10.260 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.148 * [progress]: [Phase 2 of 3] Improving. 0.149 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.151 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.152 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.154 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.157 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.163 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.185 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.186 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.186 * * [progress]: iteration 1 / 4 0.186 * * * [progress]: picking best candidate 0.188 * * * * [pick]: Picked # 0.188 * * * [progress]: localizing error 0.202 * * * [progress]: generating rewritten candidates 0.202 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.220 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.241 * * * [progress]: generating series expansions 0.241 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.242 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.242 * [taylor]: Taking taylor expansion of 0.5 in k 0.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.242 * [taylor]: Taking taylor expansion of 1.0 in k 0.242 * [taylor]: Taking taylor expansion of k in k 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.242 * [taylor]: Taking taylor expansion of 2.0 in k 0.242 * [taylor]: Taking taylor expansion of (* n PI) in k 0.242 * [taylor]: Taking taylor expansion of n in k 0.242 * [taylor]: Taking taylor expansion of PI in k 0.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.244 * [taylor]: Taking taylor expansion of 0.5 in n 0.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.244 * [taylor]: Taking taylor expansion of 1.0 in n 0.244 * [taylor]: Taking taylor expansion of k in n 0.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.244 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.244 * [taylor]: Taking taylor expansion of 2.0 in n 0.244 * [taylor]: Taking taylor expansion of (* n PI) in n 0.244 * [taylor]: Taking taylor expansion of n in n 0.244 * [taylor]: Taking taylor expansion of PI in n 0.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.250 * [taylor]: Taking taylor expansion of 0.5 in n 0.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.250 * [taylor]: Taking taylor expansion of 1.0 in n 0.250 * [taylor]: Taking taylor expansion of k in n 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.250 * [taylor]: Taking taylor expansion of 2.0 in n 0.250 * [taylor]: Taking taylor expansion of (* n PI) in n 0.250 * [taylor]: Taking taylor expansion of n in n 0.250 * [taylor]: Taking taylor expansion of PI in n 0.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.255 * [taylor]: Taking taylor expansion of 0.5 in k 0.255 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.255 * [taylor]: Taking taylor expansion of 1.0 in k 0.255 * [taylor]: Taking taylor expansion of k in k 0.255 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.255 * [taylor]: Taking taylor expansion of 2.0 in k 0.255 * [taylor]: Taking taylor expansion of PI in k 0.256 * [taylor]: Taking taylor expansion of (log n) in k 0.256 * [taylor]: Taking taylor expansion of n in k 0.265 * [taylor]: Taking taylor expansion of 0 in k 0.281 * [taylor]: Taking taylor expansion of 0 in k 0.300 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.300 * [taylor]: Taking taylor expansion of 2.0 in k 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.302 * [taylor]: Taking taylor expansion of 0.5 in n 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.302 * [taylor]: Taking taylor expansion of 2.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.306 * [taylor]: Taking taylor expansion of 0.5 in n 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.306 * [taylor]: Taking taylor expansion of 1.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.306 * [taylor]: Taking taylor expansion of k in n 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.306 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.306 * [taylor]: Taking taylor expansion of 2.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.306 * [taylor]: Taking taylor expansion of PI in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.316 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.316 * [taylor]: Taking taylor expansion of 0.5 in k 0.316 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.316 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.316 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.316 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.316 * [taylor]: Taking taylor expansion of 2.0 in k 0.316 * [taylor]: Taking taylor expansion of PI in k 0.317 * [taylor]: Taking taylor expansion of (log n) in k 0.317 * [taylor]: Taking taylor expansion of n in k 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of 0 in k 0.334 * [taylor]: Taking taylor expansion of 0 in k 0.342 * [taylor]: Taking taylor expansion of 0 in k 0.344 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.344 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.344 * [taylor]: Taking taylor expansion of -2.0 in k 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.344 * [taylor]: Taking taylor expansion of PI in k 0.344 * [taylor]: Taking taylor expansion of n in k 0.345 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.345 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.345 * [taylor]: Taking taylor expansion of 0.5 in n 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.345 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.345 * [taylor]: Taking taylor expansion of k in n 0.345 * [taylor]: Taking taylor expansion of 1.0 in n 0.345 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.345 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.345 * [taylor]: Taking taylor expansion of -2.0 in n 0.345 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.345 * [taylor]: Taking taylor expansion of PI in n 0.345 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.349 * [taylor]: Taking taylor expansion of 0.5 in n 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.349 * [taylor]: Taking taylor expansion of k in n 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.349 * [taylor]: Taking taylor expansion of -2.0 in n 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.353 * [taylor]: Taking taylor expansion of 0.5 in k 0.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.353 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.353 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.353 * [taylor]: Taking taylor expansion of -2.0 in k 0.353 * [taylor]: Taking taylor expansion of PI in k 0.354 * [taylor]: Taking taylor expansion of (log n) in k 0.354 * [taylor]: Taking taylor expansion of n in k 0.363 * [taylor]: Taking taylor expansion of 0 in k 0.370 * [taylor]: Taking taylor expansion of 0 in k 0.378 * [taylor]: Taking taylor expansion of 0 in k 0.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.380 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (* n PI) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (* n PI) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.392 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.392 * [taylor]: Taking taylor expansion of 2.0 in n 0.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.392 * [taylor]: Taking taylor expansion of PI in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.393 * [taylor]: Taking taylor expansion of 2.0 in n 0.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.393 * [taylor]: Taking taylor expansion of PI in n 0.393 * [taylor]: Taking taylor expansion of n in n 0.407 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.407 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.407 * [taylor]: Taking taylor expansion of -2.0 in n 0.407 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.407 * [taylor]: Taking taylor expansion of PI in n 0.407 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.408 * [taylor]: Taking taylor expansion of -2.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.416 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.416 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.416 * [taylor]: Taking taylor expansion of 1.0 in k 0.416 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.416 * [taylor]: Taking taylor expansion of k in k 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.418 * [taylor]: Taking taylor expansion of 1.0 in k 0.418 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.418 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.418 * [taylor]: Taking taylor expansion of k in k 0.429 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.429 * [taylor]: Taking taylor expansion of 1.0 in k 0.429 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.429 * [taylor]: Taking taylor expansion of k in k 0.430 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.430 * [taylor]: Taking taylor expansion of 1.0 in k 0.430 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.430 * [taylor]: Taking taylor expansion of k in k 0.440 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.440 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.440 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.441 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.441 * [taylor]: Taking taylor expansion of -1 in k 0.441 * [taylor]: Taking taylor expansion of k in k 0.442 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.442 * [taylor]: Taking taylor expansion of 1.0 in k 0.442 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.442 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.442 * [taylor]: Taking taylor expansion of -1 in k 0.442 * [taylor]: Taking taylor expansion of k in k 0.454 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.454 * [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 0.454 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.455 * [taylor]: Taking taylor expansion of k in n 0.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.455 * [taylor]: Taking taylor expansion of 2.0 in n 0.455 * [taylor]: Taking taylor expansion of (* n PI) in n 0.455 * [taylor]: Taking taylor expansion of n in n 0.455 * [taylor]: Taking taylor expansion of PI in n 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.460 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.460 * [taylor]: Taking taylor expansion of k in k 0.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.462 * [taylor]: Taking taylor expansion of 0.5 in k 0.462 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.462 * [taylor]: Taking taylor expansion of 1.0 in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.462 * [taylor]: Taking taylor expansion of 2.0 in k 0.462 * [taylor]: Taking taylor expansion of (* n PI) in k 0.462 * [taylor]: Taking taylor expansion of n in k 0.462 * [taylor]: Taking taylor expansion of PI in k 0.463 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.463 * [taylor]: Taking taylor expansion of 1.0 in k 0.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.463 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.463 * [taylor]: Taking taylor expansion of k in k 0.464 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.464 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.464 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.464 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.464 * [taylor]: Taking taylor expansion of 0.5 in k 0.464 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.464 * [taylor]: Taking taylor expansion of 1.0 in k 0.464 * [taylor]: Taking taylor expansion of k in k 0.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.464 * [taylor]: Taking taylor expansion of 2.0 in k 0.464 * [taylor]: Taking taylor expansion of (* n PI) in k 0.464 * [taylor]: Taking taylor expansion of n in k 0.464 * [taylor]: Taking taylor expansion of PI in k 0.465 * [taylor]: Taking taylor expansion of 0 in n 0.471 * [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 0.471 * [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 0.471 * [taylor]: Taking taylor expansion of +nan.0 in n 0.471 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.471 * [taylor]: Taking taylor expansion of 0.5 in n 0.471 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.471 * [taylor]: Taking taylor expansion of 1.0 in n 0.471 * [taylor]: Taking taylor expansion of (log PI) in n 0.471 * [taylor]: Taking taylor expansion of PI in n 0.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.473 * [taylor]: Taking taylor expansion of 1.0 in n 0.473 * [taylor]: Taking taylor expansion of (log n) in n 0.473 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.474 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.474 * [taylor]: Taking taylor expansion of 2.0 in n 0.499 * [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 0.499 * [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 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of +nan.0 in n 0.499 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.499 * [taylor]: Taking taylor expansion of 0.5 in n 0.499 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.499 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.499 * [taylor]: Taking taylor expansion of 1.0 in n 0.499 * [taylor]: Taking taylor expansion of (log PI) in n 0.499 * [taylor]: Taking taylor expansion of PI in n 0.501 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.501 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log n) in n 0.501 * [taylor]: Taking taylor expansion of n in n 0.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.507 * [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 0.507 * [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 0.507 * [taylor]: Taking taylor expansion of +nan.0 in n 0.507 * [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 0.507 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.507 * [taylor]: Taking taylor expansion of 0.5 in n 0.507 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.507 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.509 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.509 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log PI) in n 0.509 * [taylor]: Taking taylor expansion of PI in n 0.511 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log n) in n 0.511 * [taylor]: Taking taylor expansion of n in n 0.515 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.515 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.515 * [taylor]: Taking taylor expansion of (* n PI) in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.515 * [taylor]: Taking taylor expansion of PI in n 0.565 * [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 0.565 * [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 0.565 * [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 0.565 * [taylor]: Taking taylor expansion of +nan.0 in n 0.565 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.565 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.565 * [taylor]: Taking taylor expansion of 0.5 in n 0.565 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.565 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.565 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.565 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.565 * [taylor]: Taking taylor expansion of 1.0 in n 0.565 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.565 * [taylor]: Taking taylor expansion of 2.0 in n 0.567 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.567 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.567 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [taylor]: Taking taylor expansion of (log n) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.568 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of (log PI) in n 0.568 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.579 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +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 0.580 * [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 0.580 * [taylor]: Taking taylor expansion of +nan.0 in n 0.580 * [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 0.580 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.580 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.580 * [taylor]: Taking taylor expansion of 0.5 in n 0.580 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.580 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.580 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.580 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.580 * [taylor]: Taking taylor expansion of 1.0 in n 0.580 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.580 * [taylor]: Taking taylor expansion of 2.0 in n 0.582 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.582 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.582 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.582 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.582 * [taylor]: Taking taylor expansion of 1.0 in n 0.582 * [taylor]: Taking taylor expansion of (log PI) in n 0.582 * [taylor]: Taking taylor expansion of PI 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 0.