12.099 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.138 * * * [progress]: [2/2] Setting up program. 0.141 * [progress]: [Phase 2 of 3] Improving. 0.141 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.143 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.145 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.146 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.149 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.155 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.179 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.179 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.180 * * [progress]: iteration 1 / 4 0.180 * * * [progress]: picking best candidate 0.182 * * * * [pick]: Picked # 0.182 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.221 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.241 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.241 * [taylor]: Taking taylor expansion of 2.0 in n 0.241 * [taylor]: Taking taylor expansion of (* n PI) in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.241 * [taylor]: Taking taylor expansion of PI in n 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.241 * [taylor]: Taking taylor expansion of 2.0 in n 0.241 * [taylor]: Taking taylor expansion of (* n PI) in n 0.241 * [taylor]: Taking taylor expansion of n in n 0.241 * [taylor]: Taking taylor expansion of PI in n 0.254 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.254 * [taylor]: Taking taylor expansion of 2.0 in n 0.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.254 * [taylor]: Taking taylor expansion of PI in n 0.254 * [taylor]: Taking taylor expansion of n in n 0.254 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.254 * [taylor]: Taking taylor expansion of 2.0 in n 0.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.254 * [taylor]: Taking taylor expansion of PI in n 0.254 * [taylor]: Taking taylor expansion of n in n 0.264 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.264 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.264 * [taylor]: Taking taylor expansion of -2.0 in n 0.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.264 * [taylor]: Taking taylor expansion of PI in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.264 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.264 * [taylor]: Taking taylor expansion of -2.0 in n 0.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.264 * [taylor]: Taking taylor expansion of PI in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.273 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.273 * [taylor]: Taking taylor expansion of 1.0 in k 0.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.274 * [taylor]: Taking taylor expansion of k in k 0.275 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.275 * [taylor]: Taking taylor expansion of 1.0 in k 0.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.275 * [taylor]: Taking taylor expansion of k in k 0.293 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.293 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.294 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.294 * [taylor]: Taking taylor expansion of 1.0 in k 0.294 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.294 * [taylor]: Taking taylor expansion of k in k 0.305 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.305 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.305 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.305 * [taylor]: Taking taylor expansion of -1 in k 0.305 * [taylor]: Taking taylor expansion of k in k 0.306 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.306 * [taylor]: Taking taylor expansion of 1.0 in k 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.306 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.306 * [taylor]: Taking taylor expansion of -1 in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.318 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.319 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.319 * [taylor]: Taking taylor expansion of 0.5 in k 0.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.319 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.319 * [taylor]: Taking taylor expansion of 2.0 in k 0.319 * [taylor]: Taking taylor expansion of (* n PI) in k 0.319 * [taylor]: Taking taylor expansion of n in k 0.319 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (* n PI) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.326 * [taylor]: Taking taylor expansion of 0.5 in n 0.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.326 * [taylor]: Taking taylor expansion of 1.0 in n 0.326 * [taylor]: Taking taylor expansion of k in n 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (* n PI) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.332 * [taylor]: Taking taylor expansion of 0.5 in k 0.332 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.332 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.332 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.332 * [taylor]: Taking taylor expansion of 2.0 in k 0.332 * [taylor]: Taking taylor expansion of PI in k 0.333 * [taylor]: Taking taylor expansion of (log n) in k 0.333 * [taylor]: Taking taylor expansion of n in k 0.343 * [taylor]: Taking taylor expansion of 0 in k 0.359 * [taylor]: Taking taylor expansion of 0 in k 0.383 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.383 * [taylor]: Taking taylor expansion of 0.5 in k 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.383 * [taylor]: Taking taylor expansion of 1.0 in k 0.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.383 * [taylor]: Taking taylor expansion of k in k 0.384 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.384 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.384 * [taylor]: Taking taylor expansion of 2.0 in k 0.384 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.384 * [taylor]: Taking taylor expansion of PI in k 0.384 * [taylor]: Taking taylor expansion of n in k 0.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.385 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.385 * [taylor]: Taking taylor expansion of 0.5 in n 0.385 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.385 * [taylor]: Taking taylor expansion of 1.0 in n 0.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.385 * [taylor]: Taking taylor expansion of k in n 0.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.385 * [taylor]: Taking taylor expansion of 2.0 in n 0.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.385 * [taylor]: Taking taylor expansion of PI in n 0.385 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.389 * [taylor]: Taking taylor expansion of 0.5 in n 0.389 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.389 * [taylor]: Taking taylor expansion of k in n 0.389 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.389 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.393 * [taylor]: Taking taylor expansion of 0.5 in k 0.393 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.393 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.393 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.393 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.393 * [taylor]: Taking taylor expansion of 2.0 in k 0.393 * [taylor]: Taking taylor expansion of PI in k 0.394 * [taylor]: Taking taylor expansion of (log n) in k 0.394 * [taylor]: Taking taylor expansion of n in k 0.394 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.394 * [taylor]: Taking taylor expansion of 1.0 in k 0.394 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.394 * [taylor]: Taking taylor expansion of k in k 0.404 * [taylor]: Taking taylor expansion of 0 in k 0.412 * [taylor]: Taking taylor expansion of 0 in k 0.421 * [taylor]: Taking taylor expansion of 0 in k 0.422 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.422 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.422 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.422 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.422 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.422 * [taylor]: Taking taylor expansion of 0.5 in k 0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.422 * [taylor]: Taking taylor expansion of k in k 0.422 * [taylor]: Taking taylor expansion of 1.0 in k 0.423 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.423 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.423 * [taylor]: Taking taylor expansion of -2.0 in k 0.423 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.423 * [taylor]: Taking taylor expansion of PI in k 0.423 * [taylor]: Taking taylor expansion of n in k 0.423 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.424 * [taylor]: Taking taylor expansion of 0.5 in n 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.424 * [taylor]: Taking taylor expansion of k in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.424 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.424 * [taylor]: Taking taylor expansion of -2.0 in n 0.424 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.424 * [taylor]: Taking taylor expansion of PI in n 0.424 * [taylor]: Taking taylor expansion of n in n 0.427 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.427 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.427 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.427 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.427 * [taylor]: Taking taylor expansion of 0.5 in n 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.428 * [taylor]: Taking taylor expansion of k in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.428 * [taylor]: Taking taylor expansion of -2.0 in n 0.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.428 * [taylor]: Taking taylor expansion of PI in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.432 * [taylor]: Taking taylor expansion of 0.5 in k 0.432 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.432 * [taylor]: Taking taylor expansion of k in k 0.432 * [taylor]: Taking taylor expansion of 1.0 in k 0.432 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.432 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.432 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.432 * [taylor]: Taking taylor expansion of -2.0 in k 0.432 * [taylor]: Taking taylor expansion of PI in k 0.433 * [taylor]: Taking taylor expansion of (log n) in k 0.433 * [taylor]: Taking taylor expansion of n in k 0.442 * [taylor]: Taking taylor expansion of 0 in k 0.449 * [taylor]: Taking taylor expansion of 0 in k 0.458 * [taylor]: Taking taylor expansion of 0 in k 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 0.460 * [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 0.472 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.472 * [taylor]: Taking taylor expansion of 1.0 in k 0.472 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.472 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.474 * [taylor]: Taking taylor expansion of 0.5 in k 0.474 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.474 * [taylor]: Taking taylor expansion of 1.0 in k 0.474 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.474 * [taylor]: Taking taylor expansion of 2.0 in k 0.474 * [taylor]: Taking taylor expansion of (* n PI) in k 0.474 * [taylor]: Taking taylor expansion of n in k 0.474 * [taylor]: Taking taylor expansion of PI in k 0.475 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.475 * [taylor]: Taking taylor expansion of 1.0 in k 0.475 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.475 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.475 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.475 * [taylor]: Taking taylor expansion of k in k 0.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.477 * [taylor]: Taking taylor expansion of 0.5 in k 0.477 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.477 * [taylor]: Taking taylor expansion of 1.0 in k 0.477 * [taylor]: Taking taylor expansion of k in k 0.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.477 * [taylor]: Taking taylor expansion of 2.0 in k 0.477 * [taylor]: Taking taylor expansion of (* n PI) in k 0.477 * [taylor]: Taking taylor expansion of n in k 0.477 * [taylor]: Taking taylor expansion of PI in k 0.478 * [taylor]: Taking taylor expansion of 0 in n 0.484 * [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 0.484 * [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 0.484 * [taylor]: Taking taylor expansion of +nan.0 in n 0.484 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.484 * [taylor]: Taking taylor expansion of 0.5 in n 0.484 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.484 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.484 * [taylor]: Taking taylor expansion of 1.0 in n 0.484 * [taylor]: Taking taylor expansion of (log PI) in n 0.484 * [taylor]: Taking taylor expansion of PI in n 0.486 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.486 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [taylor]: Taking taylor expansion of (log n) in n 0.486 * [taylor]: Taking taylor expansion of n in n 0.487 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.487 * [taylor]: Taking taylor expansion of 1.0 in n 0.487 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.487 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [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 0.507 * [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 0.507 * [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 0.507 * [taylor]: Taking taylor expansion of +nan.0 in n 0.507 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.507 * [taylor]: Taking taylor expansion of 0.5 in n 0.507 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.507 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.507 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log PI) in n 0.507 * [taylor]: Taking taylor expansion of PI in n 0.509 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.509 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log n) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.510 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.510 * [taylor]: Taking taylor expansion of 2.0 in n 0.515 * [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 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of +nan.0 in n 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.515 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.517 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (log PI) in n 0.518 * [taylor]: Taking taylor expansion of PI in n 0.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log n) in n 0.520 * [taylor]: Taking taylor expansion of n in n 0.524 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.524 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.524 * [taylor]: Taking taylor expansion of 2.0 in n 0.524 * [taylor]: Taking taylor expansion of (* n PI) in n 0.524 * [taylor]: Taking taylor expansion of n in n 0.524 * [taylor]: Taking taylor expansion of PI in n 0.582 * [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 0.582 * [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 0.582 * [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 0.582 * [taylor]: Taking taylor expansion of +nan.0 in n 0.582 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.582 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.582 * [taylor]: Taking taylor expansion of 0.5 in n 0.582 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.582 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.582 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.582 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.584 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log n) in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [taylor]: Taking taylor expansion of (log PI) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.590 * [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 0.590 * [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 0.590 * [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 0.590 * [taylor]: Taking taylor expansion of +nan.0 in n 0.590 * [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 0.590 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.590 * [taylor]: Taking taylor expansion of 0.5 in n 0.590 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.590 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.592 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.592 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.592 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.592 * [taylor]: Taking taylor expansion of 1.0 in n 0.592 * [taylor]: Taking taylor expansion of (log PI) in n 0.592 * [taylor]: Taking taylor expansion of PI in n 0.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log n) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.599 * [taylor]: Taking taylor expansion of 2.0 in n 0.599 * [taylor]: Taking taylor expansion of (* n PI) in n 0.599 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.602 * [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 0.602 * [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 0.602 * [taylor]: Taking taylor expansion of +nan.0 in n 0.602 * [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 0.602 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.602 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.602 * [taylor]: Taking taylor expansion of 0.5 in n 0.602 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.602 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.602 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.602 * [taylor]: Taking taylor expansion of 1.0 in n 0.602 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.602 * [taylor]: Taking taylor expansion of 2.0 in n 0.604 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.604 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (log PI) in n 0.604 * [taylor]: Taking taylor expansion of PI in n 0.606 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (log n) in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.611 * [taylor]: Taking taylor expansion of 2.0 in n 0.611 * [taylor]: Taking taylor expansion of (* n PI) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of PI in n 0.690 * [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 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.690 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.691 * [taylor]: Taking taylor expansion of 1.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.691 * [taylor]: Taking taylor expansion of 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 0.694 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.694 * [taylor]: Taking taylor expansion of 1.0 in k 0.694 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.695 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.695 * [taylor]: Taking taylor expansion of k in k 0.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.696 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.696 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.696 * [taylor]: Taking taylor expansion of 0.5 in k 0.696 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.696 * [taylor]: Taking taylor expansion of 1.0 in k 0.696 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.696 * [taylor]: Taking taylor expansion of 2.0 in k 0.696 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.696 * [taylor]: Taking taylor expansion of PI in k 0.696 * [taylor]: Taking taylor expansion of n in k 0.697 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.697 * [taylor]: Taking taylor expansion of 1.0 in k 0.697 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.698 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.698 * [taylor]: Taking taylor expansion of k in k 0.699 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.699 * [taylor]: Taking taylor expansion of 0.5 in k 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.699 * [taylor]: Taking taylor expansion of 1.0 in k 0.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.699 * [taylor]: Taking taylor expansion of k in k 0.699 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.699 * [taylor]: Taking taylor expansion of 2.0 in k 0.699 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.699 * [taylor]: Taking taylor expansion of PI in k 0.699 * [taylor]: Taking taylor expansion of n in k 0.701 * [taylor]: Taking taylor expansion of 0 in n 0.701 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.701 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.701 * [taylor]: Taking taylor expansion of +nan.0 in n 0.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.701 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of 2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.703 * [taylor]: Taking taylor expansion of 1.0 in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.713 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.713 * [taylor]: Taking taylor expansion of +nan.0 in n 0.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of 2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.715 * [taylor]: Taking taylor expansion of 1.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.715 * [taylor]: Taking taylor expansion of k in n 0.731 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.732 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.732 * [taylor]: Taking taylor expansion of +nan.0 in n 0.732 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.732 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.732 * [taylor]: Taking taylor expansion of 0.5 in n 0.732 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.732 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.732 * [taylor]: Taking taylor expansion of 2.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.732 * [taylor]: Taking taylor expansion of PI in n 0.732 * [taylor]: Taking taylor expansion of n in n 0.733 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.733 * [taylor]: Taking taylor expansion of 1.