11.334 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.156 * * * [progress]: [2/2] Setting up program. 0.159 * [progress]: [Phase 2 of 3] Improving. 0.159 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.161 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.163 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.164 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.167 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.173 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.195 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.195 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.196 * * [progress]: iteration 1 / 4 0.196 * * * [progress]: picking best candidate 0.198 * * * * [pick]: Picked # 0.198 * * * [progress]: localizing error 0.216 * * * [progress]: generating rewritten candidates 0.216 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.226 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.230 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.235 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.252 * * * [progress]: generating series expansions 0.253 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.253 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.253 * [taylor]: Taking taylor expansion of 0.5 in k 0.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.253 * [taylor]: Taking taylor expansion of 1.0 in k 0.253 * [taylor]: Taking taylor expansion of k in k 0.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.254 * [taylor]: Taking taylor expansion of 2.0 in k 0.254 * [taylor]: Taking taylor expansion of (* n PI) in k 0.254 * [taylor]: Taking taylor expansion of n in k 0.254 * [taylor]: Taking taylor expansion of PI in k 0.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.255 * [taylor]: Taking taylor expansion of 0.5 in n 0.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.255 * [taylor]: Taking taylor expansion of 1.0 in n 0.255 * [taylor]: Taking taylor expansion of k in n 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.255 * [taylor]: Taking taylor expansion of 2.0 in n 0.255 * [taylor]: Taking taylor expansion of (* n PI) in n 0.255 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of PI in n 0.260 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.260 * [taylor]: Taking taylor expansion of 0.5 in n 0.260 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of k in n 0.260 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.260 * [taylor]: Taking taylor expansion of 2.0 in n 0.260 * [taylor]: Taking taylor expansion of (* n PI) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of PI in n 0.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.265 * [taylor]: Taking taylor expansion of 0.5 in k 0.265 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.265 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.265 * [taylor]: Taking taylor expansion of 1.0 in k 0.265 * [taylor]: Taking taylor expansion of k in k 0.266 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.266 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.266 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.266 * [taylor]: Taking taylor expansion of 2.0 in k 0.266 * [taylor]: Taking taylor expansion of PI in k 0.266 * [taylor]: Taking taylor expansion of (log n) in k 0.266 * [taylor]: Taking taylor expansion of n in k 0.275 * [taylor]: Taking taylor expansion of 0 in k 0.295 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.315 * [taylor]: Taking taylor expansion of 0.5 in k 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.315 * [taylor]: Taking taylor expansion of 1.0 in k 0.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.315 * [taylor]: Taking taylor expansion of k in k 0.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.315 * [taylor]: Taking taylor expansion of 2.0 in k 0.315 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.315 * [taylor]: Taking taylor expansion of PI in k 0.315 * [taylor]: Taking taylor expansion of n in k 0.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.317 * [taylor]: Taking taylor expansion of 0.5 in n 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.317 * [taylor]: Taking taylor expansion of 1.0 in n 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.317 * [taylor]: Taking taylor expansion of k in n 0.317 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.317 * [taylor]: Taking taylor expansion of 2.0 in n 0.317 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.317 * [taylor]: Taking taylor expansion of PI in n 0.317 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.321 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.321 * [taylor]: Taking taylor expansion of 2.0 in n 0.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.321 * [taylor]: Taking taylor expansion of PI in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.324 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.324 * [taylor]: Taking taylor expansion of 0.5 in k 0.324 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.324 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.324 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.324 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.324 * [taylor]: Taking taylor expansion of 2.0 in k 0.324 * [taylor]: Taking taylor expansion of PI in k 0.325 * [taylor]: Taking taylor expansion of (log n) in k 0.325 * [taylor]: Taking taylor expansion of n in k 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.342 * [taylor]: Taking taylor expansion of 0 in k 0.350 * [taylor]: Taking taylor expansion of 0 in k 0.352 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.352 * [taylor]: Taking taylor expansion of 0.5 in k 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.352 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.352 * [taylor]: Taking taylor expansion of -2.0 in k 0.352 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.352 * [taylor]: Taking taylor expansion of PI in k 0.352 * [taylor]: Taking taylor expansion of n in k 0.353 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.353 * [taylor]: Taking taylor expansion of 0.5 in n 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.353 * [taylor]: Taking taylor expansion of k in n 0.353 * [taylor]: Taking taylor expansion of 1.0 in n 0.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.353 * [taylor]: Taking taylor expansion of -2.0 in n 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.357 * [taylor]: Taking taylor expansion of 0.5 in n 0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.357 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.357 * [taylor]: Taking taylor expansion of k in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.357 * [taylor]: Taking taylor expansion of -2.0 in n 0.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.357 * [taylor]: Taking taylor expansion of PI in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.361 * [taylor]: Taking taylor expansion of 0.5 in k 0.361 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.361 * [taylor]: Taking taylor expansion of k in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.361 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.361 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.361 * [taylor]: Taking taylor expansion of -2.0 in k 0.361 * [taylor]: Taking taylor expansion of PI in k 0.362 * [taylor]: Taking taylor expansion of (log n) in k 0.362 * [taylor]: Taking taylor expansion of n in k 0.371 * [taylor]: Taking taylor expansion of 0 in k 0.380 * [taylor]: Taking taylor expansion of 0 in k 0.389 * [taylor]: Taking taylor expansion of 0 in k 0.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.390 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.390 * [taylor]: Taking taylor expansion of 1.0 in k 0.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.390 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.390 * [taylor]: Taking taylor expansion of k in k 0.392 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.392 * [taylor]: Taking taylor expansion of 1.0 in k 0.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.392 * [taylor]: Taking taylor expansion of k in k 0.403 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.403 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.403 * [taylor]: Taking taylor expansion of 1.0 in k 0.403 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.404 * [taylor]: Taking taylor expansion of 1.0 in k 0.404 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.404 * [taylor]: Taking taylor expansion of k in k 0.414 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.414 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.414 * [taylor]: Taking taylor expansion of 1.0 in k 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.414 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.414 * [taylor]: Taking taylor expansion of -1 in k 0.414 * [taylor]: Taking taylor expansion of k in k 0.415 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.415 * [taylor]: Taking taylor expansion of 1.0 in k 0.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.415 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.415 * [taylor]: Taking taylor expansion of -1 in k 0.415 * [taylor]: Taking taylor expansion of k in k 0.427 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.427 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.427 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.427 * [taylor]: Taking taylor expansion of 2.0 in n 0.427 * [taylor]: Taking taylor expansion of (* n PI) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.427 * [taylor]: Taking taylor expansion of PI in n 0.427 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.427 * [taylor]: Taking taylor expansion of 2.0 in n 0.427 * [taylor]: Taking taylor expansion of (* n PI) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.427 * [taylor]: Taking taylor expansion of PI in n 0.439 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.439 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.439 * [taylor]: Taking taylor expansion of PI in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.439 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.439 * [taylor]: Taking taylor expansion of PI in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.448 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.448 * [taylor]: Taking taylor expansion of -2.0 in n 0.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.448 * [taylor]: Taking taylor expansion of PI in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.448 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.448 * [taylor]: Taking taylor expansion of -2.0 in n 0.448 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.448 * [taylor]: Taking taylor expansion of PI in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.459 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.460 * [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 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.460 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.460 * [taylor]: Taking taylor expansion of k in n 0.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.460 * [taylor]: Taking taylor expansion of 0.5 in n 0.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of k in n 0.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.461 * [taylor]: Taking taylor expansion of 2.0 in n 0.461 * [taylor]: Taking taylor expansion of (* n PI) in n 0.461 * [taylor]: Taking taylor expansion of n in n 0.461 * [taylor]: Taking taylor expansion of PI in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.466 * [taylor]: Taking taylor expansion of 1.0 in k 0.466 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.466 * [taylor]: Taking taylor expansion of k in k 0.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.467 * [taylor]: Taking taylor expansion of 0.5 in k 0.467 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.467 * [taylor]: Taking taylor expansion of 1.0 in k 0.467 * [taylor]: Taking taylor expansion of k in k 0.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.467 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.467 * [taylor]: Taking taylor expansion of 2.0 in k 0.467 * [taylor]: Taking taylor expansion of (* n PI) in k 0.467 * [taylor]: Taking taylor expansion of n in k 0.467 * [taylor]: Taking taylor expansion of PI in k 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.468 * [taylor]: Taking taylor expansion of 1.0 in k 0.468 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.468 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.468 * [taylor]: Taking taylor expansion of k in k 0.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.470 * [taylor]: Taking taylor expansion of 0.5 in k 0.470 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.470 * [taylor]: Taking taylor expansion of 1.0 in k 0.470 * [taylor]: Taking taylor expansion of k in k 0.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.470 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.470 * [taylor]: Taking taylor expansion of 2.0 in k 0.470 * [taylor]: Taking taylor expansion of (* n PI) in k 0.470 * [taylor]: Taking taylor expansion of n in k 0.470 * [taylor]: Taking taylor expansion of PI in k 0.471 * [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 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [taylor]: Taking taylor expansion of (log PI) in n 0.477 * [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 0.479 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.479 * [taylor]: Taking taylor expansion of 2.0 in n 0.498 * [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 0.498 * [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 0.498 * [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 0.498 * [taylor]: Taking taylor expansion of +nan.0 in n 0.498 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.498 * [taylor]: Taking taylor expansion of 0.5 in n 0.498 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.498 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.498 * [taylor]: Taking taylor expansion of 1.0 in n 0.498 * [taylor]: Taking taylor expansion of (log PI) in n 0.498 * [taylor]: Taking taylor expansion of PI in n 0.500 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.500 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.500 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.500 * [taylor]: Taking taylor expansion of 1.0 in n 0.500 * [taylor]: Taking taylor expansion of (log n) in n 0.500 * [taylor]: Taking taylor expansion of n in n 0.501 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.501 * [taylor]: Taking taylor expansion of 2.0 in n 0.506 * [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 0.506 * [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 0.506 * [taylor]: Taking taylor expansion of +nan.0 in n 0.506 * [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 0.506 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.506 * [taylor]: Taking taylor expansion of 0.5 in n 0.506 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.506 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.506 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.506 * [taylor]: Taking taylor expansion of 2.0 in n 0.508 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.508 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (log PI) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.510 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log n) in n 0.510 * [taylor]: Taking taylor expansion of n in n 0.