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.588 * [taylor]: Taking taylor expansion of 2.0 in n 0.588 * [taylor]: Taking taylor expansion of (* n PI) in n 0.588 * [taylor]: Taking taylor expansion of n in n 0.588 * [taylor]: Taking taylor expansion of PI in n 0.591 * [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 0.591 * [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 0.591 * [taylor]: Taking taylor expansion of +nan.0 in n 0.591 * [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 0.591 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.591 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.591 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.591 * [taylor]: Taking taylor expansion of 0.5 in n 0.591 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.591 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.591 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.591 * [taylor]: Taking taylor expansion of 2.0 in n 0.593 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.593 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.593 * [taylor]: Taking taylor expansion of 1.0 in n 0.593 * [taylor]: Taking taylor expansion of (log PI) in n 0.593 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log n) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) 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 0.677 * [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 0.677 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.677 * [taylor]: Taking taylor expansion of 1.0 in n 0.677 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.677 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.677 * [taylor]: Taking taylor expansion of k in n 0.677 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.677 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.677 * [taylor]: Taking taylor expansion of 0.5 in n 0.677 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.677 * [taylor]: Taking taylor expansion of 1.0 in n 0.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.677 * [taylor]: Taking taylor expansion of k in n 0.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.677 * [taylor]: Taking taylor expansion of 2.0 in n 0.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.677 * [taylor]: Taking taylor expansion of PI in n 0.677 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.681 * [taylor]: Taking taylor expansion of 1.0 in k 0.681 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.681 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.681 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.682 * [taylor]: Taking taylor expansion of 0.5 in k 0.682 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.682 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.682 * [taylor]: Taking taylor expansion of 2.0 in k 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.683 * [taylor]: Taking taylor expansion of PI in k 0.683 * [taylor]: Taking taylor expansion of n in k 0.683 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.684 * [taylor]: Taking taylor expansion of 1.0 in k 0.684 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.684 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.684 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.685 * [taylor]: Taking taylor expansion of 0.5 in k 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.685 * [taylor]: Taking taylor expansion of 2.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.685 * [taylor]: Taking taylor expansion of PI in k 0.685 * [taylor]: Taking taylor expansion of n in k 0.687 * [taylor]: Taking taylor expansion of 0 in n 0.687 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.687 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.687 * [taylor]: Taking taylor expansion of +nan.0 in n 0.687 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.687 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.687 * [taylor]: Taking taylor expansion of 0.5 in n 0.687 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.687 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.688 * [taylor]: Taking taylor expansion of 2.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.688 * [taylor]: Taking taylor expansion of PI in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.689 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.689 * [taylor]: Taking taylor expansion of k in n 0.698 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.698 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.698 * [taylor]: Taking taylor expansion of +nan.0 in n 0.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.698 * [taylor]: Taking taylor expansion of 0.5 in n 0.698 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.698 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.698 * [taylor]: Taking taylor expansion of 2.0 in n 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.699 * [taylor]: Taking taylor expansion of 1.0 in n 0.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.699 * [taylor]: Taking taylor expansion of k in n 0.716 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.716 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.716 * [taylor]: Taking taylor expansion of +nan.0 in n 0.716 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.716 * [taylor]: Taking taylor expansion of 0.5 in n 0.716 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.716 * [taylor]: Taking taylor expansion of 2.0 in n 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.716 * [taylor]: Taking taylor expansion of PI in n 0.716 * [taylor]: Taking taylor expansion of n in n 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.717 * [taylor]: Taking taylor expansion of 1.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.717 * [taylor]: Taking taylor expansion of k in n 0.726 * [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 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.726 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.726 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.726 * [taylor]: Taking taylor expansion of 0.5 in n 0.726 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.726 * [taylor]: Taking taylor expansion of k in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.726 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.726 * [taylor]: Taking taylor expansion of -2.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.730 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.730 * [taylor]: Taking taylor expansion of -1 in n 0.730 * [taylor]: Taking taylor expansion of k in n 0.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.731 * [taylor]: Taking taylor expansion of 1.0 in k 0.731 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.731 * [taylor]: Taking taylor expansion of 0.5 in k 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.731 * [taylor]: Taking taylor expansion of k in k 0.731 * [taylor]: Taking taylor expansion of 1.0 in k 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.731 * [taylor]: Taking taylor expansion of -2.0 in k 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.731 * [taylor]: Taking taylor expansion of PI in k 0.731 * [taylor]: Taking taylor expansion of n in k 0.732 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.732 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.732 * [taylor]: Taking taylor expansion of -1 in k 0.732 * [taylor]: Taking taylor expansion of k in k 0.733 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.733 * [taylor]: Taking taylor expansion of 1.0 in k 0.733 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.733 * [taylor]: Taking taylor expansion of 0.5 in k 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.733 * [taylor]: Taking taylor expansion of k in k 0.734 * [taylor]: Taking taylor expansion of 1.0 in k 0.734 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.734 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.734 * [taylor]: Taking taylor expansion of -2.0 in k 0.734 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.734 * [taylor]: Taking taylor expansion of PI in k 0.734 * [taylor]: Taking taylor expansion of n in k 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.735 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.735 * [taylor]: Taking taylor expansion of -1 in k 0.735 * [taylor]: Taking taylor expansion of k in k 0.736 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.736 * [taylor]: Taking taylor expansion of +nan.0 in n 0.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.736 * [taylor]: Taking taylor expansion of 0.5 in n 0.736 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.736 * [taylor]: Taking taylor expansion of 1.0 in n 0.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.736 * [taylor]: Taking taylor expansion of -2.0 in n 0.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.737 * [taylor]: Taking taylor expansion of PI in n 0.737 * [taylor]: Taking taylor expansion of n in n 0.745 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.745 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.745 * [taylor]: Taking taylor expansion of +nan.0 in n 0.745 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.745 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.746 * [taylor]: Taking taylor expansion of 0.5 in n 0.746 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.746 * [taylor]: Taking taylor expansion of 1.0 in n 0.746 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.746 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.746 * [taylor]: Taking taylor expansion of -2.0 in n 0.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.746 * [taylor]: Taking taylor expansion of PI in n 0.746 * [taylor]: Taking taylor expansion of n in n 0.769 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.769 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.769 * [taylor]: Taking taylor expansion of +nan.0 in n 0.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.769 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.769 * [taylor]: Taking taylor expansion of 0.5 in n 0.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.769 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.770 * [taylor]: Taking taylor expansion of k in n 0.770 * [taylor]: Taking taylor expansion of 1.0 in n 0.770 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.770 * [taylor]: Taking taylor expansion of -2.0 in n 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.770 * [taylor]: Taking taylor expansion of PI in n 0.770 * [taylor]: Taking taylor expansion of n in n 0.779 * * * [progress]: simplifying candidates 0.781 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 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 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 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 (- (* +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))))))))) 0.881 * * * [progress]: adding candidates to table 1.297 * * [progress]: iteration 2 / 4 1.297 * * * [progress]: picking best candidate 1.324 * * * * [pick]: Picked # 1.324 * * * [progress]: localizing error 1.343 * * * [progress]: generating rewritten candidates 1.343 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.350 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.355 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.360 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.376 * * * [progress]: generating series expansions 1.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.377 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.377 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.377 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.377 * [taylor]: Taking taylor expansion of 0.5 in n 1.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.377 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.377 * [taylor]: Taking taylor expansion of 2.0 in n 1.377 * [taylor]: Taking taylor expansion of (* n PI) in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.377 * [taylor]: Taking taylor expansion of PI in n 1.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.387 * [taylor]: Taking taylor expansion of 0.5 in n 1.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.387 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.387 * [taylor]: Taking taylor expansion of 2.0 in n 1.387 * [taylor]: Taking taylor expansion of (* n PI) in n 1.387 * [taylor]: Taking taylor expansion of n in n 1.387 * [taylor]: Taking taylor expansion of PI in n 1.469 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.469 * [taylor]: Taking taylor expansion of 0.5 in n 1.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.469 * [taylor]: Taking taylor expansion of 2.0 in n 1.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.473 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.473 * [taylor]: Taking taylor expansion of 0.5 in n 1.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.473 * [taylor]: Taking taylor expansion of 2.0 in n 1.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.554 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.554 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.554 * [taylor]: Taking taylor expansion of 0.5 in n 1.554 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.554 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.554 * [taylor]: Taking taylor expansion of -2.0 in n 1.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.554 * [taylor]: Taking taylor expansion of PI in n 1.554 * [taylor]: Taking taylor expansion of n in n 1.558 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.558 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.558 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.558 * [taylor]: Taking taylor expansion of 0.5 in n 1.558 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.558 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.558 * [taylor]: Taking taylor expansion of -2.0 in n 1.558 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.558 * [taylor]: Taking taylor expansion of PI in n 1.558 * [taylor]: Taking taylor expansion of n in n 1.640 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.640 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [taylor]: Taking taylor expansion of (* n PI) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of PI in n 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [taylor]: Taking taylor expansion of (* n PI) in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of PI in n 1.653 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of 2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of 2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.662 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.662 * [taylor]: Taking taylor expansion of -2.0 in n 1.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.662 * [taylor]: Taking taylor expansion of PI in n 1.662 * [taylor]: Taking taylor expansion of n in n 1.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.663 * [taylor]: Taking taylor expansion of -2.0 in n 1.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.663 * [taylor]: Taking taylor expansion of PI in n 1.663 * [taylor]: Taking taylor expansion of n in n 1.671 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.672 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.672 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.672 * [taylor]: Taking taylor expansion of 2.0 in n 1.672 * [taylor]: Taking taylor expansion of (* n PI) in n 1.672 * [taylor]: Taking taylor expansion of n in n 1.672 * [taylor]: Taking taylor expansion of PI in n 1.672 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.672 * [taylor]: Taking taylor expansion of 2.0 in n 1.672 * [taylor]: Taking taylor expansion of (* n PI) in n 1.672 * [taylor]: Taking taylor expansion of n in n 1.672 * [taylor]: Taking taylor expansion of PI in n 1.684 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.684 * [taylor]: Taking taylor expansion of 2.0 in n 1.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.684 * [taylor]: Taking taylor expansion of PI in n 1.684 * [taylor]: Taking taylor expansion of n in n 1.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.685 * [taylor]: Taking taylor expansion of 2.0 in n 1.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.685 * [taylor]: Taking taylor expansion of PI in n 1.685 * [taylor]: Taking taylor expansion of n in n 1.693 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.693 * [taylor]: Taking taylor expansion of -2.0 in n 1.693 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.693 * [taylor]: Taking taylor expansion of PI in n 1.693 * [taylor]: Taking taylor expansion of n in n 1.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.694 * [taylor]: Taking taylor expansion of -2.0 in n 1.