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.733 * [taylor]: Taking taylor expansion of k in n 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.742 * [taylor]: Taking taylor expansion of 1.0 in n 0.742 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.742 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.742 * [taylor]: Taking taylor expansion of 0.5 in n 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.742 * [taylor]: Taking taylor expansion of k in n 0.742 * [taylor]: Taking taylor expansion of 1.0 in n 0.742 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.742 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.742 * [taylor]: Taking taylor expansion of -2.0 in n 0.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.742 * [taylor]: Taking taylor expansion of PI in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.752 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.752 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.752 * [taylor]: Taking taylor expansion of -1 in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.753 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.753 * [taylor]: Taking taylor expansion of 1.0 in k 0.753 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.753 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.753 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.753 * [taylor]: Taking taylor expansion of 0.5 in k 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.753 * [taylor]: Taking taylor expansion of k in k 0.753 * [taylor]: Taking taylor expansion of 1.0 in k 0.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.753 * [taylor]: Taking taylor expansion of -2.0 in k 0.753 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.753 * [taylor]: Taking taylor expansion of PI in k 0.753 * [taylor]: Taking taylor expansion of n in k 0.754 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.754 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.754 * [taylor]: Taking taylor expansion of -1 in k 0.754 * [taylor]: Taking taylor expansion of k in k 0.756 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.756 * [taylor]: Taking taylor expansion of 1.0 in k 0.756 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.756 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.756 * [taylor]: Taking taylor expansion of 0.5 in k 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.756 * [taylor]: Taking taylor expansion of k in k 0.756 * [taylor]: Taking taylor expansion of 1.0 in k 0.756 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.756 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.756 * [taylor]: Taking taylor expansion of -2.0 in k 0.756 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.756 * [taylor]: Taking taylor expansion of PI in k 0.756 * [taylor]: Taking taylor expansion of n in k 0.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.757 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.757 * [taylor]: Taking taylor expansion of -1 in k 0.757 * [taylor]: Taking taylor expansion of k in k 0.759 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.759 * [taylor]: Taking taylor expansion of +nan.0 in n 0.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.759 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.759 * [taylor]: Taking taylor expansion of 0.5 in n 0.759 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.759 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.759 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.759 * [taylor]: Taking taylor expansion of k in n 0.759 * [taylor]: Taking taylor expansion of 1.0 in n 0.759 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.759 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.759 * [taylor]: Taking taylor expansion of -2.0 in n 0.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.759 * [taylor]: Taking taylor expansion of PI in n 0.759 * [taylor]: Taking taylor expansion of n in n 0.768 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.768 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.768 * [taylor]: Taking taylor expansion of +nan.0 in n 0.768 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.768 * [taylor]: Taking taylor expansion of 0.5 in n 0.768 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.769 * [taylor]: Taking taylor expansion of k in n 0.769 * [taylor]: Taking taylor expansion of 1.0 in n 0.769 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.769 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.769 * [taylor]: Taking taylor expansion of -2.0 in n 0.769 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.769 * [taylor]: Taking taylor expansion of PI in n 0.769 * [taylor]: Taking taylor expansion of n in n 0.787 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.787 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.787 * [taylor]: Taking taylor expansion of +nan.0 in n 0.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.787 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.787 * [taylor]: Taking taylor expansion of 0.5 in n 0.787 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.787 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.787 * [taylor]: Taking taylor expansion of k in n 0.787 * [taylor]: Taking taylor expansion of 1.0 in n 0.787 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.787 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.787 * [taylor]: Taking taylor expansion of -2.0 in n 0.787 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.787 * [taylor]: Taking taylor expansion of PI in n 0.787 * [taylor]: Taking taylor expansion of n in n 0.797 * * * [progress]: simplifying candidates 0.799 * [simplify]: Simplifying using # : (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))) (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) (/ (- 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)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log 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(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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) 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 (- 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 (- (* +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))))))))) 0.900 * * * [progress]: adding candidates to table 1.536 * * [progress]: iteration 2 / 4 1.536 * * * [progress]: picking best candidate 1.559 * * * * [pick]: Picked # 1.560 * * * [progress]: localizing error 1.578 * * * [progress]: generating rewritten candidates 1.578 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.588 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.594 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.616 * * * [progress]: generating series expansions 1.616 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.617 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.617 * [taylor]: Taking taylor expansion of 2.0 in n 1.617 * [taylor]: Taking taylor expansion of (* n PI) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.617 * [taylor]: Taking taylor expansion of 2.0 in n 1.617 * [taylor]: Taking taylor expansion of (* n PI) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.630 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of 2.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of 2.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.640 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.640 * [taylor]: Taking taylor expansion of PI in n 1.640 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.640 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.640 * [taylor]: Taking taylor expansion of -1 in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.641 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.641 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.641 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.641 * [taylor]: Taking taylor expansion of -1 in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.667 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.667 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.667 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.667 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.668 * [taylor]: Taking taylor expansion of PI in n 1.668 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 1.668 * [taylor]: Taking taylor expansion of 2.0 in n 1.668 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.668 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.668 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.691 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 1.691 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.691 * [taylor]: Taking taylor expansion of 2.0 in n 1.691 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.691 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.691 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.691 * [taylor]: Taking taylor expansion of n in n 1.692 * [taylor]: Taking taylor expansion of PI in n 1.692 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 1.692 * [taylor]: Taking taylor expansion of 2.0 in n 1.692 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.692 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.692 * [taylor]: Taking taylor expansion of n in n 1.694 * [taylor]: Taking taylor expansion of PI in n 1.716 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 1.716 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.716 * [taylor]: Taking taylor expansion of 2.0 in n 1.716 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.716 * [taylor]: Taking taylor expansion of PI in n 1.716 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.716 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.716 * [taylor]: Taking taylor expansion of -1 in n 1.716 * [taylor]: Taking taylor expansion of n in n 1.717 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 1.717 * [taylor]: Taking taylor expansion of 2.0 in n 1.717 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.717 * [taylor]: Taking taylor expansion of PI in n 1.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.717 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.717 * [taylor]: Taking taylor expansion of -1 in n 1.717 * [taylor]: Taking taylor expansion of n in n 1.738 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.739 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.739 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.739 * [taylor]: Taking taylor expansion of 1.0 in k 1.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.739 * [taylor]: Taking taylor expansion of k in k 1.745 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.745 * [taylor]: Taking taylor expansion of 1.0 in k 1.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.745 * [taylor]: Taking taylor expansion of k in k 1.756 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.756 * [taylor]: Taking taylor expansion of 1.0 in k 1.756 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.756 * [taylor]: Taking taylor expansion of k in k 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.757 * [taylor]: Taking taylor expansion of 1.0 in k 1.757 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.757 * [taylor]: Taking taylor expansion of k in k 1.768 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.768 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.768 * [taylor]: Taking taylor expansion of 1.0 in k 1.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.768 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.768 * [taylor]: Taking taylor expansion of -1 in k 1.768 * [taylor]: Taking taylor expansion of k in k 1.769 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.769 * [taylor]: Taking taylor expansion of 1.0 in k 1.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.769 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.769 * [taylor]: Taking taylor expansion of -1 in k 1.770 * [taylor]: Taking taylor expansion of k in k 1.781 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.782 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.782 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.782 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.782 * [taylor]: Taking taylor expansion of 0.5 in k 1.782 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.782 * [taylor]: Taking taylor expansion of 1.0 in k 1.782 * [taylor]: Taking taylor expansion of k in k 1.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.782 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.782 * [taylor]: Taking taylor expansion of 2.0 in k 1.782 * [taylor]: Taking taylor expansion of (* n PI) in k 1.782 * [taylor]: Taking taylor expansion of n in k 1.782 * [taylor]: Taking taylor expansion of PI in k 1.783 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.783 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.783 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.783 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.783 * [taylor]: Taking taylor expansion of 0.5 in n 1.783 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.783 * [taylor]: Taking taylor expansion of 1.0 in n 1.783 * [taylor]: Taking taylor expansion of k in n 1.783 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.783 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.783 * [taylor]: Taking taylor expansion of 2.0 in n 1.783 * [taylor]: Taking taylor expansion of (* n PI) in n 1.783 * [taylor]: Taking taylor expansion of n in n 1.783 * [taylor]: Taking taylor expansion of PI in n 1.789 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.789 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.789 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.789 * [taylor]: Taking taylor expansion of 0.5 in n 1.789 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.789 * [taylor]: Taking taylor expansion of 1.0 in n 1.789 * [taylor]: Taking taylor expansion of k in n 1.789 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.789 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.789 * [taylor]: Taking taylor expansion of 2.0 in n 1.789 * [taylor]: Taking taylor expansion of (* n PI) in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.789 * [taylor]: Taking taylor expansion of PI in n 1.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.794 * [taylor]: Taking taylor expansion of 0.5 in k 1.794 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.794 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.794 * [taylor]: Taking taylor expansion of 1.0 in k 1.794 * [taylor]: Taking taylor expansion of k in k 1.794 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.794 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.794 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.795 * [taylor]: Taking taylor expansion of 2.0 in k 1.795 * [taylor]: Taking taylor expansion of PI in k 1.795 * [taylor]: Taking taylor expansion of (log n) in k 1.796 * [taylor]: Taking taylor expansion of n in k 1.805 * [taylor]: Taking taylor expansion of 0 in k 1.821 * [taylor]: Taking taylor expansion of 0 in k 1.845 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.845 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.845 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.845 * [taylor]: Taking taylor expansion of 0.5 in k 1.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.845 * [taylor]: Taking taylor expansion of 1.0 in k 1.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.845 * [taylor]: Taking taylor expansion of k in k 1.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.845 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.845 * [taylor]: Taking taylor expansion of 2.0 in k 1.845 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.845 * [taylor]: Taking taylor expansion of PI in k 1.845 * [taylor]: Taking taylor expansion of n in k 1.847 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.847 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.847 * [taylor]: Taking taylor expansion of 0.5 in n 1.847 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.847 * [taylor]: Taking taylor expansion of 1.0 in n 1.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.847 * [taylor]: Taking taylor expansion of k in n 1.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.847 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.847 * [taylor]: Taking taylor expansion of 2.0 in n 1.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.847 * [taylor]: Taking taylor expansion of PI in n 1.847 * [taylor]: Taking taylor expansion of n in n 1.851 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.851 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.851 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.851 * [taylor]: Taking taylor expansion of 0.5 in n 1.851 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.851 * [taylor]: Taking taylor expansion of 1.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.851 * [taylor]: Taking taylor expansion of k in n 1.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.851 * [taylor]: Taking taylor expansion of 2.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.851 * [taylor]: Taking taylor expansion of PI in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.855 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.855 * [taylor]: Taking taylor expansion of 0.5 in k 1.855 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.855 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.855 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.855 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.855 * [taylor]: Taking taylor expansion of 2.0 in k 1.855 * [taylor]: Taking taylor expansion of PI in k 1.856 * [taylor]: Taking taylor expansion of (log n) in k 1.856 * [taylor]: Taking taylor expansion of n in k 1.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.856 * [taylor]: Taking taylor expansion of 1.0 in k 1.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.856 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of 0 in k 1.873 * [taylor]: Taking taylor expansion of 0 in k 1.883 * [taylor]: Taking taylor expansion of 0 in k 1.884 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.884 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 1.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 1.884 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.884 * [taylor]: Taking taylor expansion of 0.5 in k 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.884 * [taylor]: Taking taylor expansion of k in k 1.884 * [taylor]: Taking taylor expansion of 1.0 in k 1.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 1.884 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 1.884 * [taylor]: Taking taylor expansion of 2.0 in k 1.884 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 1.885 * [taylor]: Taking taylor expansion of PI in k 1.885 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 1.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.885 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.885 * [taylor]: Taking taylor expansion of -1 in k 1.885 * [taylor]: Taking taylor expansion of n in k 1.886 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.886 * [taylor]: Taking taylor expansion of 0.5 in n 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.886 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.886 * [taylor]: Taking taylor expansion of k in n 1.886 * [taylor]: Taking taylor expansion of 1.0 in n 1.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.886 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.886 * [taylor]: Taking taylor expansion of 2.0 in n 1.886 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.886 * [taylor]: Taking taylor expansion of PI in n 1.886 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.886 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.886 * [taylor]: Taking taylor expansion of -1 in n 1.886 * [taylor]: Taking taylor expansion of n in n 1.891 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.891 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 1.891 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 1.891 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.891 * [taylor]: Taking taylor expansion of 0.5 in n 1.891 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.891 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.891 * [taylor]: Taking taylor expansion of k in n 1.891 * [taylor]: Taking taylor expansion of 1.0 in n 1.891 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 1.892 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 1.892 * [taylor]: Taking taylor expansion of 2.0 in n 1.892 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.892 * [taylor]: Taking taylor expansion of PI in n 1.892 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.892 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.892 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.892 * [taylor]: Taking taylor expansion of -1 in n 1.892 * [taylor]: Taking taylor expansion of n in n 1.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 1.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 1.896 * [taylor]: Taking taylor expansion of 0.5 in k 1.896 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 1.896 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.896 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.896 * [taylor]: Taking taylor expansion of k in k 1.897 * [taylor]: Taking taylor expansion of 1.0 in k 1.897 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 1.897 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 1.897 * [taylor]: Taking taylor expansion of +nan.0 in k 1.897 * [taylor]: Taking taylor expansion of PI in k 1.922 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 1.922 * [taylor]: Taking taylor expansion of -1 in k 1.922 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 1.922 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 1.922 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 1.922 * [taylor]: Taking taylor expansion of +nan.0 in k 1.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.923 * [taylor]: Taking taylor expansion of k in k 1.923 * [taylor]: Taking taylor expansion of (- +nan.0) in k 1.923 * [taylor]: Taking taylor expansion of +nan.0 in k 1.