16.288 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.116 * * * [progress]: [2/2] Setting up program. 0.119 * [progress]: [Phase 2 of 3] Improving. 0.119 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.122 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.123 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.125 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.127 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.133 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.155 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.156 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.156 * * [progress]: iteration 1 / 4 0.156 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.175 * * * [progress]: generating rewritten candidates 0.175 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.184 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.193 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.215 * * * [progress]: generating series expansions 0.215 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.216 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.216 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.216 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.216 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.216 * [taylor]: Taking taylor expansion of 0.5 in k 0.216 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.216 * [taylor]: Taking taylor expansion of 1.0 in k 0.216 * [taylor]: Taking taylor expansion of k in k 0.216 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.216 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.216 * [taylor]: Taking taylor expansion of 2.0 in k 0.216 * [taylor]: Taking taylor expansion of (* n PI) in k 0.216 * [taylor]: Taking taylor expansion of n in k 0.216 * [taylor]: Taking taylor expansion of PI in k 0.217 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.217 * [taylor]: Taking taylor expansion of 0.5 in n 0.217 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.218 * [taylor]: Taking taylor expansion of 1.0 in n 0.218 * [taylor]: Taking taylor expansion of k in n 0.218 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.218 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.218 * [taylor]: Taking taylor expansion of 2.0 in n 0.218 * [taylor]: Taking taylor expansion of (* n PI) in n 0.218 * [taylor]: Taking taylor expansion of n in n 0.218 * [taylor]: Taking taylor expansion of PI in n 0.223 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.223 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.223 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.223 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.223 * [taylor]: Taking taylor expansion of 0.5 in n 0.223 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.223 * [taylor]: Taking taylor expansion of 1.0 in n 0.223 * [taylor]: Taking taylor expansion of k in n 0.223 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.223 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.224 * [taylor]: Taking taylor expansion of 2.0 in n 0.224 * [taylor]: Taking taylor expansion of (* n PI) in n 0.224 * [taylor]: Taking taylor expansion of n in n 0.224 * [taylor]: Taking taylor expansion of PI in n 0.229 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.229 * [taylor]: Taking taylor expansion of 0.5 in k 0.229 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.229 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.229 * [taylor]: Taking taylor expansion of 1.0 in k 0.229 * [taylor]: Taking taylor expansion of k in k 0.229 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.229 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.229 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.229 * [taylor]: Taking taylor expansion of 2.0 in k 0.229 * [taylor]: Taking taylor expansion of PI in k 0.230 * [taylor]: Taking taylor expansion of (log n) in k 0.230 * [taylor]: Taking taylor expansion of n in k 0.240 * [taylor]: Taking taylor expansion of 0 in k 0.261 * [taylor]: Taking taylor expansion of 0 in k 0.280 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.280 * [taylor]: Taking taylor expansion of 0.5 in k 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.281 * [taylor]: Taking taylor expansion of 2.0 in k 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.281 * [taylor]: Taking taylor expansion of PI in k 0.281 * [taylor]: Taking taylor expansion of n in k 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.282 * [taylor]: Taking taylor expansion of 0.5 in n 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.282 * [taylor]: Taking taylor expansion of 1.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.282 * [taylor]: Taking taylor expansion of k in n 0.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.282 * [taylor]: Taking taylor expansion of 2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.286 * [taylor]: Taking taylor expansion of 0.5 in n 0.286 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.286 * [taylor]: Taking taylor expansion of 1.0 in n 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.286 * [taylor]: Taking taylor expansion of k in n 0.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.286 * [taylor]: Taking taylor expansion of 2.0 in n 0.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.290 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.290 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.290 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of (log n) in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of 0 in k 0.309 * [taylor]: Taking taylor expansion of 0 in k 0.318 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.319 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.319 * [taylor]: Taking taylor expansion of 0.5 in k 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.319 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.319 * [taylor]: Taking taylor expansion of -2.0 in k 0.319 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.319 * [taylor]: Taking taylor expansion of PI in k 0.319 * [taylor]: Taking taylor expansion of n in k 0.320 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.320 * [taylor]: Taking taylor expansion of -2.0 in n 0.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.324 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.324 * [taylor]: Taking taylor expansion of 0.5 in n 0.324 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.324 * [taylor]: Taking taylor expansion of k in n 0.324 * [taylor]: Taking taylor expansion of 1.0 in n 0.324 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.324 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.324 * [taylor]: Taking taylor expansion of -2.0 in n 0.324 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.324 * [taylor]: Taking taylor expansion of PI in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.328 * [taylor]: Taking taylor expansion of 0.5 in k 0.328 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.328 * [taylor]: Taking taylor expansion of k in k 0.329 * [taylor]: Taking taylor expansion of 1.0 in k 0.329 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.329 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.329 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.329 * [taylor]: Taking taylor expansion of -2.0 in k 0.329 * [taylor]: Taking taylor expansion of PI in k 0.330 * [taylor]: Taking taylor expansion of (log n) in k 0.330 * [taylor]: Taking taylor expansion of n in k 0.344 * [taylor]: Taking taylor expansion of 0 in k 0.352 * [taylor]: Taking taylor expansion of 0 in k 0.360 * [taylor]: Taking taylor expansion of 0 in k 0.361 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.361 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.361 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.361 * [taylor]: Taking taylor expansion of 1.0 in k 0.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.363 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.363 * [taylor]: Taking taylor expansion of 1.0 in k 0.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.374 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.374 * [taylor]: Taking taylor expansion of 1.0 in k 0.374 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.374 * [taylor]: Taking taylor expansion of k in k 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.376 * [taylor]: Taking taylor expansion of k in k 0.386 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.386 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.386 * [taylor]: Taking taylor expansion of 1.0 in k 0.386 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.386 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.386 * [taylor]: Taking taylor expansion of -1 in k 0.386 * [taylor]: Taking taylor expansion of k in k 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.388 * [taylor]: Taking taylor expansion of 1.0 in k 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.388 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.388 * [taylor]: Taking taylor expansion of -1 in k 0.388 * [taylor]: Taking taylor expansion of k in k 0.400 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.401 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.401 * [taylor]: Taking taylor expansion of 2.0 in n 0.401 * [taylor]: Taking taylor expansion of (* n PI) in n 0.401 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of PI in n 0.414 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.414 * [taylor]: Taking taylor expansion of 2.0 in n 0.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.414 * [taylor]: Taking taylor expansion of PI in n 0.414 * [taylor]: Taking taylor expansion of n in n 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.414 * [taylor]: Taking taylor expansion of 2.0 in n 0.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.415 * [taylor]: Taking taylor expansion of PI in n 0.415 * [taylor]: Taking taylor expansion of n in n 0.430 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.430 * [taylor]: Taking taylor expansion of -2.0 in n 0.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.430 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.430 * [taylor]: Taking taylor expansion of -2.0 in n 0.430 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.430 * [taylor]: Taking taylor expansion of PI in n 0.430 * [taylor]: Taking taylor expansion of n in n 0.439 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.440 * [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 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.440 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.440 * [taylor]: Taking taylor expansion of k in n 0.440 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.440 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.440 * [taylor]: Taking taylor expansion of 0.5 in n 0.440 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.440 * [taylor]: Taking taylor expansion of k in n 0.440 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.440 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.440 * [taylor]: Taking taylor expansion of 2.0 in n 0.440 * [taylor]: Taking taylor expansion of (* n PI) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.445 * [taylor]: Taking taylor expansion of 1.0 in k 0.445 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.446 * [taylor]: Taking taylor expansion of k in k 0.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.447 * [taylor]: Taking taylor expansion of 0.5 in k 0.447 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.447 * [taylor]: Taking taylor expansion of 1.0 in k 0.447 * [taylor]: Taking taylor expansion of k in k 0.