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.694 * [taylor]: Taking taylor expansion of PI in n 1.694 * [taylor]: Taking taylor expansion of n in n 1.709 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.711 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.711 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.711 * [taylor]: Taking taylor expansion of 1.0 in k 1.711 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.712 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.712 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.712 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.712 * [taylor]: Taking taylor expansion of 0.5 in k 1.712 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.712 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.712 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.712 * [taylor]: Taking taylor expansion of 2.0 in k 1.714 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.714 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.714 * [taylor]: Taking taylor expansion of 1.0 in k 1.714 * [taylor]: Taking taylor expansion of (log n) in k 1.714 * [taylor]: Taking taylor expansion of n in k 1.714 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.714 * [taylor]: Taking taylor expansion of 1.0 in k 1.714 * [taylor]: Taking taylor expansion of (log PI) in k 1.714 * [taylor]: Taking taylor expansion of PI in k 1.720 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.720 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.720 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.720 * [taylor]: Taking taylor expansion of 0.5 in k 1.720 * [taylor]: Taking taylor expansion of k in k 1.720 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.720 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.720 * [taylor]: Taking taylor expansion of 2.0 in k 1.720 * [taylor]: Taking taylor expansion of (* n PI) in k 1.720 * [taylor]: Taking taylor expansion of n in k 1.720 * [taylor]: Taking taylor expansion of PI in k 1.723 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.723 * [taylor]: Taking taylor expansion of 1.0 in n 1.723 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.723 * [taylor]: Taking taylor expansion of k in n 1.723 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.723 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.723 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.723 * [taylor]: Taking taylor expansion of 0.5 in n 1.723 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.723 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.723 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.723 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.723 * [taylor]: Taking taylor expansion of 1.0 in n 1.723 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.723 * [taylor]: Taking taylor expansion of 2.0 in n 1.725 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.725 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.725 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.725 * [taylor]: Taking taylor expansion of 1.0 in n 1.725 * [taylor]: Taking taylor expansion of (log n) in n 1.725 * [taylor]: Taking taylor expansion of n in n 1.726 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.726 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.726 * [taylor]: Taking taylor expansion of 1.0 in n 1.726 * [taylor]: Taking taylor expansion of (log PI) in n 1.726 * [taylor]: Taking taylor expansion of PI in n 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.731 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.731 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.731 * [taylor]: Taking taylor expansion of 0.5 in n 1.731 * [taylor]: Taking taylor expansion of k in n 1.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.731 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.731 * [taylor]: Taking taylor expansion of 2.0 in n 1.731 * [taylor]: Taking taylor expansion of (* n PI) in n 1.731 * [taylor]: Taking taylor expansion of n in n 1.731 * [taylor]: Taking taylor expansion of PI in n 1.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.737 * [taylor]: Taking taylor expansion of 1.0 in n 1.737 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.737 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.737 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.737 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.737 * [taylor]: Taking taylor expansion of 0.5 in n 1.737 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.738 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.738 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.739 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.739 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.739 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.739 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.739 * [taylor]: Taking taylor expansion of 1.0 in n 1.739 * [taylor]: Taking taylor expansion of (log n) in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.740 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.740 * [taylor]: Taking taylor expansion of 1.0 in n 1.740 * [taylor]: Taking taylor expansion of (log PI) in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.745 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.745 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.745 * [taylor]: Taking taylor expansion of 0.5 in n 1.746 * [taylor]: Taking taylor expansion of k in n 1.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.746 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.746 * [taylor]: Taking taylor expansion of 2.0 in n 1.746 * [taylor]: Taking taylor expansion of (* n PI) in n 1.746 * [taylor]: Taking taylor expansion of n in n 1.746 * [taylor]: Taking taylor expansion of PI in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.757 * [taylor]: Taking taylor expansion of 1.0 in k 1.757 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.757 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.757 * [taylor]: Taking taylor expansion of k in k 1.758 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.758 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.758 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.758 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.758 * [taylor]: Taking taylor expansion of 0.5 in k 1.759 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.759 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.759 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.759 * [taylor]: Taking taylor expansion of 1.0 in k 1.759 * [taylor]: Taking taylor expansion of (log PI) in k 1.759 * [taylor]: Taking taylor expansion of PI in k 1.760 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.760 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log n) in k 1.761 * [taylor]: Taking taylor expansion of n in k 1.761 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.761 * [taylor]: Taking taylor expansion of 2.0 in k 1.766 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.766 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.766 * [taylor]: Taking taylor expansion of 0.5 in k 1.766 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.766 * [taylor]: Taking taylor expansion of k in k 1.766 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.766 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.766 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.766 * [taylor]: Taking taylor expansion of 2.0 in k 1.766 * [taylor]: Taking taylor expansion of PI in k 1.767 * [taylor]: Taking taylor expansion of (log n) in k 1.767 * [taylor]: Taking taylor expansion of n in k 1.804 * [taylor]: Taking taylor expansion of 0 in k 1.855 * [taylor]: Taking taylor expansion of 0 in k 1.953 * [taylor]: Taking taylor expansion of 0 in k 2.073 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 2.073 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.073 * [taylor]: Taking taylor expansion of 1.0 in k 2.073 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.073 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.074 * [taylor]: Taking taylor expansion of k in k 2.075 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.075 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.075 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.075 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.075 * [taylor]: Taking taylor expansion of 0.5 in k 2.075 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.075 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.075 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.075 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.075 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.075 * [taylor]: Taking taylor expansion of 1.0 in k 2.075 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.075 * [taylor]: Taking taylor expansion of 2.0 in k 2.077 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.077 * [taylor]: Taking taylor expansion of 1.0 in k 2.077 * [taylor]: Taking taylor expansion of (log PI) in k 2.077 * [taylor]: Taking taylor expansion of PI in k 2.078 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.078 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.078 * [taylor]: Taking taylor expansion of 1.0 in k 2.079 * [taylor]: Taking taylor expansion of (log n) in k 2.079 * [taylor]: Taking taylor expansion of n in k 2.085 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.085 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.085 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.085 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.085 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.085 * [taylor]: Taking taylor expansion of 0.5 in k 2.085 * [taylor]: Taking taylor expansion of k in k 2.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.086 * [taylor]: Taking taylor expansion of 2.0 in k 2.086 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.086 * [taylor]: Taking taylor expansion of PI in k 2.086 * [taylor]: Taking taylor expansion of n in k 2.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.086 * [taylor]: Taking taylor expansion of 1.0 in n 2.086 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.086 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.086 * [taylor]: Taking taylor expansion of k in n 2.086 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.086 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.086 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.086 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.086 * [taylor]: Taking taylor expansion of 0.5 in n 2.086 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.086 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.086 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.086 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.087 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.087 * [taylor]: Taking taylor expansion of 1.0 in n 2.087 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.087 * [taylor]: Taking taylor expansion of 2.0 in n 2.088 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.088 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.088 * [taylor]: Taking taylor expansion of 1.0 in n 2.088 * [taylor]: Taking taylor expansion of (log PI) in n 2.088 * [taylor]: Taking taylor expansion of PI in n 2.090 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.090 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.090 * [taylor]: Taking taylor expansion of 1.0 in n 2.090 * [taylor]: Taking taylor expansion of (log n) in n 2.090 * [taylor]: Taking taylor expansion of n in n 2.097 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.097 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.097 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.097 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.097 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.097 * [taylor]: Taking taylor expansion of 0.5 in n 2.097 * [taylor]: Taking taylor expansion of k in n 2.097 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.097 * [taylor]: Taking taylor expansion of 2.0 in n 2.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.097 * [taylor]: Taking taylor expansion of PI in n 2.097 * [taylor]: Taking taylor expansion of n in n 2.101 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.101 * [taylor]: Taking taylor expansion of 1.0 in n 2.101 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.102 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.102 * [taylor]: Taking taylor expansion of k in n 2.102 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.102 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.102 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.102 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.102 * [taylor]: Taking taylor expansion of 0.5 in n 2.102 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.102 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.102 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.102 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.102 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.102 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.102 * [taylor]: Taking taylor expansion of 1.0 in n 2.102 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.102 * [taylor]: Taking taylor expansion of 2.0 in n 2.104 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.104 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.104 * [taylor]: Taking taylor expansion of 1.0 in n 2.104 * [taylor]: Taking taylor expansion of (log PI) in n 2.104 * [taylor]: Taking taylor expansion of PI in n 2.106 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.106 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.106 * [taylor]: Taking taylor expansion of 1.0 in n 2.106 * [taylor]: Taking taylor expansion of (log n) in n 2.106 * [taylor]: Taking taylor expansion of n in n 2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.113 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.113 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.113 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.113 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.113 * [taylor]: Taking taylor expansion of 0.5 in n 2.113 * [taylor]: Taking taylor expansion of k in n 2.113 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.113 * [taylor]: Taking taylor expansion of 2.0 in n 2.113 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.113 * [taylor]: Taking taylor expansion of PI in n 2.113 * [taylor]: Taking taylor expansion of n in n 2.123 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 2.123 * [taylor]: Taking taylor expansion of 1.0 in k 2.123 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 2.123 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.123 * [taylor]: Taking taylor expansion of k in k 2.124 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.124 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.124 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.124 * [taylor]: Taking taylor expansion of 0.5 in k 2.125 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.125 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.125 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.125 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.125 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.125 * [taylor]: Taking taylor expansion of 1.0 in k 2.125 * [taylor]: Taking taylor expansion of (log PI) in k 2.125 * [taylor]: Taking taylor expansion of PI in k 2.126 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.126 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.127 * [taylor]: Taking taylor expansion of 1.0 in k 2.127 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.127 * [taylor]: Taking taylor expansion of 2.0 in k 2.128 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.128 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.128 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.128 * [taylor]: Taking taylor expansion of 1.0 in k 2.128 * [taylor]: Taking taylor expansion of (log n) in k 2.128 * [taylor]: Taking taylor expansion of n in k 2.141 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.141 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.141 * [taylor]: Taking taylor expansion of 0.5 in k 2.141 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.141 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.141 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.141 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.141 * [taylor]: Taking taylor expansion of 2.0 in k 2.141 * [taylor]: Taking taylor expansion of PI in k 2.142 * [taylor]: Taking taylor expansion of (log n) in k 2.142 * [taylor]: Taking taylor expansion of n in k 2.142 * [taylor]: Taking taylor expansion of k in k 2.175 * [taylor]: Taking taylor expansion of 0 in k 2.239 * [taylor]: Taking taylor expansion of 0 in k 2.322 * [taylor]: Taking taylor expansion of 0 in k 2.373 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.373 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.373 * [taylor]: Taking taylor expansion of 1.0 in k 2.373 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.373 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.373 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.373 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.373 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.373 * [taylor]: Taking taylor expansion of -1 in k 2.373 * [taylor]: Taking taylor expansion of k in k 2.374 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.374 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.374 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.374 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.374 * [taylor]: Taking taylor expansion of -0.5 in k 2.374 * [taylor]: Taking taylor expansion of k in k 2.375 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.375 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.375 * [taylor]: Taking taylor expansion of -2.0 in k 2.375 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.375 * [taylor]: Taking taylor expansion of PI in k 2.375 * [taylor]: Taking taylor expansion of n in k 2.376 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.376 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.376 * [taylor]: Taking taylor expansion of 0.5 in k 2.376 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.376 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.376 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.376 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.376 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.376 * [taylor]: Taking taylor expansion of 1.0 in k 2.376 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.376 * [taylor]: Taking taylor expansion of -2.0 in k 2.378 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.378 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.378 * [taylor]: Taking taylor expansion of 1.0 in k 2.378 * [taylor]: Taking taylor expansion of (log PI) in k 2.378 * [taylor]: Taking taylor expansion of PI in k 2.