n 0.476 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.476 * [taylor]: Taking taylor expansion of 0.5 in n 0.476 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.476 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.476 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.476 * [taylor]: Taking taylor expansion of 1.0 in n 0.476 * [taylor]: Taking taylor expansion of (log PI) in n 0.476 * [taylor]: Taking taylor expansion of PI in n 0.478 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of (log n) in n 0.478 * [taylor]: Taking taylor expansion of n in n 0.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.478 * [taylor]: Taking taylor expansion of 2.0 in n 0.504 * [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 0.504 * [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 0.504 * [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 0.504 * [taylor]: Taking taylor expansion of +nan.0 in n 0.504 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.504 * [taylor]: Taking taylor expansion of 0.5 in n 0.504 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.504 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log PI) in n 0.504 * [taylor]: Taking taylor expansion of PI in n 0.506 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log n) in n 0.506 * [taylor]: Taking taylor expansion of n in n 0.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.512 * [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 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of +nan.0 in n 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.512 * [taylor]: Taking taylor expansion of 0.5 in n 0.512 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.512 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.512 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.516 * [taylor]: Taking taylor expansion of 1.0 in n 0.516 * [taylor]: Taking taylor expansion of (log n) in n 0.516 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.520 * [taylor]: Taking taylor expansion of (* n PI) in n 0.520 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of PI in n 0.570 * [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 0.570 * [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 0.570 * [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 0.570 * [taylor]: Taking taylor expansion of +nan.0 in n 0.570 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.570 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.570 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.570 * [taylor]: Taking taylor expansion of 0.5 in n 0.570 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.570 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.570 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.570 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.570 * [taylor]: Taking taylor expansion of 1.0 in n 0.570 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.570 * [taylor]: Taking taylor expansion of 2.0 in n 0.572 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.572 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.572 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.572 * [taylor]: Taking taylor expansion of 1.0 in n 0.572 * [taylor]: Taking taylor expansion of (log n) in n 0.572 * [taylor]: Taking taylor expansion of n in n 0.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of (log PI) in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.578 * [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 0.578 * [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 0.579 * [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 0.579 * [taylor]: Taking taylor expansion of +nan.0 in n 0.579 * [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 0.579 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.579 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.579 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.581 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.581 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.581 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.581 * [taylor]: Taking taylor expansion of 1.0 in n 0.581 * [taylor]: Taking taylor expansion of (log PI) in n 0.581 * [taylor]: Taking taylor expansion of PI in n 0.582 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.583 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [taylor]: Taking taylor expansion of (log n) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.592 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.592 * [taylor]: Taking taylor expansion of 2.0 in n 0.592 * [taylor]: Taking taylor expansion of (* n PI) in n 0.592 * [taylor]: Taking taylor expansion of n in n 0.592 * [taylor]: Taking taylor expansion of PI in n 0.595 * [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 0.595 * [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 0.595 * [taylor]: Taking taylor expansion of +nan.0 in n 0.595 * [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 0.595 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.596 * [taylor]: Taking taylor expansion of 0.5 in n 0.596 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.597 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.597 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (log PI) in n 0.598 * [taylor]: Taking taylor expansion of PI in n 0.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.600 * [taylor]: Taking taylor expansion of 1.0 in n 0.600 * [taylor]: Taking taylor expansion of (log n) in n 0.600 * [taylor]: Taking taylor expansion of n in n 0.604 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.604 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.604 * [taylor]: Taking taylor expansion of (* n PI) in n 0.604 * [taylor]: Taking taylor expansion of n in n 0.604 * [taylor]: Taking taylor expansion of PI in n 0.683 * [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 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.683 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.683 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.683 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.684 * [taylor]: Taking taylor expansion of 0.5 in n 0.684 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.684 * [taylor]: Taking taylor expansion of k in n 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.684 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.684 * [taylor]: Taking taylor expansion of n in n 0.687 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.687 * [taylor]: Taking taylor expansion of 1.0 in k 0.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.687 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.687 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.689 * [taylor]: Taking taylor expansion of 0.5 in k 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.689 * [taylor]: Taking taylor expansion of 1.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.689 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.689 * [taylor]: Taking taylor expansion of 2.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.689 * [taylor]: Taking taylor expansion of PI in k 0.689 * [taylor]: Taking taylor expansion of n in k 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.690 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.691 * [taylor]: Taking taylor expansion of 0.5 in k 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.691 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.692 * [taylor]: Taking taylor expansion of 2.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.692 * [taylor]: Taking taylor expansion of PI in k 0.692 * [taylor]: Taking taylor expansion of n in k 0.693 * [taylor]: Taking taylor expansion of 0 in n 0.694 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.694 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.694 * [taylor]: Taking taylor expansion of +nan.0 in n 0.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.694 * [taylor]: Taking taylor expansion of 0.5 in n 0.694 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.694 * [taylor]: Taking taylor expansion of 2.0 in n 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.694 * [taylor]: Taking taylor expansion of PI in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.695 * [taylor]: Taking taylor expansion of 1.0 in n 0.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.695 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.704 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.704 * [taylor]: Taking taylor expansion of +nan.0 in n 0.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.705 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.705 * [taylor]: Taking taylor expansion of 0.5 in n 0.705 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.705 * [taylor]: Taking taylor expansion of 2.0 in n 0.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.705 * [taylor]: Taking taylor expansion of PI in n 0.705 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) 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 0.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.724 * [taylor]: Taking taylor expansion of 1.0 in n 0.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.724 * [taylor]: Taking taylor expansion of k in n 0.732 * [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 0.732 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.732 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.733 * [taylor]: Taking taylor expansion of 0.5 in n 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.733 * [taylor]: Taking taylor expansion of k in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.733 * [taylor]: Taking taylor expansion of -2.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.733 * [taylor]: Taking taylor expansion of PI in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.736 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.736 * [taylor]: Taking taylor expansion of -1 in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.737 * [taylor]: Taking taylor expansion of 1.0 in k 0.737 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.737 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.737 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.738 * [taylor]: Taking taylor expansion of 0.5 in k 0.738 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.738 * [taylor]: Taking taylor expansion of k in k 0.738 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.738 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.738 * [taylor]: Taking taylor expansion of -2.0 in k 0.738 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.738 * [taylor]: Taking taylor expansion of PI in k 0.738 * [taylor]: Taking taylor expansion of n in k 0.739 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.739 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.739 * [taylor]: Taking taylor expansion of -1 in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.740 * [taylor]: Taking taylor expansion of 0.5 in k 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.741 * [taylor]: Taking taylor expansion of 1.0 in k 0.741 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.741 * [taylor]: Taking taylor expansion of -2.0 in k 0.741 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.741 * [taylor]: Taking taylor expansion of PI in k 0.741 * [taylor]: Taking taylor expansion of n in k 0.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.742 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.742 * [taylor]: Taking taylor expansion of -1 in k 0.742 * [taylor]: Taking taylor expansion of k in k 0.743 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.743 * [taylor]: Taking taylor expansion of +nan.0 in n 0.743 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.743 * [taylor]: Taking taylor expansion of 0.5 in n 0.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.743 * [taylor]: Taking taylor expansion of k in n 0.743 * [taylor]: Taking taylor expansion of 1.0 in n 0.743 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.743 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.743 * [taylor]: Taking taylor expansion of -2.0 in n 0.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.743 * [taylor]: Taking taylor expansion of PI in n 0.743 * [taylor]: Taking taylor expansion of n in n 0.753 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.753 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.753 * [taylor]: Taking taylor expansion of +nan.0 in n 0.753 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.753 * [taylor]: Taking taylor expansion of 0.5 in n 0.753 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.753 * [taylor]: Taking taylor expansion of 1.0 in n 0.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.753 * [taylor]: Taking taylor expansion of -2.0 in n 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.777 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.777 * [taylor]: Taking taylor expansion of +nan.0 in n 0.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.777 * [taylor]: Taking taylor expansion of 0.5 in n 0.777 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.777 * [taylor]: Taking taylor expansion of k in n 0.777 * [taylor]: Taking taylor expansion of 1.0 in n 0.777 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.777 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.777 * [taylor]: Taking taylor expansion of -2.0 in n 0.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.777 * [taylor]: Taking taylor expansion of PI in n 0.777 * [taylor]: Taking taylor expansion of n in n 0.786 * * * [progress]: simplifying candidates 0.789 * [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)))) 0.887 * * * [progress]: adding candidates to table 1.254 * * [progress]: iteration 2 / 4 1.254 * * * [progress]: picking best candidate 1.280 * * * * [pick]: Picked # 1.280 * * * [progress]: localizing error 1.304 * * * [progress]: generating rewritten candidates 1.304 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.316 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.321 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.338 * * * [progress]: generating series expansions 1.338 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.339 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.339 * [taylor]: Taking taylor expansion of 0.5 in n 1.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.339 * [taylor]: Taking taylor expansion of 2.0 in n 1.339 * [taylor]: Taking taylor expansion of (* n PI) in n 1.339 * [taylor]: Taking taylor expansion of n in n 1.339 * [taylor]: Taking taylor expansion of PI in n 1.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.344 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.345 * [taylor]: Taking taylor expansion of 0.5 in n 1.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.345 * [taylor]: Taking taylor expansion of 2.0 in n 1.345 * [taylor]: Taking taylor expansion of (* n PI) in n 1.345 * [taylor]: Taking taylor expansion of n in n 1.345 * [taylor]: Taking taylor expansion of PI in n 1.429 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.429 * [taylor]: Taking taylor expansion of 0.5 in n 1.