16.389 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.149 * * * [progress]: [2/2] Setting up program. 0.152 * [progress]: [Phase 2 of 3] Improving. 0.152 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.154 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.156 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.157 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.160 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.165 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.188 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.188 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.188 * * [progress]: iteration 1 / 4 0.188 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.204 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.213 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.220 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.249 * * * [progress]: generating series expansions 0.249 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.250 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.250 * [taylor]: Taking taylor expansion of 0.5 in k 0.250 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.250 * [taylor]: Taking taylor expansion of 1.0 in k 0.250 * [taylor]: Taking taylor expansion of k in k 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.250 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.250 * [taylor]: Taking taylor expansion of 2.0 in k 0.250 * [taylor]: Taking taylor expansion of (* n PI) in k 0.250 * [taylor]: Taking taylor expansion of n in k 0.250 * [taylor]: Taking taylor expansion of PI in k 0.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.251 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.251 * [taylor]: Taking taylor expansion of 0.5 in n 0.251 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.251 * [taylor]: Taking taylor expansion of 1.0 in n 0.251 * [taylor]: Taking taylor expansion of k in n 0.251 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.251 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.251 * [taylor]: Taking taylor expansion of 2.0 in n 0.251 * [taylor]: Taking taylor expansion of (* n PI) in n 0.251 * [taylor]: Taking taylor expansion of n in n 0.251 * [taylor]: Taking taylor expansion of PI in n 0.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.257 * [taylor]: Taking taylor expansion of 0.5 in n 0.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.257 * [taylor]: Taking taylor expansion of 1.0 in n 0.257 * [taylor]: Taking taylor expansion of k in n 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.257 * [taylor]: Taking taylor expansion of 2.0 in n 0.257 * [taylor]: Taking taylor expansion of (* n PI) in n 0.257 * [taylor]: Taking taylor expansion of n in n 0.257 * [taylor]: Taking taylor expansion of PI in n 0.262 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.262 * [taylor]: Taking taylor expansion of 0.5 in k 0.262 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.262 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.262 * [taylor]: Taking taylor expansion of 1.0 in k 0.262 * [taylor]: Taking taylor expansion of k in k 0.262 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.262 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.262 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.262 * [taylor]: Taking taylor expansion of 2.0 in k 0.262 * [taylor]: Taking taylor expansion of PI in k 0.263 * [taylor]: Taking taylor expansion of (log n) in k 0.263 * [taylor]: Taking taylor expansion of n in k 0.273 * [taylor]: Taking taylor expansion of 0 in k 0.288 * [taylor]: Taking taylor expansion of 0 in k 0.308 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.308 * [taylor]: Taking taylor expansion of 0.5 in k 0.308 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.308 * [taylor]: Taking taylor expansion of 1.0 in k 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.308 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.309 * [taylor]: Taking taylor expansion of 2.0 in k 0.309 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.309 * [taylor]: Taking taylor expansion of PI in k 0.309 * [taylor]: Taking taylor expansion of n in k 0.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.310 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.310 * [taylor]: Taking taylor expansion of k in n 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.310 * [taylor]: Taking taylor expansion of 2.0 in n 0.310 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.310 * [taylor]: Taking taylor expansion of PI in n 0.310 * [taylor]: Taking taylor expansion of n in n 0.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.314 * [taylor]: Taking taylor expansion of 0.5 in n 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.314 * [taylor]: Taking taylor expansion of 1.0 in n 0.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.314 * [taylor]: Taking taylor expansion of k in n 0.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.314 * [taylor]: Taking taylor expansion of 2.0 in n 0.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.318 * [taylor]: Taking taylor expansion of 0.5 in k 0.318 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.318 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.318 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.318 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.318 * [taylor]: Taking taylor expansion of 2.0 in k 0.318 * [taylor]: Taking taylor expansion of PI in k 0.319 * [taylor]: Taking taylor expansion of (log n) in k 0.319 * [taylor]: Taking taylor expansion of n in k 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.319 * [taylor]: Taking taylor expansion of 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 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.342 * [taylor]: Taking taylor expansion of 0 in k 0.351 * [taylor]: Taking taylor expansion of 0 in k 0.352 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.352 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.353 * [taylor]: Taking taylor expansion of 0.5 in k 0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [taylor]: Taking taylor expansion of k in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.353 * [taylor]: Taking taylor expansion of -2.0 in k 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.353 * [taylor]: Taking taylor expansion of PI in k 0.353 * [taylor]: Taking taylor expansion of n in k 0.354 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.354 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.354 * [taylor]: Taking taylor expansion of 0.5 in n 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.354 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.354 * [taylor]: Taking taylor expansion of k in n 0.354 * [taylor]: Taking taylor expansion of 1.0 in n 0.354 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.354 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.354 * [taylor]: Taking taylor expansion of -2.0 in n 0.354 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.354 * [taylor]: Taking taylor expansion of PI in n 0.354 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.358 * [taylor]: Taking taylor expansion of 0.5 in n 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.358 * [taylor]: Taking taylor expansion of k in n 0.358 * [taylor]: Taking taylor expansion of 1.0 in n 0.358 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.358 * [taylor]: Taking taylor expansion of -2.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.362 * [taylor]: Taking taylor expansion of 0.5 in k 0.362 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.362 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.362 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.362 * [taylor]: Taking taylor expansion of -2.0 in k 0.362 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of (log n) in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.372 * [taylor]: Taking taylor expansion of 0 in k 0.379 * [taylor]: Taking taylor expansion of 0 in k 0.388 * [taylor]: Taking taylor expansion of 0 in k 0.389 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.389 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.390 * [taylor]: Taking taylor expansion of 2.0 in n 0.390 * [taylor]: Taking taylor expansion of (* n PI) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of PI in n 0.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.390 * [taylor]: Taking taylor expansion of 2.0 in n 0.390 * [taylor]: Taking taylor expansion of (* n PI) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of PI in n 0.402 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.402 * [taylor]: Taking taylor expansion of 2.0 in n 0.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.402 * [taylor]: Taking taylor expansion of PI in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.403 * [taylor]: Taking taylor expansion of 2.0 in n 0.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.403 * [taylor]: Taking taylor expansion of PI in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.417 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.417 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.417 * [taylor]: Taking taylor expansion of -2.0 in n 0.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.417 * [taylor]: Taking taylor expansion of PI in n 0.417 * [taylor]: Taking taylor expansion of n in n 0.417 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.417 * [taylor]: Taking taylor expansion of -2.0 in n 0.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.417 * [taylor]: Taking taylor expansion of PI in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.426 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.426 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.426 * [taylor]: Taking taylor expansion of 1.0 in k 0.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.426 * [taylor]: Taking taylor expansion of k in k 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.428 * [taylor]: Taking taylor expansion of 1.0 in k 0.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.428 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.428 * [taylor]: Taking taylor expansion of k in k 0.439 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.439 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.439 * [taylor]: Taking taylor expansion of 1.0 in k 0.439 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.439 * [taylor]: Taking taylor expansion of k in k 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.440 * [taylor]: Taking taylor expansion of 1.0 in k 0.440 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.440 * [taylor]: Taking taylor expansion of k in k 0.450 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.450 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.451 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.451 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.451 * [taylor]: Taking taylor expansion of -1 in k 0.451 * [taylor]: Taking taylor expansion of k in k 0.452 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.452 * [taylor]: Taking taylor expansion of 1.0 in k 0.452 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.452 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.452 * [taylor]: Taking taylor expansion of -1 in k 0.452 * [taylor]: Taking taylor expansion of k in k 0.464 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.464 * [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 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.464 * [taylor]: Taking taylor expansion of 1.0 in n 0.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.464 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.464 * [taylor]: Taking taylor expansion of k in n 0.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.465 * [taylor]: Taking taylor expansion of 0.5 in n 0.465 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.465 * [taylor]: Taking taylor expansion of 1.0 in n 0.465 * [taylor]: Taking taylor expansion of k in n 0.465 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.465 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.465 * [taylor]: Taking taylor expansion of 2.0 in n 0.465 * [taylor]: Taking taylor expansion of (* n PI) in n 0.465 * [taylor]: Taking taylor expansion of n in n 0.465 * [taylor]: Taking taylor expansion of PI in n 0.470 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.470 * [taylor]: Taking taylor expansion of 1.0 in k 0.