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.447 * [taylor]: Taking taylor expansion of 2.0 in k 0.447 * [taylor]: Taking taylor expansion of (* n PI) in k 0.447 * [taylor]: Taking taylor expansion of n in k 0.447 * [taylor]: Taking taylor expansion of PI in k 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.448 * [taylor]: Taking taylor expansion of 1.0 in k 0.448 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.448 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.448 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.448 * [taylor]: Taking taylor expansion of k in k 0.449 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.450 * [taylor]: Taking taylor expansion of 0.5 in k 0.450 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.450 * [taylor]: Taking taylor expansion of 2.0 in k 0.450 * [taylor]: Taking taylor expansion of (* n PI) in k 0.450 * [taylor]: Taking taylor expansion of n in k 0.450 * [taylor]: Taking taylor expansion of PI in k 0.451 * [taylor]: Taking taylor expansion of 0 in n 0.456 * [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 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of +nan.0 in n 0.456 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.456 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.457 * [taylor]: Taking taylor expansion of 0.5 in n 0.457 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.457 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.457 * [taylor]: Taking taylor expansion of 1.0 in n 0.457 * [taylor]: Taking taylor expansion of (log PI) in n 0.457 * [taylor]: Taking taylor expansion of PI in n 0.459 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.459 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (log n) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.459 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.459 * [taylor]: Taking taylor expansion of 2.0 in n 0.479 * [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 0.479 * [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 0.479 * [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 0.479 * [taylor]: Taking taylor expansion of +nan.0 in n 0.479 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.479 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.479 * [taylor]: Taking taylor expansion of 0.5 in n 0.479 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.479 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.479 * [taylor]: Taking taylor expansion of 1.0 in n 0.479 * [taylor]: Taking taylor expansion of (log PI) in n 0.479 * [taylor]: Taking taylor expansion of PI in n 0.481 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log n) in n 0.481 * [taylor]: Taking taylor expansion of n in n 0.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.482 * [taylor]: Taking taylor expansion of 2.0 in n 0.487 * [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 0.487 * [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 0.487 * [taylor]: Taking taylor expansion of +nan.0 in n 0.487 * [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 0.487 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.487 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.487 * [taylor]: Taking taylor expansion of 0.5 in n 0.487 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.487 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.487 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.487 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.487 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.487 * [taylor]: Taking taylor expansion of 1.0 in n 0.487 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.487 * [taylor]: Taking taylor expansion of 2.0 in n 0.489 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.489 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.489 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.489 * [taylor]: Taking taylor expansion of 1.0 in n 0.489 * [taylor]: Taking taylor expansion of (log PI) in n 0.489 * [taylor]: Taking taylor expansion of PI in n 0.491 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.491 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [taylor]: Taking taylor expansion of (log n) in n 0.491 * [taylor]: Taking taylor expansion of n in n 0.495 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.495 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.495 * [taylor]: Taking taylor expansion of 2.0 in n 0.495 * [taylor]: Taking taylor expansion of (* n PI) in n 0.495 * [taylor]: Taking taylor expansion of n in n 0.495 * [taylor]: Taking taylor expansion of PI in n 0.552 * [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 0.552 * [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 0.552 * [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 0.552 * [taylor]: Taking taylor expansion of +nan.0 in n 0.552 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.552 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.552 * [taylor]: Taking taylor expansion of 0.5 in n 0.552 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.552 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.552 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.552 * [taylor]: Taking taylor expansion of 1.0 in n 0.552 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.552 * [taylor]: Taking taylor expansion of 2.0 in n 0.554 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log n) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (log PI) in n 0.555 * [taylor]: Taking taylor expansion of PI in n 0.560 * [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 0.560 * [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 0.560 * [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 0.560 * [taylor]: Taking taylor expansion of +nan.0 in n 0.560 * [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 0.560 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.560 * [taylor]: Taking taylor expansion of 0.5 in n 0.560 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.560 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.560 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.560 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.560 * [taylor]: Taking taylor expansion of 1.0 in n 0.560 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.560 * [taylor]: Taking taylor expansion of 2.0 in n 0.562 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log PI) in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.564 * [taylor]: Taking taylor expansion of 1.0 in n 0.564 * [taylor]: Taking taylor expansion of (log n) in n 0.564 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.568 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.568 * [taylor]: Taking taylor expansion of 2.0 in n 0.568 * [taylor]: Taking taylor expansion of (* n PI) in n 0.568 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of PI in n 0.571 * [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 0.571 * [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 0.571 * [taylor]: Taking taylor expansion of +nan.0 in n 0.571 * [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 0.571 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.571 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.571 * [taylor]: Taking taylor expansion of 0.5 in n 0.571 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.572 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.572 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.572 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.572 * [taylor]: Taking taylor expansion of 1.0 in n 0.572 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.572 * [taylor]: Taking taylor expansion of 2.0 in n 0.573 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of (log PI) in n 0.574 * [taylor]: Taking taylor expansion of PI in n 0.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log n) in n 0.576 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.580 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.580 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.580 * [taylor]: Taking taylor expansion of 2.0 in n 0.580 * [taylor]: Taking taylor expansion of (* n PI) in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of PI in n 0.659 * [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 0.659 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.659 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.659 * [taylor]: Taking taylor expansion of k in n 0.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.659 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.659 * [taylor]: Taking taylor expansion of 0.5 in n 0.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.659 * [taylor]: Taking taylor expansion of k in n 0.659 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.659 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.659 * [taylor]: Taking taylor expansion of 2.0 in n 0.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.659 * [taylor]: Taking taylor expansion of PI in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.663 * [taylor]: Taking taylor expansion of 1.0 in k 0.663 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.663 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.663 * [taylor]: Taking taylor expansion of k in k 0.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.664 * [taylor]: Taking taylor expansion of 0.5 in k 0.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.665 * [taylor]: Taking taylor expansion of 2.0 in k 0.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.665 * [taylor]: Taking taylor expansion of PI in k 0.665 * [taylor]: Taking taylor expansion of n in k 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.666 * [taylor]: Taking taylor expansion of 1.0 in k 0.666 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.666 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.666 * [taylor]: Taking taylor expansion of k in k 0.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.667 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.667 * [taylor]: Taking taylor expansion of 0.5 in k 0.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.667 * [taylor]: Taking taylor expansion of 1.0 in k 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.667 * [taylor]: Taking taylor expansion of k in k 0.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.667 * [taylor]: Taking taylor expansion of 2.0 in k 0.667 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.667 * [taylor]: Taking taylor expansion of PI in k 0.667 * [taylor]: Taking taylor expansion of n in k 0.669 * [taylor]: Taking taylor expansion of 0 in n 0.670 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.670 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.670 * [taylor]: Taking taylor expansion of +nan.0 in n 0.670 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.670 * [taylor]: Taking taylor expansion of 0.5 in n 0.670 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.670 * [taylor]: Taking taylor expansion of 2.0 in n 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.670 * [taylor]: Taking taylor expansion of n in n 0.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.671 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.680 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.680 * [taylor]: Taking taylor expansion of +nan.0 in n 0.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.680 * [taylor]: Taking taylor expansion of 0.5 in n 0.680 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.680 * [taylor]: Taking taylor expansion of 2.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.680 * [taylor]: Taking taylor expansion of PI in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.681 * [taylor]: Taking taylor expansion of 1.0 in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.681 * [taylor]: Taking taylor expansion of k in n 0.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.703 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.703 * [taylor]: Taking taylor expansion of +nan.0 in n 0.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.703 * [taylor]: Taking taylor expansion of 0.5 in n 0.703 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.703 * [taylor]: Taking taylor expansion of 2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.705 * [taylor]: Taking taylor expansion of 1.0 in n 0.705 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.705 * [taylor]: Taking taylor expansion of k in n 0.713 * [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 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.714 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.714 * [taylor]: Taking taylor expansion of 0.5 in n 0.714 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.714 * [taylor]: Taking taylor expansion of k in n 0.714 * [taylor]: Taking taylor expansion of 1.0 in n 0.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.714 * [taylor]: Taking taylor expansion of -2.