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.429 * [taylor]: Taking taylor expansion of 2.0 in n 1.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.429 * [taylor]: Taking taylor expansion of PI in n 1.429 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.433 * [taylor]: Taking taylor expansion of 0.5 in n 1.433 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.433 * [taylor]: Taking taylor expansion of 2.0 in n 1.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.433 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.514 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.514 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.514 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.514 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.514 * [taylor]: Taking taylor expansion of 0.5 in n 1.514 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.514 * [taylor]: Taking taylor expansion of -2.0 in n 1.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.514 * [taylor]: Taking taylor expansion of PI in n 1.514 * [taylor]: Taking taylor expansion of n in n 1.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.517 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.517 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.517 * [taylor]: Taking taylor expansion of 0.5 in n 1.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of -2.0 in n 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.597 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.597 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.597 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.597 * [taylor]: Taking taylor expansion of 2.0 in n 1.597 * [taylor]: Taking taylor expansion of (* n PI) in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.597 * [taylor]: Taking taylor expansion of 2.0 in n 1.598 * [taylor]: Taking taylor expansion of (* n PI) in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.609 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.610 * [taylor]: Taking taylor expansion of 2.0 in n 1.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.610 * [taylor]: Taking taylor expansion of PI in n 1.610 * [taylor]: Taking taylor expansion of n in n 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.610 * [taylor]: Taking taylor expansion of 2.0 in n 1.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.610 * [taylor]: Taking taylor expansion of PI in n 1.610 * [taylor]: Taking taylor expansion of n in n 1.619 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.619 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.619 * [taylor]: Taking taylor expansion of -2.0 in n 1.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.619 * [taylor]: Taking taylor expansion of -2.0 in n 1.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.635 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.635 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.635 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.635 * [taylor]: Taking taylor expansion of 2.0 in n 1.635 * [taylor]: Taking taylor expansion of (* n PI) in n 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [taylor]: Taking taylor expansion of PI in n 1.635 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.635 * [taylor]: Taking taylor expansion of 2.0 in n 1.635 * [taylor]: Taking taylor expansion of (* n PI) in n 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [taylor]: Taking taylor expansion of PI in n 1.647 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.647 * [taylor]: Taking taylor expansion of 2.0 in n 1.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.647 * [taylor]: Taking taylor expansion of PI in n 1.647 * [taylor]: Taking taylor expansion of n in n 1.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.648 * [taylor]: Taking taylor expansion of 2.0 in n 1.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.648 * [taylor]: Taking taylor expansion of PI in n 1.648 * [taylor]: Taking taylor expansion of n in n 1.657 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.657 * [taylor]: Taking taylor expansion of -2.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.657 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.657 * [taylor]: Taking taylor expansion of -2.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.657 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.665 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.667 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.667 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.667 * [taylor]: Taking taylor expansion of 1.0 in k 1.667 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.667 * [taylor]: Taking taylor expansion of k in k 1.668 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.668 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.668 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.668 * [taylor]: Taking taylor expansion of 0.5 in k 1.668 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.668 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.668 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.668 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.668 * [taylor]: Taking taylor expansion of 1.0 in k 1.668 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.668 * [taylor]: Taking taylor expansion of 2.0 in k 1.670 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.670 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log n) in k 1.670 * [taylor]: Taking taylor expansion of n in k 1.670 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log PI) in k 1.670 * [taylor]: Taking taylor expansion of PI in k 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.676 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.676 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.676 * [taylor]: Taking taylor expansion of 0.5 in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.676 * [taylor]: Taking taylor expansion of 2.0 in k 1.676 * [taylor]: Taking taylor expansion of (* n PI) in k 1.676 * [taylor]: Taking taylor expansion of n in k 1.677 * [taylor]: Taking taylor expansion of PI in k 1.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.680 * [taylor]: Taking taylor expansion of 1.0 in n 1.680 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.680 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.680 * [taylor]: Taking taylor expansion of k in n 1.680 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.680 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.680 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.680 * [taylor]: Taking taylor expansion of 0.5 in n 1.680 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.681 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.681 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.681 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.681 * [taylor]: Taking taylor expansion of 1.0 in n 1.681 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.681 * [taylor]: Taking taylor expansion of 2.0 in n 1.682 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.682 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.682 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.682 * [taylor]: Taking taylor expansion of 1.0 in n 1.682 * [taylor]: Taking taylor expansion of (log n) in n 1.682 * [taylor]: Taking taylor expansion of n in n 1.683 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.683 * [taylor]: Taking taylor expansion of 1.0 in n 1.683 * [taylor]: Taking taylor expansion of (log PI) in n 1.683 * [taylor]: Taking taylor expansion of PI in n 1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.689 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.689 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.689 * [taylor]: Taking taylor expansion of 0.5 in n 1.689 * [taylor]: Taking taylor expansion of k in n 1.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.689 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.689 * [taylor]: Taking taylor expansion of 2.0 in n 1.689 * [taylor]: Taking taylor expansion of (* n PI) in n 1.689 * [taylor]: Taking taylor expansion of n in n 1.689 * [taylor]: Taking taylor expansion of PI in n 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.695 * [taylor]: Taking taylor expansion of 1.0 in n 1.695 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.695 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.695 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.695 * [taylor]: Taking taylor expansion of k in n 1.695 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.695 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.695 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.695 * [taylor]: Taking taylor expansion of 0.5 in n 1.695 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.695 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.695 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.695 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.695 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.695 * [taylor]: Taking taylor expansion of 1.0 in n 1.695 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.695 * [taylor]: Taking taylor expansion of 2.0 in n 1.697 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.697 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.697 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.697 * [taylor]: Taking taylor expansion of 1.0 in n 1.697 * [taylor]: Taking taylor expansion of (log n) in n 1.697 * [taylor]: Taking taylor expansion of n in n 1.698 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.698 * [taylor]: Taking taylor expansion of 1.0 in n 1.698 * [taylor]: Taking taylor expansion of (log PI) in n 1.698 * [taylor]: Taking taylor expansion of PI in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.703 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.703 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.703 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.703 * [taylor]: Taking taylor expansion of 0.5 in n 1.703 * [taylor]: Taking taylor expansion of k in n 1.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.703 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.703 * [taylor]: Taking taylor expansion of 2.0 in n 1.703 * [taylor]: Taking taylor expansion of (* n PI) in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.703 * [taylor]: Taking taylor expansion of PI in n 1.720 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.720 * [taylor]: Taking taylor expansion of 1.0 in k 1.720 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.721 * [taylor]: Taking taylor expansion of k in k 1.722 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.722 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.722 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.722 * [taylor]: Taking taylor expansion of 0.5 in k 1.722 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.722 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.722 * [taylor]: Taking taylor expansion of 1.0 in k 1.722 * [taylor]: Taking taylor expansion of (log PI) in k 1.722 * [taylor]: Taking taylor expansion of PI in k 1.724 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.724 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.724 * [taylor]: Taking taylor expansion of 1.0 in k 1.724 * [taylor]: Taking taylor expansion of (log n) in k 1.724 * [taylor]: Taking taylor expansion of n in k 1.725 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.725 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.725 * [taylor]: Taking taylor expansion of 1.0 in k 1.725 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.725 * [taylor]: Taking taylor expansion of 2.0 in k 1.730 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.730 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.730 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.730 * [taylor]: Taking taylor expansion of 2.0 in k 1.730 * [taylor]: Taking taylor expansion of PI in k 1.731 * [taylor]: Taking taylor expansion of (log n) in k 1.731 * [taylor]: Taking taylor expansion of n in k 1.761 * [taylor]: Taking taylor expansion of 0 in k 1.820 * [taylor]: Taking taylor expansion of 0 in k 1.919 * [taylor]: Taking taylor expansion of 0 in k 2.038 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 2.038 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.038 * [taylor]: Taking taylor expansion of 1.0 in k 2.038 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.038 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.038 * [taylor]: Taking taylor expansion of k in k 2.040 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.040 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.040 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.040 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.040 * [taylor]: Taking taylor expansion of 0.5 in k 2.040 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.040 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.040 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.040 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.040 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.040 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.040 * [taylor]: Taking taylor expansion of 1.0 in k 2.040 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.040 * [taylor]: Taking taylor expansion of 2.0 in k 2.042 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.042 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.042 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.042 * [taylor]: Taking taylor expansion of 1.0 in k 2.042 * [taylor]: Taking taylor expansion of (log PI) in k 2.042 * [taylor]: Taking taylor expansion of PI in k 2.043 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.044 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.044 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.044 * [taylor]: Taking taylor expansion of 1.0 in k 2.044 * [taylor]: Taking taylor expansion of (log n) in k 2.044 * [taylor]: Taking taylor expansion of n in k 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.050 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.050 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.050 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.050 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.050 * [taylor]: Taking taylor expansion of 0.5 in k 2.050 * [taylor]: Taking taylor expansion of k in k 2.051 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.051 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.051 * [taylor]: Taking taylor expansion of 2.0 in k 2.051 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.051 * [taylor]: Taking taylor expansion of PI in k 2.051 * [taylor]: Taking taylor expansion of n in k 2.051 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.051 * [taylor]: Taking taylor expansion of 1.0 in n 2.051 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.051 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.051 * [taylor]: Taking taylor expansion of k in n 2.051 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.051 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.051 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.051 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.051 * [taylor]: Taking taylor expansion of 0.5 in n 2.051 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.051 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.051 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.051 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.051 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.051 * [taylor]: Taking taylor expansion of 1.0 in n 2.051 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.052 * [taylor]: Taking taylor expansion of 2.0 in n 2.