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.470 * [taylor]: Taking taylor expansion of k in k 0.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.471 * [taylor]: Taking taylor expansion of 0.5 in k 0.471 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.471 * [taylor]: Taking taylor expansion of 1.0 in k 0.472 * [taylor]: Taking taylor expansion of k in k 0.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.472 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.472 * [taylor]: Taking taylor expansion of 2.0 in k 0.472 * [taylor]: Taking taylor expansion of (* n PI) in k 0.472 * [taylor]: Taking taylor expansion of n in k 0.472 * [taylor]: Taking taylor expansion of PI in k 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.473 * [taylor]: Taking taylor expansion of 1.0 in k 0.473 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.473 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.473 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.474 * [taylor]: Taking taylor expansion of 0.5 in k 0.474 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.474 * [taylor]: Taking taylor expansion of 1.0 in k 0.474 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.474 * [taylor]: Taking taylor expansion of 2.0 in k 0.474 * [taylor]: Taking taylor expansion of (* n PI) in k 0.474 * [taylor]: Taking taylor expansion of n in k 0.474 * [taylor]: Taking taylor expansion of PI in k 0.475 * [taylor]: Taking taylor expansion of 0 in n 0.481 * [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 0.481 * [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 0.481 * [taylor]: Taking taylor expansion of +nan.0 in n 0.481 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.481 * [taylor]: Taking taylor expansion of 0.5 in n 0.481 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.481 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.481 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (log PI) in n 0.481 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.483 * [taylor]: Taking taylor expansion of 1.0 in n 0.483 * [taylor]: Taking taylor expansion of (log n) in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.484 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.484 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.484 * [taylor]: Taking taylor expansion of 1.0 in n 0.484 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.484 * [taylor]: Taking taylor expansion of 2.0 in n 0.508 * [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 0.508 * [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 0.508 * [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 0.508 * [taylor]: Taking taylor expansion of +nan.0 in n 0.508 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.508 * [taylor]: Taking taylor expansion of 0.5 in n 0.508 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.508 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.508 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (log PI) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.510 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.510 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log n) in n 0.510 * [taylor]: Taking taylor expansion of n in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [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 0.517 * [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 0.517 * [taylor]: Taking taylor expansion of +nan.0 in n 0.517 * [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 0.517 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.517 * [taylor]: Taking taylor expansion of 0.5 in n 0.517 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.517 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.517 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.517 * [taylor]: Taking taylor expansion of 2.0 in n 0.519 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.519 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log PI) in n 0.519 * [taylor]: Taking taylor expansion of PI in n 0.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log n) in n 0.521 * [taylor]: Taking taylor expansion of n in n 0.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.525 * [taylor]: Taking taylor expansion of 2.0 in n 0.525 * [taylor]: Taking taylor expansion of (* n PI) in n 0.525 * [taylor]: Taking taylor expansion of n in n 0.525 * [taylor]: Taking taylor expansion of PI in n 0.575 * [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 0.575 * [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 0.575 * [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 0.575 * [taylor]: Taking taylor expansion of +nan.0 in n 0.575 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.575 * [taylor]: Taking taylor expansion of 0.5 in n 0.575 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.575 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.575 * [taylor]: Taking taylor expansion of 2.0 in n 0.577 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.577 * [taylor]: Taking taylor expansion of 1.0 in n 0.577 * [taylor]: Taking taylor expansion of (log n) in n 0.577 * [taylor]: Taking taylor expansion of n in n 0.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log PI) in n 0.578 * [taylor]: Taking taylor expansion of PI in n 0.583 * [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 0.583 * [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 0.583 * [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 0.583 * [taylor]: Taking taylor expansion of +nan.0 in n 0.583 * [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 0.583 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.583 * [taylor]: Taking taylor expansion of 0.5 in n 0.583 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.583 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.584 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.591 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.591 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (log PI) in n 0.591 * [taylor]: Taking taylor expansion of PI in n 0.593 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log n) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.598 * [taylor]: Taking taylor expansion of 2.0 in n 0.598 * [taylor]: Taking taylor expansion of (* n PI) in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.598 * [taylor]: Taking taylor expansion of PI in n 0.601 * [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 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of +nan.0 in n 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.601 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.601 * [taylor]: Taking taylor expansion of 2.0 in n 0.603 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.603 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (log PI) in n 0.603 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log n) in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.609 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.609 * [taylor]: Taking taylor expansion of 2.0 in n 0.609 * [taylor]: Taking taylor expansion of (* n PI) in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.686 * [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 0.686 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.687 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.687 * [taylor]: Taking taylor expansion of k in n 0.687 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.687 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.687 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.687 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.687 * [taylor]: Taking taylor expansion of 0.5 in n 0.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.687 * [taylor]: Taking taylor expansion of 1.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.687 * [taylor]: Taking taylor expansion of k in n 0.687 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.687 * [taylor]: Taking taylor expansion of 2.0 in n 0.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.687 * [taylor]: Taking taylor expansion of PI in n 0.687 * [taylor]: Taking taylor expansion of n in n 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.691 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.691 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.691 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.692 * [taylor]: Taking taylor expansion of 0.5 in k 0.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.692 * [taylor]: Taking taylor expansion of 1.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.692 * [taylor]: Taking taylor expansion of k in k 0.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.692 * [taylor]: Taking taylor expansion of 2.0 in k 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.692 * [taylor]: Taking taylor expansion of PI in k 0.692 * [taylor]: Taking taylor expansion of n in k 0.693 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.693 * [taylor]: Taking taylor expansion of 1.0 in k 0.693 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.693 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.693 * [taylor]: Taking taylor expansion of k in k 0.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.694 * [taylor]: Taking taylor expansion of 0.5 in k 0.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.694 * [taylor]: Taking taylor expansion of 1.0 in k 0.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.694 * [taylor]: Taking taylor expansion of k in k 0.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.695 * [taylor]: Taking taylor expansion of 2.0 in k 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.695 * [taylor]: Taking taylor expansion of PI in k 0.695 * [taylor]: Taking taylor expansion of n in k 0.696 * [taylor]: Taking taylor expansion of 0 in n 0.697 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.697 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.697 * [taylor]: Taking taylor expansion of +nan.0 in n 0.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.699 * [taylor]: Taking taylor expansion of 1.0 in n 0.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.699 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.707 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.707 * [taylor]: Taking taylor expansion of +nan.0 in n 0.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.707 * [taylor]: Taking taylor expansion of 0.5 in n 0.707 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.707 * [taylor]: Taking taylor expansion of 2.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.707 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.709 * [taylor]: Taking taylor expansion of 1.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.709 * [taylor]: Taking taylor expansion of k in n 0.725 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.725 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.725 * [taylor]: Taking taylor expansion of +nan.0 in n 0.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.726 * [taylor]: Taking taylor expansion of 0.5 in n 0.726 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.726 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.726 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.726 * [taylor]: Taking taylor expansion of 2.0 in n 0.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.726 * [taylor]: Taking taylor expansion of n in n 0.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.727 * [taylor]: Taking taylor expansion of 1.0 in n 0.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.727 * [taylor]: Taking taylor expansion of k in n 0.735 * [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 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.736 * [taylor]: Taking taylor expansion of 1.0 in n 0.736 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.736 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.736 * [taylor]: Taking taylor expansion of 0.5 in n 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.736 * [taylor]: Taking taylor expansion of k in n 0.736 * [taylor]: Taking taylor expansion of 1.0 in n 0.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.736 * [taylor]: Taking taylor expansion of -2.0 in n 0.