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.714 * [taylor]: Taking taylor expansion of PI in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.717 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.718 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.718 * [taylor]: Taking taylor expansion of -1 in n 0.718 * [taylor]: Taking taylor expansion of k in n 0.718 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.719 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.719 * [taylor]: Taking taylor expansion of 0.5 in k 0.719 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.719 * [taylor]: Taking taylor expansion of -2.0 in k 0.719 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.719 * [taylor]: Taking taylor expansion of PI in k 0.719 * [taylor]: Taking taylor expansion of n in k 0.720 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.720 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.720 * [taylor]: Taking taylor expansion of -1 in k 0.720 * [taylor]: Taking taylor expansion of k in k 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.721 * [taylor]: Taking taylor expansion of 1.0 in k 0.721 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.721 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.722 * [taylor]: Taking taylor expansion of 0.5 in k 0.722 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.722 * [taylor]: Taking taylor expansion of k in k 0.722 * [taylor]: Taking taylor expansion of 1.0 in k 0.722 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.722 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.722 * [taylor]: Taking taylor expansion of -2.0 in k 0.722 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.722 * [taylor]: Taking taylor expansion of PI in k 0.722 * [taylor]: Taking taylor expansion of n in k 0.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.723 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.723 * [taylor]: Taking taylor expansion of -1 in k 0.723 * [taylor]: Taking taylor expansion of k in k 0.724 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.724 * [taylor]: Taking taylor expansion of +nan.0 in n 0.724 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.724 * [taylor]: Taking taylor expansion of 0.5 in n 0.724 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.724 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.725 * [taylor]: Taking taylor expansion of 1.0 in n 0.725 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.725 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.725 * [taylor]: Taking taylor expansion of -2.0 in n 0.725 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.725 * [taylor]: Taking taylor expansion of PI in n 0.725 * [taylor]: Taking taylor expansion of n in n 0.734 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.734 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.734 * [taylor]: Taking taylor expansion of +nan.0 in n 0.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.734 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.734 * [taylor]: Taking taylor expansion of 0.5 in n 0.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.734 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.734 * [taylor]: Taking taylor expansion of k in n 0.734 * [taylor]: Taking taylor expansion of 1.0 in n 0.734 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.734 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.734 * [taylor]: Taking taylor expansion of -2.0 in n 0.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.734 * [taylor]: Taking taylor expansion of PI in n 0.734 * [taylor]: Taking taylor expansion of n in n 0.752 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.752 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.752 * [taylor]: Taking taylor expansion of +nan.0 in n 0.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.752 * [taylor]: Taking taylor expansion of 0.5 in n 0.752 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.752 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.752 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.752 * [taylor]: Taking taylor expansion of -2.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.752 * [taylor]: Taking taylor expansion of PI in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.762 * * * [progress]: simplifying candidates 0.764 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.860 * * * [progress]: adding candidates to table 1.263 * * [progress]: iteration 2 / 4 1.263 * * * [progress]: picking best candidate 1.289 * * * * [pick]: Picked # 1.289 * * * [progress]: localizing error 1.304 * * * [progress]: generating rewritten candidates 1.304 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.314 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2) 1.323 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.337 * * * [progress]: generating series expansions 1.337 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.338 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.338 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.338 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.338 * [taylor]: Taking taylor expansion of 0.5 in k 1.338 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.338 * [taylor]: Taking taylor expansion of 1.0 in k 1.338 * [taylor]: Taking taylor expansion of k in k 1.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.338 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.338 * [taylor]: Taking taylor expansion of 2.0 in k 1.338 * [taylor]: Taking taylor expansion of (* n PI) in k 1.338 * [taylor]: Taking taylor expansion of n in k 1.338 * [taylor]: Taking taylor expansion of PI in k 1.339 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.339 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.339 * [taylor]: Taking taylor expansion of 0.5 in n 1.339 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.339 * [taylor]: Taking taylor expansion of 1.0 in n 1.339 * [taylor]: Taking taylor expansion of k in n 1.339 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.339 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.339 * [taylor]: Taking taylor expansion of 2.0 in n 1.339 * [taylor]: Taking taylor expansion of (* n PI) in n 1.339 * [taylor]: Taking taylor expansion of n in n 1.339 * [taylor]: Taking taylor expansion of PI in n 1.345 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.345 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.345 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.345 * [taylor]: Taking taylor expansion of 0.5 in n 1.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.345 * [taylor]: Taking taylor expansion of 1.0 in n 1.345 * [taylor]: Taking taylor expansion of k in n 1.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.345 * [taylor]: Taking taylor expansion of 2.0 in n 1.345 * [taylor]: Taking taylor expansion of (* n PI) in n 1.345 * [taylor]: Taking taylor expansion of n in n 1.345 * [taylor]: Taking taylor expansion of PI in n 1.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.351 * [taylor]: Taking taylor expansion of 0.5 in k 1.351 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.351 * [taylor]: Taking taylor expansion of 1.0 in k 1.351 * [taylor]: Taking taylor expansion of k in k 1.351 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.351 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.351 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.351 * [taylor]: Taking taylor expansion of 2.0 in k 1.351 * [taylor]: Taking taylor expansion of PI in k 1.352 * [taylor]: Taking taylor expansion of (log n) in k 1.352 * [taylor]: Taking taylor expansion of n in k 1.361 * [taylor]: Taking taylor expansion of 0 in k 1.378 * [taylor]: Taking taylor expansion of 0 in k 1.397 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.397 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.397 * [taylor]: Taking taylor expansion of 0.5 in k 1.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.397 * [taylor]: Taking taylor expansion of 1.0 in k 1.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.397 * [taylor]: Taking taylor expansion of k in k 1.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.397 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.397 * [taylor]: Taking taylor expansion of 2.0 in k 1.397 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.397 * [taylor]: Taking taylor expansion of PI in k 1.397 * [taylor]: Taking taylor expansion of n in k 1.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.398 * [taylor]: Taking taylor expansion of 0.5 in n 1.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.398 * [taylor]: Taking taylor expansion of 1.0 in n 1.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.398 * [taylor]: Taking taylor expansion of k in n 1.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.398 * [taylor]: Taking taylor expansion of 2.0 in n 1.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.398 * [taylor]: Taking taylor expansion of PI in n 1.398 * [taylor]: Taking taylor expansion of n in n 1.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.402 * [taylor]: Taking taylor expansion of 0.5 in n 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.402 * [taylor]: Taking taylor expansion of 1.0 in n 1.402 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.402 * [taylor]: Taking taylor expansion of k in n 1.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.402 * [taylor]: Taking taylor expansion of 2.0 in n 1.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.402 * [taylor]: Taking taylor expansion of PI in n 1.402 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.406 * [taylor]: Taking taylor expansion of 0.5 in k 1.406 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.406 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.406 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.406 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.406 * [taylor]: Taking taylor expansion of 2.0 in k 1.406 * [taylor]: Taking taylor expansion of PI in k 1.407 * [taylor]: Taking taylor expansion of (log n) in k 1.407 * [taylor]: Taking taylor expansion of n in k 1.407 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.423 * [taylor]: Taking taylor expansion of 0 in k 1.431 * [taylor]: Taking taylor expansion of 0 in k 1.440 * [taylor]: Taking taylor expansion of 0 in k 1.441 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.441 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.442 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.442 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.442 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.442 * [taylor]: Taking taylor expansion of 0.5 in k 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.442 * [taylor]: Taking taylor expansion of k in k 1.442 * [taylor]: Taking taylor expansion of 1.0 in k 1.442 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.442 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.442 * [taylor]: Taking taylor expansion of -2.0 in k 1.442 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.442 * [taylor]: Taking taylor expansion of PI in k 1.442 * [taylor]: Taking taylor expansion of n in k 1.443 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.443 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.443 * [taylor]: Taking taylor expansion of 0.5 in n 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.443 * [taylor]: Taking taylor expansion of k in n 1.443 * [taylor]: Taking taylor expansion of 1.0 in n 1.443 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.443 * [taylor]: Taking taylor expansion of -2.0 in n 1.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.443 * [taylor]: Taking taylor expansion of PI in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.447 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.447 * [taylor]: Taking taylor expansion of 0.5 in n 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.447 * [taylor]: Taking taylor expansion of k in n 1.447 * [taylor]: Taking taylor expansion of 1.0 in n 1.447 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.447 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.447 * [taylor]: Taking taylor expansion of -2.0 in n 1.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.447 * [taylor]: Taking taylor expansion of PI in n 1.447 * [taylor]: Taking taylor expansion of n in n 1.