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.054 * [taylor]: Taking taylor expansion of 1.0 in n 2.054 * [taylor]: Taking taylor expansion of (log PI) in n 2.054 * [taylor]: Taking taylor expansion of PI in n 2.055 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.055 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.055 * [taylor]: Taking taylor expansion of 1.0 in n 2.055 * [taylor]: Taking taylor expansion of (log n) in n 2.055 * [taylor]: Taking taylor expansion of n in n 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.062 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.062 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.063 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.063 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.063 * [taylor]: Taking taylor expansion of 0.5 in n 2.063 * [taylor]: Taking taylor expansion of k in n 2.063 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.063 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.063 * [taylor]: Taking taylor expansion of 2.0 in n 2.063 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.063 * [taylor]: Taking taylor expansion of PI in n 2.063 * [taylor]: Taking taylor expansion of n in n 2.073 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.073 * [taylor]: Taking taylor expansion of 1.0 in n 2.073 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.073 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.073 * [taylor]: Taking taylor expansion of k in n 2.073 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.073 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.073 * [taylor]: Taking taylor expansion of 0.5 in n 2.073 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.073 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.073 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.073 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.073 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.073 * [taylor]: Taking taylor expansion of 1.0 in n 2.073 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.073 * [taylor]: Taking taylor expansion of 2.0 in n 2.075 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.075 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.075 * [taylor]: Taking taylor expansion of 1.0 in n 2.075 * [taylor]: Taking taylor expansion of (log PI) in n 2.075 * [taylor]: Taking taylor expansion of PI in n 2.077 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.077 * [taylor]: Taking taylor expansion of 1.0 in n 2.077 * [taylor]: Taking taylor expansion of (log n) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.084 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.084 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.084 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.084 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.084 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.084 * [taylor]: Taking taylor expansion of 0.5 in n 2.084 * [taylor]: Taking taylor expansion of k in n 2.084 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.084 * [taylor]: Taking taylor expansion of 2.0 in n 2.084 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.084 * [taylor]: Taking taylor expansion of PI in n 2.084 * [taylor]: Taking taylor expansion of n in n 2.095 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 2.095 * [taylor]: Taking taylor expansion of 1.0 in k 2.095 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 2.095 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.095 * [taylor]: Taking taylor expansion of k in k 2.096 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.096 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.096 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.096 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.096 * [taylor]: Taking taylor expansion of 0.5 in k 2.096 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.096 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.096 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.096 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.096 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.096 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.096 * [taylor]: Taking taylor expansion of 1.0 in k 2.096 * [taylor]: Taking taylor expansion of (log PI) in k 2.096 * [taylor]: Taking taylor expansion of PI in k 2.098 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.098 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.098 * [taylor]: Taking taylor expansion of 1.0 in k 2.098 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.098 * [taylor]: Taking taylor expansion of 2.0 in k 2.100 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.100 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.100 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.100 * [taylor]: Taking taylor expansion of 1.0 in k 2.100 * [taylor]: Taking taylor expansion of (log n) in k 2.100 * [taylor]: Taking taylor expansion of n in k 2.107 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.107 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.107 * [taylor]: Taking taylor expansion of 0.5 in k 2.107 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.107 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.107 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.107 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.107 * [taylor]: Taking taylor expansion of 2.0 in k 2.107 * [taylor]: Taking taylor expansion of PI in k 2.108 * [taylor]: Taking taylor expansion of (log n) in k 2.108 * [taylor]: Taking taylor expansion of n in k 2.108 * [taylor]: Taking taylor expansion of k in k 2.141 * [taylor]: Taking taylor expansion of 0 in k 2.205 * [taylor]: Taking taylor expansion of 0 in k 2.289 * [taylor]: Taking taylor expansion of 0 in k 2.348 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.348 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.348 * [taylor]: Taking taylor expansion of 1.0 in k 2.348 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.348 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.348 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.348 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.348 * [taylor]: Taking taylor expansion of -1 in k 2.348 * [taylor]: Taking taylor expansion of k in k 2.349 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.349 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.349 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.349 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.349 * [taylor]: Taking taylor expansion of -0.5 in k 2.349 * [taylor]: Taking taylor expansion of k in k 2.350 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.350 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.350 * [taylor]: Taking taylor expansion of -2.0 in k 2.350 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.350 * [taylor]: Taking taylor expansion of PI in k 2.350 * [taylor]: Taking taylor expansion of n in k 2.351 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.351 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.351 * [taylor]: Taking taylor expansion of 0.5 in k 2.351 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.351 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.351 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.351 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.351 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.351 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.351 * [taylor]: Taking taylor expansion of 1.0 in k 2.351 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.351 * [taylor]: Taking taylor expansion of -2.0 in k 2.353 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.353 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.353 * [taylor]: Taking taylor expansion of 1.0 in k 2.353 * [taylor]: Taking taylor expansion of (log PI) in k 2.353 * [taylor]: Taking taylor expansion of PI in k 2.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.355 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.355 * [taylor]: Taking taylor expansion of 1.0 in k 2.355 * [taylor]: Taking taylor expansion of (log n) in k 2.355 * [taylor]: Taking taylor expansion of n in k 2.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.361 * [taylor]: Taking taylor expansion of 1.0 in n 2.361 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.361 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.361 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.361 * [taylor]: Taking taylor expansion of -1 in n 2.361 * [taylor]: Taking taylor expansion of k in n 2.361 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.361 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.361 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.362 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.362 * [taylor]: Taking taylor expansion of -0.5 in n 2.362 * [taylor]: Taking taylor expansion of k in n 2.362 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.362 * [taylor]: Taking taylor expansion of -2.0 in n 2.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.362 * [taylor]: Taking taylor expansion of PI in n 2.362 * [taylor]: Taking taylor expansion of n in n 2.367 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.367 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.367 * [taylor]: Taking taylor expansion of 0.5 in n 2.367 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.367 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.367 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.367 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.367 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.367 * [taylor]: Taking taylor expansion of 1.0 in n 2.367 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.367 * [taylor]: Taking taylor expansion of -2.0 in n 2.369 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.369 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.369 * [taylor]: Taking taylor expansion of 1.0 in n 2.369 * [taylor]: Taking taylor expansion of (log PI) in n 2.369 * [taylor]: Taking taylor expansion of PI in n 2.370 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.370 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.370 * [taylor]: Taking taylor expansion of 1.0 in n 2.370 * [taylor]: Taking taylor expansion of (log n) in n 2.371 * [taylor]: Taking taylor expansion of n in n 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.378 * [taylor]: Taking taylor expansion of 1.0 in n 2.378 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.378 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.378 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.378 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.378 * [taylor]: Taking taylor expansion of -1 in n 2.378 * [taylor]: Taking taylor expansion of k in n 2.378 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.378 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.378 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.378 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.378 * [taylor]: Taking taylor expansion of -0.5 in n 2.378 * [taylor]: Taking taylor expansion of k in n 2.378 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.378 * [taylor]: Taking taylor expansion of -2.0 in n 2.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.378 * [taylor]: Taking taylor expansion of PI in n 2.378 * [taylor]: Taking taylor expansion of n in n 2.383 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.383 * [taylor]: Taking taylor expansion of 0.5 in n 2.383 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.383 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.383 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.383 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.383 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.383 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.383 * [taylor]: Taking taylor expansion of 1.0 in n 2.383 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.383 * [taylor]: Taking taylor expansion of -2.0 in n 2.385 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.385 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.385 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.385 * [taylor]: Taking taylor expansion of 1.0 in n 2.385 * [taylor]: Taking taylor expansion of (log PI) in n 2.385 * [taylor]: Taking taylor expansion of PI in n 2.387 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log n) in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.398 * [taylor]: Taking taylor expansion of 1.0 in k 2.398 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.398 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.398 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.398 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.398 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.398 * [taylor]: Taking taylor expansion of -0.5 in k 2.398 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.398 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.398 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.398 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.399 * [taylor]: Taking taylor expansion of -2.0 in k 2.399 * [taylor]: Taking taylor expansion of PI in k 2.399 * [taylor]: Taking taylor expansion of (log n) in k 2.400 * [taylor]: Taking taylor expansion of n in k 2.400 * [taylor]: Taking taylor expansion of k in k 2.402 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.402 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.402 * [taylor]: Taking taylor expansion of -1 in k 2.402 * [taylor]: Taking taylor expansion of k in k 2.406 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.406 * [taylor]: Taking taylor expansion of 0.5 in k 2.406 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.406 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.406 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.406 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.406 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.406 * [taylor]: Taking taylor expansion of 1.0 in k 2.406 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.406 * [taylor]: Taking taylor expansion of -2.0 in k 2.408 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.408 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.408 * [taylor]: Taking taylor expansion of 1.0 in k 2.408 * [taylor]: Taking taylor expansion of (log PI) in k 2.408 * [taylor]: Taking taylor expansion of PI in k 2.410 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.410 * [taylor]: Taking taylor expansion of 1.0 in k 2.410 * [taylor]: Taking taylor expansion of (log n) in k 2.410 * [taylor]: Taking taylor expansion of n in k 2.454 * [taylor]: Taking taylor expansion of 0 in k 2.522 * [taylor]: Taking taylor expansion of 0 in k 2.568 * * * [progress]: simplifying candidates 2.570 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 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(pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) 2.668 * * * [progress]: adding candidates to table 2.892 * * [progress]: iteration 3 / 4 2.892 * * * [progress]: picking best candidate 2.917 * * * * [pick]: Picked # 2.917 * * * [progress]: localizing error 2.935 * * * [progress]: generating rewritten candidates 2.935 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.942 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.947 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 2.952 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.972 * * * [progress]: generating series expansions 2.972 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.973 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.973 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.973 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.973 * [taylor]: Taking taylor expansion of 0.5 in n 2.