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.736 * [taylor]: Taking taylor expansion of PI in n 0.736 * [taylor]: Taking taylor expansion of n in n 0.739 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.739 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.739 * [taylor]: Taking taylor expansion of -1 in n 0.739 * [taylor]: Taking taylor expansion of k in n 0.740 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.740 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.741 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.741 * [taylor]: Taking taylor expansion of 0.5 in k 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.741 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.741 * [taylor]: Taking taylor expansion of k in k 0.741 * [taylor]: Taking taylor expansion of 1.0 in k 0.741 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.741 * [taylor]: Taking taylor expansion of -2.0 in k 0.741 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.741 * [taylor]: Taking taylor expansion of PI in k 0.741 * [taylor]: Taking taylor expansion of n in k 0.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.742 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.742 * [taylor]: Taking taylor expansion of -1 in k 0.742 * [taylor]: Taking taylor expansion of k in k 0.743 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.743 * [taylor]: Taking taylor expansion of 1.0 in k 0.743 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.743 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.743 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.743 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.743 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.743 * [taylor]: Taking taylor expansion of 0.5 in k 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.743 * [taylor]: Taking taylor expansion of k in k 0.744 * [taylor]: Taking taylor expansion of 1.0 in k 0.744 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.744 * [taylor]: Taking taylor expansion of -2.0 in k 0.744 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.744 * [taylor]: Taking taylor expansion of PI in k 0.744 * [taylor]: Taking taylor expansion of n in k 0.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.745 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.745 * [taylor]: Taking taylor expansion of -1 in k 0.745 * [taylor]: Taking taylor expansion of k in k 0.746 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.746 * [taylor]: Taking taylor expansion of +nan.0 in n 0.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.746 * [taylor]: Taking taylor expansion of 0.5 in n 0.746 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.746 * [taylor]: Taking taylor expansion of 1.0 in n 0.746 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.746 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.746 * [taylor]: Taking taylor expansion of -2.0 in n 0.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.746 * [taylor]: Taking taylor expansion of PI in n 0.746 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.756 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.756 * [taylor]: Taking taylor expansion of +nan.0 in n 0.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.756 * [taylor]: Taking taylor expansion of 0.5 in n 0.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.756 * [taylor]: Taking taylor expansion of 1.0 in n 0.756 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.756 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.756 * [taylor]: Taking taylor expansion of -2.0 in n 0.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.756 * [taylor]: Taking taylor expansion of PI in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.779 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.779 * [taylor]: Taking taylor expansion of +nan.0 in n 0.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.779 * [taylor]: Taking taylor expansion of 0.5 in n 0.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.779 * [taylor]: Taking taylor expansion of k in n 0.779 * [taylor]: Taking taylor expansion of 1.0 in n 0.779 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.779 * [taylor]: Taking taylor expansion of -2.0 in n 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.779 * [taylor]: Taking taylor expansion of PI in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.789 * * * [progress]: simplifying candidates 0.791 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.885 * * * [progress]: adding candidates to table 1.302 * * [progress]: iteration 2 / 4 1.302 * * * [progress]: picking best candidate 1.339 * * * * [pick]: Picked # 1.339 * * * [progress]: localizing error 1.354 * * * [progress]: generating rewritten candidates 1.354 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.380 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.409 * * * [progress]: generating series expansions 1.409 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.409 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.410 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.410 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.410 * [taylor]: Taking taylor expansion of 0.25 in k 1.410 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.410 * [taylor]: Taking taylor expansion of 1.0 in k 1.410 * [taylor]: Taking taylor expansion of k in k 1.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.410 * [taylor]: Taking taylor expansion of 2.0 in k 1.410 * [taylor]: Taking taylor expansion of (* n PI) in k 1.410 * [taylor]: Taking taylor expansion of n in k 1.410 * [taylor]: Taking taylor expansion of PI in k 1.411 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.411 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.411 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.411 * [taylor]: Taking taylor expansion of 0.25 in n 1.411 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.411 * [taylor]: Taking taylor expansion of 1.0 in n 1.411 * [taylor]: Taking taylor expansion of k in n 1.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.411 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.411 * [taylor]: Taking taylor expansion of 2.0 in n 1.411 * [taylor]: Taking taylor expansion of (* n PI) in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.416 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.416 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.416 * [taylor]: Taking taylor expansion of 0.25 in n 1.416 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.416 * [taylor]: Taking taylor expansion of 1.0 in n 1.416 * [taylor]: Taking taylor expansion of k in n 1.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.417 * [taylor]: Taking taylor expansion of 2.0 in n 1.417 * [taylor]: Taking taylor expansion of (* n PI) in n 1.417 * [taylor]: Taking taylor expansion of n in n 1.417 * [taylor]: Taking taylor expansion of PI in n 1.422 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.422 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.422 * [taylor]: Taking taylor expansion of 0.25 in k 1.422 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.422 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.422 * [taylor]: Taking taylor expansion of 1.0 in k 1.422 * [taylor]: Taking taylor expansion of k in k 1.422 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.422 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.422 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.422 * [taylor]: Taking taylor expansion of 2.0 in k 1.422 * [taylor]: Taking taylor expansion of PI in k 1.423 * [taylor]: Taking taylor expansion of (log n) in k 1.423 * [taylor]: Taking taylor expansion of n in k 1.433 * [taylor]: Taking taylor expansion of 0 in k 1.448 * [taylor]: Taking taylor expansion of 0 in k 1.467 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.467 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.467 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.467 * [taylor]: Taking taylor expansion of 0.25 in k 1.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.467 * [taylor]: Taking taylor expansion of 1.0 in k 1.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.467 * [taylor]: Taking taylor expansion of k in k 1.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.467 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.467 * [taylor]: Taking taylor expansion of 2.0 in k 1.467 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.468 * [taylor]: Taking taylor expansion of PI in k 1.468 * [taylor]: Taking taylor expansion of n in k 1.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.469 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.469 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.469 * [taylor]: Taking taylor expansion of 0.25 in n 1.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.469 * [taylor]: Taking taylor expansion of 1.0 in n 1.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.469 * [taylor]: Taking taylor expansion of k in n 1.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.469 * [taylor]: Taking taylor expansion of 2.0 in n 1.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.472 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.472 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.472 * [taylor]: Taking taylor expansion of 0.25 in n 1.473 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.473 * [taylor]: Taking taylor expansion of 1.0 in n 1.473 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.473 * [taylor]: Taking taylor expansion of k in n 1.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.473 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.473 * [taylor]: Taking taylor expansion of 2.0 in n 1.473 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.473 * [taylor]: Taking taylor expansion of PI in n 1.473 * [taylor]: Taking taylor expansion of n in n 1.476 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.476 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.476 * [taylor]: Taking taylor expansion of 0.25 in k 1.476 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.476 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.476 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.476 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.476 * [taylor]: Taking taylor expansion of 2.0 in k 1.476 * [taylor]: Taking taylor expansion of PI in k 1.477 * [taylor]: Taking taylor expansion of (log n) in k 1.477 * [taylor]: Taking taylor expansion of n in k 1.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.477 * [taylor]: Taking taylor expansion of 1.0 in k 1.478 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.478 * [taylor]: Taking taylor expansion of k in k 1.493 * [taylor]: Taking taylor expansion of 0 in k 1.500 * [taylor]: Taking taylor expansion of 0 in k 1.510 * [taylor]: Taking taylor expansion of 0 in k 1.511 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.511 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.511 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.511 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.511 * [taylor]: Taking taylor expansion of 0.25 in k 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.511 * [taylor]: Taking taylor expansion of k in k 1.511 * [taylor]: Taking taylor expansion of 1.0 in k 1.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.511 * [taylor]: Taking taylor expansion of -2.0 in k 1.512 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.512 * [taylor]: Taking taylor expansion of PI in k 1.512 * [taylor]: Taking taylor expansion of n in k 1.512 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.512 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.512 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.512 * [taylor]: Taking taylor expansion of 0.25 in n 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.512 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.512 * [taylor]: Taking taylor expansion of k in n 1.513 * [taylor]: Taking taylor expansion of 1.0 in n 1.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.513 * [taylor]: Taking taylor expansion of -2.0 in n 1.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.513 * [taylor]: Taking taylor expansion of PI in n 1.513 * [taylor]: Taking taylor expansion of n in n 1.