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.451 * [taylor]: Taking taylor expansion of 0.5 in k 1.451 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.451 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.451 * [taylor]: Taking taylor expansion of k in k 1.451 * [taylor]: Taking taylor expansion of 1.0 in k 1.451 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.451 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.451 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.451 * [taylor]: Taking taylor expansion of -2.0 in k 1.451 * [taylor]: Taking taylor expansion of PI in k 1.452 * [taylor]: Taking taylor expansion of (log n) in k 1.452 * [taylor]: Taking taylor expansion of n in k 1.462 * [taylor]: Taking taylor expansion of 0 in k 1.469 * [taylor]: Taking taylor expansion of 0 in k 1.478 * [taylor]: Taking taylor expansion of 0 in k 1.478 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2) 1.479 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.479 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.479 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.479 * [taylor]: Taking taylor expansion of 0.5 in k 1.479 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.479 * [taylor]: Taking taylor expansion of 1.0 in k 1.479 * [taylor]: Taking taylor expansion of k in k 1.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.479 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.479 * [taylor]: Taking taylor expansion of 2.0 in k 1.479 * [taylor]: Taking taylor expansion of (* n PI) in k 1.479 * [taylor]: Taking taylor expansion of n in k 1.479 * [taylor]: Taking taylor expansion of PI in k 1.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.480 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.480 * [taylor]: Taking taylor expansion of 0.5 in n 1.480 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of k in n 1.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.480 * [taylor]: Taking taylor expansion of 2.0 in n 1.480 * [taylor]: Taking taylor expansion of (* n PI) in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.480 * [taylor]: Taking taylor expansion of PI in n 1.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.486 * [taylor]: Taking taylor expansion of 0.5 in n 1.486 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.486 * [taylor]: Taking taylor expansion of 1.0 in n 1.486 * [taylor]: Taking taylor expansion of k in n 1.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.486 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.486 * [taylor]: Taking taylor expansion of 2.0 in n 1.486 * [taylor]: Taking taylor expansion of (* n PI) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.486 * [taylor]: Taking taylor expansion of PI in n 1.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.491 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.491 * [taylor]: Taking taylor expansion of 0.5 in k 1.491 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.492 * [taylor]: Taking taylor expansion of k in k 1.492 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.492 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.492 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.492 * [taylor]: Taking taylor expansion of 2.0 in k 1.492 * [taylor]: Taking taylor expansion of PI in k 1.493 * [taylor]: Taking taylor expansion of (log n) in k 1.493 * [taylor]: Taking taylor expansion of n in k 1.509 * [taylor]: Taking taylor expansion of 0 in k 1.525 * [taylor]: Taking taylor expansion of 0 in k 1.544 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.544 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.544 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.544 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.544 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.544 * [taylor]: Taking taylor expansion of 0.5 in k 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.544 * [taylor]: Taking taylor expansion of 1.0 in k 1.544 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.544 * [taylor]: Taking taylor expansion of k in k 1.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.544 * [taylor]: Taking taylor expansion of 2.0 in k 1.544 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.544 * [taylor]: Taking taylor expansion of PI in k 1.544 * [taylor]: Taking taylor expansion of n in k 1.545 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.545 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.545 * [taylor]: Taking taylor expansion of 0.5 in n 1.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.545 * [taylor]: Taking taylor expansion of 1.0 in n 1.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.545 * [taylor]: Taking taylor expansion of k in n 1.546 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.546 * [taylor]: Taking taylor expansion of 2.0 in n 1.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.546 * [taylor]: Taking taylor expansion of PI in n 1.546 * [taylor]: Taking taylor expansion of n in n 1.549 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.549 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.549 * [taylor]: Taking taylor expansion of 0.5 in n 1.549 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.549 * [taylor]: Taking taylor expansion of 1.0 in n 1.549 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.549 * [taylor]: Taking taylor expansion of k in n 1.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.550 * [taylor]: Taking taylor expansion of 2.0 in n 1.550 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.550 * [taylor]: Taking taylor expansion of PI in n 1.550 * [taylor]: Taking taylor expansion of n in n 1.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.553 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.553 * [taylor]: Taking taylor expansion of 0.5 in k 1.553 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.553 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.553 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.553 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.553 * [taylor]: Taking taylor expansion of 2.0 in k 1.553 * [taylor]: Taking taylor expansion of PI in k 1.554 * [taylor]: Taking taylor expansion of (log n) in k 1.554 * [taylor]: Taking taylor expansion of n in k 1.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.554 * [taylor]: Taking taylor expansion of 1.0 in k 1.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.555 * [taylor]: Taking taylor expansion of k in k 1.564 * [taylor]: Taking taylor expansion of 0 in k 1.572 * [taylor]: Taking taylor expansion of 0 in k 1.581 * [taylor]: Taking taylor expansion of 0 in k 1.582 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.582 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.582 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.582 * [taylor]: Taking taylor expansion of 0.5 in k 1.582 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.583 * [taylor]: Taking taylor expansion of k in k 1.583 * [taylor]: Taking taylor expansion of 1.0 in k 1.583 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.583 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.583 * [taylor]: Taking taylor expansion of -2.0 in k 1.583 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.583 * [taylor]: Taking taylor expansion of PI in k 1.583 * [taylor]: Taking taylor expansion of n in k 1.584 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.584 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.584 * [taylor]: Taking taylor expansion of 0.5 in n 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.584 * [taylor]: Taking taylor expansion of k in n 1.584 * [taylor]: Taking taylor expansion of 1.0 in n 1.584 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.584 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.584 * [taylor]: Taking taylor expansion of -2.0 in n 1.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.584 * [taylor]: Taking taylor expansion of PI in n 1.584 * [taylor]: Taking taylor expansion of n in n 1.588 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.588 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.588 * [taylor]: Taking taylor expansion of 0.5 in n 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.588 * [taylor]: Taking taylor expansion of k in n 1.588 * [taylor]: Taking taylor expansion of 1.0 in n 1.588 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.588 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.588 * [taylor]: Taking taylor expansion of -2.0 in n 1.588 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.588 * [taylor]: Taking taylor expansion of PI in n 1.588 * [taylor]: Taking taylor expansion of n in n 1.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.598 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.598 * [taylor]: Taking taylor expansion of 0.5 in k 1.598 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.598 * [taylor]: Taking taylor expansion of 1.0 in k 1.598 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.598 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.598 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.598 * [taylor]: Taking taylor expansion of -2.0 in k 1.598 * [taylor]: Taking taylor expansion of PI in k 1.599 * [taylor]: Taking taylor expansion of (log n) in k 1.599 * [taylor]: Taking taylor expansion of n in k 1.608 * [taylor]: Taking taylor expansion of 0 in k 1.615 * [taylor]: Taking taylor expansion of 0 in k 1.624 * [taylor]: Taking taylor expansion of 0 in k 1.625 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 1.625 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.625 * [taylor]: Taking taylor expansion of 1.0 in k 1.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.626 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.626 * [taylor]: Taking taylor expansion of k in k 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.627 * [taylor]: Taking taylor expansion of 1.0 in k 1.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.627 * [taylor]: Taking taylor expansion of k in k 1.639 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.639 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.639 * [taylor]: Taking taylor expansion of 1.0 in k 1.639 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.639 * [taylor]: Taking taylor expansion of k in k 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.640 * [taylor]: Taking taylor expansion of 1.0 in k 1.640 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.640 * [taylor]: Taking taylor expansion of k in k 1.651 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.651 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.651 * [taylor]: Taking taylor expansion of 1.0 in k 1.651 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.651 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.651 * [taylor]: Taking taylor expansion of -1 in k 1.651 * [taylor]: Taking taylor expansion of k in k 1.652 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.652 * [taylor]: Taking taylor expansion of 1.0 in k 1.652 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.652 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.652 * [taylor]: Taking taylor expansion of -1 in k 1.652 * [taylor]: Taking taylor expansion of k in k 1.664 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.665 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.665 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.665 * [taylor]: Taking taylor expansion of 1.0 in k 1.