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.514 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [taylor]: Taking taylor expansion of (* n PI) in n 0.514 * [taylor]: Taking taylor expansion of n in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.567 * [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 0.567 * [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 0.567 * [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 0.567 * [taylor]: Taking taylor expansion of +nan.0 in n 0.567 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.567 * [taylor]: Taking taylor expansion of 0.5 in n 0.567 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.567 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.567 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.567 * [taylor]: Taking taylor expansion of 2.0 in n 0.569 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.569 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log n) in n 0.569 * [taylor]: Taking taylor expansion of n in n 0.569 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log PI) in n 0.569 * [taylor]: Taking taylor expansion of PI in n 0.575 * [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 0.575 * [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 0.575 * [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 0.575 * [taylor]: Taking taylor expansion of +nan.0 in n 0.575 * [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 0.575 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.575 * [taylor]: Taking taylor expansion of 0.5 in n 0.575 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.575 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.575 * [taylor]: Taking taylor expansion of 2.0 in n 0.577 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.577 * [taylor]: Taking taylor expansion of 1.0 in n 0.577 * [taylor]: Taking taylor expansion of (log PI) in n 0.577 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log n) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.586 * [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 0.586 * [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 0.586 * [taylor]: Taking taylor expansion of +nan.0 in n 0.586 * [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 0.586 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.586 * [taylor]: Taking taylor expansion of 0.5 in n 0.586 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.586 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.586 * [taylor]: Taking taylor expansion of 2.0 in n 0.588 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.588 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.588 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.588 * [taylor]: Taking taylor expansion of 1.0 in n 0.588 * [taylor]: Taking taylor expansion of (log PI) in n 0.588 * [taylor]: Taking taylor expansion of PI in n 0.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log n) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.594 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.594 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.594 * [taylor]: Taking taylor expansion of 2.0 in n 0.594 * [taylor]: Taking taylor expansion of (* n PI) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [taylor]: Taking taylor expansion of PI in n 0.670 * [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 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.671 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.671 * [taylor]: Taking taylor expansion of k in n 0.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.671 * [taylor]: Taking taylor expansion of 0.5 in n 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.671 * [taylor]: Taking taylor expansion of k in n 0.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.671 * [taylor]: Taking taylor expansion of 2.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.671 * [taylor]: Taking taylor expansion of PI in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.674 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.675 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.675 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.676 * [taylor]: Taking taylor expansion of 0.5 in k 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.676 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.676 * [taylor]: Taking taylor expansion of 2.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.676 * [taylor]: Taking taylor expansion of PI in k 0.676 * [taylor]: Taking taylor expansion of n in k 0.677 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.677 * [taylor]: Taking taylor expansion of 1.0 in k 0.677 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.677 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.677 * [taylor]: Taking taylor expansion of k in k 0.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.678 * [taylor]: Taking taylor expansion of 0.5 in k 0.678 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.678 * [taylor]: Taking taylor expansion of 1.0 in k 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.678 * [taylor]: Taking taylor expansion of k in k 0.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.679 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.679 * [taylor]: Taking taylor expansion of 2.0 in k 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.679 * [taylor]: Taking taylor expansion of PI in k 0.679 * [taylor]: Taking taylor expansion of n in k 0.680 * [taylor]: Taking taylor expansion of 0 in n 0.681 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.681 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.681 * [taylor]: Taking taylor expansion of +nan.0 in n 0.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.681 * [taylor]: Taking taylor expansion of 0.5 in n 0.681 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.681 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.681 * [taylor]: Taking taylor expansion of 2.0 in n 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.681 * [taylor]: Taking taylor expansion of PI in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.683 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.691 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.691 * [taylor]: Taking taylor expansion of +nan.0 in n 0.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.691 * [taylor]: Taking taylor expansion of 2.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.692 * [taylor]: Taking taylor expansion of 1.0 in n 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.692 * [taylor]: Taking taylor expansion of k in n 0.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.709 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.709 * [taylor]: Taking taylor expansion of +nan.0 in n 0.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.709 * [taylor]: Taking taylor expansion of 0.5 in n 0.709 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.709 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.710 * [taylor]: Taking taylor expansion of k in n 0.723 * [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 0.723 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.723 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.723 * [taylor]: Taking taylor expansion of 0.5 in n 0.723 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 0.724 * [taylor]: Taking taylor expansion of 1.0 in n 0.724 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.724 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.724 * [taylor]: Taking taylor expansion of -2.0 in n 0.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.724 * [taylor]: Taking taylor expansion of PI in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.727 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.727 * [taylor]: Taking taylor expansion of -1 in n 0.727 * [taylor]: Taking taylor expansion of k in n 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.728 * [taylor]: Taking taylor expansion of 1.0 in k 0.728 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.728 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.728 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.728 * [taylor]: Taking taylor expansion of 0.5 in k 0.728 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.728 * [taylor]: Taking taylor expansion of k in k 0.729 * [taylor]: Taking taylor expansion of 1.0 in k 0.729 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.729 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.729 * [taylor]: Taking taylor expansion of -2.0 in k 0.729 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.729 * [taylor]: Taking taylor expansion of PI in k 0.729 * [taylor]: Taking taylor expansion of n in k 0.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.729 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.729 * [taylor]: Taking taylor expansion of -1 in k 0.730 * [taylor]: Taking taylor expansion of k in k 0.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.731 * [taylor]: Taking taylor expansion of 1.0 in k 0.731 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.731 * [taylor]: Taking taylor expansion of 0.5 in k 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.731 * [taylor]: Taking taylor expansion of k in k 0.731 * [taylor]: Taking taylor expansion of 1.0 in k 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.731 * [taylor]: Taking taylor expansion of -2.0 in k 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.731 * [taylor]: Taking taylor expansion of PI in k 0.731 * [taylor]: Taking taylor expansion of n in k 0.732 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.732 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.732 * [taylor]: Taking taylor expansion of -1 in k 0.732 * [taylor]: Taking taylor expansion of k in k 0.734 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.734 * [taylor]: Taking taylor expansion of +nan.0 in n 0.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.734 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.734 * [taylor]: Taking taylor expansion of 0.5 in n 0.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.734 * [taylor]: Taking taylor expansion of k in n 0.734 * [taylor]: Taking taylor expansion of 1.0 in n 0.734 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.734 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.734 * [taylor]: Taking taylor expansion of -2.0 in n 0.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.734 * [taylor]: Taking taylor expansion of PI in n 0.734 * [taylor]: Taking taylor expansion of n in n 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 (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 0.761 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.761 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.761 * [taylor]: Taking taylor expansion of +nan.0 in n 0.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.761 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.761 * [taylor]: Taking taylor expansion of 0.5 in n 0.761 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.761 * [taylor]: Taking taylor expansion of k in n 0.761 * [taylor]: Taking taylor expansion of 1.0 in n 0.761 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.761 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.761 * [taylor]: Taking taylor expansion of -2.0 in n 0.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.761 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.770 * * * [progress]: simplifying candidates 0.773 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (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))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.873 * * * [progress]: adding candidates to table 1.288 * * [progress]: iteration 2 / 4 1.288 * * * [progress]: picking best candidate 1.334 * * * * [pick]: Picked # 1.334 * * * [progress]: localizing error 1.352 * * * [progress]: generating rewritten candidates 1.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.358 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.365 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.370 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.378 * * * [progress]: generating series expansions 1.378 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.379 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.379 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.379 * [taylor]: Taking taylor expansion of 0.5 in n 1.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.379 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.380 * [taylor]: Taking taylor expansion of 2.0 in n 1.380 * [taylor]: Taking taylor expansion of (* n PI) in n 1.380 * [taylor]: Taking taylor expansion of n in n 1.380 * [taylor]: Taking taylor expansion of PI in n 1.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.385 * [taylor]: Taking taylor expansion of 0.5 in n 1.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.385 * [taylor]: Taking taylor expansion of 2.0 in n 1.385 * [taylor]: Taking taylor expansion of (* n PI) in n 1.385 * [taylor]: Taking taylor expansion of n in n 1.385 * [taylor]: Taking taylor expansion of PI in n 1.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.465 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.465 * [taylor]: Taking taylor expansion of 0.5 in n 1.465 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.465 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.465 * [taylor]: Taking taylor expansion of 2.0 in n 1.465 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.465 * [taylor]: Taking taylor expansion of PI in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.469 * [taylor]: Taking taylor expansion of 0.5 in n 1.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.469 * [taylor]: Taking taylor expansion of 2.0 in n 1.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.547 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.547 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.547 * [taylor]: Taking taylor expansion of 0.5 in n 1.547 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.547 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.547 * [taylor]: Taking taylor expansion of -2.0 in n 1.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.547 * [taylor]: Taking taylor expansion of PI in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.551 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.551 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.551 * [taylor]: Taking taylor expansion of 0.5 in n 1.551 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.551 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.551 * [taylor]: Taking taylor expansion of -2.0 in n 1.551 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.551 * [taylor]: Taking taylor expansion of PI in n 1.551 * [taylor]: Taking taylor expansion of n in n 1.628 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.629 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.629 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.629 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.629 * [taylor]: Taking taylor expansion of 0.5 in k 1.629 * [taylor]: Taking taylor expansion of k in k 1.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.629 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.629 * [taylor]: Taking taylor expansion of 2.0 in k 1.629 * [taylor]: Taking taylor expansion of (* n PI) in k 1.629 * [taylor]: Taking taylor expansion of n in k 1.629 * [taylor]: Taking taylor expansion of PI in k 1.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.632 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.632 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.632 * [taylor]: Taking taylor expansion of 0.5 in n 1.632 * [taylor]: Taking taylor expansion of k in n 1.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.632 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.632 * [taylor]: Taking taylor expansion of 2.0 in n 1.632 * [taylor]: Taking taylor expansion of (* n PI) in n 1.632 * [taylor]: Taking taylor expansion of n in n 1.632 * [taylor]: Taking taylor expansion of PI in n 1.637 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.637 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.637 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.637 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.637 * [taylor]: Taking taylor expansion of 0.5 in n 1.637 * [taylor]: Taking taylor expansion of k in n 1.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.637 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.637 * [taylor]: Taking taylor expansion of 2.0 in n 1.637 * [taylor]: Taking taylor expansion of (* n PI) in n 1.637 * [taylor]: Taking taylor expansion of n in n 1.637 * [taylor]: Taking taylor expansion of PI in n 1.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.648 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.648 * [taylor]: Taking taylor expansion of 0.5 in k 1.648 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.648 * [taylor]: Taking taylor expansion of k in k 1.648 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.648 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.648 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.648 * [taylor]: Taking taylor expansion of 2.0 in k 1.648 * [taylor]: Taking taylor expansion of PI in k 1.649 * [taylor]: Taking taylor expansion of (log n) in k 1.649 * [taylor]: Taking taylor expansion of n in k 1.659 * [taylor]: Taking taylor expansion of 0 in k 1.668 * [taylor]: Taking taylor expansion of 0 in k 1.682 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.682 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.682 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.682 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.682 * [taylor]: Taking taylor expansion of 0.5 in k 1.682 * [taylor]: Taking taylor expansion of k in k 1.