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.516 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.516 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.516 * [taylor]: Taking taylor expansion of 0.25 in n 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.516 * [taylor]: Taking taylor expansion of k in n 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.516 * [taylor]: Taking taylor expansion of -2.0 in n 1.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.516 * [taylor]: Taking taylor expansion of PI in n 1.516 * [taylor]: Taking taylor expansion of n in n 1.520 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.520 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.520 * [taylor]: Taking taylor expansion of 0.25 in k 1.520 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.520 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.520 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.520 * [taylor]: Taking taylor expansion of k in k 1.520 * [taylor]: Taking taylor expansion of 1.0 in k 1.520 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.520 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.520 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.521 * [taylor]: Taking taylor expansion of -2.0 in k 1.521 * [taylor]: Taking taylor expansion of PI in k 1.521 * [taylor]: Taking taylor expansion of (log n) in k 1.521 * [taylor]: Taking taylor expansion of n in k 1.530 * [taylor]: Taking taylor expansion of 0 in k 1.537 * [taylor]: Taking taylor expansion of 0 in k 1.546 * [taylor]: Taking taylor expansion of 0 in k 1.547 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.547 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.547 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.547 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.547 * [taylor]: Taking taylor expansion of 0.25 in k 1.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.547 * [taylor]: Taking taylor expansion of 1.0 in k 1.548 * [taylor]: Taking taylor expansion of k in k 1.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.548 * [taylor]: Taking taylor expansion of 2.0 in k 1.548 * [taylor]: Taking taylor expansion of (* n PI) in k 1.548 * [taylor]: Taking taylor expansion of n in k 1.548 * [taylor]: Taking taylor expansion of PI in k 1.549 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.549 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.549 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.549 * [taylor]: Taking taylor expansion of 0.25 in n 1.549 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.549 * [taylor]: Taking taylor expansion of 1.0 in n 1.549 * [taylor]: Taking taylor expansion of k in n 1.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.549 * [taylor]: Taking taylor expansion of 2.0 in n 1.549 * [taylor]: Taking taylor expansion of (* n PI) in n 1.549 * [taylor]: Taking taylor expansion of n in n 1.549 * [taylor]: Taking taylor expansion of PI in n 1.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.554 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.554 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.554 * [taylor]: Taking taylor expansion of 0.25 in n 1.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.554 * [taylor]: Taking taylor expansion of 1.0 in n 1.554 * [taylor]: Taking taylor expansion of k in n 1.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.554 * [taylor]: Taking taylor expansion of 2.0 in n 1.554 * [taylor]: Taking taylor expansion of (* n PI) in n 1.554 * [taylor]: Taking taylor expansion of n in n 1.554 * [taylor]: Taking taylor expansion of PI in n 1.560 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.560 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.560 * [taylor]: Taking taylor expansion of 0.25 in k 1.560 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.560 * [taylor]: Taking taylor expansion of 1.0 in k 1.560 * [taylor]: Taking taylor expansion of k in k 1.560 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.560 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.560 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.560 * [taylor]: Taking taylor expansion of 2.0 in k 1.560 * [taylor]: Taking taylor expansion of PI in k 1.561 * [taylor]: Taking taylor expansion of (log n) in k 1.561 * [taylor]: Taking taylor expansion of n in k 1.570 * [taylor]: Taking taylor expansion of 0 in k 1.591 * [taylor]: Taking taylor expansion of 0 in k 1.610 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.610 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.610 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.610 * [taylor]: Taking taylor expansion of 0.25 in k 1.610 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.610 * [taylor]: Taking taylor expansion of 1.0 in k 1.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.610 * [taylor]: Taking taylor expansion of k in k 1.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.611 * [taylor]: Taking taylor expansion of 2.0 in k 1.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.611 * [taylor]: Taking taylor expansion of PI in k 1.611 * [taylor]: Taking taylor expansion of n in k 1.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.612 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.612 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.612 * [taylor]: Taking taylor expansion of 0.25 in n 1.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.612 * [taylor]: Taking taylor expansion of 1.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.612 * [taylor]: Taking taylor expansion of k in n 1.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of 2.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.615 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.616 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.616 * [taylor]: Taking taylor expansion of 0.25 in n 1.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.616 * [taylor]: Taking taylor expansion of 1.0 in n 1.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.616 * [taylor]: Taking taylor expansion of k in n 1.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.616 * [taylor]: Taking taylor expansion of 2.0 in n 1.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.616 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.619 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.619 * [taylor]: Taking taylor expansion of 0.25 in k 1.619 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.619 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.619 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.620 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.620 * [taylor]: Taking taylor expansion of 2.0 in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.620 * [taylor]: Taking taylor expansion of (log n) in k 1.621 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.621 * [taylor]: Taking taylor expansion of k in k 1.630 * [taylor]: Taking taylor expansion of 0 in k 1.637 * [taylor]: Taking taylor expansion of 0 in k 1.646 * [taylor]: Taking taylor expansion of 0 in k 1.647 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.647 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.647 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.647 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.647 * [taylor]: Taking taylor expansion of 0.25 in k 1.648 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.648 * [taylor]: Taking taylor expansion of k in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.648 * [taylor]: Taking taylor expansion of -2.0 in k 1.648 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.648 * [taylor]: Taking taylor expansion of PI in k 1.648 * [taylor]: Taking taylor expansion of n in k 1.649 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.649 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.649 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.649 * [taylor]: Taking taylor expansion of 0.25 in n 1.649 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.649 * [taylor]: Taking taylor expansion of k in n 1.649 * [taylor]: Taking taylor expansion of 1.0 in n 1.649 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.649 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.649 * [taylor]: Taking taylor expansion of -2.0 in n 1.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.649 * [taylor]: Taking taylor expansion of PI in n 1.649 * [taylor]: Taking taylor expansion of n in n 1.653 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.653 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.653 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.653 * [taylor]: Taking taylor expansion of 0.25 in n 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.653 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.653 * [taylor]: Taking taylor expansion of k in n 1.653 * [taylor]: Taking taylor expansion of 1.0 in n 1.653 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of -2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.656 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.657 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.657 * [taylor]: Taking taylor expansion of 0.25 in k 1.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.657 * [taylor]: Taking taylor expansion of k in k 1.657 * [taylor]: Taking taylor expansion of 1.0 in k 1.657 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.657 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.657 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.657 * [taylor]: Taking taylor expansion of -2.0 in k 1.657 * [taylor]: Taking taylor expansion of PI in k 1.658 * [taylor]: Taking taylor expansion of (log n) in k 1.658 * [taylor]: Taking taylor expansion of n in k 1.673 * [taylor]: Taking taylor expansion of 0 in k 1.680 * [taylor]: Taking taylor expansion of 0 in k 1.689 * [taylor]: Taking taylor expansion of 0 in k 1.689 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.690 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.690 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.690 * [taylor]: Taking taylor expansion of 2.0 in n 1.690 * [taylor]: Taking taylor expansion of (* n PI) in n 1.690 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of PI in n 1.690 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.690 * [taylor]: Taking taylor expansion of 2.0 in n 1.690 * [taylor]: Taking taylor expansion of (* n PI) in n 1.690 * [taylor]: Taking taylor expansion of n in n 1.690 * [taylor]: Taking taylor expansion of PI in n 1.702 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.702 * [taylor]: Taking taylor expansion of 2.0 in n 1.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.702 * [taylor]: Taking taylor expansion of PI in n 1.702 * [taylor]: Taking taylor expansion of n in n 1.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.703 * [taylor]: Taking taylor expansion of 2.0 in n 1.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.703 * [taylor]: Taking taylor expansion of PI in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.712 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.712 * [taylor]: Taking taylor expansion of -2.0 in n 1.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.712 * [taylor]: Taking taylor expansion of PI in n 1.712 * [taylor]: Taking taylor expansion of n in n 1.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.712 * [taylor]: Taking taylor expansion of -2.0 in n 1.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.712 * [taylor]: Taking taylor expansion of PI in n 1.712 * [taylor]: Taking taylor expansion of n in n 1.721 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.721 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.721 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.721 * [taylor]: Taking taylor expansion of 2.0 in n 1.721 * [taylor]: Taking taylor expansion of (* n PI) in n 1.721 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.721 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.721 * [taylor]: Taking taylor expansion of 2.0 in n 1.721 * [taylor]: Taking taylor expansion of (* n PI) in n 1.721 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.734 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.734 * [taylor]: Taking taylor expansion of 2.0 in n 1.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.734 * [taylor]: Taking taylor expansion of PI in n 1.734 * [taylor]: Taking taylor expansion of n in n 1.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.734 * [taylor]: Taking taylor expansion of 2.0 in n 1.