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.665 * [taylor]: Taking taylor expansion of k in k 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.666 * [taylor]: Taking taylor expansion of 1.0 in k 1.666 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.666 * [taylor]: Taking taylor expansion of k in k 1.683 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.683 * [taylor]: Taking taylor expansion of 1.0 in k 1.683 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.683 * [taylor]: Taking taylor expansion of k in k 1.684 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.684 * [taylor]: Taking taylor expansion of 1.0 in k 1.684 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.684 * [taylor]: Taking taylor expansion of k in k 1.695 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.695 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.695 * [taylor]: Taking taylor expansion of 1.0 in k 1.695 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.695 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.695 * [taylor]: Taking taylor expansion of -1 in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.697 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.697 * [taylor]: Taking taylor expansion of 1.0 in k 1.697 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.697 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.697 * [taylor]: Taking taylor expansion of -1 in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.709 * * * [progress]: simplifying candidates 1.711 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 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) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 1.718 * * [simplify]: iteration 0 : 488 enodes (cost 1138 ) 1.726 * * [simplify]: iteration 1 : 1708 enodes (cost 1070 ) 1.755 * * [simplify]: iteration 2 : 5001 enodes (cost 1042 ) 1.760 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 1.761 * * * [progress]: adding candidates to table 2.299 * * [progress]: iteration 3 / 4 2.299 * * * [progress]: picking best candidate 2.328 * * * * [pick]: Picked # 2.328 * * * [progress]: localizing error 2.351 * * * [progress]: generating rewritten candidates 2.351 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 2.360 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2) 2.373 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 1) 2.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 2.404 * * * [progress]: generating series expansions 2.404 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 2.405 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.405 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.405 * [taylor]: Taking taylor expansion of 0.5 in k 2.405 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.405 * [taylor]: Taking taylor expansion of 1.0 in k 2.405 * [taylor]: Taking taylor expansion of k in k 2.405 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.405 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.405 * [taylor]: Taking taylor expansion of 2.0 in k 2.405 * [taylor]: Taking taylor expansion of (* n PI) in k 2.405 * [taylor]: Taking taylor expansion of n in k 2.405 * [taylor]: Taking taylor expansion of PI in k 2.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.406 * [taylor]: Taking taylor expansion of 0.5 in n 2.406 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.406 * [taylor]: Taking taylor expansion of 1.0 in n 2.406 * [taylor]: Taking taylor expansion of k in n 2.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.406 * [taylor]: Taking taylor expansion of 2.0 in n 2.406 * [taylor]: Taking taylor expansion of (* n PI) in n 2.406 * [taylor]: Taking taylor expansion of n in n 2.406 * [taylor]: Taking taylor expansion of PI in n 2.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.412 * [taylor]: Taking taylor expansion of 0.5 in n 2.412 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.412 * [taylor]: Taking taylor expansion of 1.0 in n 2.412 * [taylor]: Taking taylor expansion of k in n 2.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.412 * [taylor]: Taking taylor expansion of 2.0 in n 2.412 * [taylor]: Taking taylor expansion of (* n PI) in n 2.412 * [taylor]: Taking taylor expansion of n in n 2.412 * [taylor]: Taking taylor expansion of PI in n 2.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.418 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.418 * [taylor]: Taking taylor expansion of 0.5 in k 2.418 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.418 * [taylor]: Taking taylor expansion of 1.0 in k 2.418 * [taylor]: Taking taylor expansion of k in k 2.418 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.418 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.418 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.418 * [taylor]: Taking taylor expansion of 2.0 in k 2.418 * [taylor]: Taking taylor expansion of PI in k 2.419 * [taylor]: Taking taylor expansion of (log n) in k 2.419 * [taylor]: Taking taylor expansion of n in k 2.428 * [taylor]: Taking taylor expansion of 0 in k 2.444 * [taylor]: Taking taylor expansion of 0 in k 2.465 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.465 * [taylor]: Taking taylor expansion of 0.5 in k 2.465 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.465 * [taylor]: Taking taylor expansion of 1.0 in k 2.465 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.465 * [taylor]: Taking taylor expansion of k in k 2.465 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.465 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.465 * [taylor]: Taking taylor expansion of 2.0 in k 2.465 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.465 * [taylor]: Taking taylor expansion of PI in k 2.465 * [taylor]: Taking taylor expansion of n in k 2.466 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.467 * [taylor]: Taking taylor expansion of 0.5 in n 2.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.467 * [taylor]: Taking taylor expansion of 1.0 in n 2.467 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.467 * [taylor]: Taking taylor expansion of k in n 2.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.467 * [taylor]: Taking taylor expansion of 2.0 in n 2.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.467 * [taylor]: Taking taylor expansion of PI in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.471 * [taylor]: Taking taylor expansion of 0.5 in n 2.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.471 * [taylor]: Taking taylor expansion of 1.0 in n 2.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.471 * [taylor]: Taking taylor expansion of k in n 2.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.471 * [taylor]: Taking taylor expansion of 2.0 in n 2.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.471 * [taylor]: Taking taylor expansion of PI in n 2.471 * [taylor]: Taking taylor expansion of n in n 2.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.482 * [taylor]: Taking taylor expansion of 0.5 in k 2.482 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.482 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.482 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.482 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.482 * [taylor]: Taking taylor expansion of 2.0 in k 2.482 * [taylor]: Taking taylor expansion of PI in k 2.483 * [taylor]: Taking taylor expansion of (log n) in k 2.483 * [taylor]: Taking taylor expansion of n in k 2.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.483 * [taylor]: Taking taylor expansion of 1.0 in k 2.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.483 * [taylor]: Taking taylor expansion of k in k 2.493 * [taylor]: Taking taylor expansion of 0 in k 2.500 * [taylor]: Taking taylor expansion of 0 in k 2.509 * [taylor]: Taking taylor expansion of 0 in k 2.510 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.510 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.511 * [taylor]: Taking taylor expansion of 0.5 in k 2.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.511 * [taylor]: Taking taylor expansion of k in k 2.511 * [taylor]: Taking taylor expansion of 1.0 in k 2.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.511 * [taylor]: Taking taylor expansion of -2.0 in k 2.511 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.511 * [taylor]: Taking taylor expansion of PI in k 2.511 * [taylor]: Taking taylor expansion of n in k 2.512 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.512 * [taylor]: Taking taylor expansion of 0.5 in n 2.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.512 * [taylor]: Taking taylor expansion of k in n 2.512 * [taylor]: Taking taylor expansion of 1.0 in n 2.512 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.512 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.512 * [taylor]: Taking taylor expansion of -2.0 in n 2.512 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.512 * [taylor]: Taking taylor expansion of PI in n 2.512 * [taylor]: Taking taylor expansion of n in n 2.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.516 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.516 * [taylor]: Taking taylor expansion of 0.5 in n 2.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.516 * [taylor]: Taking taylor expansion of k in n 2.516 * [taylor]: Taking taylor expansion of 1.0 in n 2.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.516 * [taylor]: Taking taylor expansion of -2.0 in n 2.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.520 * [taylor]: Taking taylor expansion of 0.5 in k 2.520 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.520 * [taylor]: Taking taylor expansion of k in k 2.520 * [taylor]: Taking taylor expansion of 1.0 in k 2.520 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.520 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.520 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.520 * [taylor]: Taking taylor expansion of -2.0 in k 2.520 * [taylor]: Taking taylor expansion of PI in k 2.521 * [taylor]: Taking taylor expansion of (log n) in k 2.521 * [taylor]: Taking taylor expansion of n in k 2.531 * [taylor]: Taking taylor expansion of 0 in k 2.538 * [taylor]: Taking taylor expansion of 0 in k 2.547 * [taylor]: Taking taylor expansion of 0 in k 2.548 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2) 2.548 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.548 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.548 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.548 * [taylor]: Taking taylor expansion of 0.25 in k 2.548 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.548 * [taylor]: Taking taylor expansion of 1.0 in k 2.548 * [taylor]: Taking taylor expansion of k in k 2.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.548 * [taylor]: Taking taylor expansion of 2.0 in k 2.548 * [taylor]: Taking taylor expansion of (* n PI) in k 2.548 * [taylor]: Taking taylor expansion of n in k 2.548 * [taylor]: Taking taylor expansion of PI in k 2.549 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.549 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.549 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.549 * [taylor]: Taking taylor expansion of 0.25 in n 2.549 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.549 * [taylor]: Taking taylor expansion of 1.0 in n 2.549 * [taylor]: Taking taylor expansion of k in n 2.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.549 * [taylor]: Taking taylor expansion of 2.0 in n 2.549 * [taylor]: Taking taylor expansion of (* n PI) in n 2.549 * [taylor]: Taking taylor expansion of n in n 2.550 * [taylor]: Taking taylor expansion of PI in n 2.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.555 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.555 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.555 * [taylor]: Taking taylor expansion of 0.25 in n 2.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.555 * [taylor]: Taking taylor expansion of 1.0 in n 2.555 * [taylor]: Taking taylor expansion of k in n 2.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.555 * [taylor]: Taking taylor expansion of 2.0 in n 2.555 * [taylor]: Taking taylor expansion of (* n PI) in n 2.555 * [taylor]: Taking taylor expansion of n in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.561 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.561 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.561 * [taylor]: Taking taylor expansion of 0.25 in k 2.561 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.561 * [taylor]: Taking taylor expansion of 1.0 in k 2.561 * [taylor]: Taking taylor expansion of k in k 2.561 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.561 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.561 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.561 * [taylor]: Taking taylor expansion of 2.0 in k 2.561 * [taylor]: Taking taylor expansion of PI in k 2.568 * [taylor]: Taking taylor expansion of (log n) in k 2.568 * [taylor]: Taking taylor expansion of n in k 2.577 * [taylor]: Taking taylor expansion of 0 in k 2.594 * [taylor]: Taking taylor expansion of 0 in k 2.612 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.613 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.613 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.613 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.613 * [taylor]: Taking taylor expansion of 0.25 in k 2.