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.682 * [taylor]: Taking taylor expansion of 2.0 in k 1.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.682 * [taylor]: Taking taylor expansion of PI in k 1.682 * [taylor]: Taking taylor expansion of n in k 1.683 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.683 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.683 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.683 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.683 * [taylor]: Taking taylor expansion of 0.5 in n 1.683 * [taylor]: Taking taylor expansion of k in n 1.683 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.683 * [taylor]: Taking taylor expansion of 2.0 in n 1.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.683 * [taylor]: Taking taylor expansion of PI in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.686 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.686 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.686 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.686 * [taylor]: Taking taylor expansion of 0.5 in n 1.686 * [taylor]: Taking taylor expansion of k in n 1.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.686 * [taylor]: Taking taylor expansion of 2.0 in n 1.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.687 * [taylor]: Taking taylor expansion of PI in n 1.687 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.690 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.690 * [taylor]: Taking taylor expansion of 0.5 in k 1.690 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.690 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.690 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.690 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.690 * [taylor]: Taking taylor expansion of 2.0 in k 1.690 * [taylor]: Taking taylor expansion of PI in k 1.691 * [taylor]: Taking taylor expansion of (log n) in k 1.691 * [taylor]: Taking taylor expansion of n in k 1.691 * [taylor]: Taking taylor expansion of k in k 1.699 * [taylor]: Taking taylor expansion of 0 in k 1.705 * [taylor]: Taking taylor expansion of 0 in k 1.712 * [taylor]: Taking taylor expansion of 0 in k 1.714 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.714 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.714 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.714 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.714 * [taylor]: Taking taylor expansion of -0.5 in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.714 * [taylor]: Taking taylor expansion of -2.0 in k 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.714 * [taylor]: Taking taylor expansion of PI in k 1.714 * [taylor]: Taking taylor expansion of n in k 1.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.714 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.714 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.714 * [taylor]: Taking taylor expansion of -0.5 in n 1.714 * [taylor]: Taking taylor expansion of k in n 1.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of -2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.715 * [taylor]: Taking taylor expansion of PI in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.718 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.718 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.718 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.718 * [taylor]: Taking taylor expansion of -0.5 in n 1.718 * [taylor]: Taking taylor expansion of k in n 1.718 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.718 * [taylor]: Taking taylor expansion of -2.0 in n 1.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.718 * [taylor]: Taking taylor expansion of PI in n 1.718 * [taylor]: Taking taylor expansion of n in n 1.722 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.722 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.722 * [taylor]: Taking taylor expansion of -0.5 in k 1.722 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.722 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.722 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.722 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.722 * [taylor]: Taking taylor expansion of -2.0 in k 1.722 * [taylor]: Taking taylor expansion of PI in k 1.723 * [taylor]: Taking taylor expansion of (log n) in k 1.723 * [taylor]: Taking taylor expansion of n in k 1.723 * [taylor]: Taking taylor expansion of k in k 1.736 * [taylor]: Taking taylor expansion of 0 in k 1.742 * [taylor]: Taking taylor expansion of 0 in k 1.749 * [taylor]: Taking taylor expansion of 0 in k 1.750 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.751 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [taylor]: Taking taylor expansion of (* n PI) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.751 * [taylor]: Taking taylor expansion of PI in n 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [taylor]: Taking taylor expansion of (* n PI) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.751 * [taylor]: Taking taylor expansion of PI in n 1.763 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.763 * [taylor]: Taking taylor expansion of 2.0 in n 1.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.763 * [taylor]: Taking taylor expansion of PI in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.763 * [taylor]: Taking taylor expansion of 2.0 in n 1.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.763 * [taylor]: Taking taylor expansion of PI in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.772 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.772 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.772 * [taylor]: Taking taylor expansion of -2.0 in n 1.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.773 * [taylor]: Taking taylor expansion of -2.0 in n 1.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.781 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.781 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.782 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.782 * [taylor]: Taking taylor expansion of 2.0 in n 1.782 * [taylor]: Taking taylor expansion of (* n PI) in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.782 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.782 * [taylor]: Taking taylor expansion of 2.0 in n 1.782 * [taylor]: Taking taylor expansion of (* n PI) in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.793 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.793 * [taylor]: Taking taylor expansion of 2.0 in n 1.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.793 * [taylor]: Taking taylor expansion of PI in n 1.793 * [taylor]: Taking taylor expansion of n in n 1.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.794 * [taylor]: Taking taylor expansion of 2.0 in n 1.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.794 * [taylor]: Taking taylor expansion of PI in n 1.794 * [taylor]: Taking taylor expansion of n in n 1.802 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.802 * [taylor]: Taking taylor expansion of -2.0 in n 1.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.802 * [taylor]: Taking taylor expansion of PI in n 1.802 * [taylor]: Taking taylor expansion of n in n 1.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.803 * [taylor]: Taking taylor expansion of -2.0 in n 1.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.803 * [taylor]: Taking taylor expansion of PI in n 1.803 * [taylor]: Taking taylor expansion of n in n 1.817 * * * [progress]: simplifying candidates 1.818 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (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) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (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))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.824 * * [simplify]: iteration 0 : 463 enodes (cost 557 ) 1.832 * * [simplify]: iteration 1 : 1809 enodes (cost 510 ) 1.864 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 1.868 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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 (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (fma 1 1 (fma (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)) (fma (* (* 0.25 (pow k 2)) (log n)) (log (* 2.0 PI)) (* (* 0.5 k) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.868 * * * [progress]: adding candidates to table 2.129 * * [progress]: iteration 3 / 4 2.130 * * * [progress]: picking best candidate 2.172 * * * * [pick]: Picked # 2.172 * * * [progress]: localizing error 2.190 * * * [progress]: generating rewritten candidates 2.190 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.205 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 2.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.216 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.229 * * * [progress]: generating series expansions 2.229 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.230 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 2.230 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.230 * [taylor]: Taking taylor expansion of 1.0 in n 2.230 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.230 * [taylor]: Taking taylor expansion of k in n 2.230 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.230 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.230 * [taylor]: Taking taylor expansion of 0.5 in n 2.230 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.230 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.231 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.231 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.231 * [taylor]: Taking taylor expansion of 1.0 in n 2.231 * [taylor]: Taking taylor expansion of (log PI) in n 2.231 * [taylor]: Taking taylor expansion of PI in n 2.232 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.232 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.233 * [taylor]: Taking taylor expansion of 1.0 in n 2.233 * [taylor]: Taking taylor expansion of (log n) in n 2.233 * [taylor]: Taking taylor expansion of n in n 2.233 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.233 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.233 * [taylor]: Taking taylor expansion of 1.0 in n 2.233 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.233 * [taylor]: Taking taylor expansion of 2.0 in n 2.238 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.238 * [taylor]: Taking taylor expansion of 1.0 in k 2.238 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.238 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.238 * [taylor]: Taking taylor expansion of k in k 2.240 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.240 * [taylor]: Taking taylor expansion of 0.5 in k 2.240 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.240 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.240 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.240 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.240 * [taylor]: Taking taylor expansion of 1.0 in k 2.240 * [taylor]: Taking taylor expansion of (log PI) in k 2.240 * [taylor]: Taking taylor expansion of PI in k 2.242 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.242 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.242 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.242 * [taylor]: Taking taylor expansion of 1.0 in k 2.242 * [taylor]: Taking taylor expansion of (log n) in k 2.242 * [taylor]: Taking taylor expansion of n in k 2.242 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.242 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.242 * [taylor]: Taking taylor expansion of 1.0 in k 2.242 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.242 * [taylor]: Taking taylor expansion of 2.0 in k 2.247 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.247 * [taylor]: Taking taylor expansion of 1.0 in k 2.247 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.247 * [taylor]: Taking taylor expansion of k in k 2.249 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.249 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.249 * [taylor]: Taking taylor expansion of 0.5 in k 2.249 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.249 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.249 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.249 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.249 * [taylor]: Taking taylor expansion of 1.0 in k 2.249 * [taylor]: Taking taylor expansion of (log PI) in k 2.249 * [taylor]: Taking taylor expansion of PI in k 2.251 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.251 * [taylor]: Taking taylor expansion of 1.0 in k 2.251 * [taylor]: Taking taylor expansion of (log n) in k 2.251 * [taylor]: Taking taylor expansion of n in k 2.251 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.251 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.251 * [taylor]: Taking taylor expansion of 1.0 in k 2.251 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.251 * [taylor]: Taking taylor expansion of 2.0 in k 2.257 * [taylor]: Taking taylor expansion of 0 in n 2.269 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.270 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.270 * [taylor]: Taking taylor expansion of +nan.0 in n 2.270 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.270 * [taylor]: Taking taylor expansion of 0.5 in n 2.270 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.270 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.270 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.270 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.270 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.270 * [taylor]: Taking taylor expansion of 1.0 in n 2.270 * [taylor]: Taking taylor expansion of (log PI) in n 2.270 * [taylor]: Taking taylor expansion of PI in n 2.272 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.272 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.272 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.272 * [taylor]: Taking taylor expansion of 1.0 in n 2.272 * [taylor]: Taking taylor expansion of (log n) in n 2.272 * [taylor]: Taking taylor expansion of n in n 2.272 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.272 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.272 * [taylor]: Taking taylor expansion of 1.0 in n 2.272 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.272 * [taylor]: Taking taylor expansion of 2.0 in n 2.