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 1.923 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 1.923 * [taylor]: Taking taylor expansion of 0.5 in k 1.923 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.923 * [taylor]: Taking taylor expansion of k in k 1.923 * [taylor]: Taking taylor expansion of 1.0 in k 1.923 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 1.923 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 1.923 * [taylor]: Taking taylor expansion of +nan.0 in k 1.923 * [taylor]: Taking taylor expansion of PI in k 1.958 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) in k 1.958 * [taylor]: Taking taylor expansion of -1 in k 1.958 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) in k 1.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 1.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 1.958 * [taylor]: Taking taylor expansion of 0.5 in k 1.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.958 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.958 * [taylor]: Taking taylor expansion of k in k 1.958 * [taylor]: Taking taylor expansion of 1.0 in k 1.958 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 1.958 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 1.958 * [taylor]: Taking taylor expansion of +nan.0 in k 1.958 * [taylor]: Taking taylor expansion of PI in k 1.962 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))) in k 1.962 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 1.962 * [taylor]: Taking taylor expansion of +nan.0 in k 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 1.962 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.962 * [taylor]: Taking taylor expansion of k in k 1.963 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))) in k 1.963 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 1.963 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 1.963 * [taylor]: Taking taylor expansion of +nan.0 in k 1.963 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.963 * [taylor]: Taking taylor expansion of k in k 1.963 * [taylor]: Taking taylor expansion of (- +nan.0) in k 1.963 * [taylor]: Taking taylor expansion of +nan.0 in k 1.980 * * * [progress]: simplifying candidates 1.982 * [simplify]: Simplifying using # : (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (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) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 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))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) 1.990 * * [simplify]: iteration 0 : 755 enodes (cost 1027 ) 2.003 * * [simplify]: iteration 1 : 3088 enodes (cost 876 ) 2.056 * * [simplify]: iteration 2 : 5001 enodes (cost 848 ) 2.061 * [simplify]: Simplified to: (expm1 (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (log1p (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (expm1 (/ 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) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (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 (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))) (- (fma 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (+ (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) 2.062 * * * [progress]: adding candidates to table 2.425 * * [progress]: iteration 3 / 4 2.425 * * * [progress]: picking best candidate 2.446 * * * * [pick]: Picked # 2.446 * * * [progress]: localizing error 2.466 * * * [progress]: generating rewritten candidates 2.466 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.476 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.487 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.514 * * * [progress]: generating series expansions 2.514 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.515 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 2.515 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.515 * [taylor]: Taking taylor expansion of 2.0 in n 2.515 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.515 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.515 * [taylor]: Taking taylor expansion of n in n 2.517 * [taylor]: Taking taylor expansion of PI in n 2.517 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.517 * [taylor]: Taking taylor expansion of 2.0 in n 2.517 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.517 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.517 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of PI in n 2.540 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.540 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.540 * [taylor]: Taking taylor expansion of 2.0 in n 2.540 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.540 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.540 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.540 * [taylor]: Taking taylor expansion of n in n 2.542 * [taylor]: Taking taylor expansion of PI in n 2.542 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.542 * [taylor]: Taking taylor expansion of 2.0 in n 2.542 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.542 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.542 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.542 * [taylor]: Taking taylor expansion of n in n 2.543 * [taylor]: Taking taylor expansion of PI in n 2.565 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.565 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.565 * [taylor]: Taking taylor expansion of 2.0 in n 2.565 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.565 * [taylor]: Taking taylor expansion of PI in n 2.565 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.565 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.565 * [taylor]: Taking taylor expansion of -1 in n 2.565 * [taylor]: Taking taylor expansion of n in n 2.567 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.567 * [taylor]: Taking taylor expansion of 2.0 in n 2.567 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.567 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.567 * [taylor]: Taking taylor expansion of -1 in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.595 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.595 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.595 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.595 * [taylor]: Taking taylor expansion of 1.0 in k 2.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.595 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.595 * [taylor]: Taking taylor expansion of k in k 2.596 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.596 * [taylor]: Taking taylor expansion of 1.0 in k 2.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.596 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.596 * [taylor]: Taking taylor expansion of k in k 2.608 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.608 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.608 * [taylor]: Taking taylor expansion of 1.0 in k 2.608 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.608 * [taylor]: Taking taylor expansion of k in k 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.609 * [taylor]: Taking taylor expansion of 1.0 in k 2.609 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.609 * [taylor]: Taking taylor expansion of k in k 2.619 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.619 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.619 * [taylor]: Taking taylor expansion of 1.0 in k 2.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.619 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.619 * [taylor]: Taking taylor expansion of -1 in k 2.619 * [taylor]: Taking taylor expansion of k in k 2.621 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.621 * [taylor]: Taking taylor expansion of 1.0 in k 2.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.621 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.621 * [taylor]: Taking taylor expansion of -1 in k 2.621 * [taylor]: Taking taylor expansion of k in k 2.633 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.634 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in (n k) around 0 2.634 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 2.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 2.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 2.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 2.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.634 * [taylor]: Taking taylor expansion of 0.5 in k 2.634 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.634 * [taylor]: Taking taylor expansion of 1.0 in k 2.634 * [taylor]: Taking taylor expansion of k in k 2.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 2.634 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 2.634 * [taylor]: Taking taylor expansion of 2.0 in k 2.634 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 2.634 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.634 * [taylor]: Taking taylor expansion of n in k 2.634 * [taylor]: Taking taylor expansion of PI in k 2.635 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 2.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 2.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.635 * [taylor]: Taking taylor expansion of 0.5 in k 2.635 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.635 * [taylor]: Taking taylor expansion of 1.0 in k 2.635 * [taylor]: Taking taylor expansion of k in k 2.635 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 2.635 * [taylor]: Taking taylor expansion of (sqrt n) in k 2.635 * [taylor]: Taking taylor expansion of n in k 2.636 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 2.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 2.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 2.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.636 * [taylor]: Taking taylor expansion of 0.5 in n 2.637 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.637 * [taylor]: Taking taylor expansion of 1.0 in n 2.637 * [taylor]: Taking taylor expansion of k in n 2.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.637 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.637 * [taylor]: Taking taylor expansion of 2.0 in n 2.637 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.637 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.637 * [taylor]: Taking taylor expansion of n in n 2.638 * [taylor]: Taking taylor expansion of PI in n 2.646 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 2.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 2.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 2.646 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.646 * [taylor]: Taking taylor expansion of 0.5 in n 2.646 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.646 * [taylor]: Taking taylor expansion of 1.0 in n 2.646 * [taylor]: Taking taylor expansion of k in n 2.646 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.646 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.646 * [taylor]: Taking taylor expansion of n in n 2.648 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 2.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 2.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 2.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 2.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.648 * [taylor]: Taking taylor expansion of 0.5 in n 2.648 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.648 * [taylor]: Taking taylor expansion of 1.0 in n 2.649 * [taylor]: Taking taylor expansion of k in n 2.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 2.649 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.649 * [taylor]: Taking taylor expansion of 2.0 in n 2.649 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.649 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.649 * [taylor]: Taking taylor expansion of n in n 2.650 * [taylor]: Taking taylor expansion of PI in n 2.658 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 2.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 2.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 2.658 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.658 * [taylor]: Taking taylor expansion of 0.5 in n 2.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.658 * [taylor]: Taking taylor expansion of 1.0 in n 2.658 * [taylor]: Taking taylor expansion of k in n 2.658 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 2.658 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.658 * [taylor]: Taking taylor expansion of n in n 2.662 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))) in k 2.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) in k 2.662 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n)))) in k 2.662 * [taylor]: Taking taylor expansion of 0.5 in k 2.662 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log +nan.0) (log n))) in k 2.662 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.662 * [taylor]: Taking taylor expansion of 1.0 in k 2.662 * [taylor]: Taking taylor expansion of k in k 2.662 * [taylor]: Taking taylor expansion of (+ (log +nan.0) (log n)) in k 2.662 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.662 * [taylor]: Taking taylor expansion of +nan.0 in k 2.662 * [taylor]: Taking taylor expansion of (log n) in k 2.662 * [taylor]: Taking taylor expansion of n in k 2.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))) in k 2.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))) in k 2.664 * [taylor]: Taking taylor expansion of 0.5 in k 2.664 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))) in k 2.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.664 * [taylor]: Taking taylor expansion of 1.0 in k 2.664 * [taylor]: Taking taylor expansion of k in k 2.664 * [taylor]: Taking taylor expansion of (+ (log (- (* +nan.0 PI))) (log n)) in k 2.664 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.664 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.664 * [taylor]: Taking taylor expansion of +nan.0 in k 2.664 * [taylor]: Taking taylor expansion of PI in k 2.667 * [taylor]: Taking taylor expansion of (log n) in k 2.667 * [taylor]: Taking taylor expansion of n in k 2.708 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) (- (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))))))) in k 2.708 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) (- (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))))))) in k 2.708 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) in k 2.709 * [taylor]: Taking taylor expansion of +nan.0 in k 2.709 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))) in k 2.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) in k 2.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n)))) in k 2.709 * [taylor]: Taking taylor expansion of 0.5 in k 2.709 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log +nan.0) (log n))) in k 2.709 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.709 * [taylor]: Taking taylor expansion of 1.0 in k 2.709 * [taylor]: Taking taylor expansion of k in k 2.709 * [taylor]: Taking taylor expansion of (+ (log +nan.0) (log n)) in k 2.709 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.709 * [taylor]: Taking taylor expansion of +nan.0 in k 2.709 * [taylor]: Taking taylor expansion of (log n) in k 2.709 * [taylor]: Taking taylor expansion of n in k 2.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))) in k 2.711 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))) in k 2.711 * [taylor]: Taking taylor expansion of 0.5 in k 2.711 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))) in k 2.711 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.711 * [taylor]: Taking taylor expansion of 1.0 in k 2.711 * [taylor]: Taking taylor expansion of k in k 2.711 * [taylor]: Taking taylor expansion of (+ (log (- (* +nan.0 PI))) (log n)) in k 2.711 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.711 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.711 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.711 * [taylor]: Taking taylor expansion of +nan.0 in k 2.711 * [taylor]: Taking taylor expansion of PI in k 2.714 * [taylor]: Taking taylor expansion of (log n) in k 2.714 * [taylor]: Taking taylor expansion of n in k 2.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))))) in k 2.719 * [taylor]: Taking taylor expansion of (* +nan.0 (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))))) in k 2.719 * [taylor]: Taking taylor expansion of +nan.0 in k 2.719 * [taylor]: Taking taylor expansion of (* k (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))))) in k 2.719 * [taylor]: Taking taylor expansion of k in k 2.719 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))))) in k 2.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n))))) in k 2.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log +nan.0) (log n)))) in k 2.719 * [taylor]: Taking taylor expansion of 0.5 in k 2.719 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log +nan.0) (log n))) in k 2.719 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.719 * [taylor]: Taking taylor expansion of 1.0 in k 2.719 * [taylor]: Taking taylor expansion of k in k 2.719 * [taylor]: Taking taylor expansion of (+ (log +nan.0) (log n)) in k 2.719 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.719 * [taylor]: Taking taylor expansion of +nan.0 in k 2.719 * [taylor]: Taking taylor expansion of (log n) in k 2.719 * [taylor]: Taking taylor expansion of n in k 2.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))))) in k 2.721 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n)))) in k 2.721 * [taylor]: Taking taylor expansion of 0.5 in k 2.721 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (- (* +nan.0 PI))) (log n))) in k 2.721 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.721 * [taylor]: Taking taylor expansion of 1.0 in k 2.721 * [taylor]: Taking taylor expansion of k in k 2.721 * [taylor]: Taking taylor expansion of (+ (log (- (* +nan.0 PI))) (log n)) in k 2.721 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.721 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.721 * [taylor]: Taking taylor expansion of +nan.0 in k 2.721 * [taylor]: Taking taylor expansion of PI in k 2.724 * [taylor]: Taking taylor expansion of (log n) in k 2.724 * [taylor]: Taking taylor expansion of n in k 2.780 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 2.780 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.780 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 2.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 2.780 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.780 * [taylor]: Taking taylor expansion of 0.5 in k 2.781 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.781 * [taylor]: Taking taylor expansion of 1.0 in k 2.781 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.781 * [taylor]: Taking taylor expansion of k in k 2.781 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 2.781 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 2.781 * [taylor]: Taking taylor expansion of 2.0 in k 2.781 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 2.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 2.781 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.781 * [taylor]: Taking taylor expansion of n in k 2.781 * [taylor]: Taking taylor expansion of PI in k 2.782 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 2.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 2.782 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.782 * [taylor]: Taking taylor expansion of 0.5 in k 2.782 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.782 * [taylor]: Taking taylor expansion of 1.0 in k 2.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.782 * [taylor]: Taking taylor expansion of k in k 2.783 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 2.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 2.783 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.783 * [taylor]: Taking taylor expansion of n in k 2.784 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.784 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 2.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 2.784 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.784 * [taylor]: Taking taylor expansion of 0.5 in n 2.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.784 * [taylor]: Taking taylor expansion of 1.0 in n 2.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.784 * [taylor]: Taking taylor expansion of k in n 2.784 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 2.784 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.784 * [taylor]: Taking taylor expansion of 2.0 in n 2.784 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.784 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.784 * [taylor]: Taking taylor expansion of n in n 2.785 * [taylor]: Taking taylor expansion of PI in n 2.792 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 2.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 2.792 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.792 * [taylor]: Taking taylor expansion of 0.5 in n 2.792 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.792 * [taylor]: Taking taylor expansion of 1.0 in n 2.792 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.792 * [taylor]: Taking taylor expansion of k in n 2.792 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 2.792 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.792 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.792 * [taylor]: Taking taylor expansion of n in n 2.795 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.795 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 2.795 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 2.795 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.795 * [taylor]: Taking taylor expansion of 0.5 in n 2.795 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.795 * [taylor]: Taking taylor expansion of 1.0 in n 2.795 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.795 * [taylor]: Taking taylor expansion of k in n 2.795 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 2.795 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.795 * [taylor]: Taking taylor expansion of 2.0 in n 2.795 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.795 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.795 * [taylor]: Taking taylor expansion of n in n 2.796 * [taylor]: Taking taylor expansion of PI in n 2.803 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 2.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.803 * [taylor]: Taking taylor expansion of 0.5 in n 2.