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.380 * [taylor]: Taking taylor expansion of 1.0 in k 2.380 * [taylor]: Taking taylor expansion of (log n) in k 2.380 * [taylor]: Taking taylor expansion of n in k 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.386 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.386 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.386 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.386 * [taylor]: Taking taylor expansion of -1 in n 2.386 * [taylor]: Taking taylor expansion of k in n 2.387 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.387 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.387 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.387 * [taylor]: Taking taylor expansion of -0.5 in n 2.387 * [taylor]: Taking taylor expansion of k in n 2.387 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.387 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.387 * [taylor]: Taking taylor expansion of -2.0 in n 2.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.387 * [taylor]: Taking taylor expansion of PI in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.392 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.392 * [taylor]: Taking taylor expansion of 0.5 in n 2.392 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.392 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.392 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.392 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.392 * [taylor]: Taking taylor expansion of 1.0 in n 2.392 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.392 * [taylor]: Taking taylor expansion of -2.0 in n 2.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log PI) in n 2.400 * [taylor]: Taking taylor expansion of PI in n 2.403 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.403 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.403 * [taylor]: Taking taylor expansion of 1.0 in n 2.403 * [taylor]: Taking taylor expansion of (log n) in n 2.403 * [taylor]: Taking taylor expansion of n in n 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.410 * [taylor]: Taking taylor expansion of 1.0 in n 2.410 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.410 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.410 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.410 * [taylor]: Taking taylor expansion of -1 in n 2.410 * [taylor]: Taking taylor expansion of k in n 2.410 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.410 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.410 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.410 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.410 * [taylor]: Taking taylor expansion of -0.5 in n 2.410 * [taylor]: Taking taylor expansion of k in n 2.411 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.411 * [taylor]: Taking taylor expansion of -2.0 in n 2.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.411 * [taylor]: Taking taylor expansion of PI in n 2.411 * [taylor]: Taking taylor expansion of n in n 2.415 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.416 * [taylor]: Taking taylor expansion of 0.5 in n 2.416 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.416 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.416 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.416 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.416 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.416 * [taylor]: Taking taylor expansion of 1.0 in n 2.416 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.416 * [taylor]: Taking taylor expansion of -2.0 in n 2.417 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.417 * [taylor]: Taking taylor expansion of 1.0 in n 2.417 * [taylor]: Taking taylor expansion of (log PI) in n 2.418 * [taylor]: Taking taylor expansion of PI in n 2.419 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.419 * [taylor]: Taking taylor expansion of 1.0 in n 2.419 * [taylor]: Taking taylor expansion of (log n) in n 2.419 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.433 * [taylor]: Taking taylor expansion of 1.0 in k 2.433 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.433 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.433 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.433 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.433 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.433 * [taylor]: Taking taylor expansion of -0.5 in k 2.433 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.433 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.433 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.433 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.433 * [taylor]: Taking taylor expansion of -2.0 in k 2.433 * [taylor]: Taking taylor expansion of PI in k 2.434 * [taylor]: Taking taylor expansion of (log n) in k 2.434 * [taylor]: Taking taylor expansion of n in k 2.434 * [taylor]: Taking taylor expansion of k in k 2.437 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.437 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.437 * [taylor]: Taking taylor expansion of -1 in k 2.437 * [taylor]: Taking taylor expansion of k in k 2.440 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.441 * [taylor]: Taking taylor expansion of 0.5 in k 2.441 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.441 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.441 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.441 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.441 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.441 * [taylor]: Taking taylor expansion of 1.0 in k 2.441 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.441 * [taylor]: Taking taylor expansion of -2.0 in k 2.442 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.443 * [taylor]: Taking taylor expansion of (log PI) in k 2.443 * [taylor]: Taking taylor expansion of PI in k 2.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.444 * [taylor]: Taking taylor expansion of 1.0 in k 2.444 * [taylor]: Taking taylor expansion of (log n) in k 2.444 * [taylor]: Taking taylor expansion of n in k 2.481 * [taylor]: Taking taylor expansion of 0 in k 2.549 * [taylor]: Taking taylor expansion of 0 in k 2.601 * * * [progress]: simplifying candidates 2.604 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 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(pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) 2.614 * * [simplify]: iteration 0 : 935 enodes (cost 1406 ) 2.630 * * [simplify]: iteration 1 : 4011 enodes (cost 1247 ) 2.697 * * [simplify]: iteration 2 : 5003 enodes (cost 1237 ) 2.703 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 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(* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (- (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 (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 (* +nan.0 k) (* (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))) (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) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) 2.704 * * * [progress]: adding candidates to table 2.952 * * [progress]: iteration 3 / 4 2.952 * * * [progress]: picking best candidate 2.977 * * * * [pick]: Picked # 2.977 * * * [progress]: localizing error 2.996 * * * [progress]: generating rewritten candidates 2.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.003 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 3.012 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.032 * * * [progress]: generating series expansions 3.032 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.033 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.033 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.033 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.033 * [taylor]: Taking taylor expansion of 0.5 in n 3.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.033 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.033 * [taylor]: Taking taylor expansion of 2.0 in n 3.033 * [taylor]: Taking taylor expansion of (* n PI) in n 3.033 * [taylor]: Taking taylor expansion of n in n 3.033 * [taylor]: Taking taylor expansion of PI in n 3.039 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.039 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.039 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.039 * [taylor]: Taking taylor expansion of 0.5 in n 3.039 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.039 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.039 * [taylor]: Taking taylor expansion of 2.0 in n 3.039 * [taylor]: Taking taylor expansion of (* n PI) in n 3.039 * [taylor]: Taking taylor expansion of n in n 3.039 * [taylor]: Taking taylor expansion of PI in n 3.123 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.124 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.124 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.124 * [taylor]: Taking taylor expansion of 0.5 in n 3.124 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.124 * [taylor]: Taking taylor expansion of 2.0 in n 3.124 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.124 * [taylor]: Taking taylor expansion of PI in n 3.124 * [taylor]: Taking taylor expansion of n in n 3.127 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.127 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.127 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.127 * [taylor]: Taking taylor expansion of 0.5 in n 3.127 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.127 * [taylor]: Taking taylor expansion of 2.0 in n 3.127 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.128 * [taylor]: Taking taylor expansion of PI in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.209 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.209 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.209 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.209 * [taylor]: Taking taylor expansion of 0.5 in n 3.209 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.209 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.209 * [taylor]: Taking taylor expansion of -2.0 in n 3.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.209 * [taylor]: Taking taylor expansion of PI in n 3.209 * [taylor]: Taking taylor expansion of n in n 3.212 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.212 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.212 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.212 * [taylor]: Taking taylor expansion of 0.5 in n 3.212 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.212 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.212 * [taylor]: Taking taylor expansion of -2.0 in n 3.212 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.212 * [taylor]: Taking taylor expansion of PI in n 3.212 * [taylor]: Taking taylor expansion of n in n 3.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 3.291 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.291 * [taylor]: Taking taylor expansion of 2.0 in n 3.291 * [taylor]: Taking taylor expansion of (* n PI) in n 3.291 * [taylor]: Taking taylor expansion of n in n 3.291 * [taylor]: Taking taylor expansion of PI in n 3.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.291 * [taylor]: Taking taylor expansion of 2.0 in n 3.291 * [taylor]: Taking taylor expansion of (* n PI) in n 3.291 * [taylor]: Taking taylor expansion of n in n 3.291 * [taylor]: Taking taylor expansion of PI in n 3.304 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.304 * [taylor]: Taking taylor expansion of 2.0 in n 3.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.304 * [taylor]: Taking taylor expansion of PI in n 3.304 * [taylor]: Taking taylor expansion of n in n 3.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.304 * [taylor]: Taking taylor expansion of 2.0 in n 3.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.304 * [taylor]: Taking taylor expansion of PI in n 3.304 * [taylor]: Taking taylor expansion of n in n 3.313 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.313 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.313 * [taylor]: Taking taylor expansion of -2.0 in n 3.313 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.313 * [taylor]: Taking taylor expansion of PI in n 3.313 * [taylor]: Taking taylor expansion of n in n 3.314 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.314 * [taylor]: Taking taylor expansion of -2.0 in n 3.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.314 * [taylor]: Taking taylor expansion of PI in n 3.314 * [taylor]: Taking taylor expansion of n in n 3.322 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 3.322 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.323 * [taylor]: Taking taylor expansion of 2.0 in n 3.323 * [taylor]: Taking taylor expansion of (* n PI) in n 3.323 * [taylor]: Taking taylor expansion of n in n 3.323 * [taylor]: Taking taylor expansion of PI in n 3.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.323 * [taylor]: Taking taylor expansion of 2.0 in n 3.323 * [taylor]: Taking taylor expansion of (* n PI) in n 3.323 * [taylor]: Taking taylor expansion of n in n 3.323 * [taylor]: Taking taylor expansion of PI in n 3.334 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.335 * [taylor]: Taking taylor expansion of 2.0 in n 3.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.335 * [taylor]: Taking taylor expansion of PI in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.335 * [taylor]: Taking taylor expansion of 2.0 in n 3.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.335 * [taylor]: Taking taylor expansion of PI in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.351 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.351 * [taylor]: Taking taylor expansion of -2.0 in n 3.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.351 * [taylor]: Taking taylor expansion of PI in n 3.351 * [taylor]: Taking taylor expansion of n in n 3.352 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.352 * [taylor]: Taking taylor expansion of -2.0 in n 3.352 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.352 * [taylor]: Taking taylor expansion of PI in n 3.352 * [taylor]: Taking taylor expansion of n in n 3.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.361 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in (k n) around 0 3.361 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.361 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.362 * [taylor]: Taking taylor expansion of k in n 3.362 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.362 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.362 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.362 * [taylor]: Taking taylor expansion of 0.5 in n 3.362 * [taylor]: Taking taylor expansion of k in n 3.