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.734 * [taylor]: Taking taylor expansion of PI in n 1.734 * [taylor]: Taking taylor expansion of n in n 1.749 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.749 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of -2.0 in n 1.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of -2.0 in n 1.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.758 * * * [progress]: simplifying candidates 1.761 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* 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2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (+ (pow (* (* 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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.830 * * * [progress]: adding candidates to table 2.526 * * [progress]: iteration 3 / 4 2.526 * * * [progress]: picking best candidate 2.551 * * * * [pick]: Picked # 2.551 * * * [progress]: localizing error 2.576 * * * [progress]: generating rewritten candidates 2.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.590 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.614 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.643 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.695 * * * [progress]: generating series expansions 2.695 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.696 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.696 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.696 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.696 * [taylor]: Taking taylor expansion of 0.25 in k 2.696 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.696 * [taylor]: Taking taylor expansion of 1.0 in k 2.696 * [taylor]: Taking taylor expansion of k in k 2.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.696 * [taylor]: Taking taylor expansion of 2.0 in k 2.696 * [taylor]: Taking taylor expansion of (* n PI) in k 2.696 * [taylor]: Taking taylor expansion of n in k 2.696 * [taylor]: Taking taylor expansion of PI in k 2.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.697 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.697 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.697 * [taylor]: Taking taylor expansion of 0.25 in n 2.697 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.697 * [taylor]: Taking taylor expansion of 1.0 in n 2.697 * [taylor]: Taking taylor expansion of k in n 2.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.697 * [taylor]: Taking taylor expansion of 2.0 in n 2.697 * [taylor]: Taking taylor expansion of (* n PI) in n 2.697 * [taylor]: Taking taylor expansion of n in n 2.698 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.712 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.712 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.712 * [taylor]: Taking taylor expansion of 0.25 in n 2.712 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.712 * [taylor]: Taking taylor expansion of 1.0 in n 2.712 * [taylor]: Taking taylor expansion of k in n 2.712 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.712 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.712 * [taylor]: Taking taylor expansion of 2.0 in n 2.712 * [taylor]: Taking taylor expansion of (* n PI) in n 2.712 * [taylor]: Taking taylor expansion of n in n 2.712 * [taylor]: Taking taylor expansion of PI in n 2.717 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.717 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.717 * [taylor]: Taking taylor expansion of 0.25 in k 2.717 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.717 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.718 * [taylor]: Taking taylor expansion of 1.0 in k 2.718 * [taylor]: Taking taylor expansion of k in k 2.718 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.718 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.718 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.718 * [taylor]: Taking taylor expansion of 2.0 in k 2.718 * [taylor]: Taking taylor expansion of PI in k 2.719 * [taylor]: Taking taylor expansion of (log n) in k 2.719 * [taylor]: Taking taylor expansion of n in k 2.728 * [taylor]: Taking taylor expansion of 0 in k 2.743 * [taylor]: Taking taylor expansion of 0 in k 2.762 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.762 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.762 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.762 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.762 * [taylor]: Taking taylor expansion of 0.25 in k 2.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.762 * [taylor]: Taking taylor expansion of 1.0 in k 2.762 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.762 * [taylor]: Taking taylor expansion of k in k 2.763 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.763 * [taylor]: Taking taylor expansion of 2.0 in k 2.763 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.763 * [taylor]: Taking taylor expansion of PI in k 2.763 * [taylor]: Taking taylor expansion of n in k 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 2.764 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.764 * [taylor]: Taking taylor expansion of 0.25 in n 2.764 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.764 * [taylor]: Taking taylor expansion of 1.0 in n 2.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.764 * [taylor]: Taking taylor expansion of k in n 2.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.764 * [taylor]: Taking taylor expansion of 2.0 in n 2.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.764 * [taylor]: Taking taylor expansion of PI in n 2.764 * [taylor]: Taking taylor expansion of n in n 2.768 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.768 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.768 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.768 * [taylor]: Taking taylor expansion of 0.25 in n 2.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.768 * [taylor]: Taking taylor expansion of 1.0 in n 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.768 * [taylor]: Taking taylor expansion of k in n 2.768 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.768 * [taylor]: Taking taylor expansion of 2.0 in n 2.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.768 * [taylor]: Taking taylor expansion of PI in n 2.768 * [taylor]: Taking taylor expansion of n in n 2.772 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.772 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.772 * [taylor]: Taking taylor expansion of 0.25 in k 2.772 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.772 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.772 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.772 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.772 * [taylor]: Taking taylor expansion of 2.0 in k 2.772 * [taylor]: Taking taylor expansion of PI in k 2.773 * [taylor]: Taking taylor expansion of (log n) in k 2.773 * [taylor]: Taking taylor expansion of n in k 2.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.773 * [taylor]: Taking taylor expansion of 1.0 in k 2.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.773 * [taylor]: Taking taylor expansion of k in k 2.783 * [taylor]: Taking taylor expansion of 0 in k 2.790 * [taylor]: Taking taylor expansion of 0 in k 2.804 * [taylor]: Taking taylor expansion of 0 in k 2.805 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 2.806 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.806 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.806 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.806 * [taylor]: Taking taylor expansion of 0.25 in k 2.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.806 * [taylor]: Taking taylor expansion of k in k 2.806 * [taylor]: Taking taylor expansion of 1.0 in k 2.806 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.806 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.806 * [taylor]: Taking taylor expansion of -2.0 in k 2.806 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.806 * [taylor]: Taking taylor expansion of PI in k 2.806 * [taylor]: Taking taylor expansion of n in k 2.807 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.807 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.807 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.807 * [taylor]: Taking taylor expansion of 0.25 in n 2.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.807 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.807 * [taylor]: Taking taylor expansion of k in n 2.807 * [taylor]: Taking taylor expansion of 1.0 in n 2.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.807 * [taylor]: Taking taylor expansion of -2.0 in n 2.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.807 * [taylor]: Taking taylor expansion of PI in n 2.807 * [taylor]: Taking taylor expansion of n in n 2.811 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.811 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.811 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.811 * [taylor]: Taking taylor expansion of 0.25 in n 2.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.811 * [taylor]: Taking taylor expansion of k in n 2.811 * [taylor]: Taking taylor expansion of 1.0 in n 2.811 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.811 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.811 * [taylor]: Taking taylor expansion of -2.0 in n 2.811 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.811 * [taylor]: Taking taylor expansion of PI in n 2.811 * [taylor]: Taking taylor expansion of n in n 2.815 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.815 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.815 * [taylor]: Taking taylor expansion of 0.25 in k 2.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.815 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.815 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.815 * [taylor]: Taking taylor expansion of k in k 2.815 * [taylor]: Taking taylor expansion of 1.0 in k 2.815 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.815 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.815 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.815 * [taylor]: Taking taylor expansion of -2.0 in k 2.815 * [taylor]: Taking taylor expansion of PI in k 2.816 * [taylor]: Taking taylor expansion of (log n) in k 2.816 * [taylor]: Taking taylor expansion of n in k 2.825 * [taylor]: Taking taylor expansion of 0 in k 2.832 * [taylor]: Taking taylor expansion of 0 in k 2.841 * [taylor]: Taking taylor expansion of 0 in k 2.842 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.842 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 2.842 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 2.842 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.842 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.842 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 2.842 * [taylor]: Taking taylor expansion of 0.125 in k 2.842 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.842 * [taylor]: Taking taylor expansion of 1.0 in k 2.843 * [taylor]: Taking taylor expansion of k in k 2.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.843 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.843 * [taylor]: Taking taylor expansion of 2.0 in k 2.843 * [taylor]: Taking taylor expansion of (* n PI) in k 2.843 * [taylor]: Taking taylor expansion of n in k 2.843 * [taylor]: Taking taylor expansion of PI in k 2.844 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.844 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.844 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.844 * [taylor]: Taking taylor expansion of 0.125 in n 2.844 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.844 * [taylor]: Taking taylor expansion of 1.0 in n 2.844 * [taylor]: Taking taylor expansion of k in n 2.