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.306 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.306 * [taylor]: Taking taylor expansion of +nan.0 in n 2.306 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.306 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.306 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.306 * [taylor]: Taking taylor expansion of 0.5 in n 2.306 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.306 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.306 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.306 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.306 * [taylor]: Taking taylor expansion of 1.0 in n 2.306 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.307 * [taylor]: Taking taylor expansion of 2.0 in n 2.308 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.308 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.308 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.308 * [taylor]: Taking taylor expansion of 1.0 in n 2.308 * [taylor]: Taking taylor expansion of (log n) in n 2.308 * [taylor]: Taking taylor expansion of n in n 2.309 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.309 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.309 * [taylor]: Taking taylor expansion of 1.0 in n 2.309 * [taylor]: Taking taylor expansion of (log PI) in n 2.309 * [taylor]: Taking taylor expansion of PI in n 2.356 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.356 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.356 * [taylor]: Taking taylor expansion of +nan.0 in n 2.356 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.356 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.356 * [taylor]: Taking taylor expansion of 0.5 in n 2.356 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.356 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.356 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.356 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.356 * [taylor]: Taking taylor expansion of 1.0 in n 2.356 * [taylor]: Taking taylor expansion of (log PI) in n 2.356 * [taylor]: Taking taylor expansion of PI in n 2.358 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.358 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.358 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.358 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.358 * [taylor]: Taking taylor expansion of 1.0 in n 2.358 * [taylor]: Taking taylor expansion of (log n) in n 2.358 * [taylor]: Taking taylor expansion of n in n 2.359 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.359 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.359 * [taylor]: Taking taylor expansion of 1.0 in n 2.359 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.359 * [taylor]: Taking taylor expansion of 2.0 in n 2.370 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 2.370 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 2.370 * [taylor]: Taking taylor expansion of 1.0 in n 2.370 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 2.370 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.370 * [taylor]: Taking taylor expansion of k in n 2.370 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.370 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.370 * [taylor]: Taking taylor expansion of 0.5 in n 2.370 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.370 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.370 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.370 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.370 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.370 * [taylor]: Taking taylor expansion of 1.0 in n 2.370 * [taylor]: Taking taylor expansion of (log PI) in n 2.370 * [taylor]: Taking taylor expansion of PI in n 2.378 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.378 * [taylor]: Taking taylor expansion of 1.0 in n 2.378 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.378 * [taylor]: Taking taylor expansion of 2.0 in n 2.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.380 * [taylor]: Taking taylor expansion of 1.0 in n 2.380 * [taylor]: Taking taylor expansion of (log n) in n 2.380 * [taylor]: Taking taylor expansion of n in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 2.387 * [taylor]: Taking taylor expansion of 1.0 in k 2.387 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 2.387 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.387 * [taylor]: Taking taylor expansion of k in k 2.388 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.388 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.388 * [taylor]: Taking taylor expansion of 0.5 in k 2.388 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.388 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.388 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.388 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.388 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.388 * [taylor]: Taking taylor expansion of 1.0 in k 2.388 * [taylor]: Taking taylor expansion of (log PI) in k 2.388 * [taylor]: Taking taylor expansion of PI in k 2.390 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.390 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.390 * [taylor]: Taking taylor expansion of 1.0 in k 2.390 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.390 * [taylor]: Taking taylor expansion of 2.0 in k 2.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.392 * [taylor]: Taking taylor expansion of 1.0 in k 2.392 * [taylor]: Taking taylor expansion of (log n) in k 2.392 * [taylor]: Taking taylor expansion of n in k 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 2.398 * [taylor]: Taking taylor expansion of 1.0 in k 2.398 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 2.398 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.398 * [taylor]: Taking taylor expansion of k in k 2.399 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.399 * [taylor]: Taking taylor expansion of 0.5 in k 2.399 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.399 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.399 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.399 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.399 * [taylor]: Taking taylor expansion of 1.0 in k 2.399 * [taylor]: Taking taylor expansion of (log PI) in k 2.399 * [taylor]: Taking taylor expansion of PI in k 2.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.401 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.401 * [taylor]: Taking taylor expansion of 1.0 in k 2.401 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.401 * [taylor]: Taking taylor expansion of 2.0 in k 2.403 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.403 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.403 * [taylor]: Taking taylor expansion of 1.0 in k 2.403 * [taylor]: Taking taylor expansion of (log n) in k 2.403 * [taylor]: Taking taylor expansion of n in k 2.411 * [taylor]: Taking taylor expansion of 0 in n 2.426 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.426 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.426 * [taylor]: Taking taylor expansion of +nan.0 in n 2.426 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.426 * [taylor]: Taking taylor expansion of 0.5 in n 2.426 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.427 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.427 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.427 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.427 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.427 * [taylor]: Taking taylor expansion of 1.0 in n 2.427 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.427 * [taylor]: Taking taylor expansion of 2.0 in n 2.428 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.429 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.429 * [taylor]: Taking taylor expansion of 1.0 in n 2.429 * [taylor]: Taking taylor expansion of (log PI) in n 2.429 * [taylor]: Taking taylor expansion of PI in n 2.430 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.430 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.430 * [taylor]: Taking taylor expansion of 1.0 in n 2.430 * [taylor]: Taking taylor expansion of (log n) in n 2.430 * [taylor]: Taking taylor expansion of n in n 2.471 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 2.471 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 2.471 * [taylor]: Taking taylor expansion of +nan.0 in n 2.471 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.471 * [taylor]: Taking taylor expansion of 0.5 in n 2.471 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.471 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.471 * [taylor]: Taking taylor expansion of 1.0 in n 2.471 * [taylor]: Taking taylor expansion of (log PI) in n 2.471 * [taylor]: Taking taylor expansion of PI in n 2.473 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.473 * [taylor]: Taking taylor expansion of 1.0 in n 2.473 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.473 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.475 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.475 * [taylor]: Taking taylor expansion of 1.0 in n 2.475 * [taylor]: Taking taylor expansion of (log n) in n 2.475 * [taylor]: Taking taylor expansion of n in n 2.531 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.531 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.531 * [taylor]: Taking taylor expansion of +nan.0 in n 2.531 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.531 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.531 * [taylor]: Taking taylor expansion of 0.5 in n 2.531 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.531 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.531 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.531 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.531 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.531 * [taylor]: Taking taylor expansion of 1.0 in n 2.531 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.531 * [taylor]: Taking taylor expansion of 2.0 in n 2.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.533 * [taylor]: Taking taylor expansion of 1.0 in n 2.533 * [taylor]: Taking taylor expansion of (log PI) in n 2.533 * [taylor]: Taking taylor expansion of PI in n 2.535 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.535 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.535 * [taylor]: Taking taylor expansion of 1.0 in n 2.535 * [taylor]: Taking taylor expansion of (log n) in n 2.535 * [taylor]: Taking taylor expansion of n in n 2.556 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 2.556 * [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 2.556 * [taylor]: Taking taylor expansion of 1.0 in n 2.556 * [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 2.556 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 2.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.556 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.556 * [taylor]: Taking taylor expansion of -1 in n 2.556 * [taylor]: Taking taylor expansion of k in n 2.557 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.557 * [taylor]: Taking taylor expansion of 0.5 in n 2.557 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.557 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.557 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.557 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.557 * [taylor]: Taking taylor expansion of -2.0 in n 2.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.559 * [taylor]: Taking taylor expansion of 1.0 in n 2.559 * [taylor]: Taking taylor expansion of (log PI) in n 2.559 * [taylor]: Taking taylor expansion of PI in n 2.560 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.561 * [taylor]: Taking taylor expansion of 1.0 in n 2.561 * [taylor]: Taking taylor expansion of (log n) in n 2.561 * [taylor]: Taking taylor expansion of n in n 2.567 * [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 2.567 * [taylor]: Taking taylor expansion of 1.0 in k 2.567 * [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 2.567 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.567 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.567 * [taylor]: Taking taylor expansion of -1 in k 2.567 * [taylor]: Taking taylor expansion of k in k 2.569 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.569 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.569 * [taylor]: Taking taylor expansion of 0.5 in k 2.569 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.569 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.569 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.569 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.569 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.569 * [taylor]: Taking taylor expansion of 1.0 in k 2.569 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.569 * [taylor]: Taking taylor expansion of -2.0 in k 2.571 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.571 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.571 * [taylor]: Taking taylor expansion of 1.0 in k 2.571 * [taylor]: Taking taylor expansion of (log PI) in k 2.571 * [taylor]: Taking taylor expansion of PI in k 2.573 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.573 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.573 * [taylor]: Taking taylor expansion of 1.0 in k 2.573 * [taylor]: Taking taylor expansion of (log n) in k 2.573 * [taylor]: Taking taylor expansion of n in k 2.579 * [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 2.580 * [taylor]: Taking taylor expansion of 1.0 in k 2.580 * [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 2.580 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.580 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.580 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.580 * [taylor]: Taking taylor expansion of -1 in k 2.580 * [taylor]: Taking taylor expansion of k in k 2.581 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.581 * [taylor]: Taking taylor expansion of 0.5 in k 2.581 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.581 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.581 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.581 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.581 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.581 * [taylor]: Taking taylor expansion of 1.0 in k 2.581 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.581 * [taylor]: Taking taylor expansion of -2.0 in k 2.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (log PI) in k 2.583 * [taylor]: Taking taylor expansion of PI in k 2.585 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.585 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.585 * [taylor]: Taking taylor expansion of 1.0 in k 2.585 * [taylor]: Taking taylor expansion of (log n) in k 2.585 * [taylor]: Taking taylor expansion of n in k 2.594 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.594 * [taylor]: Taking taylor expansion of +nan.0 in n 2.594 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.594 * [taylor]: Taking taylor expansion of 0.5 in n 2.594 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.594 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.594 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.594 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.594 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.594 * [taylor]: Taking taylor expansion of 1.0 in n 2.594 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.594 * [taylor]: Taking taylor expansion of -2.0 in n 2.596 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.596 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.596 * [taylor]: Taking taylor expansion of 1.0 in n 2.596 * [taylor]: Taking taylor expansion of (log PI) in n 2.596 * [taylor]: Taking taylor expansion of PI in n 2.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.598 * [taylor]: Taking taylor expansion of 1.0 in n 2.598 * [taylor]: Taking taylor expansion of (log n) in n 2.598 * [taylor]: Taking taylor expansion of n in n 2.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.627 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.627 * [taylor]: Taking taylor expansion of +nan.0 in n 2.627 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.627 * [taylor]: Taking taylor expansion of 0.5 in n 2.627 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.627 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.627 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.627 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.627 * [taylor]: Taking taylor expansion of -2.0 in n 2.629 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.629 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.629 * [taylor]: Taking taylor expansion of 1.0 in n 2.629 * [taylor]: Taking taylor expansion of (log PI) in n 2.629 * [taylor]: Taking taylor expansion of PI in n 2.631 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.631 * [taylor]: Taking taylor expansion of 1.0 in n 2.631 * [taylor]: Taking taylor expansion of (log n) in n 2.631 * [taylor]: Taking taylor expansion of n in n 2.690 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.690 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.690 * [taylor]: Taking taylor expansion of +nan.0 in n 2.690 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.690 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.690 * [taylor]: Taking taylor expansion of 0.5 in n 2.690 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.690 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.690 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.690 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.690 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.690 * [taylor]: Taking taylor expansion of 1.0 in n 2.690 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.690 * [taylor]: Taking taylor expansion of -2.0 in n 2.692 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.692 * [taylor]: Taking taylor expansion of 1.0 in n 2.692 * [taylor]: Taking taylor expansion of (log PI) in n 2.692 * [taylor]: Taking taylor expansion of PI in n 2.694 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.694 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (log n) in n 2.694 * [taylor]: Taking taylor expansion of n in n 2.709 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 2.709 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.709 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.709 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.710 * [taylor]: Taking taylor expansion of 0.5 in n 2.