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.362 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.362 * [taylor]: Taking taylor expansion of 2.0 in n 3.362 * [taylor]: Taking taylor expansion of (* n PI) in n 3.362 * [taylor]: Taking taylor expansion of n in n 3.362 * [taylor]: Taking taylor expansion of PI in n 3.367 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.367 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.367 * [taylor]: Taking taylor expansion of 0.5 in n 3.367 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.367 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.367 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.367 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.367 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.367 * [taylor]: Taking taylor expansion of 1.0 in n 3.367 * [taylor]: Taking taylor expansion of (log PI) in n 3.367 * [taylor]: Taking taylor expansion of PI in n 3.369 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.369 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.369 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.369 * [taylor]: Taking taylor expansion of 1.0 in n 3.369 * [taylor]: Taking taylor expansion of (log n) in n 3.369 * [taylor]: Taking taylor expansion of n in n 3.370 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.370 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.370 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.370 * [taylor]: Taking taylor expansion of 1.0 in n 3.370 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.370 * [taylor]: Taking taylor expansion of 2.0 in n 3.376 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 3.376 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.376 * [taylor]: Taking taylor expansion of k in k 3.377 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 3.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.377 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.377 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.377 * [taylor]: Taking taylor expansion of 0.5 in k 3.377 * [taylor]: Taking taylor expansion of k in k 3.377 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.377 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.377 * [taylor]: Taking taylor expansion of 2.0 in k 3.377 * [taylor]: Taking taylor expansion of (* n PI) in k 3.377 * [taylor]: Taking taylor expansion of n in k 3.377 * [taylor]: Taking taylor expansion of PI in k 3.380 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 3.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 3.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.380 * [taylor]: Taking taylor expansion of 0.5 in k 3.380 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.380 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.380 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.380 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.380 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.380 * [taylor]: Taking taylor expansion of 1.0 in k 3.380 * [taylor]: Taking taylor expansion of (log PI) in k 3.380 * [taylor]: Taking taylor expansion of PI in k 3.382 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.382 * [taylor]: Taking taylor expansion of 1.0 in k 3.382 * [taylor]: Taking taylor expansion of (log n) in k 3.382 * [taylor]: Taking taylor expansion of n in k 3.382 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.382 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.382 * [taylor]: Taking taylor expansion of 1.0 in k 3.382 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.382 * [taylor]: Taking taylor expansion of 2.0 in k 3.388 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 3.388 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.388 * [taylor]: Taking taylor expansion of k in k 3.389 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 3.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.389 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.389 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.389 * [taylor]: Taking taylor expansion of 0.5 in k 3.389 * [taylor]: Taking taylor expansion of k in k 3.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.390 * [taylor]: Taking taylor expansion of 2.0 in k 3.390 * [taylor]: Taking taylor expansion of (* n PI) in k 3.390 * [taylor]: Taking taylor expansion of n in k 3.390 * [taylor]: Taking taylor expansion of PI in k 3.392 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 3.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 3.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.392 * [taylor]: Taking taylor expansion of 0.5 in k 3.392 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.392 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.392 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.392 * [taylor]: Taking taylor expansion of 1.0 in k 3.392 * [taylor]: Taking taylor expansion of (log PI) in k 3.392 * [taylor]: Taking taylor expansion of PI in k 3.394 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.394 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.394 * [taylor]: Taking taylor expansion of 1.0 in k 3.394 * [taylor]: Taking taylor expansion of (log n) in k 3.394 * [taylor]: Taking taylor expansion of n in k 3.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.395 * [taylor]: Taking taylor expansion of 1.0 in k 3.395 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.395 * [taylor]: Taking taylor expansion of 2.0 in k 3.402 * [taylor]: Taking taylor expansion of 0 in n 3.418 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.418 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.418 * [taylor]: Taking taylor expansion of +nan.0 in n 3.418 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.418 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.418 * [taylor]: Taking taylor expansion of 0.5 in n 3.418 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.418 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.418 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.418 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.418 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.418 * [taylor]: Taking taylor expansion of 1.0 in n 3.418 * [taylor]: Taking taylor expansion of (log PI) in n 3.418 * [taylor]: Taking taylor expansion of PI in n 3.420 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.420 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.420 * [taylor]: Taking taylor expansion of 1.0 in n 3.420 * [taylor]: Taking taylor expansion of (log n) in n 3.420 * [taylor]: Taking taylor expansion of n in n 3.421 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.421 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.421 * [taylor]: Taking taylor expansion of 1.0 in n 3.421 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.421 * [taylor]: Taking taylor expansion of 2.0 in n 3.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 3.465 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 3.465 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 3.465 * [taylor]: Taking taylor expansion of +nan.0 in n 3.465 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 3.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 3.465 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.465 * [taylor]: Taking taylor expansion of 0.5 in n 3.465 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.465 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.465 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.465 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.465 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.465 * [taylor]: Taking taylor expansion of 1.0 in n 3.465 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.465 * [taylor]: Taking taylor expansion of 2.0 in n 3.467 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.467 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.467 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.467 * [taylor]: Taking taylor expansion of 1.0 in n 3.467 * [taylor]: Taking taylor expansion of (log n) in n 3.467 * [taylor]: Taking taylor expansion of n in n 3.467 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.467 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.467 * [taylor]: Taking taylor expansion of 1.0 in n 3.467 * [taylor]: Taking taylor expansion of (log PI) in n 3.467 * [taylor]: Taking taylor expansion of PI in n 3.473 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 3.474 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.474 * [taylor]: Taking taylor expansion of +nan.0 in n 3.474 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.474 * [taylor]: Taking taylor expansion of 2.0 in n 3.474 * [taylor]: Taking taylor expansion of (* n PI) in n 3.474 * [taylor]: Taking taylor expansion of n in n 3.474 * [taylor]: Taking taylor expansion of PI in n 3.477 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.477 * [taylor]: Taking taylor expansion of 0.5 in n 3.477 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.477 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.477 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.477 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.477 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.477 * [taylor]: Taking taylor expansion of 1.0 in n 3.477 * [taylor]: Taking taylor expansion of (log PI) in n 3.477 * [taylor]: Taking taylor expansion of PI in n 3.479 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.479 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.479 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.479 * [taylor]: Taking taylor expansion of 1.0 in n 3.479 * [taylor]: Taking taylor expansion of (log n) in n 3.479 * [taylor]: Taking taylor expansion of n in n 3.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.480 * [taylor]: Taking taylor expansion of 1.0 in n 3.480 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.480 * [taylor]: Taking taylor expansion of 2.0 in n 3.562 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 3.562 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 3.562 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.562 * [taylor]: Taking taylor expansion of +nan.0 in n 3.562 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.563 * [taylor]: Taking taylor expansion of 0.5 in n 3.563 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.563 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.563 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.563 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.563 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.563 * [taylor]: Taking taylor expansion of 1.0 in n 3.563 * [taylor]: Taking taylor expansion of (log PI) in n 3.563 * [taylor]: Taking taylor expansion of PI in n 3.564 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.565 * [taylor]: Taking taylor expansion of 1.0 in n 3.565 * [taylor]: Taking taylor expansion of (log n) in n 3.565 * [taylor]: Taking taylor expansion of n in n 3.565 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.565 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.565 * [taylor]: Taking taylor expansion of 1.0 in n 3.565 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.565 * [taylor]: Taking taylor expansion of 2.0 in n 3.572 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 3.572 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 3.572 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.572 * [taylor]: Taking taylor expansion of +nan.0 in n 3.572 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.572 * [taylor]: Taking taylor expansion of 2.0 in n 3.572 * [taylor]: Taking taylor expansion of (* n PI) in n 3.572 * [taylor]: Taking taylor expansion of n in n 3.572 * [taylor]: Taking taylor expansion of PI in n 3.575 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.575 * [taylor]: Taking taylor expansion of 0.5 in n 3.575 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.575 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.575 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.575 * [taylor]: Taking taylor expansion of 1.0 in n 3.575 * [taylor]: Taking taylor expansion of (log PI) in n 3.575 * [taylor]: Taking taylor expansion of PI in n 3.577 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.577 * [taylor]: Taking taylor expansion of 1.0 in n 3.577 * [taylor]: Taking taylor expansion of (log n) in n 3.577 * [taylor]: Taking taylor expansion of n in n 3.578 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.578 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.578 * [taylor]: Taking taylor expansion of 1.0 in n 3.578 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.578 * [taylor]: Taking taylor expansion of 2.0 in n 3.584 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 3.584 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.584 * [taylor]: Taking taylor expansion of +nan.0 in n 3.584 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.584 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.584 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.584 * [taylor]: Taking taylor expansion of 2.0 in n 3.584 * [taylor]: Taking taylor expansion of (* n PI) in n 3.584 * [taylor]: Taking taylor expansion of n in n 3.584 * [taylor]: Taking taylor expansion of PI in n 3.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.588 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.588 * [taylor]: Taking taylor expansion of 0.5 in n 3.588 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.588 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.588 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.588 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.588 * [taylor]: Taking taylor expansion of 1.0 in n 3.588 * [taylor]: Taking taylor expansion of (log PI) in n 3.588 * [taylor]: Taking taylor expansion of PI in n 3.590 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.590 * [taylor]: Taking taylor expansion of 1.0 in n 3.590 * [taylor]: Taking taylor expansion of (log n) in n 3.590 * [taylor]: Taking taylor expansion of n in n 3.591 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.591 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.591 * [taylor]: Taking taylor expansion of 1.0 in n 3.591 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.591 * [taylor]: Taking taylor expansion of 2.0 in n 3.677 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 3.677 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.677 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.677 * [taylor]: Taking taylor expansion of k in n 3.677 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.677 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.677 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.677 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.677 * [taylor]: Taking taylor expansion of 0.5 in n 3.677 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.677 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.677 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.677 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.677 * [taylor]: Taking taylor expansion of 1.0 in n 3.677 * [taylor]: Taking taylor expansion of (log n) in n 3.677 * [taylor]: Taking taylor expansion of n in n 3.678 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.678 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.678 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.678 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.678 * [taylor]: Taking taylor expansion of 1.0 in n 3.678 * [taylor]: Taking taylor expansion of (log PI) in n 3.678 * [taylor]: Taking taylor expansion of PI in n 3.680 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.680 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.680 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.680 * [taylor]: Taking taylor expansion of 1.0 in n 3.680 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.680 * [taylor]: Taking taylor expansion of 2.0 in n 3.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.689 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.689 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.689 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.689 * [taylor]: Taking taylor expansion of 0.5 in n 3.689 * [taylor]: Taking taylor expansion of k in n 3.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.689 * [taylor]: Taking taylor expansion of 2.0 in n 3.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.689 * [taylor]: Taking taylor expansion of PI in n 3.689 * [taylor]: Taking taylor expansion of n in n 3.692 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.692 * [taylor]: Taking taylor expansion of k in k 3.694 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.694 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 3.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 3.