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.973 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.973 * [taylor]: Taking taylor expansion of 2.0 in n 2.973 * [taylor]: Taking taylor expansion of (* n PI) in n 2.973 * [taylor]: Taking taylor expansion of n in n 2.973 * [taylor]: Taking taylor expansion of PI in n 2.978 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.978 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.978 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.979 * [taylor]: Taking taylor expansion of 0.5 in n 2.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.979 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.979 * [taylor]: Taking taylor expansion of 2.0 in n 2.979 * [taylor]: Taking taylor expansion of (* n PI) in n 2.979 * [taylor]: Taking taylor expansion of n in n 2.979 * [taylor]: Taking taylor expansion of PI in n 3.064 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.064 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.064 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.064 * [taylor]: Taking taylor expansion of 0.5 in n 3.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.064 * [taylor]: Taking taylor expansion of 2.0 in n 3.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.064 * [taylor]: Taking taylor expansion of PI in n 3.064 * [taylor]: Taking taylor expansion of n in n 3.067 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.067 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.067 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.067 * [taylor]: Taking taylor expansion of 0.5 in n 3.067 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.067 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.067 * [taylor]: Taking taylor expansion of 2.0 in n 3.067 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.067 * [taylor]: Taking taylor expansion of PI in n 3.067 * [taylor]: Taking taylor expansion of n in n 3.149 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.149 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.149 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.149 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.149 * [taylor]: Taking taylor expansion of 0.5 in n 3.149 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.149 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.149 * [taylor]: Taking taylor expansion of -2.0 in n 3.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.149 * [taylor]: Taking taylor expansion of PI in n 3.149 * [taylor]: Taking taylor expansion of n in n 3.152 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.153 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.153 * [taylor]: Taking taylor expansion of 0.5 in n 3.153 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.153 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.153 * [taylor]: Taking taylor expansion of -2.0 in n 3.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.153 * [taylor]: Taking taylor expansion of PI in n 3.153 * [taylor]: Taking taylor expansion of n in n 3.235 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.236 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.236 * [taylor]: Taking taylor expansion of 2.0 in n 3.236 * [taylor]: Taking taylor expansion of (* n PI) in n 3.236 * [taylor]: Taking taylor expansion of n in n 3.236 * [taylor]: Taking taylor expansion of PI in n 3.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.236 * [taylor]: Taking taylor expansion of 2.0 in n 3.236 * [taylor]: Taking taylor expansion of (* n PI) in n 3.236 * [taylor]: Taking taylor expansion of n in n 3.236 * [taylor]: Taking taylor expansion of PI in n 3.248 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.248 * [taylor]: Taking taylor expansion of 2.0 in n 3.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.248 * [taylor]: Taking taylor expansion of PI in n 3.248 * [taylor]: Taking taylor expansion of n in n 3.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.248 * [taylor]: Taking taylor expansion of 2.0 in n 3.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.248 * [taylor]: Taking taylor expansion of PI in n 3.248 * [taylor]: Taking taylor expansion of n in n 3.258 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.258 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.258 * [taylor]: Taking taylor expansion of -2.0 in n 3.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.258 * [taylor]: Taking taylor expansion of PI in n 3.258 * [taylor]: Taking taylor expansion of n in n 3.258 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.258 * [taylor]: Taking taylor expansion of -2.0 in n 3.258 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.258 * [taylor]: Taking taylor expansion of PI in n 3.258 * [taylor]: Taking taylor expansion of n in n 3.267 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 3.267 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.267 * [taylor]: Taking taylor expansion of 2.0 in n 3.267 * [taylor]: Taking taylor expansion of (* n PI) in n 3.267 * [taylor]: Taking taylor expansion of n in n 3.267 * [taylor]: Taking taylor expansion of PI in n 3.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.267 * [taylor]: Taking taylor expansion of 2.0 in n 3.267 * [taylor]: Taking taylor expansion of (* n PI) in n 3.267 * [taylor]: Taking taylor expansion of n in n 3.267 * [taylor]: Taking taylor expansion of PI in n 3.279 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.280 * [taylor]: Taking taylor expansion of 2.0 in n 3.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.280 * [taylor]: Taking taylor expansion of PI in n 3.280 * [taylor]: Taking taylor expansion of n in n 3.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.280 * [taylor]: Taking taylor expansion of 2.0 in n 3.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.280 * [taylor]: Taking taylor expansion of PI in n 3.280 * [taylor]: Taking taylor expansion of n in n 3.297 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.297 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.297 * [taylor]: Taking taylor expansion of -2.0 in n 3.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.297 * [taylor]: Taking taylor expansion of PI in n 3.297 * [taylor]: Taking taylor expansion of n in n 3.297 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.297 * [taylor]: Taking taylor expansion of -2.0 in n 3.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.297 * [taylor]: Taking taylor expansion of PI in n 3.297 * [taylor]: Taking taylor expansion of n in n 3.306 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.307 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in (k n) around 0 3.307 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.307 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.307 * [taylor]: Taking taylor expansion of k in n 3.307 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.307 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.307 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.307 * [taylor]: Taking taylor expansion of 0.5 in n 3.307 * [taylor]: Taking taylor expansion of k in n 3.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.307 * [taylor]: Taking taylor expansion of 2.0 in n 3.308 * [taylor]: Taking taylor expansion of (* n PI) in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.308 * [taylor]: Taking taylor expansion of PI in n 3.313 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.313 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.313 * [taylor]: Taking taylor expansion of 0.5 in n 3.313 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.313 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.313 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.313 * [taylor]: Taking taylor expansion of 1.0 in n 3.313 * [taylor]: Taking taylor expansion of (log PI) in n 3.313 * [taylor]: Taking taylor expansion of PI in n 3.315 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.315 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.315 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.315 * [taylor]: Taking taylor expansion of 1.0 in n 3.315 * [taylor]: Taking taylor expansion of (log n) in n 3.315 * [taylor]: Taking taylor expansion of n in n 3.315 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.316 * [taylor]: Taking taylor expansion of 1.0 in n 3.316 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.316 * [taylor]: Taking taylor expansion of 2.0 in n 3.322 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 3.322 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.322 * [taylor]: Taking taylor expansion of k in k 3.323 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 3.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.323 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.323 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.323 * [taylor]: Taking taylor expansion of 0.5 in k 3.323 * [taylor]: Taking taylor expansion of k in k 3.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.323 * [taylor]: Taking taylor expansion of 2.0 in k 3.323 * [taylor]: Taking taylor expansion of (* n PI) in k 3.323 * [taylor]: Taking taylor expansion of n in k 3.323 * [taylor]: Taking taylor expansion of PI in k 3.326 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 3.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 3.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.326 * [taylor]: Taking taylor expansion of 0.5 in k 3.326 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.326 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.326 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.326 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.326 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.326 * [taylor]: Taking taylor expansion of 1.0 in k 3.326 * [taylor]: Taking taylor expansion of (log PI) in k 3.326 * [taylor]: Taking taylor expansion of PI in k 3.328 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.328 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.328 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.328 * [taylor]: Taking taylor expansion of 1.0 in k 3.328 * [taylor]: Taking taylor expansion of (log n) in k 3.328 * [taylor]: Taking taylor expansion of n in k 3.328 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.328 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.328 * [taylor]: Taking taylor expansion of 1.0 in k 3.328 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.328 * [taylor]: Taking taylor expansion of 2.0 in k 3.334 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 3.334 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.334 * [taylor]: Taking taylor expansion of k in k 3.336 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 3.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.336 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.336 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.336 * [taylor]: Taking taylor expansion of 0.5 in k 3.336 * [taylor]: Taking taylor expansion of k in k 3.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.336 * [taylor]: Taking taylor expansion of 2.0 in k 3.336 * [taylor]: Taking taylor expansion of (* n PI) in k 3.336 * [taylor]: Taking taylor expansion of n in k 3.336 * [taylor]: Taking taylor expansion of PI in k 3.338 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 3.339 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 3.339 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.339 * [taylor]: Taking taylor expansion of 0.5 in k 3.339 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.339 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.339 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.339 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.339 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.339 * [taylor]: Taking taylor expansion of 1.0 in k 3.339 * [taylor]: Taking taylor expansion of (log PI) in k 3.339 * [taylor]: Taking taylor expansion of PI in k 3.341 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.341 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.341 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.341 * [taylor]: Taking taylor expansion of 1.0 in k 3.341 * [taylor]: Taking taylor expansion of (log n) in k 3.341 * [taylor]: Taking taylor expansion of n in k 3.341 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.341 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.341 * [taylor]: Taking taylor expansion of 1.0 in k 3.341 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.341 * [taylor]: Taking taylor expansion of 2.0 in k 3.349 * [taylor]: Taking taylor expansion of 0 in n 3.364 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.364 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.364 * [taylor]: Taking taylor expansion of +nan.0 in n 3.364 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.364 * [taylor]: Taking taylor expansion of 0.5 in n 3.364 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.364 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.364 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.364 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.364 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.364 * [taylor]: Taking taylor expansion of 1.0 in n 3.364 * [taylor]: Taking taylor expansion of (log PI) in n 3.364 * [taylor]: Taking taylor expansion of PI in n 3.366 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.366 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.366 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.366 * [taylor]: Taking taylor expansion of 1.0 in n 3.366 * [taylor]: Taking taylor expansion of (log n) in n 3.366 * [taylor]: Taking taylor expansion of n in n 3.367 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.367 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.367 * [taylor]: Taking taylor expansion of 1.0 in n 3.367 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.367 * [taylor]: Taking taylor expansion of 2.0 in n 3.410 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 3.410 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 3.410 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 3.410 * [taylor]: Taking taylor expansion of +nan.0 in n 3.410 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 3.411 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 3.411 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.411 * [taylor]: Taking taylor expansion of 0.5 in n 3.411 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.411 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.411 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.411 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.411 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.411 * [taylor]: Taking taylor expansion of 1.0 in n 3.411 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.411 * [taylor]: Taking taylor expansion of 2.0 in n 3.412 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.413 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.413 * [taylor]: Taking taylor expansion of 1.0 in n 3.413 * [taylor]: Taking taylor expansion of (log n) in n 3.413 * [taylor]: Taking taylor expansion of n in n 3.