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.803 * [taylor]: Taking taylor expansion of k in n 2.803 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 2.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.803 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.803 * [taylor]: Taking taylor expansion of n in n 2.807 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.807 * [taylor]: Taking taylor expansion of 0.5 in k 2.807 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.807 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.807 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.807 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.807 * [taylor]: Taking taylor expansion of +nan.0 in k 2.807 * [taylor]: Taking taylor expansion of PI in k 2.809 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.809 * [taylor]: Taking taylor expansion of 1.0 in k 2.809 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.809 * [taylor]: Taking taylor expansion of k in k 2.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.815 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.815 * [taylor]: Taking taylor expansion of 0.5 in k 2.815 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.815 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.815 * [taylor]: Taking taylor expansion of +nan.0 in k 2.815 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.815 * [taylor]: Taking taylor expansion of 1.0 in k 2.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.815 * [taylor]: Taking taylor expansion of k in k 2.853 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))))) in k 2.853 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))))) in k 2.853 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) in k 2.853 * [taylor]: Taking taylor expansion of +nan.0 in k 2.853 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k) in k 2.853 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.853 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.853 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.853 * [taylor]: Taking taylor expansion of 0.5 in k 2.853 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.853 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.853 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.853 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.853 * [taylor]: Taking taylor expansion of +nan.0 in k 2.853 * [taylor]: Taking taylor expansion of PI in k 2.856 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.856 * [taylor]: Taking taylor expansion of 1.0 in k 2.856 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.856 * [taylor]: Taking taylor expansion of k in k 2.861 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.861 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.861 * [taylor]: Taking taylor expansion of 0.5 in k 2.861 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.861 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.861 * [taylor]: Taking taylor expansion of +nan.0 in k 2.862 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.862 * [taylor]: Taking taylor expansion of 1.0 in k 2.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.862 * [taylor]: Taking taylor expansion of k in k 2.864 * [taylor]: Taking taylor expansion of k in k 2.867 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))) in k 2.867 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))) in k 2.867 * [taylor]: Taking taylor expansion of +nan.0 in k 2.867 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.867 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.867 * [taylor]: Taking taylor expansion of 0.5 in k 2.867 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.867 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.867 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.867 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.867 * [taylor]: Taking taylor expansion of +nan.0 in k 2.867 * [taylor]: Taking taylor expansion of PI in k 2.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.870 * [taylor]: Taking taylor expansion of 1.0 in k 2.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.870 * [taylor]: Taking taylor expansion of k in k 2.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.875 * [taylor]: Taking taylor expansion of 0.5 in k 2.875 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.875 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.875 * [taylor]: Taking taylor expansion of +nan.0 in k 2.876 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.876 * [taylor]: Taking taylor expansion of 1.0 in k 2.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.876 * [taylor]: Taking taylor expansion of k in k 2.944 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))))))) in k 2.944 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))))))) in k 2.944 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2))) in k 2.944 * [taylor]: Taking taylor expansion of +nan.0 in k 2.944 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) (pow k 2)) in k 2.944 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.944 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.944 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.944 * [taylor]: Taking taylor expansion of 0.5 in k 2.944 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.944 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.944 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.944 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.944 * [taylor]: Taking taylor expansion of +nan.0 in k 2.944 * [taylor]: Taking taylor expansion of PI in k 2.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.947 * [taylor]: Taking taylor expansion of 1.0 in k 2.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.947 * [taylor]: Taking taylor expansion of k in k 2.953 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.953 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.953 * [taylor]: Taking taylor expansion of 0.5 in k 2.953 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.953 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.953 * [taylor]: Taking taylor expansion of +nan.0 in k 2.953 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.953 * [taylor]: Taking taylor expansion of 1.0 in k 2.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.953 * [taylor]: Taking taylor expansion of k in k 2.956 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.956 * [taylor]: Taking taylor expansion of k in k 2.959 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))))) in k 2.959 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))))) in k 2.959 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k)) in k 2.959 * [taylor]: Taking taylor expansion of +nan.0 in k 2.959 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) k) in k 2.959 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.959 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.959 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.959 * [taylor]: Taking taylor expansion of 0.5 in k 2.959 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.959 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.959 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.959 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.959 * [taylor]: Taking taylor expansion of +nan.0 in k 2.959 * [taylor]: Taking taylor expansion of PI in k 2.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.962 * [taylor]: Taking taylor expansion of 1.0 in k 2.962 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.962 * [taylor]: Taking taylor expansion of k in k 2.967 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.968 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.968 * [taylor]: Taking taylor expansion of 0.5 in k 2.968 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.968 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.968 * [taylor]: Taking taylor expansion of +nan.0 in k 2.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.968 * [taylor]: Taking taylor expansion of 1.0 in k 2.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.968 * [taylor]: Taking taylor expansion of k in k 2.971 * [taylor]: Taking taylor expansion of k in k 2.973 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))))) in k 2.974 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))))) in k 2.974 * [taylor]: Taking taylor expansion of +nan.0 in k 2.974 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))))) in k 2.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))))) in k 2.974 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k)))) in k 2.974 * [taylor]: Taking taylor expansion of 0.5 in k 2.974 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (- 1.0 (/ 1 k))) in k 2.974 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 2.974 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 2.974 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 2.974 * [taylor]: Taking taylor expansion of +nan.0 in k 2.974 * [taylor]: Taking taylor expansion of PI in k 2.976 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.976 * [taylor]: Taking taylor expansion of 1.0 in k 2.976 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.976 * [taylor]: Taking taylor expansion of k in k 2.982 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k))))) in k 2.982 * [taylor]: Taking taylor expansion of (* 0.5 (* (log +nan.0) (- 1.0 (/ 1 k)))) in k 2.982 * [taylor]: Taking taylor expansion of 0.5 in k 2.982 * [taylor]: Taking taylor expansion of (* (log +nan.0) (- 1.0 (/ 1 k))) in k 2.982 * [taylor]: Taking taylor expansion of (log +nan.0) in k 2.982 * [taylor]: Taking taylor expansion of +nan.0 in k 2.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.983 * [taylor]: Taking taylor expansion of 1.0 in k 2.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.983 * [taylor]: Taking taylor expansion of k in k 3.018 * [approximate]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in (n k) around 0 3.018 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.018 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.018 * [taylor]: Taking taylor expansion of 0.5 in k 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.018 * [taylor]: Taking taylor expansion of k in k 3.018 * [taylor]: Taking taylor expansion of 1.0 in k 3.018 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.018 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.018 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.018 * [taylor]: Taking taylor expansion of -1 in k 3.018 * [taylor]: Taking taylor expansion of n in k 3.019 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.019 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.019 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.019 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.019 * [taylor]: Taking taylor expansion of 0.5 in k 3.019 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.020 * [taylor]: Taking taylor expansion of k in k 3.020 * [taylor]: Taking taylor expansion of 1.0 in k 3.020 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.020 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.020 * [taylor]: Taking taylor expansion of 2.0 in k 3.020 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.020 * [taylor]: Taking taylor expansion of PI in k 3.020 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.020 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.020 * [taylor]: Taking taylor expansion of -1 in k 3.020 * [taylor]: Taking taylor expansion of n in k 3.021 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.021 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 3.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 3.021 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.021 * [taylor]: Taking taylor expansion of 0.5 in n 3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.021 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.021 * [taylor]: Taking taylor expansion of k in n 3.021 * [taylor]: Taking taylor expansion of 1.0 in n 3.021 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.026 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.026 * [taylor]: Taking taylor expansion of -1 in n 3.026 * [taylor]: Taking taylor expansion of n in n 3.028 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 3.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 3.028 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.028 * [taylor]: Taking taylor expansion of 0.5 in n 3.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.028 * [taylor]: Taking taylor expansion of k in n 3.028 * [taylor]: Taking taylor expansion of 1.0 in n 3.028 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.028 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.028 * [taylor]: Taking taylor expansion of 2.0 in n 3.028 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.028 * [taylor]: Taking taylor expansion of PI in n 3.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.029 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.029 * [taylor]: Taking taylor expansion of -1 in n 3.029 * [taylor]: Taking taylor expansion of n in n 3.037 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.037 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 3.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 3.037 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.037 * [taylor]: Taking taylor expansion of 0.5 in n 3.037 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.037 * [taylor]: Taking taylor expansion of k in n 3.037 * [taylor]: Taking taylor expansion of 1.0 in n 3.037 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.037 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.037 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.037 * [taylor]: Taking taylor expansion of -1 in n 3.037 * [taylor]: Taking taylor expansion of n in n 3.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.039 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 3.039 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 3.039 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.039 * [taylor]: Taking taylor expansion of 0.5 in n 3.040 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.040 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.040 * [taylor]: Taking taylor expansion of k in n 3.040 * [taylor]: Taking taylor expansion of 1.0 in n 3.040 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.040 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.040 * [taylor]: Taking taylor expansion of 2.0 in n 3.040 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.040 * [taylor]: Taking taylor expansion of PI in n 3.040 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.040 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.040 * [taylor]: Taking taylor expansion of -1 in n 3.040 * [taylor]: Taking taylor expansion of n in n 3.049 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 3.049 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 3.049 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 3.049 * [taylor]: Taking taylor expansion of 0.5 in k 3.049 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 3.049 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 3.049 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 3.049 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.049 * [taylor]: Taking taylor expansion of +nan.0 in k 3.049 * [taylor]: Taking taylor expansion of PI in k 3.052 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.052 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.052 * [taylor]: Taking taylor expansion of k in k 3.052 * [taylor]: Taking taylor expansion of 1.0 in k 3.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 3.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 3.057 * [taylor]: Taking taylor expansion of 0.5 in k 3.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 3.057 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.057 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.057 * [taylor]: Taking taylor expansion of k in k 3.057 * [taylor]: Taking taylor expansion of 1.0 in k 3.057 * [taylor]: Taking taylor expansion of (log +nan.0) in k 3.057 * [taylor]: Taking taylor expansion of +nan.0 in k 3.088 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))))) in k 3.088 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)))) in k 3.088 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) in k 3.089 * [taylor]: Taking taylor expansion of +nan.0 in k 3.089 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 3.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 3.089 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 3.089 * [taylor]: Taking taylor expansion of 0.5 in k 3.089 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 3.089 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 3.089 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 3.089 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.089 * [taylor]: Taking taylor expansion of +nan.0 in k 3.089 * [taylor]: Taking taylor expansion of PI in k 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.091 * [taylor]: Taking taylor expansion of k in k 3.092 * [taylor]: Taking taylor expansion of 1.0 in k 3.096 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 3.096 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 3.096 * [taylor]: Taking taylor expansion of 0.5 in k 3.096 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 3.096 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.096 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.096 * [taylor]: Taking taylor expansion of k in k 3.096 * [taylor]: Taking taylor expansion of 1.0 in k 3.096 * [taylor]: Taking taylor expansion of (log +nan.0) in k 3.096 * [taylor]: Taking taylor expansion of +nan.0 in k 3.098 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))) in k 3.098 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)) in k 3.098 * [taylor]: Taking taylor expansion of +nan.0 in k 3.098 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k) in k 3.099 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 3.099 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 3.099 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 3.099 * [taylor]: Taking taylor expansion of 0.5 in k 3.099 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 3.099 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 3.099 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 3.099 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.099 * [taylor]: Taking taylor expansion of +nan.0 in k 3.099 * [taylor]: Taking taylor expansion of PI in k 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.101 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.101 * [taylor]: Taking taylor expansion of k in k 3.102 * [taylor]: Taking taylor expansion of 1.0 in k 3.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 3.106 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 3.106 * [taylor]: Taking taylor expansion of 0.5 in k 3.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 3.106 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.106 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.106 * [taylor]: Taking taylor expansion of k in k 3.106 * [taylor]: Taking taylor expansion of 1.0 in k 3.106 * [taylor]: Taking taylor expansion of (log +nan.0) in k 3.106 * [taylor]: Taking taylor expansion of +nan.0 in k 3.108 * [taylor]: Taking taylor expansion of k in k 3.175 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))))))) in k 3.175 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)))))) in k 3.175 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))))) in k 3.175 * [taylor]: Taking taylor expansion of +nan.0 in k 3.175 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 3.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 3.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 3.175 * [taylor]: Taking taylor expansion of 0.5 in k 3.175 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 3.175 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 3.175 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 3.175 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.175 * [taylor]: Taking taylor expansion of +nan.0 in k 3.175 * [taylor]: Taking taylor expansion of PI in k 3.178 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.178 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.178 * [taylor]: Taking taylor expansion of k in k 3.178 * [taylor]: Taking taylor expansion of 1.0 in k 3.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 3.183 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 3.183 * [taylor]: Taking taylor expansion of 0.5 in k 3.183 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 3.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.183 * [taylor]: Taking taylor expansion of k in k 3.183 * [taylor]: Taking taylor expansion of 1.0 in k 3.183 * [taylor]: Taking taylor expansion of (log +nan.0) in k 3.183 * [taylor]: Taking taylor expansion of +nan.0 in k 3.185 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))))) in k 3.185 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)))) in k 3.185 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2))) in k 3.185 * [taylor]: Taking taylor expansion of +nan.0 in k 3.185 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) (pow k 2)) in k 3.185 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 3.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 3.185 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 3.185 * [taylor]: Taking taylor expansion of 0.5 in k 3.185 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 3.185 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 3.185 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 3.185 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.185 * [taylor]: Taking taylor expansion of +nan.0 in k 3.185 * [taylor]: Taking taylor expansion of PI in k 3.188 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.188 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.188 * [taylor]: Taking taylor expansion of k in k 3.188 * [taylor]: Taking taylor expansion of 1.0 in k 3.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 3.