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.694 * [taylor]: Taking taylor expansion of 0.5 in k 3.694 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.694 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.694 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.694 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.694 * [taylor]: Taking taylor expansion of 1.0 in k 3.694 * [taylor]: Taking taylor expansion of (log n) in k 3.694 * [taylor]: Taking taylor expansion of n in k 3.694 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.694 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.694 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.694 * [taylor]: Taking taylor expansion of 1.0 in k 3.694 * [taylor]: Taking taylor expansion of (log PI) in k 3.694 * [taylor]: Taking taylor expansion of PI in k 3.696 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.696 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.696 * [taylor]: Taking taylor expansion of 1.0 in k 3.696 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.696 * [taylor]: Taking taylor expansion of 2.0 in k 3.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.704 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.704 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.704 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.704 * [taylor]: Taking taylor expansion of 0.5 in k 3.704 * [taylor]: Taking taylor expansion of k in k 3.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.705 * [taylor]: Taking taylor expansion of 2.0 in k 3.705 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.705 * [taylor]: Taking taylor expansion of PI in k 3.705 * [taylor]: Taking taylor expansion of n in k 3.705 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.705 * [taylor]: Taking taylor expansion of k in k 3.706 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.706 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 3.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 3.706 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.706 * [taylor]: Taking taylor expansion of 0.5 in k 3.707 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.707 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.707 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.707 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.707 * [taylor]: Taking taylor expansion of 1.0 in k 3.707 * [taylor]: Taking taylor expansion of (log n) in k 3.707 * [taylor]: Taking taylor expansion of n in k 3.707 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.707 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.707 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.707 * [taylor]: Taking taylor expansion of 1.0 in k 3.707 * [taylor]: Taking taylor expansion of (log PI) in k 3.707 * [taylor]: Taking taylor expansion of PI in k 3.715 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.715 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.715 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.715 * [taylor]: Taking taylor expansion of 1.0 in k 3.715 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.715 * [taylor]: Taking taylor expansion of 2.0 in k 3.724 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.724 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.724 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.724 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.724 * [taylor]: Taking taylor expansion of 0.5 in k 3.724 * [taylor]: Taking taylor expansion of k in k 3.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.724 * [taylor]: Taking taylor expansion of 2.0 in k 3.725 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.725 * [taylor]: Taking taylor expansion of PI in k 3.725 * [taylor]: Taking taylor expansion of n in k 3.728 * [taylor]: Taking taylor expansion of 0 in n 3.744 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.744 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.744 * [taylor]: Taking taylor expansion of +nan.0 in n 3.744 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.744 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.744 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.744 * [taylor]: Taking taylor expansion of 0.5 in n 3.744 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.744 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.744 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.744 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.744 * [taylor]: Taking taylor expansion of 1.0 in n 3.744 * [taylor]: Taking taylor expansion of (log n) in n 3.744 * [taylor]: Taking taylor expansion of n in n 3.745 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.745 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.745 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.745 * [taylor]: Taking taylor expansion of 1.0 in n 3.745 * [taylor]: Taking taylor expansion of (log PI) in n 3.745 * [taylor]: Taking taylor expansion of PI in n 3.747 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.747 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.747 * [taylor]: Taking taylor expansion of 1.0 in n 3.747 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.747 * [taylor]: Taking taylor expansion of 2.0 in n 3.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.755 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.755 * [taylor]: Taking taylor expansion of 0.5 in n 3.755 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.755 * [taylor]: Taking taylor expansion of 2.0 in n 3.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.755 * [taylor]: Taking taylor expansion of PI in n 3.755 * [taylor]: Taking taylor expansion of n in n 3.757 * [taylor]: Taking taylor expansion of k in n 3.794 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.794 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.794 * [taylor]: Taking taylor expansion of +nan.0 in n 3.794 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.794 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.794 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.794 * [taylor]: Taking taylor expansion of 0.5 in n 3.794 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.794 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.794 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.794 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.794 * [taylor]: Taking taylor expansion of 1.0 in n 3.794 * [taylor]: Taking taylor expansion of (log n) in n 3.794 * [taylor]: Taking taylor expansion of n in n 3.795 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.795 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.795 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.795 * [taylor]: Taking taylor expansion of 1.0 in n 3.795 * [taylor]: Taking taylor expansion of (log PI) in n 3.795 * [taylor]: Taking taylor expansion of PI in n 3.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.797 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.797 * [taylor]: Taking taylor expansion of 1.0 in n 3.797 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.797 * [taylor]: Taking taylor expansion of 2.0 in n 3.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.812 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.812 * [taylor]: Taking taylor expansion of 0.5 in n 3.812 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.812 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.812 * [taylor]: Taking taylor expansion of 2.0 in n 3.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.812 * [taylor]: Taking taylor expansion of PI in n 3.812 * [taylor]: Taking taylor expansion of n in n 3.814 * [taylor]: Taking taylor expansion of k in n 3.882 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.882 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.882 * [taylor]: Taking taylor expansion of +nan.0 in n 3.882 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.882 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.882 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.882 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.882 * [taylor]: Taking taylor expansion of 0.5 in n 3.882 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.882 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.882 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.882 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.882 * [taylor]: Taking taylor expansion of 1.0 in n 3.882 * [taylor]: Taking taylor expansion of (log n) in n 3.882 * [taylor]: Taking taylor expansion of n in n 3.883 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.883 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.883 * [taylor]: Taking taylor expansion of 1.0 in n 3.883 * [taylor]: Taking taylor expansion of (log PI) in n 3.883 * [taylor]: Taking taylor expansion of PI in n 3.885 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.885 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.885 * [taylor]: Taking taylor expansion of 1.0 in n 3.885 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.885 * [taylor]: Taking taylor expansion of 2.0 in n 3.900 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.900 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.900 * [taylor]: Taking taylor expansion of 0.5 in n 3.900 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.900 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.900 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.900 * [taylor]: Taking taylor expansion of 2.0 in n 3.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.900 * [taylor]: Taking taylor expansion of PI in n 3.900 * [taylor]: Taking taylor expansion of n in n 3.902 * [taylor]: Taking taylor expansion of k in n 3.921 * [approximate]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (k n) around 0 3.922 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.922 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.922 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.922 * [taylor]: Taking taylor expansion of -1 in n 3.922 * [taylor]: Taking taylor expansion of k in n 3.922 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.922 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.922 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.922 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.922 * [taylor]: Taking taylor expansion of -0.5 in n 3.922 * [taylor]: Taking taylor expansion of k in n 3.922 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.922 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.922 * [taylor]: Taking taylor expansion of -2.0 in n 3.922 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.922 * [taylor]: Taking taylor expansion of PI in n 3.922 * [taylor]: Taking taylor expansion of n in n 3.925 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.926 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.926 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.926 * [taylor]: Taking taylor expansion of 0.5 in n 3.926 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.926 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.926 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.926 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.926 * [taylor]: Taking taylor expansion of 1.0 in n 3.926 * [taylor]: Taking taylor expansion of (log n) in n 3.926 * [taylor]: Taking taylor expansion of n in n 3.926 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.926 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.926 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.926 * [taylor]: Taking taylor expansion of 1.0 in n 3.926 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.926 * [taylor]: Taking taylor expansion of -2.0 in n 3.928 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.928 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.928 * [taylor]: Taking taylor expansion of 1.0 in n 3.928 * [taylor]: Taking taylor expansion of (log PI) in n 3.928 * [taylor]: Taking taylor expansion of PI in n 3.937 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 3.937 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.937 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.937 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.937 * [taylor]: Taking taylor expansion of -1 in k 3.937 * [taylor]: Taking taylor expansion of k in k 3.938 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.938 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.938 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.938 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.938 * [taylor]: Taking taylor expansion of -0.5 in k 3.938 * [taylor]: Taking taylor expansion of k in k 3.939 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.939 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.939 * [taylor]: Taking taylor expansion of -2.0 in k 3.939 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.939 * [taylor]: Taking taylor expansion of PI in k 3.939 * [taylor]: Taking taylor expansion of n in k 3.939 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.939 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.939 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.939 * [taylor]: Taking taylor expansion of 0.5 in k 3.939 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.939 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.939 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.939 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.939 * [taylor]: Taking taylor expansion of 1.0 in k 3.939 * [taylor]: Taking taylor expansion of (log n) in k 3.939 * [taylor]: Taking taylor expansion of n in k 3.939 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.939 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.939 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.939 * [taylor]: Taking taylor expansion of 1.0 in k 3.939 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.939 * [taylor]: Taking taylor expansion of -2.0 in k 3.941 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.941 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.941 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.941 * [taylor]: Taking taylor expansion of 1.0 in k 3.941 * [taylor]: Taking taylor expansion of (log PI) in k 3.941 * [taylor]: Taking taylor expansion of PI in k 3.949 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 3.949 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.949 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.949 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.949 * [taylor]: Taking taylor expansion of -1 in k 3.949 * [taylor]: Taking taylor expansion of k in k 3.951 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.951 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.951 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.951 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.951 * [taylor]: Taking taylor expansion of -0.5 in k 3.951 * [taylor]: Taking taylor expansion of k in k 3.951 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.951 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.951 * [taylor]: Taking taylor expansion of -2.0 in k 3.951 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.951 * [taylor]: Taking taylor expansion of PI in k 3.951 * [taylor]: Taking taylor expansion of n in k 3.951 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.952 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.952 * [taylor]: Taking taylor expansion of 0.5 in k 3.952 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.952 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.952 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.952 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.952 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.952 * [taylor]: Taking taylor expansion of 1.0 in k 3.952 * [taylor]: Taking taylor expansion of (log n) in k 3.952 * [taylor]: Taking taylor expansion of n in k 3.952 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.952 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.952 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.952 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.952 * [taylor]: Taking taylor expansion of 1.0 in k 3.952 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.952 * [taylor]: Taking taylor expansion of -2.0 in k 3.954 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.954 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.954 * [taylor]: Taking taylor expansion of 1.0 in k 3.954 * [taylor]: Taking taylor expansion of (log PI) in k 3.954 * [taylor]: Taking taylor expansion of PI in k 3.963 * [taylor]: Taking taylor expansion of 0 in n 3.979 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 3.979 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 3.979 * [taylor]: Taking taylor expansion of +nan.0 in n 3.979 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.979 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.979 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.979 * [taylor]: Taking taylor expansion of -0.5 in n 3.979 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.979 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.979 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.979 * [taylor]: Taking taylor expansion of -2.0 in n 3.979 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.979 * [taylor]: Taking taylor expansion of PI in n 3.979 * [taylor]: Taking taylor expansion of n in n 3.987 * [taylor]: Taking taylor expansion of k in n 3.991 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.991 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.991 