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.613 * [taylor]: Taking taylor expansion of 1.0 in k 2.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.613 * [taylor]: Taking taylor expansion of k in k 2.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.613 * [taylor]: Taking taylor expansion of 2.0 in k 2.613 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.613 * [taylor]: Taking taylor expansion of PI in k 2.613 * [taylor]: Taking taylor expansion of n in k 2.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.614 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.614 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.614 * [taylor]: Taking taylor expansion of 0.25 in n 2.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.614 * [taylor]: Taking taylor expansion of 1.0 in n 2.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.614 * [taylor]: Taking taylor expansion of k in n 2.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.614 * [taylor]: Taking taylor expansion of 2.0 in n 2.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.614 * [taylor]: Taking taylor expansion of PI in n 2.614 * [taylor]: Taking taylor expansion of n in n 2.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.618 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.618 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.618 * [taylor]: Taking taylor expansion of 0.25 in n 2.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.618 * [taylor]: Taking taylor expansion of 1.0 in n 2.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.618 * [taylor]: Taking taylor expansion of k in n 2.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.618 * [taylor]: Taking taylor expansion of 2.0 in n 2.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.618 * [taylor]: Taking taylor expansion of PI in n 2.618 * [taylor]: Taking taylor expansion of n in n 2.622 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.622 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.622 * [taylor]: Taking taylor expansion of 0.25 in k 2.622 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.622 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.622 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.622 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.622 * [taylor]: Taking taylor expansion of 2.0 in k 2.622 * [taylor]: Taking taylor expansion of PI in k 2.623 * [taylor]: Taking taylor expansion of (log n) in k 2.623 * [taylor]: Taking taylor expansion of n in k 2.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.623 * [taylor]: Taking taylor expansion of 1.0 in k 2.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.623 * [taylor]: Taking taylor expansion of k in k 2.633 * [taylor]: Taking taylor expansion of 0 in k 2.640 * [taylor]: Taking taylor expansion of 0 in k 2.656 * [taylor]: Taking taylor expansion of 0 in k 2.657 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 2.657 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.657 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.657 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.657 * [taylor]: Taking taylor expansion of 0.25 in k 2.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.657 * [taylor]: Taking taylor expansion of k in k 2.658 * [taylor]: Taking taylor expansion of 1.0 in k 2.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.658 * [taylor]: Taking taylor expansion of -2.0 in k 2.658 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.658 * [taylor]: Taking taylor expansion of PI in k 2.658 * [taylor]: Taking taylor expansion of n in k 2.659 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.659 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.659 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.659 * [taylor]: Taking taylor expansion of 0.25 in n 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.659 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.659 * [taylor]: Taking taylor expansion of k in n 2.659 * [taylor]: Taking taylor expansion of 1.0 in n 2.659 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.659 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.659 * [taylor]: Taking taylor expansion of -2.0 in n 2.659 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.659 * [taylor]: Taking taylor expansion of PI in n 2.659 * [taylor]: Taking taylor expansion of n in n 2.662 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.663 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.663 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.663 * [taylor]: Taking taylor expansion of 0.25 in n 2.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.663 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.663 * [taylor]: Taking taylor expansion of k in n 2.663 * [taylor]: Taking taylor expansion of 1.0 in n 2.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.663 * [taylor]: Taking taylor expansion of -2.0 in n 2.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.663 * [taylor]: Taking taylor expansion of PI in n 2.663 * [taylor]: Taking taylor expansion of n in n 2.667 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.667 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.667 * [taylor]: Taking taylor expansion of 0.25 in k 2.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.667 * [taylor]: Taking taylor expansion of k in k 2.667 * [taylor]: Taking taylor expansion of 1.0 in k 2.667 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.667 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.667 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.667 * [taylor]: Taking taylor expansion of -2.0 in k 2.667 * [taylor]: Taking taylor expansion of PI in k 2.668 * [taylor]: Taking taylor expansion of (log n) in k 2.668 * [taylor]: Taking taylor expansion of n in k 2.677 * [taylor]: Taking taylor expansion of 0 in k 2.684 * [taylor]: Taking taylor expansion of 0 in k 2.693 * [taylor]: Taking taylor expansion of 0 in k 2.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 1) 2.695 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.695 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.695 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.695 * [taylor]: Taking taylor expansion of 0.25 in k 2.695 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.695 * [taylor]: Taking taylor expansion of 1.0 in k 2.695 * [taylor]: Taking taylor expansion of k in k 2.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.695 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.695 * [taylor]: Taking taylor expansion of 2.0 in k 2.695 * [taylor]: Taking taylor expansion of (* n PI) in k 2.695 * [taylor]: Taking taylor expansion of n in k 2.695 * [taylor]: Taking taylor expansion of PI in k 2.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.696 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.696 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.696 * [taylor]: Taking taylor expansion of 0.25 in n 2.696 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [taylor]: Taking taylor expansion of k in n 2.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.696 * [taylor]: Taking taylor expansion of 2.0 in n 2.696 * [taylor]: Taking taylor expansion of (* n PI) in n 2.696 * [taylor]: Taking taylor expansion of n in n 2.696 * [taylor]: Taking taylor expansion of PI in n 2.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.702 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.702 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.702 * [taylor]: Taking taylor expansion of 0.25 in n 2.702 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.702 * [taylor]: Taking taylor expansion of 1.0 in n 2.702 * [taylor]: Taking taylor expansion of k in n 2.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.702 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.702 * [taylor]: Taking taylor expansion of 2.0 in n 2.702 * [taylor]: Taking taylor expansion of (* n PI) in n 2.702 * [taylor]: Taking taylor expansion of n in n 2.702 * [taylor]: Taking taylor expansion of PI in n 2.707 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.707 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.707 * [taylor]: Taking taylor expansion of 0.25 in k 2.707 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.707 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.707 * [taylor]: Taking taylor expansion of 1.0 in k 2.707 * [taylor]: Taking taylor expansion of k in k 2.707 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.707 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.707 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.707 * [taylor]: Taking taylor expansion of 2.0 in k 2.707 * [taylor]: Taking taylor expansion of PI in k 2.708 * [taylor]: Taking taylor expansion of (log n) in k 2.708 * [taylor]: Taking taylor expansion of n in k 2.718 * [taylor]: Taking taylor expansion of 0 in k 2.734 * [taylor]: Taking taylor expansion of 0 in k 2.759 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.759 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.759 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.759 * [taylor]: Taking taylor expansion of 0.25 in k 2.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.759 * [taylor]: Taking taylor expansion of 1.0 in k 2.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.759 * [taylor]: Taking taylor expansion of k in k 2.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.759 * [taylor]: Taking taylor expansion of 2.0 in k 2.759 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.759 * [taylor]: Taking taylor expansion of PI in k 2.759 * [taylor]: Taking taylor expansion of n in k 2.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.760 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.761 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.761 * [taylor]: Taking taylor expansion of 0.25 in n 2.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.761 * [taylor]: Taking taylor expansion of 1.0 in n 2.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.761 * [taylor]: Taking taylor expansion of k in n 2.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.761 * [taylor]: Taking taylor expansion of 2.0 in n 2.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.761 * [taylor]: Taking taylor expansion of PI in n 2.761 * [taylor]: Taking taylor expansion of n in n 2.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.764 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.765 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.765 * [taylor]: Taking taylor expansion of 0.25 in n 2.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.765 * [taylor]: Taking taylor expansion of 1.0 in n 2.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.765 * [taylor]: Taking taylor expansion of k in n 2.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.765 * [taylor]: Taking taylor expansion of 2.0 in n 2.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.765 * [taylor]: Taking taylor expansion of PI in n 2.765 * [taylor]: Taking taylor expansion of n in n 2.768 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.769 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.769 * [taylor]: Taking taylor expansion of 0.25 in k 2.769 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.769 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.769 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.769 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.769 * [taylor]: Taking taylor expansion of 2.0 in k 2.769 * [taylor]: Taking taylor expansion of PI in k 2.770 * [taylor]: Taking taylor expansion of (log n) in k 2.770 * [taylor]: Taking taylor expansion of n in k 2.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.770 * [taylor]: Taking taylor expansion of 1.0 in k 2.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.770 * [taylor]: Taking taylor expansion of k in k 2.780 * [taylor]: Taking taylor expansion of 0 in k 2.787 * [taylor]: Taking taylor expansion of 0 in k 2.796 * [taylor]: Taking taylor expansion of 0 in k 2.798 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 2.798 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.798 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.798 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.798 * [taylor]: Taking taylor expansion of 0.25 in k 2.