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 3.193 * [taylor]: Taking taylor expansion of 0.5 in k 3.193 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 3.193 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.193 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.193 * [taylor]: Taking taylor expansion of k in k 3.193 * [taylor]: Taking taylor expansion of 1.0 in k 3.193 * [taylor]: Taking taylor expansion of (log +nan.0) in k 3.193 * [taylor]: Taking taylor expansion of +nan.0 in k 3.195 * [taylor]: Taking taylor expansion of (pow k 2) in k 3.195 * [taylor]: Taking taylor expansion of k in k 3.204 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k))) in k 3.204 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k)) in k 3.204 * [taylor]: Taking taylor expansion of +nan.0 in k 3.204 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) k) in k 3.204 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))))) in k 3.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)))) in k 3.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0))) in k 3.204 * [taylor]: Taking taylor expansion of 0.5 in k 3.204 * [taylor]: Taking taylor expansion of (* (log (- (* +nan.0 PI))) (+ (/ 1 k) 1.0)) in k 3.204 * [taylor]: Taking taylor expansion of (log (- (* +nan.0 PI))) in k 3.204 * [taylor]: Taking taylor expansion of (- (* +nan.0 PI)) in k 3.204 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.204 * [taylor]: Taking taylor expansion of +nan.0 in k 3.204 * [taylor]: Taking taylor expansion of PI in k 3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.207 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.207 * [taylor]: Taking taylor expansion of k in k 3.207 * [taylor]: Taking taylor expansion of 1.0 in k 3.212 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0)))) in k 3.212 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log +nan.0))) in k 3.212 * [taylor]: Taking taylor expansion of 0.5 in k 3.212 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log +nan.0)) in k 3.212 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.212 * [taylor]: Taking taylor expansion of k in k 3.212 * [taylor]: Taking taylor expansion of 1.0 in k 3.212 * [taylor]: Taking taylor expansion of (log +nan.0) in k 3.212 * [taylor]: Taking taylor expansion of +nan.0 in k 3.214 * [taylor]: Taking taylor expansion of k in k 3.246 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.246 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in (k n) around 0 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in n 3.247 * [taylor]: Taking taylor expansion of 1.0 in n 3.247 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in n 3.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.247 * [taylor]: Taking taylor expansion of k in n 3.247 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in n 3.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in n 3.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in n 3.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.247 * [taylor]: Taking taylor expansion of 0.5 in n 3.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.247 * [taylor]: Taking taylor expansion of 1.0 in n 3.247 * [taylor]: Taking taylor expansion of k in n 3.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.247 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.247 * [taylor]: Taking taylor expansion of 2.0 in n 3.247 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.247 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.247 * [taylor]: Taking taylor expansion of n in n 3.248 * [taylor]: Taking taylor expansion of PI in n 3.256 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in n 3.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in n 3.256 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in n 3.256 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.256 * [taylor]: Taking taylor expansion of 0.5 in n 3.256 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.256 * [taylor]: Taking taylor expansion of 1.0 in n 3.256 * [taylor]: Taking taylor expansion of k in n 3.256 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.256 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.256 * [taylor]: Taking taylor expansion of n in n 3.259 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in k 3.259 * [taylor]: Taking taylor expansion of 1.0 in k 3.259 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in k 3.259 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.259 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.259 * [taylor]: Taking taylor expansion of k in k 3.260 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 3.260 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 3.260 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 3.260 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 3.260 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.260 * [taylor]: Taking taylor expansion of 0.5 in k 3.260 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.260 * [taylor]: Taking taylor expansion of 1.0 in k 3.260 * [taylor]: Taking taylor expansion of k in k 3.260 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 3.260 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 3.260 * [taylor]: Taking taylor expansion of 2.0 in k 3.260 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 3.260 * [taylor]: Taking taylor expansion of (sqrt n) in k 3.260 * [taylor]: Taking taylor expansion of n in k 3.260 * [taylor]: Taking taylor expansion of PI in k 3.261 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 3.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 3.261 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 3.262 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.262 * [taylor]: Taking taylor expansion of 0.5 in k 3.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.262 * [taylor]: Taking taylor expansion of 1.0 in k 3.262 * [taylor]: Taking taylor expansion of k in k 3.262 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 3.262 * [taylor]: Taking taylor expansion of (sqrt n) in k 3.262 * [taylor]: Taking taylor expansion of n in k 3.263 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))))) in k 3.263 * [taylor]: Taking taylor expansion of 1.0 in k 3.263 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k))))) in k 3.263 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.263 * [taylor]: Taking taylor expansion of k in k 3.264 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) (pow (sqrt n) (* 0.5 (- 1.0 k)))) in k 3.264 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt n) PI)) (* 0.5 (- 1.0 k))) in k 3.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI))))) in k 3.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* (sqrt n) PI)))) in k 3.264 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.264 * [taylor]: Taking taylor expansion of 0.5 in k 3.264 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.264 * [taylor]: Taking taylor expansion of 1.0 in k 3.264 * [taylor]: Taking taylor expansion of k in k 3.264 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in k 3.264 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in k 3.264 * [taylor]: Taking taylor expansion of 2.0 in k 3.264 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in k 3.264 * [taylor]: Taking taylor expansion of (sqrt n) in k 3.264 * [taylor]: Taking taylor expansion of n in k 3.264 * [taylor]: Taking taylor expansion of PI in k 3.265 * [taylor]: Taking taylor expansion of (pow (sqrt n) (* 0.5 (- 1.0 k))) in k 3.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (sqrt n)))) in k 3.265 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (sqrt n))) in k 3.265 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.265 * [taylor]: Taking taylor expansion of 0.5 in k 3.265 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.265 * [taylor]: Taking taylor expansion of 1.0 in k 3.265 * [taylor]: Taking taylor expansion of k in k 3.265 * [taylor]: Taking taylor expansion of (log (sqrt n)) in k 3.265 * [taylor]: Taking taylor expansion of (sqrt n) in k 3.265 * [taylor]: Taking taylor expansion of n in k 3.268 * [taylor]: Taking taylor expansion of 0 in n 3.280 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.280 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.280 * [taylor]: Taking taylor expansion of +nan.0 in n 3.280 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.280 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.280 * [taylor]: Taking taylor expansion of 0.5 in n 3.280 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.280 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.280 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.280 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.280 * [taylor]: Taking taylor expansion of 1.0 in n 3.280 * [taylor]: Taking taylor expansion of (log PI) in n 3.280 * [taylor]: Taking taylor expansion of PI in n 3.282 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.282 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.282 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.282 * [taylor]: Taking taylor expansion of 1.0 in n 3.282 * [taylor]: Taking taylor expansion of (log n) in n 3.282 * [taylor]: Taking taylor expansion of n in n 3.283 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.283 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.283 * [taylor]: Taking taylor expansion of 1.0 in n 3.283 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.283 * [taylor]: Taking taylor expansion of 2.0 in n 3.321 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 3.321 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 3.321 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.321 * [taylor]: Taking taylor expansion of +nan.0 in n 3.321 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.321 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.321 * [taylor]: Taking taylor expansion of 0.5 in n 3.321 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.321 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.321 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.321 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.321 * [taylor]: Taking taylor expansion of 1.0 in n 3.321 * [taylor]: Taking taylor expansion of (log PI) in n 3.321 * [taylor]: Taking taylor expansion of PI in n 3.323 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.323 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.323 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.323 * [taylor]: Taking taylor expansion of 1.0 in n 3.323 * [taylor]: Taking taylor expansion of (log n) in n 3.323 * [taylor]: Taking taylor expansion of n in n 3.324 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.324 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.324 * [taylor]: Taking taylor expansion of 1.0 in n 3.324 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.324 * [taylor]: Taking taylor expansion of 2.0 in n 3.329 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 3.329 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 3.329 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) in n 3.329 * [taylor]: Taking taylor expansion of +nan.0 in n 3.329 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI)))) in n 3.329 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.329 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.329 * [taylor]: Taking taylor expansion of 0.5 in n 3.329 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.329 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.329 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.329 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.329 * [taylor]: Taking taylor expansion of 1.0 in n 3.329 * [taylor]: Taking taylor expansion of (log PI) in n 3.329 * [taylor]: Taking taylor expansion of PI in n 3.331 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.331 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.331 * [taylor]: Taking taylor expansion of 1.0 in n 3.331 * [taylor]: Taking taylor expansion of (log n) in n 3.331 * [taylor]: Taking taylor expansion of n in n 3.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.332 * [taylor]: Taking taylor expansion of 1.0 in n 3.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.332 * [taylor]: Taking taylor expansion of 2.0 in n 3.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.338 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.338 * [taylor]: Taking taylor expansion of 2.0 in n 3.338 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.338 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.338 * [taylor]: Taking taylor expansion of n in n 3.339 * [taylor]: Taking taylor expansion of PI in n 3.343 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.343 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.343 * [taylor]: Taking taylor expansion of +nan.0 in n 3.343 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.343 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.343 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.343 * [taylor]: Taking taylor expansion of n in n 3.345 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.345 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.345 * [taylor]: Taking taylor expansion of 0.5 in n 3.345 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.345 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.345 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.345 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.345 * [taylor]: Taking taylor expansion of 1.0 in n 3.345 * [taylor]: Taking taylor expansion of (log PI) in n 3.345 * [taylor]: Taking taylor expansion of PI in n 3.347 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.347 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.347 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.347 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.347 * [taylor]: Taking taylor expansion of 1.0 in n 3.347 * [taylor]: Taking taylor expansion of (log n) in n 3.347 * [taylor]: Taking taylor expansion of n in n 3.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.348 * [taylor]: Taking taylor expansion of 1.0 in n 3.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.348 * [taylor]: Taking taylor expansion of 2.0 in n 3.449 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))))))) in n 3.449 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))))))) in n 3.449 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.449 * [taylor]: Taking taylor expansion of +nan.0 in n 3.449 * [taylor]: Taking taylor expansion of (* (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.449 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (log (* 2.0 (* (sqrt n) PI)))) in n 3.449 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.449 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.449 * [taylor]: Taking taylor expansion of n in n 3.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.450 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.450 * [taylor]: Taking taylor expansion of 2.0 in n 3.450 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.450 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.450 * [taylor]: Taking taylor expansion of n in n 3.452 * [taylor]: Taking taylor expansion of PI in n 3.456 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.456 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.456 * [taylor]: Taking taylor expansion of 0.5 in n 3.456 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.456 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.456 * [taylor]: Taking taylor expansion of 1.0 in n 3.456 * [taylor]: Taking taylor expansion of (log PI) in n 3.456 * [taylor]: Taking taylor expansion of PI in n 3.458 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.458 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.458 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.458 * [taylor]: Taking taylor expansion of 1.0 in n 3.458 * [taylor]: Taking taylor expansion of (log n) in n 3.458 * [taylor]: Taking taylor expansion of n in n 3.459 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.459 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.459 * [taylor]: Taking taylor expansion of 1.0 in n 3.459 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.459 * [taylor]: Taking taylor expansion of 2.0 in n 3.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))))) in n 3.464 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))))) in n 3.464 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.464 * [taylor]: Taking taylor expansion of +nan.0 in n 3.464 * [taylor]: Taking taylor expansion of (* (pow (log (sqrt n)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.464 * [taylor]: Taking taylor expansion of (pow (log (sqrt n)) 2) in n 3.464 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.464 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.464 * [taylor]: Taking taylor expansion of n in n 3.471 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.471 * [taylor]: Taking taylor expansion of 0.5 in n 3.471 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.471 * [taylor]: Taking taylor expansion of 1.0 in n 3.471 * [taylor]: Taking taylor expansion of (log PI) in n 3.471 * [taylor]: Taking taylor expansion of PI in n 3.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.473 * [taylor]: Taking taylor expansion of 1.0 in n 3.473 * [taylor]: Taking taylor expansion of (log n) in n 3.473 * [taylor]: Taking taylor expansion of n in n 3.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.474 * [taylor]: Taking taylor expansion of 1.0 in n 3.474 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.474 * [taylor]: Taking taylor expansion of 2.0 in n 3.480 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))))) in n 3.480 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))))) in n 3.480 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI))))) in n 3.480 * [taylor]: Taking taylor expansion of +nan.0 in n 3.480 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* (sqrt n) PI)))) in n 3.480 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.480 * [taylor]: Taking taylor expansion of 0.5 in n 3.480 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.480 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.480 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.480 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.480 * [taylor]: Taking taylor expansion of 1.0 in n 3.480 * [taylor]: Taking taylor expansion of (log PI) in n 3.480 * [taylor]: Taking taylor expansion of PI in n 3.482 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.482 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.482 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.482 * [taylor]: Taking taylor expansion of 1.0 in n 3.482 * [taylor]: Taking taylor expansion of (log n) in n 3.482 * [taylor]: Taking taylor expansion of n in n 3.483 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.483 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.483 * [taylor]: Taking taylor expansion of 1.0 in n 3.483 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.483 * [taylor]: Taking taylor expansion of 2.0 in n 3.488 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.488 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.488 * [taylor]: Taking taylor expansion of 2.0 in n 3.488 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.488 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.488 * [taylor]: Taking taylor expansion of n in n 3.489 * [taylor]: Taking taylor expansion of PI in n 3.494 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))))) in n 3.494 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))))) in n 3.494 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.494 * [taylor]: Taking taylor expansion of +nan.0 in n 3.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.494 * [taylor]: Taking taylor expansion of 0.5 in n 3.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.494 * [taylor]: Taking taylor expansion of 1.0 in n 3.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.494 * [taylor]: Taking taylor expansion of 2.0 in n 3.496 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.496 * [taylor]: Taking taylor expansion of 1.0 in n 3.496 * [taylor]: Taking taylor expansion of (log n) in n 3.496 * [taylor]: Taking taylor expansion of n in n 3.497 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.497 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.497 * [taylor]: Taking taylor expansion of 1.0 in n 3.497 * [taylor]: Taking taylor expansion of (log PI) in n 3.497 * [taylor]: Taking taylor expansion of PI in n 3.502 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))))) in n 3.503 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))))) in n 3.503 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.503 * [taylor]: Taking taylor expansion of +nan.0 in n 3.503 * [taylor]: Taking taylor expansion of (* (log (sqrt n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.503 * [taylor]: Taking taylor expansion of (log (sqrt n)) in n 3.503 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.503 * [taylor]: Taking taylor expansion of n in n 3.504 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.504 * [taylor]: Taking taylor expansion of 0.5 in n 3.504 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.504 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.504 * [taylor]: Taking taylor expansion of 1.0 in n 3.505 * [taylor]: Taking taylor expansion of (log PI) in n 3.505 * [taylor]: Taking taylor expansion of PI in n 3.506 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.507 * [taylor]: Taking taylor expansion of 1.0 in n 3.507 * [taylor]: Taking taylor expansion of (log n) in n 3.507 * [taylor]: Taking taylor expansion of n in n 3.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.507 * [taylor]: Taking taylor expansion of 1.0 in n 3.