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.413 * [taylor]: Taking taylor expansion of 1.0 in n 3.413 * [taylor]: Taking taylor expansion of (log PI) in n 3.413 * [taylor]: Taking taylor expansion of PI in n 3.420 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 3.420 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.420 * [taylor]: Taking taylor expansion of +nan.0 in n 3.420 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.420 * [taylor]: Taking taylor expansion of 2.0 in n 3.420 * [taylor]: Taking taylor expansion of (* n PI) in n 3.420 * [taylor]: Taking taylor expansion of n in n 3.420 * [taylor]: Taking taylor expansion of PI in n 3.423 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.423 * [taylor]: Taking taylor expansion of 0.5 in n 3.423 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.423 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.423 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.423 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.423 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.423 * [taylor]: Taking taylor expansion of 1.0 in n 3.423 * [taylor]: Taking taylor expansion of (log PI) in n 3.423 * [taylor]: Taking taylor expansion of PI in n 3.425 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.425 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.425 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.425 * [taylor]: Taking taylor expansion of 1.0 in n 3.425 * [taylor]: Taking taylor expansion of (log n) in n 3.425 * [taylor]: Taking taylor expansion of n in n 3.426 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.426 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.426 * [taylor]: Taking taylor expansion of 1.0 in n 3.426 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.426 * [taylor]: Taking taylor expansion of 2.0 in n 3.508 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 3.508 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 3.508 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.508 * [taylor]: Taking taylor expansion of +nan.0 in n 3.508 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.508 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.508 * [taylor]: Taking taylor expansion of 0.5 in n 3.508 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.508 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.508 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.509 * [taylor]: Taking taylor expansion of 1.0 in n 3.509 * [taylor]: Taking taylor expansion of (log PI) in n 3.509 * [taylor]: Taking taylor expansion of PI in n 3.510 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.510 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.510 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.510 * [taylor]: Taking taylor expansion of 1.0 in n 3.510 * [taylor]: Taking taylor expansion of (log n) in n 3.510 * [taylor]: Taking taylor expansion of n in n 3.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.511 * [taylor]: Taking taylor expansion of 1.0 in n 3.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.511 * [taylor]: Taking taylor expansion of 2.0 in n 3.517 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 3.517 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 3.517 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.517 * [taylor]: Taking taylor expansion of +nan.0 in n 3.517 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.517 * [taylor]: Taking taylor expansion of 2.0 in n 3.517 * [taylor]: Taking taylor expansion of (* n PI) in n 3.517 * [taylor]: Taking taylor expansion of n in n 3.517 * [taylor]: Taking taylor expansion of PI in n 3.520 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.521 * [taylor]: Taking taylor expansion of 0.5 in n 3.521 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.521 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.521 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.521 * [taylor]: Taking taylor expansion of 1.0 in n 3.521 * [taylor]: Taking taylor expansion of (log PI) in n 3.521 * [taylor]: Taking taylor expansion of PI in n 3.522 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.523 * [taylor]: Taking taylor expansion of 1.0 in n 3.523 * [taylor]: Taking taylor expansion of (log n) in n 3.523 * [taylor]: Taking taylor expansion of n in n 3.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.523 * [taylor]: Taking taylor expansion of 1.0 in n 3.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.523 * [taylor]: Taking taylor expansion of 2.0 in n 3.529 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 3.530 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.530 * [taylor]: Taking taylor expansion of +nan.0 in n 3.530 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.530 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.530 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.530 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.530 * [taylor]: Taking taylor expansion of 2.0 in n 3.530 * [taylor]: Taking taylor expansion of (* n PI) in n 3.530 * [taylor]: Taking taylor expansion of n in n 3.530 * [taylor]: Taking taylor expansion of PI in n 3.534 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.534 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.534 * [taylor]: Taking taylor expansion of 0.5 in n 3.534 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.534 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.534 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.534 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.534 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.534 * [taylor]: Taking taylor expansion of 1.0 in n 3.534 * [taylor]: Taking taylor expansion of (log PI) in n 3.534 * [taylor]: Taking taylor expansion of PI in n 3.536 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.536 * [taylor]: Taking taylor expansion of 1.0 in n 3.536 * [taylor]: Taking taylor expansion of (log n) in n 3.536 * [taylor]: Taking taylor expansion of n in n 3.536 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.536 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.536 * [taylor]: Taking taylor expansion of 1.0 in n 3.536 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.536 * [taylor]: Taking taylor expansion of 2.0 in n 3.625 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 3.625 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.625 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.625 * [taylor]: Taking taylor expansion of k in n 3.625 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.625 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.625 * [taylor]: Taking taylor expansion of 0.5 in n 3.625 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.625 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.625 * [taylor]: Taking taylor expansion of 1.0 in n 3.625 * [taylor]: Taking taylor expansion of (log n) in n 3.626 * [taylor]: Taking taylor expansion of n in n 3.626 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.626 * [taylor]: Taking taylor expansion of 1.0 in n 3.626 * [taylor]: Taking taylor expansion of (log PI) in n 3.626 * [taylor]: Taking taylor expansion of PI in n 3.628 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.628 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.628 * [taylor]: Taking taylor expansion of 1.0 in n 3.628 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.628 * [taylor]: Taking taylor expansion of 2.0 in n 3.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.636 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.636 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.636 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.636 * [taylor]: Taking taylor expansion of 0.5 in n 3.636 * [taylor]: Taking taylor expansion of k in n 3.636 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.636 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.636 * [taylor]: Taking taylor expansion of 2.0 in n 3.636 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.636 * [taylor]: Taking taylor expansion of PI in n 3.636 * [taylor]: Taking taylor expansion of n in n 3.640 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.640 * [taylor]: Taking taylor expansion of k in k 3.641 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.641 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 3.641 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 3.641 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.641 * [taylor]: Taking taylor expansion of 0.5 in k 3.641 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.641 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.641 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.642 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.642 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [taylor]: Taking taylor expansion of (log n) in k 3.642 * [taylor]: Taking taylor expansion of n in k 3.642 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.642 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.642 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.642 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [taylor]: Taking taylor expansion of (log PI) in k 3.642 * [taylor]: Taking taylor expansion of PI in k 3.644 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.644 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.644 * [taylor]: Taking taylor expansion of 1.0 in k 3.644 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.644 * [taylor]: Taking taylor expansion of 2.0 in k 3.658 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.658 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.658 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.658 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.658 * [taylor]: Taking taylor expansion of 0.5 in k 3.658 * [taylor]: Taking taylor expansion of k in k 3.658 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.658 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.658 * [taylor]: Taking taylor expansion of 2.0 in k 3.658 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.658 * [taylor]: Taking taylor expansion of PI in k 3.658 * [taylor]: Taking taylor expansion of n in k 3.658 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.658 * [taylor]: Taking taylor expansion of k in k 3.660 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.660 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 3.660 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 3.660 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.660 * [taylor]: Taking taylor expansion of 0.5 in k 3.660 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.660 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.660 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.660 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.660 * [taylor]: Taking taylor expansion of 1.0 in k 3.660 * [taylor]: Taking taylor expansion of (log n) in k 3.660 * [taylor]: Taking taylor expansion of n in k 3.660 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.660 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.660 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.660 * [taylor]: Taking taylor expansion of 1.0 in k 3.660 * [taylor]: Taking taylor expansion of (log PI) in k 3.660 * [taylor]: Taking taylor expansion of PI in k 3.662 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.662 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.662 * [taylor]: Taking taylor expansion of 1.0 in k 3.662 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.662 * [taylor]: Taking taylor expansion of 2.0 in k 3.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.671 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.671 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.671 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.671 * [taylor]: Taking taylor expansion of 0.5 in k 3.671 * [taylor]: Taking taylor expansion of k in k 3.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.671 * [taylor]: Taking taylor expansion of 2.0 in k 3.671 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.671 * [taylor]: Taking taylor expansion of PI in k 3.671 * [taylor]: Taking taylor expansion of n in k 3.674 * [taylor]: Taking taylor expansion of 0 in n 3.690 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.691 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.691 * [taylor]: Taking taylor expansion of +nan.0 in n 3.691 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.691 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.691 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.691 * [taylor]: Taking taylor expansion of 0.5 in n 3.691 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.691 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.691 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.691 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.691 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.691 * [taylor]: Taking taylor expansion of 1.0 in n 3.691 * [taylor]: Taking taylor expansion of (log n) in n 3.691 * [taylor]: Taking taylor expansion of n in n 3.691 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.691 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.691 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.691 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.692 * [taylor]: Taking taylor expansion of 1.0 in n 3.692 * [taylor]: Taking taylor expansion of (log PI) in n 3.692 * [taylor]: Taking taylor expansion of PI in n 3.693 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.693 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.693 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.693 * [taylor]: Taking taylor expansion of 1.0 in n 3.693 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.693 * [taylor]: Taking taylor expansion of 2.0 in n 3.