18.077 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.113 * * * [progress]: [2/2] Setting up program. 0.115 * [progress]: [Phase 2 of 3] Improving. 0.116 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.118 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.120 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.122 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.124 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.130 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.155 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.155 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.155 * * [progress]: iteration 1 / 4 0.155 * * * [progress]: picking best candidate 0.158 * * * * [pick]: Picked # 0.158 * * * [progress]: localizing error 0.170 * * * [progress]: generating rewritten candidates 0.170 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.180 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.183 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.192 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.216 * * * [progress]: generating series expansions 0.216 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.217 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.217 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.217 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.217 * [taylor]: Taking taylor expansion of 0.5 in k 0.217 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.217 * [taylor]: Taking taylor expansion of 1.0 in k 0.217 * [taylor]: Taking taylor expansion of k in k 0.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.217 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.217 * [taylor]: Taking taylor expansion of 2.0 in k 0.217 * [taylor]: Taking taylor expansion of (* n PI) in k 0.217 * [taylor]: Taking taylor expansion of n in k 0.217 * [taylor]: Taking taylor expansion of PI in k 0.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.218 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.218 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.218 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.218 * [taylor]: Taking taylor expansion of 0.5 in n 0.218 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.218 * [taylor]: Taking taylor expansion of 1.0 in n 0.218 * [taylor]: Taking taylor expansion of k in n 0.218 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.218 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.218 * [taylor]: Taking taylor expansion of 2.0 in n 0.218 * [taylor]: Taking taylor expansion of (* n PI) in n 0.218 * [taylor]: Taking taylor expansion of n in n 0.218 * [taylor]: Taking taylor expansion of PI in n 0.224 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.224 * [taylor]: Taking taylor expansion of 0.5 in n 0.224 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.224 * [taylor]: Taking taylor expansion of 1.0 in n 0.224 * [taylor]: Taking taylor expansion of k in n 0.224 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.224 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.224 * [taylor]: Taking taylor expansion of 2.0 in n 0.224 * [taylor]: Taking taylor expansion of (* n PI) in n 0.224 * [taylor]: Taking taylor expansion of n in n 0.224 * [taylor]: Taking taylor expansion of PI in n 0.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.230 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.230 * [taylor]: Taking taylor expansion of 0.5 in k 0.230 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.230 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.230 * [taylor]: Taking taylor expansion of 1.0 in k 0.230 * [taylor]: Taking taylor expansion of k in k 0.230 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.230 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.230 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.230 * [taylor]: Taking taylor expansion of 2.0 in k 0.230 * [taylor]: Taking taylor expansion of PI in k 0.231 * [taylor]: Taking taylor expansion of (log n) in k 0.231 * [taylor]: Taking taylor expansion of n in k 0.240 * [taylor]: Taking taylor expansion of 0 in k 0.256 * [taylor]: Taking taylor expansion of 0 in k 0.278 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.278 * [taylor]: Taking taylor expansion of 0.5 in k 0.278 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.278 * [taylor]: Taking taylor expansion of 1.0 in k 0.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.278 * [taylor]: Taking taylor expansion of k in k 0.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.278 * [taylor]: Taking taylor expansion of 2.0 in k 0.278 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.278 * [taylor]: Taking taylor expansion of PI in k 0.278 * [taylor]: Taking taylor expansion of n in k 0.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.279 * [taylor]: Taking taylor expansion of 0.5 in n 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.279 * [taylor]: Taking taylor expansion of 1.0 in n 0.279 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.279 * [taylor]: Taking taylor expansion of k in n 0.279 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.279 * [taylor]: Taking taylor expansion of 2.0 in n 0.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.280 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of n in n 0.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.283 * [taylor]: Taking taylor expansion of 0.5 in n 0.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.283 * [taylor]: Taking taylor expansion of 1.0 in n 0.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.283 * [taylor]: Taking taylor expansion of k in n 0.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.283 * [taylor]: Taking taylor expansion of 2.0 in n 0.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.283 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.287 * [taylor]: Taking taylor expansion of 0.5 in k 0.287 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.287 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.287 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.287 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.287 * [taylor]: Taking taylor expansion of 2.0 in k 0.287 * [taylor]: Taking taylor expansion of PI in k 0.288 * [taylor]: Taking taylor expansion of (log n) in k 0.288 * [taylor]: Taking taylor expansion of n in k 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of 0 in k 0.304 * [taylor]: Taking taylor expansion of 0 in k 0.313 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.314 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.314 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.315 * [taylor]: Taking taylor expansion of 0.5 in k 0.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.315 * [taylor]: Taking taylor expansion of k in k 0.315 * [taylor]: Taking taylor expansion of 1.0 in k 0.315 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.315 * [taylor]: Taking taylor expansion of -2.0 in k 0.315 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.315 * [taylor]: Taking taylor expansion of PI in k 0.315 * [taylor]: Taking taylor expansion of n in k 0.316 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.316 * [taylor]: Taking taylor expansion of 0.5 in n 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.316 * [taylor]: Taking taylor expansion of k in n 0.316 * [taylor]: Taking taylor expansion of 1.0 in n 0.316 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.316 * [taylor]: Taking taylor expansion of -2.