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.507 * [taylor]: Taking taylor expansion of 2.0 in n 3.513 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)))) in n 3.513 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2))) in n 3.513 * [taylor]: Taking taylor expansion of +nan.0 in n 3.513 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* (sqrt n) PI))) 2)) in n 3.513 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.513 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.513 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.513 * [taylor]: Taking taylor expansion of 0.5 in n 3.513 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.513 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.513 * [taylor]: Taking taylor expansion of 1.0 in n 3.513 * [taylor]: Taking taylor expansion of (log PI) in n 3.513 * [taylor]: Taking taylor expansion of PI in n 3.515 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.515 * [taylor]: Taking taylor expansion of 1.0 in n 3.515 * [taylor]: Taking taylor expansion of (log n) in n 3.515 * [taylor]: Taking taylor expansion of n in n 3.516 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.516 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.516 * [taylor]: Taking taylor expansion of 1.0 in n 3.516 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.516 * [taylor]: Taking taylor expansion of 2.0 in n 3.522 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* (sqrt n) PI))) 2) in n 3.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt n) PI))) in n 3.522 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.522 * [taylor]: Taking taylor expansion of 2.0 in n 3.522 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.522 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.522 * [taylor]: Taking taylor expansion of n in n 3.523 * [taylor]: Taking taylor expansion of PI in n 3.753 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 3.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 3.753 * [taylor]: Taking taylor expansion of 1.0 in n 3.753 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.753 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.753 * [taylor]: Taking taylor expansion of k in n 3.753 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.753 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in n 3.753 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in n 3.753 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.753 * [taylor]: Taking taylor expansion of 0.5 in n 3.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.753 * [taylor]: Taking taylor expansion of 1.0 in n 3.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.753 * [taylor]: Taking taylor expansion of k in n 3.753 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.753 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.753 * [taylor]: Taking taylor expansion of n in n 3.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in n 3.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in n 3.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.756 * [taylor]: Taking taylor expansion of 0.5 in n 3.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.756 * [taylor]: Taking taylor expansion of 1.0 in n 3.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.756 * [taylor]: Taking taylor expansion of k in n 3.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.756 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.756 * [taylor]: Taking taylor expansion of 2.0 in n 3.756 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.756 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.756 * [taylor]: Taking taylor expansion of n in n 3.757 * [taylor]: Taking taylor expansion of PI in n 3.764 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.764 * [taylor]: Taking taylor expansion of 1.0 in k 3.764 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.764 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.764 * [taylor]: Taking taylor expansion of k in k 3.765 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.765 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 3.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 3.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.765 * [taylor]: Taking taylor expansion of 0.5 in k 3.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.765 * [taylor]: Taking taylor expansion of 1.0 in k 3.765 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.765 * [taylor]: Taking taylor expansion of k in k 3.766 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 3.766 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.766 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.766 * [taylor]: Taking taylor expansion of n in k 3.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.767 * [taylor]: Taking taylor expansion of 0.5 in k 3.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.767 * [taylor]: Taking taylor expansion of 1.0 in k 3.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.767 * [taylor]: Taking taylor expansion of k in k 3.768 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.768 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.768 * [taylor]: Taking taylor expansion of 2.0 in k 3.768 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.768 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.768 * [taylor]: Taking taylor expansion of n in k 3.768 * [taylor]: Taking taylor expansion of PI in k 3.769 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.769 * [taylor]: Taking taylor expansion of 1.0 in k 3.769 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.769 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.769 * [taylor]: Taking taylor expansion of k in k 3.770 * [taylor]: Taking taylor expansion of (* (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.770 * [taylor]: Taking taylor expansion of (pow (sqrt (/ 1 n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n))))) in k 3.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (sqrt (/ 1 n)))) in k 3.770 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.770 * [taylor]: Taking taylor expansion of 0.5 in k 3.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.770 * [taylor]: Taking taylor expansion of 1.0 in k 3.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.770 * [taylor]: Taking taylor expansion of k in k 3.771 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in k 3.771 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.771 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.771 * [taylor]: Taking taylor expansion of n in k 3.772 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* (sqrt (/ 1 n)) PI)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.772 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI))))) in k 3.772 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (* (sqrt (/ 1 n)) PI)))) in k 3.772 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.772 * [taylor]: Taking taylor expansion of 0.5 in k 3.772 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.772 * [taylor]: Taking taylor expansion of 1.0 in k 3.772 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.772 * [taylor]: Taking taylor expansion of k in k 3.772 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in k 3.772 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in k 3.772 * [taylor]: Taking taylor expansion of 2.0 in k 3.772 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in k 3.772 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in k 3.772 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.772 * [taylor]: Taking taylor expansion of n in k 3.772 * [taylor]: Taking taylor expansion of PI in k 3.774 * [taylor]: Taking taylor expansion of 0 in n 3.776 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))))) in n 3.776 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.776 * [taylor]: Taking taylor expansion of +nan.0 in n 3.776 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) in n 3.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k)))) in n 3.776 * [taylor]: Taking taylor expansion of 0.5 in n 3.776 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))) in n 3.776 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.776 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.776 * [taylor]: Taking taylor expansion of n in n 3.778 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.778 * [taylor]: Taking taylor expansion of 1.0 in n 3.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.778 * [taylor]: Taking taylor expansion of k in n 3.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.779 * [taylor]: Taking taylor expansion of 0.5 in n 3.779 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.779 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.779 * [taylor]: Taking taylor expansion of 2.0 in n 3.779 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.779 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.779 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.779 * [taylor]: Taking taylor expansion of n in n 3.780 * [taylor]: Taking taylor expansion of PI in n 3.784 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.785 * [taylor]: Taking taylor expansion of 1.0 in n 3.785 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.785 * [taylor]: Taking taylor expansion of k in n 3.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))))) in n 3.798 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))))) in n 3.798 * [taylor]: Taking taylor expansion of +nan.0 in n 3.798 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))))) in n 3.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))))) in n 3.798 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k)))) in n 3.798 * [taylor]: Taking taylor expansion of 0.5 in n 3.798 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ 1 n))) (- 1.0 (/ 1 k))) in n 3.798 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 n))) in n 3.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.798 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.798 * [taylor]: Taking taylor expansion of n in n 3.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.800 * [taylor]: Taking taylor expansion of 1.0 in n 3.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.800 * [taylor]: Taking taylor expansion of k in n 3.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))))) in n 3.801 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k)))) in n 3.801 * [taylor]: Taking taylor expansion of 0.5 in n 3.801 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* (sqrt (/ 1 n)) PI))) (- 1.0 (/ 1 k))) in n 3.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (sqrt (/ 1 n)) PI))) in n 3.801 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.801 * [taylor]: Taking taylor expansion of 2.0 in n 3.801 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.801 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.801 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.801 * [taylor]: Taking taylor expansion of n in n 3.802 * [taylor]: Taking taylor expansion of PI in n 3.807 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.807 * [taylor]: Taking taylor expansion of 1.0 in n 3.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.807 * [taylor]: Taking taylor expansion of k in n 3.869 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.869 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.869 * [taylor]: Taking taylor expansion of 1.0 in n 3.869 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.869 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in n 3.869 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in n 3.869 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.869 * [taylor]: Taking taylor expansion of 0.5 in n 3.869 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.869 * [taylor]: Taking taylor expansion of k in n 3.869 * [taylor]: Taking taylor expansion of 1.0 in n 3.869 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.869 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.869 * [taylor]: Taking taylor expansion of 2.0 in n 3.869 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.869 * [taylor]: Taking taylor expansion of PI in n 3.869 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.869 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.869 * [taylor]: Taking taylor expansion of -1 in n 3.869 * [taylor]: Taking taylor expansion of n in n 3.877 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in n 3.877 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in n 3.877 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.877 * [taylor]: Taking taylor expansion of 0.5 in n 3.877 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.877 * [taylor]: Taking taylor expansion of k in n 3.877 * [taylor]: Taking taylor expansion of 1.0 in n 3.877 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.877 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.877 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.877 * [taylor]: Taking taylor expansion of -1 in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.880 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.880 * [taylor]: Taking taylor expansion of -1 in n 3.880 * [taylor]: Taking taylor expansion of k in n 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.883 * [taylor]: Taking taylor expansion of 1.0 in k 3.883 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.883 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.883 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.883 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.883 * [taylor]: Taking taylor expansion of 0.5 in k 3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.883 * [taylor]: Taking taylor expansion of k in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.884 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.884 * [taylor]: Taking taylor expansion of 2.0 in k 3.884 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.884 * [taylor]: Taking taylor expansion of PI in k 3.884 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.884 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.884 * [taylor]: Taking taylor expansion of -1 in k 3.884 * [taylor]: Taking taylor expansion of n in k 3.885 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.885 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.885 * [taylor]: Taking taylor expansion of 0.5 in k 3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.885 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.885 * [taylor]: Taking taylor expansion of k in k 3.886 * [taylor]: Taking taylor expansion of 1.0 in k 3.886 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.886 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.886 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.886 * [taylor]: Taking taylor expansion of -1 in k 3.886 * [taylor]: Taking taylor expansion of n in k 3.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.887 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.887 * [taylor]: Taking taylor expansion of -1 in k 3.887 * [taylor]: Taking taylor expansion of k in k 3.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.888 * [taylor]: Taking taylor expansion of 1.0 in k 3.888 * [taylor]: Taking taylor expansion of (/ (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.888 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.888 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (sqrt (/ -1 n)))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n))))))) in k 3.889 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (sqrt (/ -1 n)))))) in k 3.889 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.889 * [taylor]: Taking taylor expansion of 0.5 in k 3.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.889 * [taylor]: Taking taylor expansion of k in k 3.889 * [taylor]: Taking taylor expansion of 1.0 in k 3.889 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in k 3.889 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in k 3.889 * [taylor]: Taking taylor expansion of 2.0 in k 3.889 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in k 3.889 * [taylor]: Taking taylor expansion of PI in k 3.889 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.889 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.889 * [taylor]: Taking taylor expansion of -1 in k 3.889 * [taylor]: Taking taylor expansion of n in k 3.890 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.890 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n))))) in k 3.890 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (sqrt (/ -1 n)))) in k 3.890 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.890 * [taylor]: Taking taylor expansion of 0.5 in k 3.890 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.890 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.890 * [taylor]: Taking taylor expansion of k in k 3.891 * [taylor]: Taking taylor expansion of 1.0 in k 3.891 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 3.891 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.891 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.891 * [taylor]: Taking taylor expansion of -1 in k 3.891 * [taylor]: Taking taylor expansion of n in k 3.892 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.892 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.892 * [taylor]: Taking taylor expansion of -1 in k 3.892 * [taylor]: Taking taylor expansion of k in k 3.894 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 3.894 * [taylor]: Taking taylor expansion of +nan.0 in n 3.894 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) in n 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0))) in n 3.894 * [taylor]: Taking taylor expansion of 0.5 in n 3.894 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)) in n 3.894 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.894 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.894 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.894 * [taylor]: Taking taylor expansion of -1 in n 3.894 * [taylor]: Taking taylor expansion of n in n 3.895 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.896 * [taylor]: Taking taylor expansion of k in n 3.896 * [taylor]: Taking taylor expansion of 1.0 in n 3.897 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 3.897 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 3.897 * [taylor]: Taking taylor expansion of 0.5 in n 3.897 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 3.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.897 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.897 * [taylor]: Taking taylor expansion of 2.0 in n 3.897 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.897 * [taylor]: Taking taylor expansion of PI in n 3.897 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.897 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.897 * [taylor]: Taking taylor expansion of -1 in n 3.897 * [taylor]: Taking taylor expansion of n in n 3.903 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.903 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.903 * [taylor]: Taking taylor expansion of k in n 3.903 * [taylor]: Taking taylor expansion of 1.0 in n 3.920 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))))) in n 3.920 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))))) in n 3.921 * [taylor]: Taking taylor expansion of +nan.0 in n 3.921 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))))) in n 3.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)))) in n 3.921 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0))) in n 3.921 * [taylor]: Taking taylor expansion of 0.5 in n 3.921 * [taylor]: Taking taylor expansion of (* (log (sqrt (/ -1 n))) (+ (/ 1 k) 1.0)) in n 3.921 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.921 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.921 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.921 * [taylor]: Taking taylor expansion of -1 in n 3.921 * [taylor]: Taking taylor expansion of n in n 3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.923 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.923 * [taylor]: Taking taylor expansion of k in n 3.923 * [taylor]: Taking taylor expansion of 1.0 in n 3.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)))) in n 3.924 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0))) in n 3.924 * [taylor]: Taking taylor expansion of 0.5 in n 3.924 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (sqrt (/ -1 n))))) (+ (/ 1 k) 1.0)) in n 3.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (sqrt (/ -1 n))))) in n 3.924 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.924 * [taylor]: Taking taylor expansion of 2.0 in n 3.924 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.924 * [taylor]: Taking taylor expansion of PI in n 3.924 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.924 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.924 * [taylor]: Taking taylor expansion of -1 in n 3.924 * [taylor]: Taking taylor expansion of n in n 3.930 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.930 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.930 * [taylor]: Taking taylor expansion of k in n 3.930 * [taylor]: Taking taylor expansion of 1.0 in n 3.982 * * * [progress]: simplifying candidates 3.985 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (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) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ (- 1.0 k) 2.0)) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (log (sqrt n)) (/ (- 1.0 k) 2.0))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (log (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (log (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (exp (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 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(pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0)) (pow (sqrt n) (/ k 2.0)))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt k) (pow (sqrt n) (/ k 2.0))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) (sqrt n)) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)))) (+ (- (* +nan.0 (* (pow n 2) PI))) (fma +nan.0 (* n PI) (- (* +nan.0 (* (pow n 3) PI))))) (+ (- (* +nan.0 (/ PI n))) (fma +nan.0 (/ PI (pow n 2)) (- (* +nan.0 PI)))) (+ (- (* +nan.0 (/ PI n))) (fma +nan.0 (/ PI (pow n 2)) (- (* +nan.0 PI)))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (exp (+ (* 0.5 (+ (log +nan.0) (log n))) (* 0.5 (+ (log (- (* +nan.0 PI))) (log n))))) (fma (* 0.5 k) (* (exp (+ (* 0.5 (+ (log +nan.0) (log n))) (* 0.5 (+ (log (- (* +nan.0 PI))) (log n))))) (log (- (* +nan.0 PI)))) (fma (* 1.0 k) (* (exp (+ (* 0.5 (+ (log +nan.0) (log n))) (* 0.5 (+ (log (- (* +nan.0 PI))) (log n))))) (log n)) (* 0.5 (* k (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (* (log +nan.0) (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n))))))))))) (* +nan.0 (* (exp (* 0.5 (+ (log +nan.0) (log n)))) (* n (exp (* 0.5 (+ (log (- (* +nan.0 PI))) (log n)))))))) (- (- (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) n)) (* (/ +nan.0 n) (/ (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n))) (- (- (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) n)) (* (/ +nan.0 n) (/ (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (- (* +nan.0 PI))) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log +nan.