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.702 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.702 * [taylor]: Taking taylor expansion of 0.5 in n 3.702 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.702 * [taylor]: Taking taylor expansion of 2.0 in n 3.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.702 * [taylor]: Taking taylor expansion of PI in n 3.702 * [taylor]: Taking taylor expansion of n in n 3.703 * [taylor]: Taking taylor expansion of k in n 3.747 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.747 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.747 * [taylor]: Taking taylor expansion of +nan.0 in n 3.747 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.747 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.747 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.747 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.747 * [taylor]: Taking taylor expansion of 0.5 in n 3.747 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.747 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.747 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.747 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.747 * [taylor]: Taking taylor expansion of 1.0 in n 3.747 * [taylor]: Taking taylor expansion of (log n) in n 3.747 * [taylor]: Taking taylor expansion of n in n 3.748 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.748 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.748 * [taylor]: Taking taylor expansion of 1.0 in n 3.748 * [taylor]: Taking taylor expansion of (log PI) in n 3.748 * [taylor]: Taking taylor expansion of PI in n 3.750 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.750 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.750 * [taylor]: Taking taylor expansion of 1.0 in n 3.750 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.750 * [taylor]: Taking taylor expansion of 2.0 in n 3.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.759 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.759 * [taylor]: Taking taylor expansion of 0.5 in n 3.759 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.759 * [taylor]: Taking taylor expansion of 2.0 in n 3.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.759 * [taylor]: Taking taylor expansion of PI in n 3.759 * [taylor]: Taking taylor expansion of n in n 3.760 * [taylor]: Taking taylor expansion of k in n 3.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.834 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.834 * [taylor]: Taking taylor expansion of +nan.0 in n 3.834 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.834 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.834 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.834 * [taylor]: Taking taylor expansion of 0.5 in n 3.834 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.834 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.834 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.834 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.834 * [taylor]: Taking taylor expansion of 1.0 in n 3.834 * [taylor]: Taking taylor expansion of (log n) in n 3.834 * [taylor]: Taking taylor expansion of n in n 3.835 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.835 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.835 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.835 * [taylor]: Taking taylor expansion of 1.0 in n 3.835 * [taylor]: Taking taylor expansion of (log PI) in n 3.835 * [taylor]: Taking taylor expansion of PI in n 3.837 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.837 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.837 * [taylor]: Taking taylor expansion of 1.0 in n 3.837 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.837 * [taylor]: Taking taylor expansion of 2.0 in n 3.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.845 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.846 * [taylor]: Taking taylor expansion of 0.5 in n 3.846 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.846 * [taylor]: Taking taylor expansion of 2.0 in n 3.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.846 * [taylor]: Taking taylor expansion of PI in n 3.846 * [taylor]: Taking taylor expansion of n in n 3.847 * [taylor]: Taking taylor expansion of k in n 3.867 * [approximate]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (k n) around 0 3.867 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.867 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.867 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.867 * [taylor]: Taking taylor expansion of -1 in n 3.867 * [taylor]: Taking taylor expansion of k in n 3.867 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.867 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.867 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.868 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.868 * [taylor]: Taking taylor expansion of -0.5 in n 3.868 * [taylor]: Taking taylor expansion of k in n 3.868 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.868 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.868 * [taylor]: Taking taylor expansion of -2.0 in n 3.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.868 * [taylor]: Taking taylor expansion of PI in n 3.868 * [taylor]: Taking taylor expansion of n in n 3.871 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.871 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.871 * [taylor]: Taking taylor expansion of 0.5 in n 3.871 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.871 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.871 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.871 * [taylor]: Taking taylor expansion of 1.0 in n 3.871 * [taylor]: Taking taylor expansion of (log n) in n 3.871 * [taylor]: Taking taylor expansion of n in n 3.872 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.872 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.872 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.872 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.872 * [taylor]: Taking taylor expansion of 1.0 in n 3.872 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.872 * [taylor]: Taking taylor expansion of -2.0 in n 3.874 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.874 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.874 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.874 * [taylor]: Taking taylor expansion of 1.0 in n 3.874 * [taylor]: Taking taylor expansion of (log PI) in n 3.874 * [taylor]: Taking taylor expansion of PI in n 3.882 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 3.882 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.882 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.882 * [taylor]: Taking taylor expansion of -1 in k 3.882 * [taylor]: Taking taylor expansion of k in k 3.884 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.884 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.884 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.884 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.884 * [taylor]: Taking taylor expansion of -0.5 in k 3.884 * [taylor]: Taking taylor expansion of k in k 3.884 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.884 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.884 * [taylor]: Taking taylor expansion of -2.0 in k 3.884 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.884 * [taylor]: Taking taylor expansion of PI in k 3.884 * [taylor]: Taking taylor expansion of n in k 3.884 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.884 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.884 * [taylor]: Taking taylor expansion of 0.5 in k 3.884 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.884 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.884 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.884 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (log n) in k 3.884 * [taylor]: Taking taylor expansion of n in k 3.885 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.885 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.885 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.885 * [taylor]: Taking taylor expansion of 1.0 in k 3.885 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.885 * [taylor]: Taking taylor expansion of -2.0 in k 3.886 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.886 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.886 * [taylor]: Taking taylor expansion of 1.0 in k 3.886 * [taylor]: Taking taylor expansion of (log PI) in k 3.886 * [taylor]: Taking taylor expansion of PI in k 3.894 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 3.895 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.895 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.895 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.895 * [taylor]: Taking taylor expansion of -1 in k 3.895 * [taylor]: Taking taylor expansion of k in k 3.896 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.896 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.896 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.896 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.896 * [taylor]: Taking taylor expansion of -0.5 in k 3.896 * [taylor]: Taking taylor expansion of k in k 3.896 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.896 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.896 * [taylor]: Taking taylor expansion of -2.0 in k 3.896 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.896 * [taylor]: Taking taylor expansion of PI in k 3.896 * [taylor]: Taking taylor expansion of n in k 3.897 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.897 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.897 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.897 * [taylor]: Taking taylor expansion of 0.5 in k 3.897 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.897 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.897 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.897 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.897 * [taylor]: Taking taylor expansion of 1.0 in k 3.897 * [taylor]: Taking taylor expansion of (log n) in k 3.897 * [taylor]: Taking taylor expansion of n in k 3.897 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.897 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.897 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.897 * [taylor]: Taking taylor expansion of 1.0 in k 3.897 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.897 * [taylor]: Taking taylor expansion of -2.0 in k 3.899 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.899 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.899 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.899 * [taylor]: Taking taylor expansion of 1.0 in k 3.899 * [taylor]: Taking taylor expansion of (log PI) in k 3.899 * [taylor]: Taking taylor expansion of PI in k 3.909 * [taylor]: Taking taylor expansion of 0 in n 3.931 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 3.931 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 3.931 * [taylor]: Taking taylor expansion of +nan.0 in n 3.931 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.931 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.931 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.931 * [taylor]: Taking taylor expansion of -0.5 in n 3.931 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.931 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.931 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.931 * [taylor]: Taking taylor expansion of -2.0 in n 3.931 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.932 * [taylor]: Taking taylor expansion of PI in n 3.932 * [taylor]: Taking taylor expansion of n in n 3.933 * [taylor]: Taking taylor expansion of k in n 3.937 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.937 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.937 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.937 * [taylor]: Taking taylor expansion of 0.5 in n 3.937 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.937 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.937 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.937 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.937 * [taylor]: Taking taylor expansion of 1.0 in n 3.937 * [taylor]: Taking taylor expansion of (log n) in n 3.937 * [taylor]: Taking taylor expansion of n in n 3.937 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.937 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.938 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.938 * [taylor]: Taking taylor expansion of 1.0 in n 3.938 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.938 * [taylor]: Taking taylor expansion of -2.0 in n 3.939 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.939 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.939 * [taylor]: Taking taylor expansion of 1.0 in n 3.939 * [taylor]: Taking taylor expansion of (log PI) in n 3.939 * [taylor]: Taking taylor expansion of PI in n 3.980 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 3.980 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 3.980 * [taylor]: Taking taylor expansion of +nan.0 in n 3.980 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.980 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.980 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.980 * [taylor]: Taking taylor expansion of -0.5 in n 3.980 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.980 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.980 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.980 * [taylor]: Taking taylor expansion of -2.0 in n 3.980 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.980 * [taylor]: Taking taylor expansion of PI in n 3.980 * [taylor]: Taking taylor expansion of n in n 3.982 * [taylor]: Taking taylor expansion of k in n 3.985 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.985 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.985 * [taylor]: Taking taylor expansion of 0.5 in n 3.985 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.985 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.986 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.986 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.986 * [taylor]: Taking taylor expansion of 1.0 in n 3.986 * [taylor]: Taking taylor expansion of (log n) in n 3.986 * [taylor]: Taking taylor expansion of n in n 3.986 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.986 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.986 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.986 * [taylor]: Taking taylor expansion of 1.0 in n 3.986 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.986 * [taylor]: Taking taylor expansion of -2.0 in n 3.988 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.988 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.988 * [taylor]: Taking taylor expansion of 1.0 in n 3.988 * [taylor]: Taking taylor expansion of (log PI) in n 3.988 * [taylor]: Taking taylor expansion of PI in n 4.067 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 4.067 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 4.067 * [taylor]: Taking taylor expansion of +nan.0 in n 4.067 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 4.067 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.067 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.067 * [taylor]: Taking taylor expansion of -0.5 in n 4.067 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.067 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.067 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.067 * [taylor]: Taking taylor expansion of -2.0 in n 4.067 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.067 * [taylor]: Taking taylor expansion of PI in n 4.067 * [taylor]: Taking taylor expansion of n in n 4.068 * [taylor]: Taking taylor expansion of k in n 4.072 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 4.