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.798 * [taylor]: Taking taylor expansion of k in k 2.798 * [taylor]: Taking taylor expansion of 1.0 in k 2.798 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.798 * [taylor]: Taking taylor expansion of -2.0 in k 2.798 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.798 * [taylor]: Taking taylor expansion of PI in k 2.798 * [taylor]: Taking taylor expansion of n in k 2.799 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.799 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.799 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.799 * [taylor]: Taking taylor expansion of 0.25 in n 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.799 * [taylor]: Taking taylor expansion of k in n 2.799 * [taylor]: Taking taylor expansion of 1.0 in n 2.799 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.799 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.799 * [taylor]: Taking taylor expansion of -2.0 in n 2.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.799 * [taylor]: Taking taylor expansion of PI in n 2.799 * [taylor]: Taking taylor expansion of n in n 2.803 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.803 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.803 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.803 * [taylor]: Taking taylor expansion of 0.25 in n 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.803 * [taylor]: Taking taylor expansion of k in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.803 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.803 * [taylor]: Taking taylor expansion of -2.0 in n 2.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.803 * [taylor]: Taking taylor expansion of PI in n 2.803 * [taylor]: Taking taylor expansion of n in n 2.807 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.807 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.807 * [taylor]: Taking taylor expansion of 0.25 in k 2.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.808 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.808 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.808 * [taylor]: Taking taylor expansion of -2.0 in k 2.808 * [taylor]: Taking taylor expansion of PI in k 2.809 * [taylor]: Taking taylor expansion of (log n) in k 2.809 * [taylor]: Taking taylor expansion of n in k 2.818 * [taylor]: Taking taylor expansion of 0 in k 2.825 * [taylor]: Taking taylor expansion of 0 in k 2.840 * [taylor]: Taking taylor expansion of 0 in k 2.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 2.841 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.841 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.841 * [taylor]: Taking taylor expansion of 1.0 in k 2.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.841 * [taylor]: Taking taylor expansion of k in k 2.843 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.843 * [taylor]: Taking taylor expansion of 1.0 in k 2.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.843 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.843 * [taylor]: Taking taylor expansion of k in k 2.854 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.854 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.854 * [taylor]: Taking taylor expansion of 1.0 in k 2.854 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.854 * [taylor]: Taking taylor expansion of k in k 2.855 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.855 * [taylor]: Taking taylor expansion of 1.0 in k 2.855 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.855 * [taylor]: Taking taylor expansion of k in k 2.866 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.866 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.866 * [taylor]: Taking taylor expansion of 1.0 in k 2.866 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.866 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.866 * [taylor]: Taking taylor expansion of -1 in k 2.866 * [taylor]: Taking taylor expansion of k in k 2.867 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.867 * [taylor]: Taking taylor expansion of 1.0 in k 2.867 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.867 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.867 * [taylor]: Taking taylor expansion of -1 in k 2.867 * [taylor]: Taking taylor expansion of k in k 2.879 * * * [progress]: simplifying candidates 2.883 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 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2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 2.965 * * * [progress]: adding candidates to table 3.987 * * [progress]: iteration 4 / 4 3.987 * * * [progress]: picking best candidate 4.013 * * * * [pick]: Picked # 4.013 * * * [progress]: localizing error 4.028 * * * [progress]: generating rewritten candidates 4.028 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 4.037 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 4.071 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.088 * * * [progress]: generating series expansions 4.088 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 4.089 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.089 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.089 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.089 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.089 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.089 * [taylor]: Taking taylor expansion of 0.5 in k 4.089 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.089 * [taylor]: Taking taylor expansion of 1.0 in k 4.089 * [taylor]: Taking taylor expansion of k in k 4.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.089 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.089 * [taylor]: Taking taylor expansion of 2.0 in k 4.089 * [taylor]: Taking taylor expansion of (* n PI) in k 4.089 * [taylor]: Taking taylor expansion of n in k 4.089 * [taylor]: Taking taylor expansion of PI in k 4.090 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.090 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.090 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.090 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.090 * [taylor]: Taking taylor expansion of 0.5 in n 4.090 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.090 * [taylor]: Taking taylor expansion of 1.0 in n 4.090 * [taylor]: Taking taylor expansion of k in n 4.090 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.090 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.090 * [taylor]: Taking taylor expansion of 2.0 in n 4.090 * [taylor]: Taking taylor expansion of (* n PI) in n 4.090 * [taylor]: Taking taylor expansion of n in n 4.090 * [taylor]: Taking taylor expansion of PI in n 4.096 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.096 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.096 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.096 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.096 * [taylor]: Taking taylor expansion of 0.5 in n 4.096 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.096 * [taylor]: Taking taylor expansion of 1.0 in n 4.096 * [taylor]: Taking taylor expansion of k in n 4.096 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.096 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.096 * [taylor]: Taking taylor expansion of 2.0 in n 4.096 * [taylor]: Taking taylor expansion of (* n PI) in n 4.096 * [taylor]: Taking taylor expansion of n in n 4.096 * [taylor]: Taking taylor expansion of PI in n 4.102 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.102 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.102 * [taylor]: Taking taylor expansion of 0.5 in k 4.102 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.102 * [taylor]: Taking taylor expansion of 1.0 in k 4.102 * [taylor]: Taking taylor expansion of k in k 4.102 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.102 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.102 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.102 * [taylor]: Taking taylor expansion of 2.0 in k 4.102 * [taylor]: Taking taylor expansion of PI in k 4.103 * [taylor]: Taking taylor expansion of (log n) in k 4.103 * [taylor]: Taking taylor expansion of n in k 4.112 * [taylor]: Taking taylor expansion of 0 in k 4.128 * [taylor]: Taking taylor expansion of 0 in k 4.147 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.147 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.147 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.147 * [taylor]: Taking taylor expansion of 0.5 in k 4.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.147 * [taylor]: Taking taylor expansion of 1.0 in k 4.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.147 * [taylor]: Taking taylor expansion of k in k 4.148 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.148 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.148 * [taylor]: Taking taylor expansion of 2.0 in k 4.148 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.148 * [taylor]: Taking taylor expansion of PI in k 4.148 * [taylor]: Taking taylor expansion of n in k 4.149 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.149 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.149 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.149 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.149 * [taylor]: Taking taylor expansion of 0.5 in n 4.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.149 * [taylor]: Taking taylor expansion of 1.0 in n 4.149 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.149 * [taylor]: Taking taylor expansion of k in n 4.149 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.149 * [taylor]: Taking taylor expansion of 2.0 in n 4.149 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.149 * [taylor]: Taking taylor expansion of PI in n 4.149 * [taylor]: Taking taylor expansion of n in n 4.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.153 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.153 * [taylor]: Taking taylor expansion of 0.5 in n 4.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.153 * [taylor]: Taking taylor expansion of 1.0 in n 4.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.153 * [taylor]: Taking taylor expansion of k in n 4.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.153 * [taylor]: Taking taylor expansion of 2.0 in n 4.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.153 * [taylor]: Taking taylor expansion of PI in n 4.153 * [taylor]: Taking taylor expansion of n in n 4.157 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.157 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.157 * [taylor]: Taking taylor expansion of 0.5 in k 4.157 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.157 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.157 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.157 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.157 * [taylor]: Taking taylor expansion of 2.0 in k 4.157 * [taylor]: Taking taylor expansion of PI in k 4.158 * [taylor]: Taking taylor expansion of (log n) in k 4.158 * [taylor]: Taking taylor expansion of n in k 4.