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.844 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.844 * [taylor]: Taking taylor expansion of 2.0 in n 2.844 * [taylor]: Taking taylor expansion of (* n PI) in n 2.844 * [taylor]: Taking taylor expansion of n in n 2.844 * [taylor]: Taking taylor expansion of PI in n 2.849 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.849 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.849 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.849 * [taylor]: Taking taylor expansion of 0.125 in n 2.849 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.849 * [taylor]: Taking taylor expansion of 1.0 in n 2.849 * [taylor]: Taking taylor expansion of k in n 2.849 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.849 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.849 * [taylor]: Taking taylor expansion of 2.0 in n 2.849 * [taylor]: Taking taylor expansion of (* n PI) in n 2.850 * [taylor]: Taking taylor expansion of n in n 2.850 * [taylor]: Taking taylor expansion of PI in n 2.855 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.855 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.855 * [taylor]: Taking taylor expansion of 0.125 in k 2.855 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.855 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.855 * [taylor]: Taking taylor expansion of 1.0 in k 2.855 * [taylor]: Taking taylor expansion of k in k 2.855 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.855 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.855 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.855 * [taylor]: Taking taylor expansion of 2.0 in k 2.855 * [taylor]: Taking taylor expansion of PI in k 2.856 * [taylor]: Taking taylor expansion of (log n) in k 2.856 * [taylor]: Taking taylor expansion of n in k 2.865 * [taylor]: Taking taylor expansion of 0 in k 2.887 * [taylor]: Taking taylor expansion of 0 in k 2.906 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 2.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 2.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.906 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.906 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 2.906 * [taylor]: Taking taylor expansion of 0.125 in k 2.906 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.906 * [taylor]: Taking taylor expansion of 1.0 in k 2.906 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.906 * [taylor]: Taking taylor expansion of k in k 2.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.906 * [taylor]: Taking taylor expansion of 2.0 in k 2.906 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.906 * [taylor]: Taking taylor expansion of PI in k 2.906 * [taylor]: Taking taylor expansion of n in k 2.907 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 2.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.907 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.907 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 2.907 * [taylor]: Taking taylor expansion of 0.125 in n 2.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.907 * [taylor]: Taking taylor expansion of 1.0 in n 2.907 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.907 * [taylor]: Taking taylor expansion of k in n 2.907 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.907 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.907 * [taylor]: Taking taylor expansion of 2.0 in n 2.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.907 * [taylor]: Taking taylor expansion of PI in n 2.907 * [taylor]: Taking taylor expansion of n in n 2.911 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 2.911 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.911 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.911 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 2.911 * [taylor]: Taking taylor expansion of 0.125 in n 2.911 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.911 * [taylor]: Taking taylor expansion of 1.0 in n 2.911 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.911 * [taylor]: Taking taylor expansion of k in n 2.911 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.911 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.911 * [taylor]: Taking taylor expansion of 2.0 in n 2.911 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.911 * [taylor]: Taking taylor expansion of PI in n 2.911 * [taylor]: Taking taylor expansion of n in n 2.915 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.915 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.915 * [taylor]: Taking taylor expansion of 0.125 in k 2.915 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.915 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.915 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.915 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.915 * [taylor]: Taking taylor expansion of 2.0 in k 2.915 * [taylor]: Taking taylor expansion of PI in k 2.916 * [taylor]: Taking taylor expansion of (log n) in k 2.916 * [taylor]: Taking taylor expansion of n in k 2.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.916 * [taylor]: Taking taylor expansion of 1.0 in k 2.916 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.916 * [taylor]: Taking taylor expansion of k in k 2.926 * [taylor]: Taking taylor expansion of 0 in k 2.933 * [taylor]: Taking taylor expansion of 0 in k 2.942 * [taylor]: Taking taylor expansion of 0 in k 2.943 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 2.943 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 2.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.943 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.943 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 2.943 * [taylor]: Taking taylor expansion of 0.125 in k 2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.943 * [taylor]: Taking taylor expansion of k in k 2.944 * [taylor]: Taking taylor expansion of 1.0 in k 2.944 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.944 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.944 * [taylor]: Taking taylor expansion of -2.0 in k 2.944 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.944 * [taylor]: Taking taylor expansion of PI in k 2.944 * [taylor]: Taking taylor expansion of n in k 2.945 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 2.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.945 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.945 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 2.945 * [taylor]: Taking taylor expansion of 0.125 in n 2.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.945 * [taylor]: Taking taylor expansion of k in n 2.945 * [taylor]: Taking taylor expansion of 1.0 in n 2.945 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.945 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.945 * [taylor]: Taking taylor expansion of -2.0 in n 2.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.945 * [taylor]: Taking taylor expansion of PI in n 2.945 * [taylor]: Taking taylor expansion of n in n 2.948 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 2.948 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.949 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.949 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 2.949 * [taylor]: Taking taylor expansion of 0.125 in n 2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.949 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.949 * [taylor]: Taking taylor expansion of k in n 2.949 * [taylor]: Taking taylor expansion of 1.0 in n 2.949 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.949 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.949 * [taylor]: Taking taylor expansion of -2.0 in n 2.949 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.949 * [taylor]: Taking taylor expansion of PI in n 2.949 * [taylor]: Taking taylor expansion of n in n 2.952 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.952 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.952 * [taylor]: Taking taylor expansion of 0.125 in k 2.952 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.953 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.953 * [taylor]: Taking taylor expansion of k in k 2.953 * [taylor]: Taking taylor expansion of 1.0 in k 2.953 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.953 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.953 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.953 * [taylor]: Taking taylor expansion of -2.0 in k 2.953 * [taylor]: Taking taylor expansion of PI in k 2.954 * [taylor]: Taking taylor expansion of (log n) in k 2.954 * [taylor]: Taking taylor expansion of n in k 2.963 * [taylor]: Taking taylor expansion of 0 in k 2.975 * [taylor]: Taking taylor expansion of 0 in k 2.984 * [taylor]: Taking taylor expansion of 0 in k 2.985 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.986 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 2.986 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 2.986 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.986 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.986 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 2.986 * [taylor]: Taking taylor expansion of 0.125 in k 2.986 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.986 * [taylor]: Taking taylor expansion of 1.0 in k 2.986 * [taylor]: Taking taylor expansion of k in k 2.986 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.986 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.986 * [taylor]: Taking taylor expansion of 2.0 in k 2.986 * [taylor]: Taking taylor expansion of (* n PI) in k 2.986 * [taylor]: Taking taylor expansion of n in k 2.986 * [taylor]: Taking taylor expansion of PI in k 2.987 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.987 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.987 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.987 * [taylor]: Taking taylor expansion of 0.125 in n 2.987 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.987 * [taylor]: Taking taylor expansion of 1.0 in n 2.987 * [taylor]: Taking taylor expansion of k in n 2.987 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.987 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.987 * [taylor]: Taking taylor expansion of 2.0 in n 2.987 * [taylor]: Taking taylor expansion of (* n PI) in n 2.987 * [taylor]: Taking taylor expansion of n in n 2.987 * [taylor]: Taking taylor expansion of PI in n 2.992 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.992 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.992 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.992 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.992 * [taylor]: Taking taylor expansion of 0.125 in n 2.992 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.992 * [taylor]: Taking taylor expansion of 1.0 in n 2.993 * [taylor]: Taking taylor expansion of k in n 2.993 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.993 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.993 * [taylor]: Taking taylor expansion of 2.0 in n 2.993 * [taylor]: Taking taylor expansion of (* n PI) in n 2.993 * [taylor]: Taking taylor expansion of n in n 2.993 * [taylor]: Taking taylor expansion of PI in n 2.998 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.998 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.998 * [taylor]: Taking taylor expansion of 0.125 in k 2.998 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.998 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.998 * [taylor]: Taking taylor expansion of 1.0 in k 2.998 * [taylor]: Taking taylor expansion of k in k 2.998 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.998 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.998 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.998 * [taylor]: Taking taylor expansion of 2.0 in k 2.998 * [taylor]: Taking taylor expansion of PI in k 2.999 * [taylor]: Taking taylor expansion of (log n) in k 2.999 * [taylor]: Taking taylor expansion of n in k 3.008 * [taylor]: Taking taylor expansion of 0 in k 3.024 * [taylor]: Taking taylor expansion of 0 in k 3.043 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 3.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 3.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.043 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.043 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 3.043 * [taylor]: Taking taylor expansion of 0.125 in k 3.043 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.043 * [taylor]: Taking taylor expansion of 1.0 in k 3.043 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.043 * [taylor]: Taking taylor expansion of k in k 3.043 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.043 * [taylor]: Taking taylor expansion of 2.0 in k 3.043 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.043 * [taylor]: Taking taylor expansion of PI in k 3.043 * [taylor]: Taking taylor expansion of n in k 3.044 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 3.