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 4.072 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 4.072 * [taylor]: Taking taylor expansion of 0.5 in n 4.072 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 4.072 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 4.072 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.072 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.072 * [taylor]: Taking taylor expansion of 1.0 in n 4.072 * [taylor]: Taking taylor expansion of (log n) in n 4.072 * [taylor]: Taking taylor expansion of n in n 4.073 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.073 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.073 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.073 * [taylor]: Taking taylor expansion of 1.0 in n 4.073 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.073 * [taylor]: Taking taylor expansion of -2.0 in n 4.075 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.075 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.075 * [taylor]: Taking taylor expansion of 1.0 in n 4.075 * [taylor]: Taking taylor expansion of (log PI) in n 4.075 * [taylor]: Taking taylor expansion of PI in n 4.098 * * * [progress]: simplifying candidates 4.107 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) 1) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (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)) (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* k (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k) (pow (/ 1 (* (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))) k))) (pow k 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5)))))))) 4.117 * * [simplify]: iteration 0 : 825 enodes (cost 1290 ) 4.131 * * [simplify]: iteration 1 : 3494 enodes (cost 1114 ) 4.189 * * [simplify]: iteration 2 : 5001 enodes (cost 1114 ) 4.195 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* k (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))) (+ (* (pow (/ 1 (* (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))) k))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 2))))) (- (* +nan.0 (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))) (+ (* +nan.0 (- (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5)))) (- (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5))))) 4.196 * * * [progress]: adding candidates to table 4.436 * * [progress]: iteration 4 / 4 4.436 * * * [progress]: picking best candidate 4.464 * * * * [pick]: Picked # 4.464 * * * [progress]: localizing error 4.483 * * * [progress]: generating rewritten candidates 4.483 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.491 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 4.498 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.503 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 4.511 * * * [progress]: generating series expansions 4.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.512 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in (n k) around 0 4.512 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in k 4.512 * [taylor]: Taking taylor expansion of 1.0 in k 4.512 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 4.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.512 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.512 * [taylor]: Taking taylor expansion of k in k 4.513 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.513 * [taylor]: Taking taylor expansion of 0.5 in k 4.513 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.513 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.513 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.514 * [taylor]: Taking taylor expansion of 1.0 in k 4.514 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.514 * [taylor]: Taking taylor expansion of 2.0 in k 4.515 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.515 * [taylor]: Taking taylor expansion of 1.0 in k 4.515 * [taylor]: Taking taylor expansion of (log n) in k 4.515 * [taylor]: Taking taylor expansion of n in k 4.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.516 * [taylor]: Taking taylor expansion of 1.0 in k 4.516 * [taylor]: Taking taylor expansion of (log PI) in k 4.516 * [taylor]: Taking taylor expansion of PI in k 4.521 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.521 * [taylor]: Taking taylor expansion of 1.0 in n 4.521 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.521 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.521 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.521 * [taylor]: Taking taylor expansion of k in n 4.521 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.521 * [taylor]: Taking taylor expansion of 0.5 in n 4.521 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.521 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.521 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.521 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.521 * [taylor]: Taking taylor expansion of 1.0 in n 4.521 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.521 * [taylor]: Taking taylor expansion of 2.0 in n 4.523 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.523 * [taylor]: Taking taylor expansion of 1.0 in n 4.523 * [taylor]: Taking taylor expansion of (log n) in n 4.523 * [taylor]: Taking taylor expansion of n in n 4.524 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.524 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.524 * [taylor]: Taking taylor expansion of 1.0 in n 4.524 * [taylor]: Taking taylor expansion of (log PI) in n 4.524 * [taylor]: Taking taylor expansion of PI in n 4.530 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.530 * [taylor]: Taking taylor expansion of 1.0 in n 4.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.530 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.530 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.530 * [taylor]: Taking taylor expansion of k in n 4.530 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.530 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.530 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.530 * [taylor]: Taking taylor expansion of 0.5 in n 4.530 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.530 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.530 * [taylor]: Taking taylor expansion of 1.0 in n 4.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.530 * [taylor]: Taking taylor expansion of 2.0 in n 4.532 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.532 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.532 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.532 * [taylor]: Taking taylor expansion of 1.0 in n 4.532 * [taylor]: Taking taylor expansion of (log n) in n 4.532 * [taylor]: Taking taylor expansion of n in n 4.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.533 * [taylor]: Taking taylor expansion of 1.0 in n 4.533 * [taylor]: Taking taylor expansion of (log PI) in n 4.533 * [taylor]: Taking taylor expansion of PI in n 4.540 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.540 * [taylor]: Taking taylor expansion of 1.0 in k 4.540 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.540 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.540 * [taylor]: Taking taylor expansion of k in k 4.542 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.542 * [taylor]: Taking taylor expansion of 0.5 in k 4.542 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.542 * [taylor]: Taking taylor expansion of 1.0 in k 4.542 * [taylor]: Taking taylor expansion of (log PI) in k 4.542 * [taylor]: Taking taylor expansion of PI in k 4.544 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.544 * [taylor]: Taking taylor expansion of 1.0 in k 4.544 * [taylor]: Taking taylor expansion of (log n) in k 4.544 * [taylor]: Taking taylor expansion of n in k 4.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.544 * [taylor]: Taking taylor expansion of 1.0 in k 4.544 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.544 * [taylor]: Taking taylor expansion of 2.0 in k 4.568 * [taylor]: Taking taylor expansion of 0 in k 4.601 * [taylor]: Taking taylor expansion of 0 in k 4.655 * [taylor]: Taking taylor expansion of 0 in k 4.689 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.689 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.689 * [taylor]: Taking taylor expansion of 1.0 in k 4.689 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.689 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.689 * [taylor]: Taking taylor expansion of k in k 4.690 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.690 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.690 * [taylor]: Taking taylor expansion of 0.5 in k 4.690 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.690 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.690 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.690 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.690 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.690 * [taylor]: Taking taylor expansion of 1.0 in k 4.690 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.690 * [taylor]: Taking taylor expansion of 2.0 in k 4.692 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.692 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.692 * [taylor]: Taking taylor expansion of 1.0 in k 4.692 * [taylor]: Taking taylor expansion of (log PI) in k 4.692 * [taylor]: Taking taylor expansion of PI in k 4.694 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.694 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.694 * [taylor]: Taking taylor expansion of 1.0 in k 4.694 * [taylor]: Taking taylor expansion of (log n) in k 4.694 * [taylor]: Taking taylor expansion of n in k 4.701 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.701 * [taylor]: Taking taylor expansion of 1.0 in n 4.701 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.701 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.701 * [taylor]: Taking taylor expansion of k in n 4.701 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.701 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.701 * [taylor]: Taking taylor expansion of 0.5 in n 4.701 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.701 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.701 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.701 * [taylor]: Taking taylor expansion of 1.0 in n 4.701 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.701 * [taylor]: Taking taylor expansion of 2.0 in n 4.703 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [taylor]: Taking taylor expansion of (log PI) in n 4.703 * [taylor]: Taking taylor expansion of PI in n 4.705 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.705 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.705 * [taylor]: Taking taylor expansion of 1.0 in n 4.705 * [taylor]: Taking taylor expansion of (log n) in n 4.705 * [taylor]: Taking taylor expansion of n in n 4.712 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.712 * [taylor]: Taking taylor expansion of 1.0 in n 4.712 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.712 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.712 * [taylor]: Taking taylor expansion of k in n 4.712 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.712 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.712 * [taylor]: Taking taylor expansion of 0.5 in n 4.712 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.712 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.712 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.712 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.712 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.712 * [taylor]: Taking taylor expansion of 1.0 in n 4.712 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.712 * [taylor]: Taking taylor expansion of 2.0 in n 4.714 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.714 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.714 * [taylor]: Taking taylor expansion of 1.0 in n 4.714 * [taylor]: Taking taylor expansion of (log PI) in n 4.714 * [taylor]: Taking taylor expansion of PI in n 4.716 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.716 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.716 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.716 * [taylor]: Taking taylor expansion of 1.0 in n 4.716 * [taylor]: Taking taylor expansion of (log n) in n 4.716 * [taylor]: Taking taylor expansion of n in n 4.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.732 * [taylor]: Taking taylor expansion of 1.0 in k 4.732 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.732 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.733 * [taylor]: Taking taylor expansion of k in k 4.734 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.734 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.734 * [taylor]: Taking taylor expansion of 0.5 in k 4.734 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.734 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.734 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.734 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.734 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.734 * [taylor]: Taking taylor expansion of 1.0 in k 4.734 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.734 * [taylor]: Taking taylor expansion of 2.0 in k 4.