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.710 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.710 * [taylor]: Taking taylor expansion of 2.0 in n 2.710 * [taylor]: Taking taylor expansion of (* n PI) in n 2.710 * [taylor]: Taking taylor expansion of n in n 2.710 * [taylor]: Taking taylor expansion of PI in n 2.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.715 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.715 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.715 * [taylor]: Taking taylor expansion of 0.5 in n 2.715 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.715 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.715 * [taylor]: Taking taylor expansion of 2.0 in n 2.715 * [taylor]: Taking taylor expansion of (* n PI) in n 2.715 * [taylor]: Taking taylor expansion of n in n 2.715 * [taylor]: Taking taylor expansion of PI in n 2.796 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.797 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.797 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.797 * [taylor]: Taking taylor expansion of 0.5 in n 2.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.797 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.797 * [taylor]: Taking taylor expansion of 2.0 in n 2.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.797 * [taylor]: Taking taylor expansion of PI in n 2.797 * [taylor]: Taking taylor expansion of n in n 2.806 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.806 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.806 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.806 * [taylor]: Taking taylor expansion of 0.5 in n 2.806 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.806 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.806 * [taylor]: Taking taylor expansion of 2.0 in n 2.806 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.806 * [taylor]: Taking taylor expansion of PI in n 2.806 * [taylor]: Taking taylor expansion of n in n 2.885 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.885 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.885 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.885 * [taylor]: Taking taylor expansion of 0.5 in n 2.885 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.885 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.885 * [taylor]: Taking taylor expansion of -2.0 in n 2.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.885 * [taylor]: Taking taylor expansion of PI in n 2.885 * [taylor]: Taking taylor expansion of n in n 2.889 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.889 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.889 * [taylor]: Taking taylor expansion of 0.5 in n 2.889 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.889 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.889 * [taylor]: Taking taylor expansion of -2.0 in n 2.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.889 * [taylor]: Taking taylor expansion of PI in n 2.889 * [taylor]: Taking taylor expansion of n in n 2.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.968 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.968 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.968 * [taylor]: Taking taylor expansion of 1.0 in k 2.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.968 * [taylor]: Taking taylor expansion of k in k 2.969 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.969 * [taylor]: Taking taylor expansion of 1.0 in k 2.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.969 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.969 * [taylor]: Taking taylor expansion of k in k 2.980 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.980 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.980 * [taylor]: Taking taylor expansion of 1.0 in k 2.981 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.981 * [taylor]: Taking taylor expansion of k in k 2.982 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.982 * [taylor]: Taking taylor expansion of 1.0 in k 2.982 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.982 * [taylor]: Taking taylor expansion of k in k 2.992 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.992 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.992 * [taylor]: Taking taylor expansion of 1.0 in k 2.992 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.992 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.992 * [taylor]: Taking taylor expansion of -1 in k 2.992 * [taylor]: Taking taylor expansion of k in k 2.994 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.994 * [taylor]: Taking taylor expansion of 1.0 in k 2.994 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.994 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.994 * [taylor]: Taking taylor expansion of -1 in k 2.994 * [taylor]: Taking taylor expansion of k in k 3.005 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.006 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 3.006 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.006 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.006 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.006 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.006 * [taylor]: Taking taylor expansion of 0.5 in k 3.006 * [taylor]: Taking taylor expansion of k in k 3.006 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.006 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.006 * [taylor]: Taking taylor expansion of 2.0 in k 3.006 * [taylor]: Taking taylor expansion of (* n PI) in k 3.006 * [taylor]: Taking taylor expansion of n in k 3.006 * [taylor]: Taking taylor expansion of PI in k 3.009 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.009 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.009 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.009 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.009 * [taylor]: Taking taylor expansion of 0.5 in n 3.009 * [taylor]: Taking taylor expansion of k in n 3.009 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.009 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.009 * [taylor]: Taking taylor expansion of 2.0 in n 3.009 * [taylor]: Taking taylor expansion of (* n PI) in n 3.009 * [taylor]: Taking taylor expansion of n in n 3.009 * [taylor]: Taking taylor expansion of PI in n 3.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.014 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.014 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.014 * [taylor]: Taking taylor expansion of 0.5 in n 3.014 * [taylor]: Taking taylor expansion of k in n 3.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.014 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.014 * [taylor]: Taking taylor expansion of 2.0 in n 3.014 * [taylor]: Taking taylor expansion of (* n PI) in n 3.014 * [taylor]: Taking taylor expansion of n in n 3.014 * [taylor]: Taking taylor expansion of PI in n 3.019 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.020 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.020 * [taylor]: Taking taylor expansion of 0.5 in k 3.020 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.020 * [taylor]: Taking taylor expansion of k in k 3.020 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.020 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.020 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.020 * [taylor]: Taking taylor expansion of 2.0 in k 3.020 * [taylor]: Taking taylor expansion of PI in k 3.021 * [taylor]: Taking taylor expansion of (log n) in k 3.021 * [taylor]: Taking taylor expansion of n in k 3.031 * [taylor]: Taking taylor expansion of 0 in k 3.046 * [taylor]: Taking taylor expansion of 0 in k 3.060 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 3.060 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.060 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.060 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.060 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.060 * [taylor]: Taking taylor expansion of 0.5 in k 3.060 * [taylor]: Taking taylor expansion of k in k 3.060 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.060 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.060 * [taylor]: Taking taylor expansion of 2.0 in k 3.060 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.060 * [taylor]: Taking taylor expansion of PI in k 3.060 * [taylor]: Taking taylor expansion of n in k 3.060 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.060 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.060 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.060 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.060 * [taylor]: Taking taylor expansion of 0.5 in n 3.061 * [taylor]: Taking taylor expansion of k in n 3.061 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.061 * [taylor]: Taking taylor expansion of 2.0 in n 3.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.061 * [taylor]: Taking taylor expansion of PI in n 3.061 * [taylor]: Taking taylor expansion of n in n 3.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.064 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.064 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.064 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.064 * [taylor]: Taking taylor expansion of 0.5 in n 3.064 * [taylor]: Taking taylor expansion of k 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 3.068 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.068 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.068 * [taylor]: Taking taylor expansion of 0.5 in k 3.068 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.068 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.068 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.068 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.068 * [taylor]: Taking taylor expansion of 2.0 in k 3.068 * [taylor]: Taking taylor expansion of PI in k 3.069 * [taylor]: Taking taylor expansion of (log n) in k 3.069 * [taylor]: Taking taylor expansion of n in k 3.069 * [taylor]: Taking taylor expansion of k in k 3.077 * [taylor]: Taking taylor expansion of 0 in k 3.083 * [taylor]: Taking taylor expansion of 0 in k 3.090 * [taylor]: Taking taylor expansion of 0 in k 3.091 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 3.091 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.091 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.091 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.091 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.092 * [taylor]: Taking taylor expansion of -0.5 in k 3.092 * [taylor]: Taking taylor expansion of k in k 3.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.092 * [taylor]: Taking taylor expansion of -2.0 in k 3.092 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.092 * [taylor]: Taking taylor expansion of PI in k 3.092 * [taylor]: Taking taylor expansion of n in k 3.092 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.092 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.092 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.092 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.092 * [taylor]: Taking taylor expansion of -0.5 in n 3.092 * [taylor]: Taking taylor expansion of k in n 3.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.092 * [taylor]: Taking taylor expansion of -2.0 in n 3.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.092 * [taylor]: Taking taylor expansion of PI in n 3.092 * [taylor]: Taking taylor expansion of n in n 3.096 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.096 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.096 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.096 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.096 * [taylor]: Taking taylor expansion of -0.5 in n 3.096 * [taylor]: Taking taylor expansion of k in n 3.096 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.096 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.096 * [taylor]: Taking taylor expansion of -2.0 in n 3.096 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.096 * [taylor]: Taking taylor expansion of PI in n 3.096 * [taylor]: Taking taylor expansion of n in n 3.099 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.100 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.100 * [taylor]: Taking taylor expansion of -0.5 in k 3.100 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.100 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.100 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.100 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.100 * [taylor]: Taking taylor expansion of -2.0 in k 3.100 * [taylor]: Taking taylor expansion of PI in k 3.101 * [taylor]: Taking taylor expansion of (log n) in k 3.101 * [taylor]: Taking taylor expansion of n in k 3.101 * [taylor]: Taking taylor expansion of k in k 3.109 * [taylor]: Taking taylor expansion of 0 in k 3.115 * [taylor]: Taking taylor expansion of 0 in k 3.123 * [taylor]: Taking taylor expansion of 0 in k 3.124 * * * [progress]: simplifying candidates 3.132 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (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) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (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))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.141 * * [simplify]: iteration 0 : 835 enodes (cost 1299 ) 3.155 * * [simplify]: iteration 1 : 3252 enodes (cost 1207 ) 3.206 * * [simplify]: iteration 2 : 5001 enodes (cost 1183 ) 3.213 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 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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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (fma (- (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)) (* +nan.0 k)))) (fma (/ (- +nan.0) (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) 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))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma 1 1 (fma (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)) (fma (* (* 0.25 (pow k 2)) (log n)) (log (* 2.0 PI)) (* (* 0.5 k) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.214 * * * [progress]: adding candidates to table 3.638 * * [progress]: iteration 4 / 4 3.638 * * * [progress]: picking best candidate 3.684 * * * * [pick]: Picked # 3.684 * * * [progress]: localizing error 3.700 * * * [progress]: generating rewritten candidates 3.700 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.708 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.718 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.722 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.743 * * * [progress]: generating series expansions 3.743 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.744 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.744 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.744 * [taylor]: Taking taylor expansion of 0.5 in k 3.744 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.744 * [taylor]: Taking taylor expansion of 1.0 in k 3.744 * [taylor]: Taking taylor expansion of k in k 3.744 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.744 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.744 * [taylor]: Taking taylor expansion of 2.0 in k 3.744 * [taylor]: Taking taylor expansion of PI in k 3.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.748 * [taylor]: Taking taylor expansion of 0.5 in k 3.