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.044 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.044 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 3.044 * [taylor]: Taking taylor expansion of 0.125 in n 3.044 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.044 * [taylor]: Taking taylor expansion of 1.0 in n 3.044 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.044 * [taylor]: Taking taylor expansion of k in n 3.044 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.044 * [taylor]: Taking taylor expansion of 2.0 in n 3.044 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.045 * [taylor]: Taking taylor expansion of PI in n 3.045 * [taylor]: Taking taylor expansion of n in n 3.048 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 3.048 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.048 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.048 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 3.048 * [taylor]: Taking taylor expansion of 0.125 in n 3.048 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.048 * [taylor]: Taking taylor expansion of 1.0 in n 3.048 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.048 * [taylor]: Taking taylor expansion of k in n 3.048 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.048 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.048 * [taylor]: Taking taylor expansion of 2.0 in n 3.048 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.048 * [taylor]: Taking taylor expansion of PI in n 3.048 * [taylor]: Taking taylor expansion of n in n 3.058 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.058 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.058 * [taylor]: Taking taylor expansion of 0.125 in k 3.058 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.058 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.058 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.058 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.058 * [taylor]: Taking taylor expansion of 2.0 in k 3.058 * [taylor]: Taking taylor expansion of PI in k 3.059 * [taylor]: Taking taylor expansion of (log n) in k 3.059 * [taylor]: Taking taylor expansion of n in k 3.059 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.059 * [taylor]: Taking taylor expansion of 1.0 in k 3.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.059 * [taylor]: Taking taylor expansion of k in k 3.068 * [taylor]: Taking taylor expansion of 0 in k 3.076 * [taylor]: Taking taylor expansion of 0 in k 3.085 * [taylor]: Taking taylor expansion of 0 in k 3.086 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 3.086 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 3.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.086 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.086 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 3.086 * [taylor]: Taking taylor expansion of 0.125 in k 3.086 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.086 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.086 * [taylor]: Taking taylor expansion of k in k 3.086 * [taylor]: Taking taylor expansion of 1.0 in k 3.087 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.087 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.087 * [taylor]: Taking taylor expansion of -2.0 in k 3.087 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.087 * [taylor]: Taking taylor expansion of PI in k 3.087 * [taylor]: Taking taylor expansion of n in k 3.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 3.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.087 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.087 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 3.087 * [taylor]: Taking taylor expansion of 0.125 in n 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.088 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.088 * [taylor]: Taking taylor expansion of k in n 3.088 * [taylor]: Taking taylor expansion of 1.0 in n 3.088 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.088 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.088 * [taylor]: Taking taylor expansion of -2.0 in n 3.088 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.088 * [taylor]: Taking taylor expansion of PI in n 3.088 * [taylor]: Taking taylor expansion of n in n 3.091 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 3.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.091 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.091 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 3.091 * [taylor]: Taking taylor expansion of 0.125 in n 3.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.091 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.091 * [taylor]: Taking taylor expansion of k in n 3.091 * [taylor]: Taking taylor expansion of 1.0 in n 3.091 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.092 * [taylor]: Taking taylor expansion of -2.0 in n 3.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.092 * [taylor]: Taking taylor expansion of PI in n 3.092 * [taylor]: Taking taylor expansion of n in n 3.095 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.095 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.095 * [taylor]: Taking taylor expansion of 0.125 in k 3.095 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.095 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.095 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.095 * [taylor]: Taking taylor expansion of k in k 3.096 * [taylor]: Taking taylor expansion of 1.0 in k 3.096 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.096 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.096 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.096 * [taylor]: Taking taylor expansion of -2.0 in k 3.096 * [taylor]: Taking taylor expansion of PI in k 3.097 * [taylor]: Taking taylor expansion of (log n) in k 3.097 * [taylor]: Taking taylor expansion of n in k 3.106 * [taylor]: Taking taylor expansion of 0 in k 3.112 * [taylor]: Taking taylor expansion of 0 in k 3.121 * [taylor]: Taking taylor expansion of 0 in k 3.122 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.123 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.123 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.123 * [taylor]: Taking taylor expansion of 2.0 in n 3.123 * [taylor]: Taking taylor expansion of (* n PI) in n 3.123 * [taylor]: Taking taylor expansion of n in n 3.123 * [taylor]: Taking taylor expansion of PI in n 3.123 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.123 * [taylor]: Taking taylor expansion of 2.0 in n 3.123 * [taylor]: Taking taylor expansion of (* n PI) in n 3.123 * [taylor]: Taking taylor expansion of n in n 3.123 * [taylor]: Taking taylor expansion of PI in n 3.135 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.135 * [taylor]: Taking taylor expansion of 2.0 in n 3.135 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.135 * [taylor]: Taking taylor expansion of PI in n 3.135 * [taylor]: Taking taylor expansion of n in n 3.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.136 * [taylor]: Taking taylor expansion of 2.0 in n 3.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.136 * [taylor]: Taking taylor expansion of PI in n 3.136 * [taylor]: Taking taylor expansion of n in n 3.280 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.280 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.280 * [taylor]: Taking taylor expansion of -2.0 in n 3.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.280 * [taylor]: Taking taylor expansion of PI in n 3.281 * [taylor]: Taking taylor expansion of n in n 3.281 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.281 * [taylor]: Taking taylor expansion of -2.0 in n 3.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.281 * [taylor]: Taking taylor expansion of PI in n 3.281 * [taylor]: Taking taylor expansion of n in n 3.290 * * * [progress]: simplifying candidates 3.298 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ 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(/ (/ (- 1.0 k) 2.0) 4) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (+ (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)))))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (pow (* (* 2.0 PI) n) 0.125) (* (* 0.0078125 (pow k 2)) (+ (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n)))))) (* (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) 0.125)) (* (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n)) 0.125)) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (pow (* (* 2.0 PI) n) 0.125) (* (* 0.0078125 (pow k 2)) (+ (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n)))))) (* (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) 0.125)) (* (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n)) 0.125)) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.365 * * * [progress]: adding candidates to table 5.629 * * [progress]: iteration 4 / 4 5.629 * * * [progress]: picking best candidate 5.651 * * * * [pick]: Picked # 5.651 * * * [progress]: localizing error 5.670 * * * [progress]: generating rewritten candidates 5.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.679 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.686 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.689 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.696 * * * [progress]: generating series expansions 5.697 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.697 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.698 * [taylor]: Taking taylor expansion of 0.5 in k 5.698 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.698 * [taylor]: Taking taylor expansion of 1.0 in k 5.698 * [taylor]: Taking taylor expansion of k in k 5.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.698 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.698 * [taylor]: Taking taylor expansion of 2.0 in k 5.698 * [taylor]: Taking taylor expansion of (* n PI) in k 5.698 * [taylor]: Taking taylor expansion of n in k 5.698 * [taylor]: Taking taylor expansion of PI in k 5.699 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.699 * [taylor]: Taking taylor expansion of 0.5 in n 5.699 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.699 * [taylor]: Taking taylor expansion of 1.0 in n 5.699 * [taylor]: Taking taylor expansion of k in n 5.699 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.699 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.699 * [taylor]: Taking taylor expansion of 2.0 in n 5.699 * [taylor]: Taking taylor expansion of (* n PI) in n 5.699 * [taylor]: Taking taylor expansion of n in n 5.699 * [taylor]: Taking taylor expansion of PI in n 5.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.704 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.704 * [taylor]: Taking taylor expansion of 0.5 in n 5.704 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.704 * [taylor]: Taking taylor expansion of 1.0 in n 5.704 * [taylor]: Taking taylor expansion of k in n 5.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.704 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.704 * [taylor]: Taking taylor expansion of 2.0 in n 5.704 * [taylor]: Taking taylor expansion of (* n PI) in n 5.705 * [taylor]: Taking taylor expansion of n in n 5.705 * [taylor]: Taking taylor expansion of PI in n 5.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.710 * [taylor]: Taking taylor expansion of 0.5 in k 5.710 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.710 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.710 * [taylor]: Taking taylor expansion of 1.0 in k 5.710 * [taylor]: Taking taylor expansion of k in k 5.710 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.710 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.710 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.710 * [taylor]: Taking taylor expansion of 2.0 in k 5.710 * [taylor]: Taking taylor expansion of PI in k 5.711 * [taylor]: Taking taylor expansion of (log n) in k 5.711 * [taylor]: Taking taylor expansion of n in k 5.720 * [taylor]: Taking taylor expansion of 0 in k 5.736 * [taylor]: Taking taylor expansion of 0 in k 5.760 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.761 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.761 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.761 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.761 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.761 * [taylor]: Taking taylor expansion of 0.5 in k 5.761 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.761 * [taylor]: Taking taylor expansion of 1.0 in k 5.761 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.761 * [taylor]: Taking taylor expansion of k in k 5.761 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.761 * [taylor]: Taking taylor expansion of 2.0 in k 5.761 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.761 * [taylor]: Taking taylor expansion of PI in k 5.761 * [taylor]: Taking taylor expansion of n in k 5.762 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.762 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.762 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.762 * [taylor]: Taking taylor expansion of 0.5 in n 5.