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.991 * [taylor]: Taking taylor expansion of 0.5 in n 3.991 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.991 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.991 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.991 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.991 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.991 * [taylor]: Taking taylor expansion of 1.0 in n 3.991 * [taylor]: Taking taylor expansion of (log n) in n 3.991 * [taylor]: Taking taylor expansion of n in n 3.992 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.992 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.992 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.992 * [taylor]: Taking taylor expansion of 1.0 in n 3.992 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.992 * [taylor]: Taking taylor expansion of -2.0 in n 3.993 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.993 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.993 * [taylor]: Taking taylor expansion of 1.0 in n 3.993 * [taylor]: Taking taylor expansion of (log PI) in n 3.994 * [taylor]: Taking taylor expansion of PI in n 4.034 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 4.034 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 4.034 * [taylor]: Taking taylor expansion of +nan.0 in n 4.034 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 4.034 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.034 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.034 * [taylor]: Taking taylor expansion of -0.5 in n 4.034 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.034 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.034 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.034 * [taylor]: Taking taylor expansion of -2.0 in n 4.034 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.034 * [taylor]: Taking taylor expansion of PI in n 4.034 * [taylor]: Taking taylor expansion of n in n 4.035 * [taylor]: Taking taylor expansion of k in n 4.039 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 4.039 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 4.039 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 4.039 * [taylor]: Taking taylor expansion of 0.5 in n 4.039 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 4.039 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 4.039 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.039 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.039 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.039 * [taylor]: Taking taylor expansion of 1.0 in n 4.039 * [taylor]: Taking taylor expansion of (log n) in n 4.039 * [taylor]: Taking taylor expansion of n in n 4.040 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.040 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.040 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.040 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.040 * [taylor]: Taking taylor expansion of 1.0 in n 4.040 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.040 * [taylor]: Taking taylor expansion of -2.0 in n 4.041 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.041 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.041 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.041 * [taylor]: Taking taylor expansion of 1.0 in n 4.042 * [taylor]: Taking taylor expansion of (log PI) in n 4.042 * [taylor]: Taking taylor expansion of PI in n 4.119 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 4.119 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 4.119 * [taylor]: Taking taylor expansion of +nan.0 in n 4.119 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 4.119 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.119 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.119 * [taylor]: Taking taylor expansion of -0.5 in n 4.119 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.119 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.119 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.119 * [taylor]: Taking taylor expansion of -2.0 in n 4.119 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.119 * [taylor]: Taking taylor expansion of PI in n 4.119 * [taylor]: Taking taylor expansion of n in n 4.120 * [taylor]: Taking taylor expansion of k in n 4.124 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 4.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 4.124 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 4.124 * [taylor]: Taking taylor expansion of 0.5 in n 4.124 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 4.124 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 4.124 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.124 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.124 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.124 * [taylor]: Taking taylor expansion of 1.0 in n 4.124 * [taylor]: Taking taylor expansion of (log n) in n 4.124 * [taylor]: Taking taylor expansion of n in n 4.125 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.125 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.125 * [taylor]: Taking taylor expansion of 1.0 in n 4.125 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.125 * [taylor]: Taking taylor expansion of -2.0 in n 4.126 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.126 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.126 * [taylor]: Taking taylor expansion of 1.0 in n 4.126 * [taylor]: Taking taylor expansion of (log PI) in n 4.127 * [taylor]: Taking taylor expansion of PI in n 4.150 * * * [progress]: simplifying candidates 4.152 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) 1) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5))) (- (+ (* +nan.0 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5)))))))) 4.169 * * [simplify]: iteration 0 : 844 enodes (cost 1336 ) 4.183 * * [simplify]: iteration 1 : 3551 enodes (cost 1160 ) 4.243 * * [simplify]: iteration 2 : 5002 enodes (cost 1122 ) 4.249 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (fma (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0)) (log (sqrt k))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (pow k 2))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (fma (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (pow k 3) (fma (- (* +nan.0 (* (pow k 3) (log n)))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (fma (* +nan.0 (pow k 3)) (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (fma (- (* +nan.0 k)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (fma (- (* +nan.0 (* (pow k 3) (pow (log n) 2)))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (fma (- (* +nan.0 (* (pow k 3) (* (log (* 2.0 PI)) (log n))))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))))) (fma (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 2)))))) (fma (- (* +nan.0 (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (* +nan.0 (- (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5))))) 4.250 * * * [progress]: adding candidates to table 4.523 * * [progress]: iteration 4 / 4 4.523 * * * [progress]: picking best candidate 4.545 * * * * [pick]: Picked # 4.545 * * * [progress]: localizing error 4.564 * * * [progress]: generating rewritten candidates 4.564 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.571 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 4.578 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 4.583 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1) 4.590 * * * [progress]: generating series expansions 4.590 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.592 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in (n k) around 0 4.592 * [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 4.592 * [taylor]: Taking taylor expansion of 1.0 in k 4.592 * [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 4.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.592 * [taylor]: Taking taylor expansion of k in k 4.593 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.593 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.593 * [taylor]: Taking taylor expansion of 0.5 in k 4.593 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.593 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.593 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.593 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.593 * [taylor]: Taking taylor expansion of 1.0 in k 4.594 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.594 * [taylor]: Taking taylor expansion of 2.0 in k 4.596 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.596 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.596 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.596 * [taylor]: Taking taylor expansion of 1.0 in k 4.596 * [taylor]: Taking taylor expansion of (log n) in k 4.596 * [taylor]: Taking taylor expansion of n in k 4.596 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.596 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.596 * [taylor]: Taking taylor expansion of 1.0 in k 4.596 * [taylor]: Taking taylor expansion of (log PI) in k 4.596 * [taylor]: Taking taylor expansion of PI in k 4.606 * [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 4.606 * [taylor]: Taking taylor expansion of 1.0 in n 4.606 * [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 4.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.606 * [taylor]: Taking taylor expansion of k in n 4.607 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.607 * [taylor]: Taking taylor expansion of 0.5 in n 4.607 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.607 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.607 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.607 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.607 * [taylor]: Taking taylor expansion of 1.0 in n 4.607 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.607 * [taylor]: Taking taylor expansion of 2.0 in n 4.609 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.609 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.609 * [taylor]: Taking taylor expansion of 1.0 in n 4.609 * [taylor]: Taking taylor expansion of (log n) in n 4.609 * [taylor]: Taking taylor expansion of n in n 4.609 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.609 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.609 * [taylor]: Taking taylor expansion of 1.0 in n 4.609 * [taylor]: Taking taylor expansion of (log PI) in n 4.609 * [taylor]: Taking taylor expansion of PI in n 4.615 * [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 4.615 * [taylor]: Taking taylor expansion of 1.0 in n 4.615 * [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 4.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.615 * [taylor]: Taking taylor expansion of k in n 4.615 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.615 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.615 * [taylor]: Taking taylor expansion of 0.5 in n 4.615 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.615 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.615 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.615 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.615 * [taylor]: Taking taylor expansion of 1.0 in n 4.615 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.615 * [taylor]: Taking taylor expansion of 2.0 in n 4.617 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.617 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.617 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.617 * [taylor]: Taking taylor expansion of 1.0 in n 4.617 * [taylor]: Taking taylor expansion of (log n) in n 4.617 * [taylor]: Taking taylor expansion of n in n 4.618 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.618 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.618 * [taylor]: Taking taylor expansion of 1.0 in n 4.618 * [taylor]: Taking taylor expansion of (log PI) in n 4.618 * [taylor]: Taking taylor expansion of PI in n 4.625 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.625 * [taylor]: Taking taylor expansion of 1.0 in k 4.625 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.625 * [taylor]: Taking taylor expansion of k in k 4.626 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.626 * [taylor]: Taking taylor expansion of 0.5 in k 4.626 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.627 * [taylor]: Taking taylor expansion of 1.0 in k 4.627 * [taylor]: Taking taylor expansion of (log PI) in k 4.627 * [taylor]: Taking taylor expansion of PI in k 4.628 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.628 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.629 * [taylor]: Taking taylor expansion of 1.0 in k 4.629 * [taylor]: Taking taylor expansion of (log n) in k 4.629 * [taylor]: Taking taylor expansion of n in k 4.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.629 * [taylor]: Taking taylor expansion of 1.0 in k 4.629 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.629 * [taylor]: Taking taylor expansion of 2.0 in k 4.648 * [taylor]: Taking taylor expansion of 0 in k 4.680 * [taylor]: Taking taylor expansion of 0 in k 4.735 * [taylor]: Taking taylor expansion of 0 in k 4.768 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.768 * [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 4.768 * [taylor]: Taking taylor expansion of 1.0 in k 4.768 * [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 4.768 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.768 * [taylor]: Taking taylor expansion of k in k 4.769 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.769 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.769 * [taylor]: Taking taylor expansion of 0.5 in k 4.769 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.769 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.769 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.769 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.769 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.769 * [taylor]: Taking taylor expansion of 1.0 in k 4.769 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.769 * [taylor]: Taking taylor expansion of 2.0 in k 4.771 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.771 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.771 * [taylor]: Taking taylor expansion of 1.0 in k 4.771 * [taylor]: Taking taylor expansion of (log PI) in k 4.771 * [taylor]: Taking taylor expansion of PI in k 4.780 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.780 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.780 * [taylor]: Taking taylor expansion of 1.0 in k 4.780 * [taylor]: Taking taylor expansion of (log n) in k 4.780 * [taylor]: Taking taylor expansion of n in k 4.786 * [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 4.786 * [taylor]: Taking taylor expansion of 1.0 in n 4.786 * [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 4.786 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.786 * [taylor]: Taking taylor expansion of k in n 4.787 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.787 * [taylor]: Taking taylor expansion of 0.5 in n 4.787 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.787 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.787 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.787 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.787 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.787 * [taylor]: Taking taylor expansion of 1.0 in n 4.787 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.787 * [taylor]: Taking taylor expansion of 2.0 in n 4.788 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.789 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.789 * [taylor]: Taking taylor expansion of 1.0 in n 4.789 * [taylor]: Taking taylor expansion of (log PI) in n 4.789 * [taylor]: Taking taylor expansion of PI in n 4.790 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.790 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.790 * [taylor]: Taking taylor expansion of 1.0 in n 4.790 * [taylor]: Taking taylor expansion of (log n) in n 4.790 * [taylor]: Taking taylor expansion of n in n 4.797 * [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 4.797 * [taylor]: Taking taylor expansion of 1.0 in n 4.797 * [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 4.797 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.797 * [taylor]: Taking taylor expansion of k in n 4.797 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.798 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.798 * [taylor]: Taking taylor expansion of 0.5 in n 4.798 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.798 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.798 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.798 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.798 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.798 * [taylor]: Taking taylor expansion of 1.0 in n 4.798 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.798 * [taylor]: Taking taylor expansion of 2.0 in n 4.799 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.799 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.799 * [taylor]: Taking taylor expansion of 1.0 in n 4.799 * [taylor]: Taking taylor expansion of (log PI) in n 4.800 * [taylor]: Taking taylor expansion of PI in n 4.