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.736 * [taylor]: Taking taylor expansion of 1.0 in k 4.736 * [taylor]: Taking taylor expansion of (log PI) in k 4.736 * [taylor]: Taking taylor expansion of PI in k 4.738 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.738 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.738 * [taylor]: Taking taylor expansion of 1.0 in k 4.738 * [taylor]: Taking taylor expansion of (log n) in k 4.738 * [taylor]: Taking taylor expansion of n in k 4.762 * [taylor]: Taking taylor expansion of 0 in k 4.801 * [taylor]: Taking taylor expansion of 0 in k 4.864 * [taylor]: Taking taylor expansion of 0 in k 4.910 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.910 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.910 * [taylor]: Taking taylor expansion of 1.0 in k 4.910 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.910 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.910 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.911 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.911 * [taylor]: Taking taylor expansion of -1 in k 4.911 * [taylor]: Taking taylor expansion of k in k 4.912 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.912 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.912 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.912 * [taylor]: Taking taylor expansion of 0.5 in k 4.912 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.912 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.912 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.912 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.912 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.912 * [taylor]: Taking taylor expansion of 1.0 in k 4.912 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.912 * [taylor]: Taking taylor expansion of -2.0 in k 4.914 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.914 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.914 * [taylor]: Taking taylor expansion of 1.0 in k 4.914 * [taylor]: Taking taylor expansion of (log PI) in k 4.914 * [taylor]: Taking taylor expansion of PI in k 4.916 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.916 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.916 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.916 * [taylor]: Taking taylor expansion of 1.0 in k 4.916 * [taylor]: Taking taylor expansion of (log n) in k 4.916 * [taylor]: Taking taylor expansion of n in k 4.923 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.923 * [taylor]: Taking taylor expansion of 1.0 in n 4.923 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.923 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 4.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.923 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.923 * [taylor]: Taking taylor expansion of -1 in n 4.923 * [taylor]: Taking taylor expansion of k in n 4.923 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.923 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.923 * [taylor]: Taking taylor expansion of 0.5 in n 4.923 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.923 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.923 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.923 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.923 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.923 * [taylor]: Taking taylor expansion of 1.0 in n 4.923 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.923 * [taylor]: Taking taylor expansion of -2.0 in n 4.925 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.925 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.925 * [taylor]: Taking taylor expansion of 1.0 in n 4.925 * [taylor]: Taking taylor expansion of (log PI) in n 4.925 * [taylor]: Taking taylor expansion of PI in n 4.927 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.927 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.927 * [taylor]: Taking taylor expansion of 1.0 in n 4.927 * [taylor]: Taking taylor expansion of (log n) in n 4.927 * [taylor]: Taking taylor expansion of n in n 4.934 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.934 * [taylor]: Taking taylor expansion of 1.0 in n 4.934 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.934 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 4.934 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.934 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.934 * [taylor]: Taking taylor expansion of -1 in n 4.934 * [taylor]: Taking taylor expansion of k in n 4.934 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.934 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.934 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.934 * [taylor]: Taking taylor expansion of 0.5 in n 4.934 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.934 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.934 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.934 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.934 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.935 * [taylor]: Taking taylor expansion of 1.0 in n 4.935 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.935 * [taylor]: Taking taylor expansion of -2.0 in n 4.936 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.936 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.936 * [taylor]: Taking taylor expansion of 1.0 in n 4.936 * [taylor]: Taking taylor expansion of (log PI) in n 4.936 * [taylor]: Taking taylor expansion of PI in n 4.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.938 * [taylor]: Taking taylor expansion of 1.0 in n 4.938 * [taylor]: Taking taylor expansion of (log n) in n 4.938 * [taylor]: Taking taylor expansion of n in n 4.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.949 * [taylor]: Taking taylor expansion of 1.0 in k 4.949 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.949 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.949 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.949 * [taylor]: Taking taylor expansion of -1 in k 4.949 * [taylor]: Taking taylor expansion of k in k 4.950 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.950 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.951 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.951 * [taylor]: Taking taylor expansion of 0.5 in k 4.951 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.951 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.951 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.951 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.951 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.951 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.951 * [taylor]: Taking taylor expansion of 1.0 in k 4.951 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.951 * [taylor]: Taking taylor expansion of -2.0 in k 4.952 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.952 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.952 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.953 * [taylor]: Taking taylor expansion of 1.0 in k 4.953 * [taylor]: Taking taylor expansion of (log PI) in k 4.953 * [taylor]: Taking taylor expansion of PI in k 4.954 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.954 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.954 * [taylor]: Taking taylor expansion of 1.0 in k 4.955 * [taylor]: Taking taylor expansion of (log n) in k 4.955 * [taylor]: Taking taylor expansion of n in k 4.980 * [taylor]: Taking taylor expansion of 0 in k 5.032 * [taylor]: Taking taylor expansion of 0 in k 5.066 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 5.067 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.067 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.067 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.067 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.067 * [taylor]: Taking taylor expansion of 0.5 in n 5.067 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.067 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.067 * [taylor]: Taking taylor expansion of 2.0 in n 5.067 * [taylor]: Taking taylor expansion of (* n PI) in n 5.067 * [taylor]: Taking taylor expansion of n in n 5.067 * [taylor]: Taking taylor expansion of PI in n 5.072 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.073 * [taylor]: Taking taylor expansion of 0.5 in n 5.073 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.073 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.073 * [taylor]: Taking taylor expansion of 2.0 in n 5.073 * [taylor]: Taking taylor expansion of (* n PI) in n 5.073 * [taylor]: Taking taylor expansion of n in n 5.073 * [taylor]: Taking taylor expansion of PI in n 5.165 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.165 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.165 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.165 * [taylor]: Taking taylor expansion of 0.5 in n 5.165 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.165 * [taylor]: Taking taylor expansion of 2.0 in n 5.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.165 * [taylor]: Taking taylor expansion of PI in n 5.165 * [taylor]: Taking taylor expansion of n in n 5.168 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.169 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.169 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.169 * [taylor]: Taking taylor expansion of 0.5 in n 5.169 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.169 * [taylor]: Taking taylor expansion of 2.0 in n 5.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.169 * [taylor]: Taking taylor expansion of PI in n 5.169 * [taylor]: Taking taylor expansion of n in n 5.252 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.252 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.252 * [taylor]: Taking taylor expansion of 0.5 in n 5.252 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.252 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.252 * [taylor]: Taking taylor expansion of -2.0 in n 5.252 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.252 * [taylor]: Taking taylor expansion of PI in n 5.252 * [taylor]: Taking taylor expansion of n in n 5.256 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.256 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.256 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.256 * [taylor]: Taking taylor expansion of 0.5 in n 5.256 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.256 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.256 * [taylor]: Taking taylor expansion of -2.0 in n 5.256 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.256 * [taylor]: Taking taylor expansion of PI in n 5.256 * [taylor]: Taking taylor expansion of n in n 5.338 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.339 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.339 * [taylor]: Taking taylor expansion of 2.0 in n 5.339 * [taylor]: Taking taylor expansion of (* n PI) in n 5.339 * [taylor]: Taking taylor expansion of n in n 5.339 * [taylor]: Taking taylor expansion of PI in n 5.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.339 * [taylor]: Taking taylor expansion of 2.0 in n 5.339 * [taylor]: Taking taylor expansion of (* n PI) in n 5.339 * [taylor]: Taking taylor expansion of n in n 5.339 * [taylor]: Taking taylor expansion of PI in n 5.351 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.351 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.351 * [taylor]: Taking taylor expansion of 2.0 in n 5.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.352 * [taylor]: Taking taylor expansion of PI in n 5.352 * [taylor]: Taking taylor expansion of n in n 5.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.352 * [taylor]: Taking taylor expansion of 2.0 in n 5.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.352 * [taylor]: Taking taylor expansion of PI in n 5.352 * [taylor]: Taking taylor expansion of n in n 5.361 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.361 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.361 * [taylor]: Taking taylor expansion of -2.0 in n 5.361 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.361 * [taylor]: Taking taylor expansion of PI in n 5.361 * [taylor]: Taking taylor expansion of n in n 5.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.362 * [taylor]: Taking taylor expansion of -2.0 in n 5.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.362 * [taylor]: Taking taylor expansion of PI in n 5.362 * [taylor]: Taking taylor expansion of n in n 5.371 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 5.371 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.371 * [taylor]: Taking taylor expansion of 2.0 in n 5.371 * [taylor]: Taking taylor expansion of (* n PI) in n 5.371 * [taylor]: Taking taylor expansion of n in n 5.371 * [taylor]: Taking taylor expansion of PI in n 5.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.371 * [taylor]: Taking taylor expansion of 2.0 in n 5.371 * [taylor]: Taking taylor expansion of (* n PI) in n 5.371 * [taylor]: Taking taylor expansion of n in n 5.371 * [taylor]: Taking taylor expansion of PI in n 5.383 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.384 * [taylor]: Taking taylor expansion of 2.0 in n 5.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.384 * [taylor]: Taking taylor expansion of PI in n 5.384 * [taylor]: Taking taylor expansion of n in n 5.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.384 * [taylor]: Taking taylor expansion of 2.0 in n 5.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.384 * [taylor]: Taking taylor expansion of PI in n 5.384 * [taylor]: Taking taylor expansion of n in n 5.393 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.393 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.393 * [taylor]: Taking taylor expansion of -2.0 in n 5.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.393 * [taylor]: Taking taylor expansion of PI in n 5.393 * [taylor]: Taking taylor expansion of n in n 5.393 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.393 * [taylor]: Taking taylor expansion of -2.0 in n 5.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.393 * [taylor]: Taking taylor expansion of PI in n 5.393 * [taylor]: Taking taylor expansion of n in n 5.402 * * * [progress]: simplifying candidates 5.404 * [simplify]: Simplifying using # : (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 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) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (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)) 5.418 * * [simplify]: iteration 0 : 571 enodes (cost 716 ) 5.428 * * [simplify]: iteration 1 : 2401 enodes (cost 617 ) 5.470 * * [simplify]: iteration 2 : 5001 enodes (cost 613 ) 5.474 * [simplify]: Simplified to: (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 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 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- +nan.0 (* +nan.0 (pow k 2)))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (/ 1 (pow k 3))) (* +nan.0 (/ 1 (pow k 2))))) (- (* +nan.0 (* (/ 1 k) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (+ (* +nan.0 (- (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.474 * * * [progress]: adding candidates to table 5.691 * [progress]: [Phase 3 of 3] Extracting. 5.691 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 5.694 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.694 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 5.740 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 5.789 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 5.834 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 5.878 * * * [regime]: Found split indices: #