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.748 * [taylor]: Taking taylor expansion of 1.0 in k 3.748 * [taylor]: Taking taylor expansion of k in k 3.748 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.748 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.748 * [taylor]: Taking taylor expansion of 2.0 in k 3.748 * [taylor]: Taking taylor expansion of PI in k 3.800 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.801 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.801 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.801 * [taylor]: Taking taylor expansion of 0.5 in k 3.801 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.801 * [taylor]: Taking taylor expansion of 1.0 in k 3.801 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.801 * [taylor]: Taking taylor expansion of k in k 3.801 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.801 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.801 * [taylor]: Taking taylor expansion of 2.0 in k 3.801 * [taylor]: Taking taylor expansion of PI in k 3.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.804 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.804 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.804 * [taylor]: Taking taylor expansion of 0.5 in k 3.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.804 * [taylor]: Taking taylor expansion of 1.0 in k 3.804 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.804 * [taylor]: Taking taylor expansion of k in k 3.805 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.805 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.805 * [taylor]: Taking taylor expansion of 2.0 in k 3.805 * [taylor]: Taking taylor expansion of PI in k 3.810 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.810 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.810 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.810 * [taylor]: Taking taylor expansion of 0.5 in k 3.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.810 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.810 * [taylor]: Taking taylor expansion of k in k 3.811 * [taylor]: Taking taylor expansion of 1.0 in k 3.811 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.811 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.811 * [taylor]: Taking taylor expansion of 2.0 in k 3.811 * [taylor]: Taking taylor expansion of PI in k 3.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.814 * [taylor]: Taking taylor expansion of 0.5 in k 3.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.814 * [taylor]: Taking taylor expansion of k in k 3.814 * [taylor]: Taking taylor expansion of 1.0 in k 3.814 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.814 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.814 * [taylor]: Taking taylor expansion of 2.0 in k 3.814 * [taylor]: Taking taylor expansion of PI in k 3.819 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.819 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 3.819 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.820 * [taylor]: Taking taylor expansion of 1.0 in k 3.820 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.820 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.820 * [taylor]: Taking taylor expansion of k in k 3.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.821 * [taylor]: Taking taylor expansion of 0.5 in k 3.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.821 * [taylor]: Taking taylor expansion of 2.0 in k 3.821 * [taylor]: Taking taylor expansion of PI in k 3.825 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.825 * [taylor]: Taking taylor expansion of 1.0 in k 3.825 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.825 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.825 * [taylor]: Taking taylor expansion of k in k 3.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.827 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.827 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.827 * [taylor]: Taking taylor expansion of 0.5 in k 3.827 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.827 * [taylor]: Taking taylor expansion of 1.0 in k 3.827 * [taylor]: Taking taylor expansion of k in k 3.827 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.827 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.827 * [taylor]: Taking taylor expansion of 2.0 in k 3.827 * [taylor]: Taking taylor expansion of PI in k 4.041 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 4.042 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.042 * [taylor]: Taking taylor expansion of 1.0 in k 4.042 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.042 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.042 * [taylor]: Taking taylor expansion of k in k 4.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.043 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.043 * [taylor]: Taking taylor expansion of 0.5 in k 4.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.043 * [taylor]: Taking taylor expansion of 1.0 in k 4.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.043 * [taylor]: Taking taylor expansion of k in k 4.043 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.043 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.043 * [taylor]: Taking taylor expansion of 2.0 in k 4.043 * [taylor]: Taking taylor expansion of PI in k 4.047 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.047 * [taylor]: Taking taylor expansion of 1.0 in k 4.047 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.047 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.047 * [taylor]: Taking taylor expansion of k in k 4.048 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.048 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.048 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.048 * [taylor]: Taking taylor expansion of 0.5 in k 4.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.048 * [taylor]: Taking taylor expansion of 1.0 in k 4.048 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.048 * [taylor]: Taking taylor expansion of k in k 4.048 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.048 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.048 * [taylor]: Taking taylor expansion of 2.0 in k 4.048 * [taylor]: Taking taylor expansion of PI in k 4.070 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 4.070 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.071 * [taylor]: Taking taylor expansion of 1.0 in k 4.071 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.071 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.071 * [taylor]: Taking taylor expansion of 0.5 in k 4.071 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.071 * [taylor]: Taking taylor expansion of k in k 4.071 * [taylor]: Taking taylor expansion of 1.0 in k 4.071 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.071 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.071 * [taylor]: Taking taylor expansion of 2.0 in k 4.071 * [taylor]: Taking taylor expansion of PI in k 4.074 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.074 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.074 * [taylor]: Taking taylor expansion of -1 in k 4.074 * [taylor]: Taking taylor expansion of k in k 4.076 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.076 * [taylor]: Taking taylor expansion of 1.0 in k 4.076 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.076 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.076 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.076 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.076 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.076 * [taylor]: Taking taylor expansion of 0.5 in k 4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.076 * [taylor]: Taking taylor expansion of k in k 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.077 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.077 * [taylor]: Taking taylor expansion of 2.0 in k 4.077 * [taylor]: Taking taylor expansion of PI in k 4.080 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.080 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.080 * [taylor]: Taking taylor expansion of -1 in k 4.080 * [taylor]: Taking taylor expansion of k in k 4.105 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.105 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.105 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.105 * [taylor]: Taking taylor expansion of 1.0 in k 4.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.105 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.105 * [taylor]: Taking taylor expansion of k in k 4.107 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.107 * [taylor]: Taking taylor expansion of 1.0 in k 4.107 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.107 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.107 * [taylor]: Taking taylor expansion of k in k 4.118 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.118 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.118 * [taylor]: Taking taylor expansion of 1.0 in k 4.118 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.118 * [taylor]: Taking taylor expansion of k in k 4.119 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.119 * [taylor]: Taking taylor expansion of 1.0 in k 4.119 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.119 * [taylor]: Taking taylor expansion of k in k 4.129 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.129 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.129 * [taylor]: Taking taylor expansion of 1.0 in k 4.129 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.129 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.129 * [taylor]: Taking taylor expansion of -1 in k 4.129 * [taylor]: Taking taylor expansion of k in k 4.131 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.131 * [taylor]: Taking taylor expansion of 1.0 in k 4.131 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.131 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.131 * [taylor]: Taking taylor expansion of -1 in k 4.131 * [taylor]: Taking taylor expansion of k in k 4.143 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.143 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 4.144 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 4.144 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 4.144 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.144 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.144 * [taylor]: Taking taylor expansion of k in n 4.144 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.144 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 4.144 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 4.144 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 4.144 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.144 * [taylor]: Taking taylor expansion of 0.5 in n 4.144 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.144 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * [taylor]: Taking taylor expansion of k in n 4.144 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.144 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.144 * [taylor]: Taking taylor expansion of 2.0 in n 4.144 * [taylor]: Taking taylor expansion of PI in n 4.146 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.146 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.146 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.146 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.146 * [taylor]: Taking taylor expansion of 0.5 in n 4.146 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.146 * [taylor]: Taking taylor expansion of 1.0 in n 4.146 * [taylor]: Taking taylor expansion of k in n 4.146 * [taylor]: Taking taylor expansion of (log n) in n 4.146 * [taylor]: Taking taylor expansion of n in n 4.147 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.147 * [taylor]: Taking taylor expansion of 1.0 in k 4.147 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.147 * [taylor]: Taking taylor expansion of k in k 4.148 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.149 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.149 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.149 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.149 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.149 * [taylor]: Taking taylor expansion of 0.5 in k 4.149 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.149 * [taylor]: Taking taylor expansion of 1.0 in k 4.149 * [taylor]: Taking taylor expansion of k in k 4.149 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.149 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.149 * [taylor]: Taking taylor expansion of 2.0 in k 4.149 * [taylor]: Taking taylor expansion of PI in k 4.153 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.153 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.153 * [taylor]: Taking taylor expansion of 0.5 in k 4.153 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.153 * [taylor]: Taking taylor expansion of 1.0 in k 4.153 * [taylor]: Taking taylor expansion of k in k 4.153 * [taylor]: Taking taylor expansion of (log n) in k 4.153 * [taylor]: Taking taylor expansion of n in k 4.154 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 4.154 * [taylor]: Taking taylor expansion of 1.0 in k 4.154 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.154 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.154 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.154 * [taylor]: Taking taylor expansion of k in k 4.155 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.155 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 4.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 4.155 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 4.155 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.155 * [taylor]: Taking taylor expansion of 0.5 in k 4.155 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.155 * [taylor]: Taking taylor expansion of 1.0 in k 4.155 * [taylor]: Taking taylor expansion of k in k 4.155 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.155 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.155 * [taylor]: Taking taylor expansion of 2.0 in k 4.155 * [taylor]: Taking taylor expansion of PI in k 4.160 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.160 * [taylor]: Taking taylor expansion of 0.5 in k 4.160 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.160 * [taylor]: Taking taylor expansion of 1.0 in k 4.160 * [taylor]: Taking taylor expansion of k in k 4.160 * [taylor]: Taking taylor expansion of (log n) in k 4.160 * [taylor]: Taking taylor expansion of n in k 4.162 * [taylor]: Taking taylor expansion of 0 in n 4.192 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.192 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.192 * [taylor]: Taking taylor expansion of +nan.0 in n 4.192 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.192 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.192 * [taylor]: Taking taylor expansion of 0.5 in n 4.192 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.192 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.192 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.192 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.192 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.192 * [taylor]: Taking taylor expansion of 1.0 in n 4.192 * [taylor]: Taking taylor expansion of (log PI) in n 4.192 * [taylor]: Taking taylor expansion of PI in n 4.194 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.194 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.194 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.194 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.194 * [taylor]: Taking taylor expansion of 1.0 in n 4.194 * [taylor]: Taking taylor expansion of (log n) in n 4.194 * [taylor]: Taking taylor expansion of n in n 4.195 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.195 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.195 * [taylor]: Taking taylor expansion of 1.0 in n 4.195 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.195 * [taylor]: Taking taylor expansion of 2.0 in n 4.243 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 4.243 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (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 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 4.243 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.243 * [taylor]: Taking taylor expansion of +nan.0 in n 4.243 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.243 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.243 