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.762 * [taylor]: Taking taylor expansion of 1.0 in n 5.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.762 * [taylor]: Taking taylor expansion of k in n 5.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.762 * [taylor]: Taking taylor expansion of 2.0 in n 5.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.762 * [taylor]: Taking taylor expansion of PI in n 5.762 * [taylor]: Taking taylor expansion of n in n 5.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.766 * [taylor]: Taking taylor expansion of 0.5 in n 5.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.766 * [taylor]: Taking taylor expansion of 1.0 in n 5.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.766 * [taylor]: Taking taylor expansion of k in n 5.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.766 * [taylor]: Taking taylor expansion of 2.0 in n 5.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.766 * [taylor]: Taking taylor expansion of PI in n 5.766 * [taylor]: Taking taylor expansion of n in n 5.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.770 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.770 * [taylor]: Taking taylor expansion of 0.5 in k 5.770 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.770 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.770 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.770 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.770 * [taylor]: Taking taylor expansion of 2.0 in k 5.770 * [taylor]: Taking taylor expansion of PI in k 5.771 * [taylor]: Taking taylor expansion of (log n) in k 5.771 * [taylor]: Taking taylor expansion of n in k 5.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.771 * [taylor]: Taking taylor expansion of 1.0 in k 5.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.771 * [taylor]: Taking taylor expansion of k in k 5.781 * [taylor]: Taking taylor expansion of 0 in k 5.788 * [taylor]: Taking taylor expansion of 0 in k 5.797 * [taylor]: Taking taylor expansion of 0 in k 5.798 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.798 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.798 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.798 * [taylor]: Taking taylor expansion of 0.5 in k 5.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.798 * [taylor]: Taking taylor expansion of k in k 5.798 * [taylor]: Taking taylor expansion of 1.0 in k 5.798 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.798 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.798 * [taylor]: Taking taylor expansion of -2.0 in k 5.798 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.799 * [taylor]: Taking taylor expansion of PI in k 5.799 * [taylor]: Taking taylor expansion of n in k 5.799 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.799 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.799 * [taylor]: Taking taylor expansion of 0.5 in n 5.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.799 * [taylor]: Taking taylor expansion of k in n 5.799 * [taylor]: Taking taylor expansion of 1.0 in n 5.800 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.800 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.800 * [taylor]: Taking taylor expansion of -2.0 in n 5.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.800 * [taylor]: Taking taylor expansion of PI in n 5.800 * [taylor]: Taking taylor expansion of n in n 5.803 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.803 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.803 * [taylor]: Taking taylor expansion of 0.5 in n 5.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.803 * [taylor]: Taking taylor expansion of k in n 5.803 * [taylor]: Taking taylor expansion of 1.0 in n 5.803 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.803 * [taylor]: Taking taylor expansion of -2.0 in n 5.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.803 * [taylor]: Taking taylor expansion of PI in n 5.803 * [taylor]: Taking taylor expansion of n in n 5.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.807 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.807 * [taylor]: Taking taylor expansion of 0.5 in k 5.807 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.807 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.807 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.807 * [taylor]: Taking taylor expansion of k in k 5.807 * [taylor]: Taking taylor expansion of 1.0 in k 5.808 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.808 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.808 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.808 * [taylor]: Taking taylor expansion of -2.0 in k 5.808 * [taylor]: Taking taylor expansion of PI in k 5.809 * [taylor]: Taking taylor expansion of (log n) in k 5.809 * [taylor]: Taking taylor expansion of n in k 5.817 * [taylor]: Taking taylor expansion of 0 in k 5.824 * [taylor]: Taking taylor expansion of 0 in k 5.838 * [taylor]: Taking taylor expansion of 0 in k 5.839 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.840 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.840 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.840 * [taylor]: Taking taylor expansion of 2.0 in n 5.840 * [taylor]: Taking taylor expansion of (* n PI) in n 5.840 * [taylor]: Taking taylor expansion of n in n 5.840 * [taylor]: Taking taylor expansion of PI in n 5.840 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.840 * [taylor]: Taking taylor expansion of 2.0 in n 5.840 * [taylor]: Taking taylor expansion of (* n PI) in n 5.840 * [taylor]: Taking taylor expansion of n in n 5.840 * [taylor]: Taking taylor expansion of PI in n 5.852 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.852 * [taylor]: Taking taylor expansion of 2.0 in n 5.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.852 * [taylor]: Taking taylor expansion of PI in n 5.852 * [taylor]: Taking taylor expansion of n in n 5.852 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.852 * [taylor]: Taking taylor expansion of 2.0 in n 5.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.852 * [taylor]: Taking taylor expansion of PI in n 5.852 * [taylor]: Taking taylor expansion of n in n 5.861 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.861 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.861 * [taylor]: Taking taylor expansion of -2.0 in n 5.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.861 * [taylor]: Taking taylor expansion of PI in n 5.861 * [taylor]: Taking taylor expansion of n in n 5.862 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.862 * [taylor]: Taking taylor expansion of -2.0 in n 5.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.862 * [taylor]: Taking taylor expansion of PI in n 5.862 * [taylor]: Taking taylor expansion of n in n 5.870 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.870 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.870 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.870 * [taylor]: Taking taylor expansion of 1.0 in k 5.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.870 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.870 * [taylor]: Taking taylor expansion of k in k 5.872 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.872 * [taylor]: Taking taylor expansion of 1.0 in k 5.872 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.872 * [taylor]: Taking taylor expansion of k in k 5.883 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.883 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.883 * [taylor]: Taking taylor expansion of 1.0 in k 5.883 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.883 * [taylor]: Taking taylor expansion of k in k 5.884 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.884 * [taylor]: Taking taylor expansion of 1.0 in k 5.884 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.884 * [taylor]: Taking taylor expansion of k in k 5.894 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.894 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.894 * [taylor]: Taking taylor expansion of 1.0 in k 5.894 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.894 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.894 * [taylor]: Taking taylor expansion of -1 in k 5.894 * [taylor]: Taking taylor expansion of k in k 5.896 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.896 * [taylor]: Taking taylor expansion of 1.0 in k 5.896 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.896 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.896 * [taylor]: Taking taylor expansion of -1 in k 5.896 * [taylor]: Taking taylor expansion of k in k 5.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.908 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.908 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.908 * [taylor]: Taking taylor expansion of 1.0 in k 5.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.908 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.908 * [taylor]: Taking taylor expansion of k in k 5.909 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.909 * [taylor]: Taking taylor expansion of 1.0 in k 5.909 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.909 * [taylor]: Taking taylor expansion of k in k 5.926 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.926 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.926 * [taylor]: Taking taylor expansion of 1.0 in k 5.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.926 * [taylor]: Taking taylor expansion of k in k 5.927 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.927 * [taylor]: Taking taylor expansion of 1.0 in k 5.927 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.927 * [taylor]: Taking taylor expansion of k in k 5.937 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.937 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.937 * [taylor]: Taking taylor expansion of 1.0 in k 5.937 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.937 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.937 * [taylor]: Taking taylor expansion of -1 in k 5.937 * [taylor]: Taking taylor expansion of k in k 5.939 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.939 * [taylor]: Taking taylor expansion of 1.0 in k 5.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.939 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.939 * [taylor]: Taking taylor expansion of -1 in k 5.939 * [taylor]: Taking taylor expansion of k in k 5.951 * * * [progress]: simplifying candidates 5.952 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +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))))) 5.959 * * [simplify]: iteration 0 : 563 enodes (cost 883 ) 5.968 * * [simplify]: iteration 1 : 2197 enodes (cost 815 ) 6.006 * * [simplify]: iteration 2 : 5001 enodes (cost 791 ) 6.010 * [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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 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)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 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))) 6.011 * * * [progress]: adding candidates to table 6.445 * [progress]: [Phase 3 of 3] Extracting. 6.445 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.448 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 6.448 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 6.489 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 6.534 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 6.574 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 6.613 * * * [regime]: Found split indices: #