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.801 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.801 * [taylor]: Taking taylor expansion of 1.0 in n 4.801 * [taylor]: Taking taylor expansion of (log n) in n 4.801 * [taylor]: Taking taylor expansion of n in n 4.811 * [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 4.811 * [taylor]: Taking taylor expansion of 1.0 in k 4.811 * [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 4.811 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.811 * [taylor]: Taking taylor expansion of k in k 4.812 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.813 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.813 * [taylor]: Taking taylor expansion of 0.5 in k 4.813 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.813 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.813 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.813 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.813 * [taylor]: Taking taylor expansion of 1.0 in k 4.813 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.813 * [taylor]: Taking taylor expansion of 2.0 in k 4.814 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.814 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.814 * [taylor]: Taking taylor expansion of 1.0 in k 4.814 * [taylor]: Taking taylor expansion of (log PI) in k 4.814 * [taylor]: Taking taylor expansion of PI in k 4.816 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.816 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.816 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.816 * [taylor]: Taking taylor expansion of 1.0 in k 4.816 * [taylor]: Taking taylor expansion of (log n) in k 4.816 * [taylor]: Taking taylor expansion of n in k 4.839 * [taylor]: Taking taylor expansion of 0 in k 4.885 * [taylor]: Taking taylor expansion of 0 in k 4.939 * [taylor]: Taking taylor expansion of 0 in k 4.986 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.987 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.987 * [taylor]: Taking taylor expansion of 1.0 in k 4.987 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.987 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.987 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.987 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.987 * [taylor]: Taking taylor expansion of -1 in k 4.987 * [taylor]: Taking taylor expansion of k in k 4.988 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.988 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.988 * [taylor]: Taking taylor expansion of 0.5 in k 4.988 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.988 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.988 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.988 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.988 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.988 * [taylor]: Taking taylor expansion of 1.0 in k 4.988 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.988 * [taylor]: Taking taylor expansion of -2.0 in k 4.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.990 * [taylor]: Taking taylor expansion of 1.0 in k 4.990 * [taylor]: Taking taylor expansion of (log PI) in k 4.990 * [taylor]: Taking taylor expansion of PI in k 4.992 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.992 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.992 * [taylor]: Taking taylor expansion of 1.0 in k 4.992 * [taylor]: Taking taylor expansion of (log n) in k 4.992 * [taylor]: Taking taylor expansion of n in k 4.999 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.999 * [taylor]: Taking taylor expansion of 1.0 in n 4.999 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.999 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 4.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.999 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.999 * [taylor]: Taking taylor expansion of -1 in n 4.999 * [taylor]: Taking taylor expansion of k in n 4.999 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.999 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.999 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.999 * [taylor]: Taking taylor expansion of 0.5 in n 4.999 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.999 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.999 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.999 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.999 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.999 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.999 * [taylor]: Taking taylor expansion of 1.0 in n 4.999 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.999 * [taylor]: Taking taylor expansion of -2.0 in n 5.001 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.001 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.001 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.001 * [taylor]: Taking taylor expansion of 1.0 in n 5.001 * [taylor]: Taking taylor expansion of (log PI) in n 5.001 * [taylor]: Taking taylor expansion of PI in n 5.003 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.003 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.003 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.003 * [taylor]: Taking taylor expansion of 1.0 in n 5.003 * [taylor]: Taking taylor expansion of (log n) in n 5.003 * [taylor]: Taking taylor expansion of n in n 5.010 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.010 * [taylor]: Taking taylor expansion of 1.0 in n 5.010 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.010 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.010 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.010 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.010 * [taylor]: Taking taylor expansion of -1 in n 5.010 * [taylor]: Taking taylor expansion of k in n 5.010 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.011 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.011 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.011 * [taylor]: Taking taylor expansion of 0.5 in n 5.011 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.011 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.011 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.011 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.011 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.011 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.011 * [taylor]: Taking taylor expansion of 1.0 in n 5.011 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.011 * [taylor]: Taking taylor expansion of -2.0 in n 5.012 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.012 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.012 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.013 * [taylor]: Taking taylor expansion of 1.0 in n 5.013 * [taylor]: Taking taylor expansion of (log PI) in n 5.013 * [taylor]: Taking taylor expansion of PI in n 5.014 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.014 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.014 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.014 * [taylor]: Taking taylor expansion of 1.0 in n 5.014 * [taylor]: Taking taylor expansion of (log n) in n 5.014 * [taylor]: Taking taylor expansion of n in n 5.024 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.024 * [taylor]: Taking taylor expansion of 1.0 in k 5.024 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.024 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.024 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.024 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.024 * [taylor]: Taking taylor expansion of -1 in k 5.024 * [taylor]: Taking taylor expansion of k in k 5.026 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.026 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.026 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.026 * [taylor]: Taking taylor expansion of 0.5 in k 5.026 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.026 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.026 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.026 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.026 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.026 * [taylor]: Taking taylor expansion of 1.0 in k 5.026 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.026 * [taylor]: Taking taylor expansion of -2.0 in k 5.028 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.028 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.028 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.028 * [taylor]: Taking taylor expansion of 1.0 in k 5.028 * [taylor]: Taking taylor expansion of (log PI) in k 5.028 * [taylor]: Taking taylor expansion of PI in k 5.030 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.030 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.030 * [taylor]: Taking taylor expansion of 1.0 in k 5.030 * [taylor]: Taking taylor expansion of (log n) in k 5.030 * [taylor]: Taking taylor expansion of n in k 5.063 * [taylor]: Taking taylor expansion of 0 in k 5.106 * [taylor]: Taking taylor expansion of 0 in k 5.147 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 5.148 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.148 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.148 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.148 * [taylor]: Taking taylor expansion of 0.5 in n 5.148 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.148 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.148 * [taylor]: Taking taylor expansion of 2.0 in n 5.148 * [taylor]: Taking taylor expansion of (* n PI) in n 5.148 * [taylor]: Taking taylor expansion of n in n 5.148 * [taylor]: Taking taylor expansion of PI in n 5.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.153 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.153 * [taylor]: Taking taylor expansion of 0.5 in n 5.154 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.154 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.154 * [taylor]: Taking taylor expansion of 2.0 in n 5.154 * [taylor]: Taking taylor expansion of (* n PI) in n 5.154 * [taylor]: Taking taylor expansion of n in n 5.154 * [taylor]: Taking taylor expansion of PI in n 5.240 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.240 * [taylor]: Taking taylor expansion of 0.5 in n 5.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.240 * [taylor]: Taking taylor expansion of 2.0 in n 5.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.240 * [taylor]: Taking taylor expansion of PI in n 5.240 * [taylor]: Taking taylor expansion of n in n 5.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.244 * [taylor]: Taking taylor expansion of 0.5 in n 5.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.245 * [taylor]: Taking taylor expansion of 2.0 in n 5.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.245 * [taylor]: Taking taylor expansion of PI in n 5.245 * [taylor]: Taking taylor expansion of n in n 5.329 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.329 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.329 * [taylor]: Taking taylor expansion of 0.5 in n 5.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.329 * [taylor]: Taking taylor expansion of -2.0 in n 5.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.329 * [taylor]: Taking taylor expansion of PI in n 5.329 * [taylor]: Taking taylor expansion of n in n 5.332 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.332 * [taylor]: Taking taylor expansion of 0.5 in n 5.332 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.332 * [taylor]: Taking taylor expansion of -2.0 in n 5.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.332 * [taylor]: Taking taylor expansion of PI in n 5.332 * [taylor]: Taking taylor expansion of n in n 5.414 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.414 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.414 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.414 * [taylor]: Taking taylor expansion of 2.0 in n 5.414 * [taylor]: Taking taylor expansion of (* n PI) in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.415 * [taylor]: Taking taylor expansion of PI in n 5.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.415 * [taylor]: Taking taylor expansion of 2.0 in n 5.415 * [taylor]: Taking taylor expansion of (* n PI) in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.415 * [taylor]: Taking taylor expansion of PI in n 5.427 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.427 * [taylor]: Taking taylor expansion of 2.0 in n 5.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.427 * [taylor]: Taking taylor expansion of PI in n 5.427 * [taylor]: Taking taylor expansion of n in n 5.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.427 * [taylor]: Taking taylor expansion of 2.0 in n 5.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.427 * [taylor]: Taking taylor expansion of PI in n 5.427 * [taylor]: Taking taylor expansion of n in n 5.437 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.437 * [taylor]: Taking taylor expansion of -2.0 in n 5.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.437 * [taylor]: Taking taylor expansion of PI in n 5.437 * [taylor]: Taking taylor expansion of n in n 5.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.437 * [taylor]: Taking taylor expansion of -2.0 in n 5.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.437 * [taylor]: Taking taylor expansion of PI in n 5.437 * [taylor]: Taking taylor expansion of n in n 5.446 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1) 5.447 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.447 * [taylor]: Taking taylor expansion of 2.0 in n 5.447 * [taylor]: Taking taylor expansion of (* n PI) in n 5.447 * [taylor]: Taking taylor expansion of n in n 5.447 * [taylor]: Taking taylor expansion of PI in n 5.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.447 * [taylor]: Taking taylor expansion of 2.0 in n 5.447 * [taylor]: Taking taylor expansion of (* n PI) in n 5.447 * [taylor]: Taking taylor expansion of n in n 5.447 * [taylor]: Taking taylor expansion of PI in n 5.466 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.466 * [taylor]: Taking taylor expansion of 2.0 in n 5.466 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.466 * [taylor]: Taking taylor expansion of PI in n 5.466 * [taylor]: Taking taylor expansion of n in n 5.466 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.467 * [taylor]: Taking taylor expansion of 2.0 in n 5.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.467 * [taylor]: Taking taylor expansion of PI in n 5.467 * [taylor]: Taking taylor expansion of n in n 5.476 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.476 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.476 * [taylor]: Taking taylor expansion of -2.0 in n 5.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.476 * [taylor]: Taking taylor expansion of PI in n 5.476 * [taylor]: Taking taylor expansion of n in n 5.476 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.476 * [taylor]: Taking taylor expansion of -2.0 in n 5.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.476 * [taylor]: Taking taylor expansion of PI in n 5.476 * [taylor]: Taking taylor expansion of n in n 5.485 * * * [progress]: simplifying candidates 5.486 * [simplify]: Simplifying using # : (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* +nan.0 (* k (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 k) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 k))) (- (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2)))) (- (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.494 * * [simplify]: iteration 0 : 583 enodes (cost 754 ) 5.504 * * [simplify]: iteration 1 : 2438 enodes (cost 655 ) 5.547 * * [simplify]: iteration 2 : 5003 enodes (cost 646 ) 5.551 * [simplify]: Simplified to: (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- (* +nan.0 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- +nan.0 (* +nan.0 (pow k 2))))) (fma (- +nan.0) (/ (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (/ 1 (pow k 3))) (* +nan.0 (/ 1 (pow k 2)))))) (fma (- +nan.0) (/ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) k) (* +nan.0 (- (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ 1 (pow k 2))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.552 * * * [progress]: adding candidates to table 5.999 * [progress]: [Phase 3 of 3] Extracting. 5.999 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 6.002 * * * [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) 6.002 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 6.045 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 6.090 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 6.132 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.174 * * * [regime]: Found split indices: #