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.243 * [taylor]: Taking taylor expansion of 2.0 in n 4.243 * [taylor]: Taking taylor expansion of PI in n 4.244 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.244 * [taylor]: Taking taylor expansion of 0.5 in n 4.244 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.244 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.244 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.244 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.244 * [taylor]: Taking taylor expansion of 1.0 in n 4.244 * [taylor]: Taking taylor expansion of (log PI) in n 4.244 * [taylor]: Taking taylor expansion of PI in n 4.246 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.246 * [taylor]: Taking taylor expansion of 1.0 in n 4.246 * [taylor]: Taking taylor expansion of (log n) in n 4.246 * [taylor]: Taking taylor expansion of n in n 4.246 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.246 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.246 * [taylor]: Taking taylor expansion of 1.0 in n 4.246 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.246 * [taylor]: Taking taylor expansion of 2.0 in n 4.252 * [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 n)))))) in n 4.252 * [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 n))))) in n 4.252 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.252 * [taylor]: Taking taylor expansion of +nan.0 in n 4.252 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.252 * [taylor]: Taking taylor expansion of 0.5 in n 4.252 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.252 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.252 * [taylor]: Taking taylor expansion of 1.0 in n 4.252 * [taylor]: Taking taylor expansion of (log PI) in n 4.252 * [taylor]: Taking taylor expansion of PI in n 4.254 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.254 * [taylor]: Taking taylor expansion of 1.0 in n 4.254 * [taylor]: Taking taylor expansion of (log n) in n 4.254 * [taylor]: Taking taylor expansion of n in n 4.254 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.255 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.255 * [taylor]: Taking taylor expansion of 1.0 in n 4.255 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.255 * [taylor]: Taking taylor expansion of 2.0 in n 4.260 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 4.260 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 4.260 * [taylor]: Taking taylor expansion of +nan.0 in n 4.260 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 4.260 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.260 * [taylor]: Taking taylor expansion of 0.5 in n 4.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.260 * [taylor]: Taking taylor expansion of 1.0 in n 4.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.260 * [taylor]: Taking taylor expansion of 2.0 in n 4.262 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.262 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.262 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.262 * [taylor]: Taking taylor expansion of 1.0 in n 4.262 * [taylor]: Taking taylor expansion of (log PI) in n 4.262 * [taylor]: Taking taylor expansion of PI in n 4.264 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.264 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.264 * [taylor]: Taking taylor expansion of 1.0 in n 4.264 * [taylor]: Taking taylor expansion of (log n) in n 4.264 * [taylor]: Taking taylor expansion of n in n 4.268 * [taylor]: Taking taylor expansion of (log n) in n 4.268 * [taylor]: Taking taylor expansion of n in n 4.379 * [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 (log (* 2.0 PI)) 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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 4.379 * [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 (log (* 2.0 PI)) 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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 4.379 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.379 * [taylor]: Taking taylor expansion of +nan.0 in n 4.379 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.379 * [taylor]: Taking taylor expansion of 0.5 in n 4.379 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.379 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.379 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.379 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.379 * [taylor]: Taking taylor expansion of 1.0 in n 4.379 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.379 * [taylor]: Taking taylor expansion of 2.0 in n 4.381 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.381 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.381 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.381 * [taylor]: Taking taylor expansion of 1.0 in n 4.381 * [taylor]: Taking taylor expansion of (log n) in n 4.381 * [taylor]: Taking taylor expansion of n in n 4.382 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.382 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.382 * [taylor]: Taking taylor expansion of 1.0 in n 4.382 * [taylor]: Taking taylor expansion of (log PI) in n 4.382 * [taylor]: Taking taylor expansion of PI in n 4.387 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 4.387 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 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 PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 4.387 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.387 * [taylor]: Taking taylor expansion of +nan.0 in n 4.387 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.387 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 4.387 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.387 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.387 * [taylor]: Taking taylor expansion of 2.0 in n 4.387 * [taylor]: Taking taylor expansion of PI in n 4.388 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.388 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.388 * [taylor]: Taking taylor expansion of 0.5 in n 4.388 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.388 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.388 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.389 * [taylor]: Taking taylor expansion of 1.0 in n 4.389 * [taylor]: Taking taylor expansion of (log PI) in n 4.389 * [taylor]: Taking taylor expansion of PI in n 4.390 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.390 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.390 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.390 * [taylor]: Taking taylor expansion of 1.0 in n 4.390 * [taylor]: Taking taylor expansion of (log n) in n 4.390 * [taylor]: Taking taylor expansion of n in n 4.391 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.391 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.391 * [taylor]: Taking taylor expansion of 1.0 in n 4.391 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.391 * [taylor]: Taking taylor expansion of 2.0 in n 4.396 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 4.396 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 4.396 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 4.396 * [taylor]: Taking taylor expansion of +nan.0 in n 4.397 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 4.397 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.397 * [taylor]: Taking taylor expansion of 0.5 in n 4.397 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.397 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.397 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.397 * [taylor]: Taking taylor expansion of 2.0 in n 4.398 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.398 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.398 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.398 * [taylor]: Taking taylor expansion of 1.0 in n 4.399 * [taylor]: Taking taylor expansion of (log PI) in n 4.399 * [taylor]: Taking taylor expansion of PI in n 4.400 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.400 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.400 * [taylor]: Taking taylor expansion of 1.0 in n 4.400 * [taylor]: Taking taylor expansion of (log n) in n 4.400 * [taylor]: Taking taylor expansion of n in n 4.404 * [taylor]: Taking taylor expansion of (log n) in n 4.405 * [taylor]: Taking taylor expansion of n in n 4.405 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 4.405 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 4.405 * [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 n) 2))) in n 4.405 * [taylor]: Taking taylor expansion of +nan.0 in n 4.405 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.405 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.405 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.405 * [taylor]: Taking taylor expansion of 0.5 in n 4.405 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.405 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.405 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.405 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.405 * [taylor]: Taking taylor expansion of 1.0 in n 4.405 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.405 * [taylor]: Taking taylor expansion of 2.0 in n 4.407 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.407 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.407 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.407 * [taylor]: Taking taylor expansion of 1.0 in n 4.407 * [taylor]: Taking taylor expansion of (log PI) in n 4.407 * [taylor]: Taking taylor expansion of PI in n 4.409 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.409 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.409 * [taylor]: Taking taylor expansion of 1.0 in n 4.409 * [taylor]: Taking taylor expansion of (log n) in n 4.409 * [taylor]: Taking taylor expansion of n in n 4.413 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.413 * [taylor]: Taking taylor expansion of (log n) in n 4.413 * [taylor]: Taking taylor expansion of n in n 4.414 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 4.414 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 4.414 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.414 * [taylor]: Taking taylor expansion of +nan.0 in n 4.414 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.414 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.414 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.414 * [taylor]: Taking taylor expansion of 2.0 in n 4.414 * [taylor]: Taking taylor expansion of PI in n 4.415 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.415 * [taylor]: Taking taylor expansion of 0.5 in n 4.415 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.415 * [taylor]: Taking taylor expansion of 1.0 in n 4.415 * [taylor]: Taking taylor expansion of (log PI) in n 4.415 * [taylor]: Taking taylor expansion of PI in n 4.417 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.417 * [taylor]: Taking taylor expansion of 1.0 in n 4.417 * [taylor]: Taking taylor expansion of (log n) in n 4.417 * [taylor]: Taking taylor expansion of n in n 4.417 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.417 * [taylor]: Taking taylor expansion of 1.0 in n 4.417 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.418 * [taylor]: Taking taylor expansion of 2.0 in n 4.423 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 4.423 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 4.423 * [taylor]: Taking taylor expansion of +nan.0 in n 4.423 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 4.423 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 4.423 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.423 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.423 * [taylor]: Taking taylor expansion of 2.0 in n 4.423 * [taylor]: Taking taylor expansion of PI in n 4.424 * [taylor]: Taking taylor expansion of (log n) in n 4.424 * [taylor]: Taking taylor expansion of n in n 4.424 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 4.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 4.425 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 4.425 * [taylor]: Taking taylor expansion of 0.5 in n 4.425 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 4.425 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 4.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.425 * [taylor]: Taking taylor expansion of 1.0 in n 4.425 * [taylor]: Taking taylor expansion of (log PI) in n 4.425 * [taylor]: Taking taylor expansion of PI in n 4.427 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 4.427 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.427 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.427 * [taylor]: Taking taylor expansion of 1.0 in n 4.427 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.427 * [taylor]: Taking taylor expansion of 2.0 in n 4.429 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.429 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.429 * [taylor]: Taking taylor expansion of 1.0 in n 4.429 * [taylor]: Taking taylor expansion of (log n) in n 4.429 * [taylor]: Taking taylor expansion of n in n 4.545 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 4.545 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 4.545 * [taylor]: Taking taylor expansion of 1.0 in n 4.545 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.545 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.545 * [taylor]: Taking taylor expansion of k in n 4.545 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.545 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.545 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.545 * [taylor]: Taking taylor expansion of 0.5 in n 4.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.545 * [taylor]: Taking taylor expansion of 1.0 in n 4.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.545 * [taylor]: Taking taylor expansion of k in n 4.545 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.545 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.545 * [taylor]: Taking taylor expansion of n in n 4.546 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 4.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 4.546 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.546 * [taylor]: Taking taylor expansion of 0.5 in n 4.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.546 * [taylor]: Taking taylor expansion of 1.0 in n 4.546 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.546 * [taylor]: Taking taylor expansion of k in n 4.546 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.546 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.546 * [taylor]: Taking taylor expansion of 2.0 in n 4.546 * [taylor]: Taking taylor expansion of PI in n 4.549 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.549 * [taylor]: Taking taylor expansion of 1.0 in k 4.549 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.549 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.549 * [taylor]: Taking taylor expansion of k in k 4.550 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.550 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.550 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.550 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.550 * [taylor]: Taking taylor expansion of 0.5 in k 4.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.550 * [taylor]: Taking taylor expansion of 1.0 in k 4.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.550 * [taylor]: Taking taylor expansion of k in k 4.550 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.550 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.550 * [taylor]: Taking taylor expansion of n in k 4.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.551 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.551 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.551 * [taylor]: Taking taylor expansion of 0.5 in k 4.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.551 * [taylor]: Taking taylor expansion of 1.0 in k 4.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.552 * [taylor]: Taking taylor expansion of k in k 4.552 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.552 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.552 * [taylor]: Taking taylor expansion of 2.0 in k 4.552 * [taylor]: Taking taylor expansion of PI in k 4.