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.158 * [taylor]: Taking taylor expansion of 1.0 in k 4.158 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.158 * [taylor]: Taking taylor expansion of k in k 4.174 * [taylor]: Taking taylor expansion of 0 in k 4.181 * [taylor]: Taking taylor expansion of 0 in k 4.190 * [taylor]: Taking taylor expansion of 0 in k 4.191 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.191 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.191 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.191 * [taylor]: Taking taylor expansion of 0.5 in k 4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.192 * [taylor]: Taking taylor expansion of k in k 4.192 * [taylor]: Taking taylor expansion of 1.0 in k 4.192 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.192 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.192 * [taylor]: Taking taylor expansion of -2.0 in k 4.192 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.192 * [taylor]: Taking taylor expansion of PI in k 4.192 * [taylor]: Taking taylor expansion of n in k 4.193 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.193 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.193 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.193 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.193 * [taylor]: Taking taylor expansion of 0.5 in n 4.193 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.193 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.193 * [taylor]: Taking taylor expansion of k in n 4.193 * [taylor]: Taking taylor expansion of 1.0 in n 4.193 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.193 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.193 * [taylor]: Taking taylor expansion of -2.0 in n 4.193 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.193 * [taylor]: Taking taylor expansion of PI in n 4.193 * [taylor]: Taking taylor expansion of n in n 4.197 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.197 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.197 * [taylor]: Taking taylor expansion of 0.5 in n 4.197 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.197 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.197 * [taylor]: Taking taylor expansion of k in n 4.197 * [taylor]: Taking taylor expansion of 1.0 in n 4.197 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.197 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.197 * [taylor]: Taking taylor expansion of -2.0 in n 4.197 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.197 * [taylor]: Taking taylor expansion of PI in n 4.197 * [taylor]: Taking taylor expansion of n in n 4.201 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.201 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.201 * [taylor]: Taking taylor expansion of 0.5 in k 4.201 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.201 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.201 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.201 * [taylor]: Taking taylor expansion of k in k 4.201 * [taylor]: Taking taylor expansion of 1.0 in k 4.201 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.201 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.201 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.201 * [taylor]: Taking taylor expansion of -2.0 in k 4.201 * [taylor]: Taking taylor expansion of PI in k 4.202 * [taylor]: Taking taylor expansion of (log n) in k 4.202 * [taylor]: Taking taylor expansion of n in k 4.211 * [taylor]: Taking taylor expansion of 0 in k 4.218 * [taylor]: Taking taylor expansion of 0 in k 4.227 * [taylor]: Taking taylor expansion of 0 in k 4.228 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.228 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in (k) around 0 4.229 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 4.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.229 * [taylor]: Taking taylor expansion of k in k 4.230 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.230 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.230 * [taylor]: Taking taylor expansion of 1.0 in k 4.231 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (sqrt 1.0) 2)) in k 4.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.231 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.231 * [taylor]: Taking taylor expansion of k in k 4.232 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.232 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.232 * [taylor]: Taking taylor expansion of 1.0 in k 4.266 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in (k) around 0 4.266 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 4.266 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.266 * [taylor]: Taking taylor expansion of k in k 4.267 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.267 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.267 * [taylor]: Taking taylor expansion of 1.0 in k 4.268 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (sqrt 1.0) 2)) in k 4.268 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.268 * [taylor]: Taking taylor expansion of k in k 4.269 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.269 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.269 * [taylor]: Taking taylor expansion of 1.0 in k 4.296 * [approximate]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in (k) around 0 4.296 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 4.296 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.296 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.296 * [taylor]: Taking taylor expansion of 1.0 in k 4.297 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.297 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.297 * [taylor]: Taking taylor expansion of -1 in k 4.297 * [taylor]: Taking taylor expansion of k in k 4.300 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (sqrt (/ -1 k))) in k 4.300 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.300 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.300 * [taylor]: Taking taylor expansion of 1.0 in k 4.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.301 * [taylor]: Taking taylor expansion of -1 in k 4.301 * [taylor]: Taking taylor expansion of k in k 4.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 4.328 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.328 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.328 * [taylor]: Taking taylor expansion of 1.0 in k 4.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.329 * [taylor]: Taking taylor expansion of k in k 4.330 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.330 * [taylor]: Taking taylor expansion of 1.0 in k 4.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.330 * [taylor]: Taking taylor expansion of k in k 4.348 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.348 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.348 * [taylor]: Taking taylor expansion of 1.0 in k 4.348 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.348 * [taylor]: Taking taylor expansion of k in k 4.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.349 * [taylor]: Taking taylor expansion of 1.0 in k 4.349 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.349 * [taylor]: Taking taylor expansion of k in k 4.359 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.360 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.360 * [taylor]: Taking taylor expansion of 1.0 in k 4.360 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.360 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.360 * [taylor]: Taking taylor expansion of -1 in k 4.360 * [taylor]: Taking taylor expansion of k in k 4.361 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.361 * [taylor]: Taking taylor expansion of 1.0 in k 4.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.361 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.361 * [taylor]: Taking taylor expansion of -1 in k 4.361 * [taylor]: Taking taylor expansion of k in k 4.373 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.373 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.373 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.373 * [taylor]: Taking taylor expansion of 1.0 in k 4.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.373 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.373 * [taylor]: Taking taylor expansion of k in k 4.374 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.374 * [taylor]: Taking taylor expansion of 1.0 in k 4.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.375 * [taylor]: Taking taylor expansion of k in k 4.386 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.386 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.386 * [taylor]: Taking taylor expansion of 1.0 in k 4.386 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.386 * [taylor]: Taking taylor expansion of k in k 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.387 * [taylor]: Taking taylor expansion of 1.0 in k 4.387 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.387 * [taylor]: Taking taylor expansion of k in k 4.397 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.397 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.398 * [taylor]: Taking taylor expansion of 1.0 in k 4.398 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.398 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.398 * [taylor]: Taking taylor expansion of -1 in k 4.398 * [taylor]: Taking taylor expansion of k in k 4.399 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.399 * [taylor]: Taking taylor expansion of 1.0 in k 4.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.399 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.399 * [taylor]: Taking taylor expansion of -1 in k 4.399 * [taylor]: Taking taylor expansion of k in k 4.411 * * * [progress]: simplifying candidates 4.415 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (+ 1 1) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (sqrt (/ 1.0 (sqrt k))))) (log (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))))) (cbrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (sqrt (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (sqrt k)) (sqrt (sqrt k))) (* (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k))))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (cbrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k)))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (cbrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ (cbrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (cbrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (cbrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt 1))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) 1)) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt k)))) (* (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (cbrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k))))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt 1))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (* (sqrt (/ 1 1)) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 1 1) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ 1.0 (sqrt k))) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (sqrt 1.0) 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (* (cbrt k) (cbrt k)))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt 1)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 (sqrt (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1 1))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (sqrt (/ 1.0 (sqrt k))))) (* (sqrt (/ 1.0 (sqrt k))) 1) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (cbrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt 1.0)) (* (sqrt 1.0) (sqrt (/ 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))) 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(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) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (* k (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow k 2) (pow (sqrt 1.0) 2)))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 3))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow k 2))) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) k))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 4.432 * * [simplify]: iteration 0 : 747 enodes (cost 1810 ) 4.446 * * [simplify]: iteration 1 : 3412 enodes (cost 1649 ) 4.506 * * [simplify]: iteration 2 : 5002 enodes (cost 1634 ) 4.514 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* 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k) (/ 1.0 (sqrt k)) (/ (* 1.0 1.0) k) 2 (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (/ (* 1.0 1.0) k) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) 1.0 (sqrt k) (pow (cbrt (sqrt (/ 1.0 (sqrt k)))) 4) (* (cbrt (sqrt (/ 1.0 (sqrt k)))) (cbrt (sqrt (/ 1.0 (sqrt k))))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) 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(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* +nan.0 (- (* 1.0 k) (* 1.0 (pow k 2)))) (* (- 1.0) +nan.0)) (- (/ (* (- 1.0) +nan.0) (pow k 3)) (- (/ (* (- 1.0) +nan.0) (pow k 2)) (/ (* (- 1.0) +nan.0) k))) (+ (* +nan.0 (+ 1.0 (/ (- 1.0) k))) (/ (* (- 1.0) +nan.0) (pow k 2))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 4.515 * * * [progress]: adding candidates to table 5.151 * [progress]: [Phase 3 of 3] Extracting. 5.151 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.154 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.154 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.193 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.232 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.266 * * * [regime]: Found split indices: #