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log +nan.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log +nan.0)) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log +nan.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (- (* +nan.0 PI))) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (- (* +nan.0 PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (fma +nan.0 (* (* (pow k 2) (* (log +nan.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))))))))))) (+ (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (pow k 2)))) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) (* k n))) (fma +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k)))))) (+ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (log +nan.0))) (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) (- (* +nan.0 (/ (* k (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI)))))))) n)) (fma +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) n) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log +nan.0)))) (exp (* 0.5 (* (- 1.0 k) (log (- (* +nan.0 PI))))))) k)))))) 4.044 * * * [progress]: adding candidates to table 4.596 * * [progress]: iteration 4 / 4 4.596 * * * [progress]: picking best candidate 4.619 * * * * [pick]: Picked # 4.619 * * * [progress]: localizing error 4.649 * * * [progress]: generating rewritten candidates 4.649 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.667 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 4.677 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 4.684 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 4.699 * * * [progress]: generating series expansions 4.699 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.700 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in (k n) around 0 4.700 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.700 * [taylor]: Taking taylor expansion of 1.0 in n 4.700 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.700 * [taylor]: Taking taylor expansion of k in n 4.701 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.701 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.701 * [taylor]: Taking taylor expansion of 0.5 in n 4.701 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.701 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.701 * [taylor]: Taking taylor expansion of 1.0 in n 4.701 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.701 * [taylor]: Taking taylor expansion of 2.0 in n 4.703 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.703 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.703 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.703 * [taylor]: Taking taylor expansion of 1.0 in n 4.703 * [taylor]: Taking taylor expansion of (log n) in n 4.703 * [taylor]: Taking taylor expansion of n in n 4.704 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.704 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.704 * [taylor]: Taking taylor expansion of 1.0 in n 4.704 * [taylor]: Taking taylor expansion of (log PI) in n 4.704 * [taylor]: Taking taylor expansion of PI in n 4.709 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in k 4.709 * [taylor]: Taking taylor expansion of 1.0 in k 4.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 4.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.710 * [taylor]: Taking taylor expansion of k in k 4.711 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.711 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.711 * [taylor]: Taking taylor expansion of 0.5 in k 4.711 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.711 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.711 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.711 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.711 * [taylor]: Taking taylor expansion of 1.0 in k 4.711 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.711 * [taylor]: Taking taylor expansion of 2.0 in k 4.713 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.713 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.713 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.713 * [taylor]: Taking taylor expansion of 1.0 in k 4.713 * [taylor]: Taking taylor expansion of (log n) in k 4.713 * [taylor]: Taking taylor expansion of n in k 4.713 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.713 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.713 * [taylor]: Taking taylor expansion of 1.0 in k 4.713 * [taylor]: Taking taylor expansion of (log PI) in k 4.713 * [taylor]: Taking taylor expansion of PI in k 4.719 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in k 4.719 * [taylor]: Taking taylor expansion of 1.0 in k 4.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in k 4.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.719 * [taylor]: Taking taylor expansion of k in k 4.720 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.720 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.720 * [taylor]: Taking taylor expansion of 0.5 in k 4.720 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.720 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.720 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.720 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.720 * [taylor]: Taking taylor expansion of 1.0 in k 4.720 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.720 * [taylor]: Taking taylor expansion of 2.0 in k 4.722 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.722 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.722 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.722 * [taylor]: Taking taylor expansion of 1.0 in k 4.722 * [taylor]: Taking taylor expansion of (log n) in k 4.722 * [taylor]: Taking taylor expansion of n in k 4.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.722 * [taylor]: Taking taylor expansion of 1.0 in k 4.722 * [taylor]: Taking taylor expansion of (log PI) in k 4.722 * [taylor]: Taking taylor expansion of PI in k 4.729 * [taylor]: Taking taylor expansion of 0 in n 4.742 * [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 4.742 * [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 4.742 * [taylor]: Taking taylor expansion of +nan.0 in n 4.742 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.742 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.742 * [taylor]: Taking taylor expansion of 0.5 in n 4.742 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.742 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.742 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.742 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.742 * [taylor]: Taking taylor expansion of 2.0 in n 4.744 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.744 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.744 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.744 * [taylor]: Taking taylor expansion of 1.0 in n 4.744 * [taylor]: Taking taylor expansion of (log n) in n 4.744 * [taylor]: Taking taylor expansion of n in n 4.745 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.745 * [taylor]: Taking taylor expansion of 1.0 in n 4.745 * [taylor]: Taking taylor expansion of (log PI) in n 4.745 * [taylor]: Taking taylor expansion of PI in n 4.781 * [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 4.781 * [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 4.781 * [taylor]: Taking taylor expansion of +nan.0 in n 4.781 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.781 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.781 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.781 * [taylor]: Taking taylor expansion of 0.5 in n 4.781 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.781 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.781 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.781 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.781 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.781 * [taylor]: Taking taylor expansion of 1.0 in n 4.781 * [taylor]: Taking taylor expansion of (log PI) in n 4.781 * [taylor]: Taking taylor expansion of PI in n 4.783 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.783 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.783 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.783 * [taylor]: Taking taylor expansion of 1.0 in n 4.783 * [taylor]: Taking taylor expansion of (log n) in n 4.783 * [taylor]: Taking taylor expansion of n in n 4.784 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.784 * [taylor]: Taking taylor expansion of 1.0 in n 4.784 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.784 * [taylor]: Taking taylor expansion of 2.0 in n 4.834 * [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 4.834 * [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 4.834 * [taylor]: Taking taylor expansion of +nan.0 in n 4.834 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.834 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.834 * [taylor]: Taking taylor expansion of 0.5 in n 4.834 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.834 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.834 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.834 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.834 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.834 * [taylor]: Taking taylor expansion of 1.0 in n 4.834 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.834 * [taylor]: Taking taylor expansion of 2.0 in n 4.836 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.836 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.836 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.836 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.836 * [taylor]: Taking taylor expansion of 1.0 in n 4.836 * [taylor]: Taking taylor expansion of (log n) in n 4.836 * [taylor]: Taking taylor expansion of n in n 4.837 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.837 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.837 * [taylor]: Taking taylor expansion of 1.0 in n 4.837 * [taylor]: Taking taylor expansion of (log PI) in n 4.837 * [taylor]: Taking taylor expansion of PI in n 4.854 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 4.854 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.854 * [taylor]: Taking taylor expansion of 1.0 in n 4.854 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.854 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.854 * [taylor]: Taking taylor expansion of k in n 4.855 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.855 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.855 * [taylor]: Taking taylor expansion of 0.5 in n 4.855 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.855 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.855 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.855 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.855 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.855 * [taylor]: Taking taylor expansion of 1.0 in n 4.855 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.855 * [taylor]: Taking taylor expansion of 2.0 in n 4.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.857 * [taylor]: Taking taylor expansion of 1.0 in n 4.857 * [taylor]: Taking taylor expansion of (log PI) in n 4.857 * [taylor]: Taking taylor expansion of PI in n 4.858 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.859 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.859 * [taylor]: Taking taylor expansion of 1.0 in n 4.859 * [taylor]: Taking taylor expansion of (log n) in n 4.859 * [taylor]: Taking taylor expansion of n in n 4.866 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.866 * [taylor]: Taking taylor expansion of 1.0 in k 4.866 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.866 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.866 * [taylor]: Taking taylor expansion of k in k 4.867 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.867 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.867 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.867 * [taylor]: Taking taylor expansion of 0.5 in k 4.867 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.867 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.867 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.867 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.867 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.867 * [taylor]: Taking taylor expansion of 1.0 in k 4.867 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.867 * [taylor]: Taking taylor expansion of 2.0 in k 4.869 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.869 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.869 * [taylor]: Taking taylor expansion of 1.0 in k 4.869 * [taylor]: Taking taylor expansion of (log PI) in k 4.869 * [taylor]: Taking taylor expansion of PI in k 4.871 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.871 * [taylor]: Taking taylor expansion of 1.0 in k 4.871 * [taylor]: Taking taylor expansion of (log n) in k 4.871 * [taylor]: Taking taylor expansion of n in k 4.878 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.878 * [taylor]: Taking taylor expansion of 1.0 in k 4.878 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.878 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.878 * [taylor]: Taking taylor expansion of k in k 4.879 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.879 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.879 * [taylor]: Taking taylor expansion of 0.5 in k 4.879 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.879 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.879 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.879 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.879 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.879 * [taylor]: Taking taylor expansion of 1.0 in k 4.879 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.879 * [taylor]: Taking taylor expansion of 2.0 in k 4.881 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.881 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.881 * [taylor]: Taking taylor expansion of 1.0 in k 4.881 * [taylor]: Taking taylor expansion of (log PI) in k 4.881 * [taylor]: Taking taylor expansion of PI in k 4.883 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.883 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.883 * [taylor]: Taking taylor expansion of 1.0 in k 4.883 * [taylor]: Taking taylor expansion of (log n) in k 4.883 * [taylor]: Taking taylor expansion of n in k 4.891 * [taylor]: Taking taylor expansion of 0 in n 4.907 * [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 4.907 * [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 4.907 * [taylor]: Taking taylor expansion of +nan.0 in n 4.908 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.908 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.908 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.908 * [taylor]: Taking taylor expansion of 0.5 in n 4.908 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.908 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.908 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.908 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.908 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.908 * [taylor]: Taking taylor expansion of 1.0 in n 4.908 * [taylor]: Taking taylor expansion of (log PI) in n 4.908 * [taylor]: Taking taylor expansion of PI in n 4.910 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.910 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.910 * [taylor]: Taking taylor expansion of 1.0 in n 4.910 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.910 * [taylor]: Taking taylor expansion of 2.0 in n 4.912 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.912 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.912 * [taylor]: Taking taylor expansion of 1.0 in n 4.912 * [taylor]: Taking taylor expansion of (log n) in n 4.912 * [taylor]: Taking taylor expansion of n in n 4.957 * [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 4.957 * [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 4.957 * [taylor]: Taking taylor expansion of +nan.0 in n 4.957 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.957 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.957 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.957 * [taylor]: Taking taylor expansion of 0.5 in n 4.957 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.957 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.957 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.957 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.957 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.957 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.957 * [taylor]: Taking taylor expansion of 1.0 in n 4.957 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.957 * [taylor]: Taking taylor expansion of 2.0 in n 4.959 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.959 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.959 * [taylor]: Taking taylor expansion of 1.0 in n 4.959 * [taylor]: Taking taylor expansion of (log PI) in n 4.959 * [taylor]: Taking taylor expansion of PI in n 4.961 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.961 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.961 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.961 * [taylor]: Taking taylor expansion of 1.0 in n 4.961 * [taylor]: Taking taylor expansion of (log n) in n 4.961 * [taylor]: Taking taylor expansion of n in n 5.022 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 5.022 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 5.022 * [taylor]: Taking taylor expansion of +nan.0 in n 5.022 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.022 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.022 * [taylor]: Taking taylor expansion of 0.5 in n 5.022 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.022 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.022 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.022 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.022 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.023 * [taylor]: Taking taylor expansion of 1.0 in n 5.023 * [taylor]: Taking taylor expansion of (log PI) in n 5.023 * [taylor]: Taking taylor expansion of PI in n 5.024 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.025 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.025 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.025 * [taylor]: Taking taylor expansion of 1.0 in n 5.025 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.025 * [taylor]: Taking taylor expansion of 2.0 in n 5.026 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.026 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.026 * [taylor]: Taking taylor expansion of 1.0 in n 5.027 * [taylor]: Taking taylor expansion of (log n) in n 5.027 * [taylor]: Taking taylor expansion of n in n 5.050 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in (k n) around 0 5.050 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in n 5.050 * [taylor]: Taking taylor expansion of 1.0 in n 5.050 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 5.050 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.050 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.050 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.050 * [taylor]: Taking taylor expansion of 0.5 in n 5.050 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.050 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.050 * [taylor]: Taking taylor expansion of 1.0 in n 5.050 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.050 * [taylor]: Taking taylor expansion of 2.0 in n 5.052 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.052 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.052 * [taylor]: Taking taylor expansion of 1.0 in n 5.052 * [taylor]: Taking taylor expansion of (log PI) in n 5.052 * [taylor]: Taking taylor expansion of PI in n 5.067 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.067 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.067 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.067 * [taylor]: Taking taylor expansion of -1 in n 5.067 * [taylor]: Taking taylor expansion of k in n 5.067 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.067 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.067 * [taylor]: Taking taylor expansion of 1.0 in n 5.067 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.067 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.067 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.067 * [taylor]: Taking taylor expansion of 1.0 in n 5.067 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.067 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.067 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.067 * [taylor]: Taking taylor expansion of -1 in n 5.067 * [taylor]: Taking taylor expansion of n in n 5.074 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 5.074 * [taylor]: Taking taylor expansion of 1.0 in k 5.074 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 5.074 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 5.074 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 5.074 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 5.074 * [taylor]: Taking taylor expansion of 0.5 in k 5.074 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 5.074 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.074 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.074 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.074 * [taylor]: Taking taylor expansion of 1.0 in k 5.074 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.074 * [taylor]: Taking taylor expansion of 2.0 in k 5.076 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.076 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.076 * [taylor]: Taking taylor expansion of 1.0 in k 5.076 * [taylor]: Taking taylor expansion of (log PI) in k 5.076 * [taylor]: Taking taylor expansion of PI in k 5.090 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 5.090 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.090 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.090 * [taylor]: Taking taylor expansion of -1 in k 5.090 * [taylor]: Taking taylor expansion of k in k 5.092 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 5.