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 4.555 * [taylor]: Taking taylor expansion of 1.0 in k 4.555 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.555 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.555 * [taylor]: Taking taylor expansion of k in k 4.556 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.556 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.556 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.556 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.556 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.556 * [taylor]: Taking taylor expansion of 0.5 in k 4.556 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.556 * [taylor]: Taking taylor expansion of 1.0 in k 4.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.556 * [taylor]: Taking taylor expansion of k in k 4.557 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.557 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.557 * [taylor]: Taking taylor expansion of n in k 4.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 4.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 4.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.558 * [taylor]: Taking taylor expansion of 0.5 in k 4.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.558 * [taylor]: Taking taylor expansion of 1.0 in k 4.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.558 * [taylor]: Taking taylor expansion of k in k 4.558 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.558 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.558 * [taylor]: Taking taylor expansion of 2.0 in k 4.558 * [taylor]: Taking taylor expansion of PI in k 4.563 * [taylor]: Taking taylor expansion of 0 in n 4.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 4.566 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 4.566 * [taylor]: Taking taylor expansion of +nan.0 in n 4.566 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 4.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.566 * [taylor]: Taking taylor expansion of 0.5 in n 4.566 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.566 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.566 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.567 * [taylor]: Taking taylor expansion of n in n 4.567 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.567 * [taylor]: Taking taylor expansion of 1.0 in n 4.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.567 * [taylor]: Taking taylor expansion of k in n 4.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.568 * [taylor]: Taking taylor expansion of 0.5 in n 4.568 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.568 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.568 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.568 * [taylor]: Taking taylor expansion of 2.0 in n 4.568 * [taylor]: Taking taylor expansion of PI in n 4.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.569 * [taylor]: Taking taylor expansion of 1.0 in n 4.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.569 * [taylor]: Taking taylor expansion of k in n 4.581 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 4.581 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 4.581 * [taylor]: Taking taylor expansion of +nan.0 in n 4.581 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 4.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.581 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.581 * [taylor]: Taking taylor expansion of 0.5 in n 4.581 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.581 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.581 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.581 * [taylor]: Taking taylor expansion of n in n 4.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.581 * [taylor]: Taking taylor expansion of 1.0 in n 4.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.581 * [taylor]: Taking taylor expansion of k in n 4.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.582 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.582 * [taylor]: Taking taylor expansion of 0.5 in n 4.582 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.582 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.582 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.582 * [taylor]: Taking taylor expansion of 2.0 in n 4.582 * [taylor]: Taking taylor expansion of PI in n 4.583 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.583 * [taylor]: Taking taylor expansion of 1.0 in n 4.583 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.583 * [taylor]: Taking taylor expansion of k in n 4.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 4.605 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 4.605 * [taylor]: Taking taylor expansion of +nan.0 in n 4.605 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 4.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.606 * [taylor]: Taking taylor expansion of 0.5 in n 4.606 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.606 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.606 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.606 * [taylor]: Taking taylor expansion of n in n 4.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.606 * [taylor]: Taking taylor expansion of 1.0 in n 4.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.606 * [taylor]: Taking taylor expansion of k in n 4.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 4.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 4.607 * [taylor]: Taking taylor expansion of 0.5 in n 4.607 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 4.607 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.607 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.607 * [taylor]: Taking taylor expansion of 2.0 in n 4.607 * [taylor]: Taking taylor expansion of PI in n 4.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.608 * [taylor]: Taking taylor expansion of 1.0 in n 4.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.608 * [taylor]: Taking taylor expansion of k in n 4.617 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 4.617 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 4.617 * [taylor]: Taking taylor expansion of 1.0 in n 4.617 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 4.617 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.617 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.617 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.617 * [taylor]: Taking taylor expansion of 0.5 in n 4.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.617 * [taylor]: Taking taylor expansion of k in n 4.617 * [taylor]: Taking taylor expansion of 1.0 in n 4.617 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.617 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.617 * [taylor]: Taking taylor expansion of -1 in n 4.617 * [taylor]: Taking taylor expansion of n in n 4.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 4.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 4.619 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.619 * [taylor]: Taking taylor expansion of 0.5 in n 4.619 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.619 * [taylor]: Taking taylor expansion of k in n 4.619 * [taylor]: Taking taylor expansion of 1.0 in n 4.619 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.619 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.619 * [taylor]: Taking taylor expansion of 2.0 in n 4.619 * [taylor]: Taking taylor expansion of PI in n 4.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.622 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.622 * [taylor]: Taking taylor expansion of -1 in n 4.622 * [taylor]: Taking taylor expansion of k in n 4.624 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 4.624 * [taylor]: Taking taylor expansion of 1.0 in k 4.624 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.630 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.630 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.630 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.630 * [taylor]: Taking taylor expansion of 0.5 in k 4.630 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.630 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.630 * [taylor]: Taking taylor expansion of k in k 4.630 * [taylor]: Taking taylor expansion of 1.0 in k 4.630 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.630 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.630 * [taylor]: Taking taylor expansion of -1 in k 4.630 * [taylor]: Taking taylor expansion of n in k 4.631 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.631 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.631 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.631 * [taylor]: Taking taylor expansion of 0.5 in k 4.631 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.631 * [taylor]: Taking taylor expansion of k in k 4.632 * [taylor]: Taking taylor expansion of 1.0 in k 4.632 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.632 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.632 * [taylor]: Taking taylor expansion of 2.0 in k 4.632 * [taylor]: Taking taylor expansion of PI in k 4.635 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.635 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.635 * [taylor]: Taking taylor expansion of -1 in k 4.635 * [taylor]: Taking taylor expansion of k in k 4.638 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 4.638 * [taylor]: Taking taylor expansion of 1.0 in k 4.638 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 4.638 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.638 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.638 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.638 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.638 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.638 * [taylor]: Taking taylor expansion of 0.5 in k 4.638 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.638 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.638 * [taylor]: Taking taylor expansion of k in k 4.638 * [taylor]: Taking taylor expansion of 1.0 in k 4.638 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.638 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.638 * [taylor]: Taking taylor expansion of -1 in k 4.638 * [taylor]: Taking taylor expansion of n in k 4.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 4.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 4.639 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.639 * [taylor]: Taking taylor expansion of 0.5 in k 4.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.639 * [taylor]: Taking taylor expansion of k in k 4.639 * [taylor]: Taking taylor expansion of 1.0 in k 4.639 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.639 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.640 * [taylor]: Taking taylor expansion of 2.0 in k 4.640 * [taylor]: Taking taylor expansion of PI in k 4.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.643 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.643 * [taylor]: Taking taylor expansion of -1 in k 4.643 * [taylor]: Taking taylor expansion of k in k 4.646 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.646 * [taylor]: Taking taylor expansion of +nan.0 in n 4.646 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.646 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.646 * [taylor]: Taking taylor expansion of 0.5 in n 4.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.647 * [taylor]: Taking taylor expansion of k in n 4.647 * [taylor]: Taking taylor expansion of 1.0 in n 4.647 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.647 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.647 * [taylor]: Taking taylor expansion of -1 in n 4.647 * [taylor]: Taking taylor expansion of n in n 4.649 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.649 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.649 * [taylor]: Taking taylor expansion of 0.5 in n 4.649 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.649 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.649 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.649 * [taylor]: Taking taylor expansion of 2.0 in n 4.649 * [taylor]: Taking taylor expansion of PI in n 4.650 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.650 * [taylor]: Taking taylor expansion of k in n 4.650 * [taylor]: Taking taylor expansion of 1.0 in n 4.661 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 4.661 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.661 * [taylor]: Taking taylor expansion of +nan.0 in n 4.661 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.661 * [taylor]: Taking taylor expansion of 0.5 in n 4.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.661 * [taylor]: Taking taylor expansion of k in n 4.661 * [taylor]: Taking taylor expansion of 1.0 in n 4.661 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.661 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.661 * [taylor]: Taking taylor expansion of -1 in n 4.661 * [taylor]: Taking taylor expansion of n in n 4.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.663 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.663 * [taylor]: Taking taylor expansion of 0.5 in n 4.664 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.664 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.664 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.664 * [taylor]: Taking taylor expansion of 2.0 in n 4.664 * [taylor]: Taking taylor expansion of PI in n 4.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.665 * [taylor]: Taking taylor expansion of k in n 4.665 * [taylor]: Taking taylor expansion of 1.0 in n 4.690 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 4.690 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 4.690 * [taylor]: Taking taylor expansion of +nan.0 in n 4.690 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 4.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.690 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.690 * [taylor]: Taking taylor expansion of 0.5 in n 4.690 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.690 * [taylor]: Taking taylor expansion of k in n 4.691 * [taylor]: Taking taylor expansion of 1.0 in n 4.691 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.691 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.691 * [taylor]: Taking taylor expansion of -1 in n 4.691 * [taylor]: Taking taylor expansion of n in n 4.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 4.693 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 4.693 * [taylor]: Taking taylor expansion of 0.5 in n 4.693 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 4.693 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 4.693 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 4.693 * [taylor]: Taking taylor expansion of 2.0 in n 4.693 * [taylor]: Taking taylor expansion of PI in n 4.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.694 * [taylor]: Taking taylor expansion of k in n 4.694 * [taylor]: Taking taylor expansion of 1.0 in n 4.704 * * * [progress]: simplifying candidates 4.707 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) 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(cost 2113 ) 4.746 * * [simplify]: iteration 1 : 4931 enodes (cost 1915 ) 4.827 * * [simplify]: iteration 2 : 5001 enodes (cost 1887 ) 4.838 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow 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2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (fma +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (+ (- (* +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)) (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 k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma +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 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (/ (- (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (pow k 3))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (pow k 2))) 4.839 * * * [progress]: adding candidates to table 5.307 * [progress]: [Phase 3 of 3] Extracting. 5.307 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 5.311 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.311 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 5.367 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.404 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 5.454 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 5.508 * * * [regime]: Found split indices: #