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 5.092 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 5.092 * [taylor]: Taking taylor expansion of 1.0 in k 5.092 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 5.092 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 5.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 5.092 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 5.092 * [taylor]: Taking taylor expansion of 1.0 in k 5.092 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 5.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 5.092 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.092 * [taylor]: Taking taylor expansion of -1 in k 5.092 * [taylor]: Taking taylor expansion of n in k 5.092 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)))) in k 5.092 * [taylor]: Taking taylor expansion of 1.0 in k 5.093 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 5.093 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 5.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 5.093 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 5.093 * [taylor]: Taking taylor expansion of 0.5 in k 5.093 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 5.093 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.093 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.093 * [taylor]: Taking taylor expansion of 1.0 in k 5.093 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.093 * [taylor]: Taking taylor expansion of 2.0 in k 5.095 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.095 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.095 * [taylor]: Taking taylor expansion of 1.0 in k 5.095 * [taylor]: Taking taylor expansion of (log PI) in k 5.095 * [taylor]: Taking taylor expansion of PI in k 5.109 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 5.109 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.109 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.109 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.109 * [taylor]: Taking taylor expansion of -1 in k 5.109 * [taylor]: Taking taylor expansion of k in k 5.111 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 5.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 5.111 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 5.111 * [taylor]: Taking taylor expansion of 1.0 in k 5.111 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 5.111 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 5.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 5.111 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 5.111 * [taylor]: Taking taylor expansion of 1.0 in k 5.111 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 5.111 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 5.111 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.111 * [taylor]: Taking taylor expansion of -1 in k 5.111 * [taylor]: Taking taylor expansion of n in k 5.118 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 5.119 * [taylor]: Taking taylor expansion of +nan.0 in n 5.119 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.119 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.119 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.119 * [taylor]: Taking taylor expansion of 0.5 in n 5.119 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.119 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.119 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.119 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.119 * [taylor]: Taking taylor expansion of 1.0 in n 5.119 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.119 * [taylor]: Taking taylor expansion of 2.0 in n 5.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (log PI) in n 5.121 * [taylor]: Taking taylor expansion of PI in n 5.142 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.142 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.142 * [taylor]: Taking taylor expansion of 1.0 in n 5.142 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.142 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.142 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.142 * [taylor]: Taking taylor expansion of 1.0 in n 5.142 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.142 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.142 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.142 * [taylor]: Taking taylor expansion of -1 in n 5.142 * [taylor]: Taking taylor expansion of n in n 5.187 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n))))) in n 5.187 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n)))) in n 5.188 * [taylor]: Taking taylor expansion of +nan.0 in n 5.188 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (sqrt (/ -1 n))) in n 5.188 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in n 5.188 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in n 5.188 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in n 5.188 * [taylor]: Taking taylor expansion of 0.5 in n 5.188 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in n 5.188 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.188 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.188 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.188 * [taylor]: Taking taylor expansion of 1.0 in n 5.188 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.188 * [taylor]: Taking taylor expansion of 2.0 in n 5.190 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.190 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.190 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.190 * [taylor]: Taking taylor expansion of 1.0 in n 5.190 * [taylor]: Taking taylor expansion of (log PI) in n 5.190 * [taylor]: Taking taylor expansion of PI in n 5.205 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.205 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.205 * [taylor]: Taking taylor expansion of -1 in n 5.205 * [taylor]: Taking taylor expansion of n in n 5.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.309 * [approximate]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in (n) around 0 5.309 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.309 * [taylor]: Taking taylor expansion of 0.5 in n 5.309 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.309 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.309 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.309 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.309 * [taylor]: Taking taylor expansion of 1.0 in n 5.310 * [taylor]: Taking taylor expansion of (log PI) in n 5.310 * [taylor]: Taking taylor expansion of PI in n 5.311 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.312 * [taylor]: Taking taylor expansion of 1.0 in n 5.312 * [taylor]: Taking taylor expansion of (log n) in n 5.312 * [taylor]: Taking taylor expansion of n in n 5.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.312 * [taylor]: Taking taylor expansion of 1.0 in n 5.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.312 * [taylor]: Taking taylor expansion of 2.0 in n 5.318 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.318 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.318 * [taylor]: Taking taylor expansion of 0.5 in n 5.318 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.318 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.318 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.318 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.318 * [taylor]: Taking taylor expansion of 1.0 in n 5.318 * [taylor]: Taking taylor expansion of (log PI) in n 5.318 * [taylor]: Taking taylor expansion of PI in n 5.320 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.320 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.320 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.320 * [taylor]: Taking taylor expansion of 1.0 in n 5.320 * [taylor]: Taking taylor expansion of (log n) in n 5.320 * [taylor]: Taking taylor expansion of n in n 5.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.321 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.321 * [taylor]: Taking taylor expansion of 1.0 in n 5.321 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.321 * [taylor]: Taking taylor expansion of 2.0 in n 5.572 * [approximate]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in (n) around 0 5.572 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.572 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.572 * [taylor]: Taking taylor expansion of 0.5 in n 5.572 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.572 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.572 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.572 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.572 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.572 * [taylor]: Taking taylor expansion of 1.0 in n 5.572 * [taylor]: Taking taylor expansion of (log PI) in n 5.572 * [taylor]: Taking taylor expansion of PI in n 5.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.574 * [taylor]: Taking taylor expansion of 1.0 in n 5.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.574 * [taylor]: Taking taylor expansion of 2.0 in n 5.576 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.576 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.576 * [taylor]: Taking taylor expansion of 1.0 in n 5.576 * [taylor]: Taking taylor expansion of (log n) in n 5.576 * [taylor]: Taking taylor expansion of n in n 5.583 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.583 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.583 * [taylor]: Taking taylor expansion of 0.5 in n 5.583 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.583 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.583 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.583 * [taylor]: Taking taylor expansion of 1.0 in n 5.583 * [taylor]: Taking taylor expansion of (log PI) in n 5.583 * [taylor]: Taking taylor expansion of PI in n 5.585 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.586 * [taylor]: Taking taylor expansion of 1.0 in n 5.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.586 * [taylor]: Taking taylor expansion of 2.0 in n 5.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.588 * [taylor]: Taking taylor expansion of 1.0 in n 5.588 * [taylor]: Taking taylor expansion of (log n) in n 5.588 * [taylor]: Taking taylor expansion of n in n 5.859 * [approximate]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in (n) around 0 5.859 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.859 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 5.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.860 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.860 * [taylor]: Taking taylor expansion of 0.5 in n 5.860 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.860 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.860 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.860 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.860 * [taylor]: Taking taylor expansion of 1.0 in n 5.860 * [taylor]: Taking taylor expansion of (log PI) in n 5.860 * [taylor]: Taking taylor expansion of PI in n 5.862 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.862 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.862 * [taylor]: Taking taylor expansion of 1.0 in n 5.862 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.862 * [taylor]: Taking taylor expansion of 2.0 in n 5.882 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.882 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.882 * [taylor]: Taking taylor expansion of 1.0 in n 5.882 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.882 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.882 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.882 * [taylor]: Taking taylor expansion of 1.0 in n 5.882 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.882 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.882 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.882 * [taylor]: Taking taylor expansion of -1 in n 5.882 * [taylor]: Taking taylor expansion of n in n 5.889 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 5.889 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 5.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.889 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.889 * [taylor]: Taking taylor expansion of 0.5 in n 5.889 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.889 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.889 * [taylor]: Taking taylor expansion of 1.0 in n 5.889 * [taylor]: Taking taylor expansion of (log PI) in n 5.889 * [taylor]: Taking taylor expansion of PI in n 5.891 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.891 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.891 * [taylor]: Taking taylor expansion of 1.0 in n 5.891 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.891 * [taylor]: Taking taylor expansion of 2.0 in n 5.905 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 5.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 5.906 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 5.906 * [taylor]: Taking taylor expansion of 1.0 in n 5.906 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 5.906 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 5.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 5.906 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 5.906 * [taylor]: Taking taylor expansion of 1.0 in n 5.906 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 5.906 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 5.906 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.906 * [taylor]: Taking taylor expansion of -1 in n 5.906 * [taylor]: Taking taylor expansion of n in n 6.055 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 6.055 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 6.055 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.055 * [taylor]: Taking taylor expansion of 2.0 in n 6.055 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.055 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.055 * [taylor]: Taking taylor expansion of n in n 6.056 * [taylor]: Taking taylor expansion of PI in n 6.056 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.056 * [taylor]: Taking taylor expansion of 2.0 in n 6.056 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.056 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.056 * [taylor]: Taking taylor expansion of n in n 6.057 * [taylor]: Taking taylor expansion of PI in n 6.079 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 6.079 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.079 * [taylor]: Taking taylor expansion of 2.0 in n 6.079 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.079 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.079 * [taylor]: Taking taylor expansion of n in n 6.080 * [taylor]: Taking taylor expansion of PI in n 6.080 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.080 * [taylor]: Taking taylor expansion of 2.0 in n 6.080 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.080 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.081 * [taylor]: Taking taylor expansion of n in n 6.082 * [taylor]: Taking taylor expansion of PI in n 6.105 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 6.105 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.105 * [taylor]: Taking taylor expansion of 2.0 in n 6.105 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.105 * [taylor]: Taking taylor expansion of PI in n 6.105 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.105 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.105 * [taylor]: Taking taylor expansion of -1 in n 6.105 * [taylor]: Taking taylor expansion of n in n 6.106 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.106 * [taylor]: Taking taylor expansion of 2.0 in n 6.106 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.106 * [taylor]: Taking taylor expansion of PI in n 6.106 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.107 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.107 * [taylor]: Taking taylor expansion of -1 in n 6.107 * [taylor]: Taking taylor expansion of n in n 6.128 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 6.129 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 6.129 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.129 * [taylor]: Taking taylor expansion of 2.0 in n 6.129 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.129 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.129 * [taylor]: Taking taylor expansion of n in n 6.130 * [taylor]: Taking taylor expansion of PI in n 6.130 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 6.130 * [taylor]: Taking taylor expansion of 2.0 in n 6.130 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 6.130 * [taylor]: Taking taylor expansion of (sqrt n) in n 6.130 * [taylor]: Taking taylor expansion of n in n 6.131 * [taylor]: Taking taylor expansion of PI in n 6.160 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 6.160 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.160 * [taylor]: Taking taylor expansion of 2.0 in n 6.160 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.160 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.160 * [taylor]: Taking taylor expansion of n in n 6.161 * [taylor]: Taking taylor expansion of PI in n 6.161 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 6.161 * [taylor]: Taking taylor expansion of 2.0 in n 6.161 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 6.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 6.161 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.161 * [taylor]: Taking taylor expansion of n in n 6.162 * [taylor]: Taking taylor expansion of PI in n 6.186 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 6.187 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.187 * [taylor]: Taking taylor expansion of 2.0 in n 6.187 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.187 * [taylor]: Taking taylor expansion of PI in n 6.187 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.187 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.187 * [taylor]: Taking taylor expansion of -1 in n 6.187 * [taylor]: Taking taylor expansion of n in n 6.188 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 6.188 * [taylor]: Taking taylor expansion of 2.0 in n 6.188 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 6.188 * [taylor]: Taking taylor expansion of PI in n 6.188 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 6.188 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.188 * [taylor]: Taking taylor expansion of -1 in n 6.188 * [taylor]: Taking taylor expansion of n in n 6.210 * * * [progress]: simplifying candidates 6.213 * [simplify]: Simplifying using # : (expm1 (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0)))) (+ (- 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2))))))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) 6.225 * * [simplify]: iteration 0 : 839 enodes (cost 2023 ) 6.239 * * [simplify]: iteration 1 : 3359 enodes (cost 1774 ) 6.299 * * [simplify]: iteration 2 : 5001 enodes (cost 1761 ) 6.314 * [simplify]: Simplified to: (expm1 (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (fma (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (/ (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (sqrt k)) (* 1.0 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (expm1 (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (log1p (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (* 2.0 PI) n) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n)))) (* (/ 1.0 2.0) (+ (log (* (* 2.0 PI) 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(* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) 3) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (cbrt (sqrt n)) (cbrt (sqrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (* (cbrt n) (cbrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (cbrt (pow (sqrt n) (/ 1.0 2.0))) (cbrt (pow (sqrt n) (/ 1.0 2.0))))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (pow (sqrt n) (* 2 (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ 1.0 2.0))) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (expm1 (* (* 2.0 PI) (sqrt n))) (log1p (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (fma (- (* +nan.0 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- +nan.0 (* +nan.0 (pow k 2))))) (fma (- +nan.0) (/ (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (/ 1 (pow k 3))) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- +nan.0) (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) n) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- +nan.0 (* +nan.0 (/ 1 k))))) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (fma (- (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) +nan.0 (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (/ 1 n) (/ 1 (pow n 2))))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- (* +nan.0 (pow n 2))) PI (* +nan.0 (- (* n PI) (* (pow n 3) PI)))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) (fma (- +nan.0) (/ PI n) (* +nan.0 (- (/ PI (pow n 2)) PI))) 6.316 * * * [progress]: adding candidates to table 6.836 * [progress]: [Phase 3 of 3] Extracting. 6.836 * * [regime]: Finding splitpoints for: (# # # # # # # #) 6.839 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 6.839 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 6.878 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 6.899 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # #) 6.944 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 6.984 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 7.022 * * * [regime]: Found split indices: #