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.320 * [taylor]: Taking taylor expansion of -2.0 in n 0.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.323 * [taylor]: Taking taylor expansion of 0.5 in k 0.323 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.323 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.323 * [taylor]: Taking taylor expansion of k in k 0.324 * [taylor]: Taking taylor expansion of 1.0 in k 0.324 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.324 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.324 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.324 * [taylor]: Taking taylor expansion of -2.0 in k 0.324 * [taylor]: Taking taylor expansion of PI in k 0.325 * [taylor]: Taking taylor expansion of (log n) in k 0.325 * [taylor]: Taking taylor expansion of n in k 0.334 * [taylor]: Taking taylor expansion of 0 in k 0.341 * [taylor]: Taking taylor expansion of 0 in k 0.350 * [taylor]: Taking taylor expansion of 0 in k 0.350 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.350 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.351 * [taylor]: Taking taylor expansion of 1.0 in k 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.351 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.366 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.367 * [taylor]: Taking taylor expansion of 1.0 in k 0.367 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.367 * [taylor]: Taking taylor expansion of k in k 0.368 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.368 * [taylor]: Taking taylor expansion of 1.0 in k 0.368 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.368 * [taylor]: Taking taylor expansion of k in k 0.378 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.378 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.378 * [taylor]: Taking taylor expansion of 1.0 in k 0.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.378 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.378 * [taylor]: Taking taylor expansion of -1 in k 0.378 * [taylor]: Taking taylor expansion of k in k 0.380 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.380 * [taylor]: Taking taylor expansion of 1.0 in k 0.380 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.380 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.380 * [taylor]: Taking taylor expansion of -1 in k 0.380 * [taylor]: Taking taylor expansion of k in k 0.391 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.391 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.392 * [taylor]: Taking taylor expansion of 2.0 in n 0.392 * [taylor]: Taking taylor expansion of (* n PI) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.392 * [taylor]: Taking taylor expansion of PI in n 0.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.392 * [taylor]: Taking taylor expansion of 2.0 in n 0.392 * [taylor]: Taking taylor expansion of (* n PI) in n 0.392 * [taylor]: Taking taylor expansion of n in n 0.392 * [taylor]: Taking taylor expansion of PI in n 0.404 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.404 * [taylor]: Taking taylor expansion of 2.0 in n 0.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.404 * [taylor]: Taking taylor expansion of PI in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.404 * [taylor]: Taking taylor expansion of 2.0 in n 0.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.404 * [taylor]: Taking taylor expansion of PI in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.413 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.413 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.413 * [taylor]: Taking taylor expansion of -2.0 in n 0.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.413 * [taylor]: Taking taylor expansion of -2.0 in n 0.413 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.422 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.422 * [taylor]: Taking taylor expansion of 1.0 in n 0.422 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.422 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.422 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.422 * [taylor]: Taking taylor expansion of k in n 0.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.423 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.423 * [taylor]: Taking taylor expansion of 0.5 in n 0.423 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.423 * [taylor]: Taking taylor expansion of 1.0 in n 0.423 * [taylor]: Taking taylor expansion of k in n 0.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.423 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.423 * [taylor]: Taking taylor expansion of 2.0 in n 0.423 * [taylor]: Taking taylor expansion of (* n PI) in n 0.423 * [taylor]: Taking taylor expansion of n in n 0.423 * [taylor]: Taking taylor expansion of PI in n 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.428 * [taylor]: Taking taylor expansion of 1.0 in k 0.428 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) 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 0.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.430 * [taylor]: Taking taylor expansion of 0.5 in k 0.430 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.430 * [taylor]: Taking taylor expansion of 1.0 in k 0.430 * [taylor]: Taking taylor expansion of k in k 0.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.430 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.430 * [taylor]: Taking taylor expansion of 2.0 in k 0.430 * [taylor]: Taking taylor expansion of (* n PI) in k 0.430 * [taylor]: Taking taylor expansion of n in k 0.430 * [taylor]: Taking taylor expansion of PI in k 0.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.431 * [taylor]: Taking taylor expansion of 1.0 in k 0.431 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.431 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.431 * [taylor]: Taking taylor expansion of k in k 0.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.432 * [taylor]: Taking taylor expansion of 0.5 in k 0.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.432 * [taylor]: Taking taylor expansion of 1.0 in k 0.432 * [taylor]: Taking taylor expansion of k in k 0.432 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.432 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.432 * [taylor]: Taking taylor expansion of 2.0 in k 0.432 * [taylor]: Taking taylor expansion of (* n PI) in k 0.432 * [taylor]: Taking taylor expansion of n in k 0.432 * [taylor]: Taking taylor expansion of PI in k 0.434 * [taylor]: Taking taylor expansion of 0 in n 0.443 * [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 0.443 * [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 0.443 * [taylor]: Taking taylor expansion of +nan.0 in n 0.443 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.443 * [taylor]: Taking taylor expansion of 0.5 in n 0.443 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.443 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.443 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (log PI) in n 0.443 * [taylor]: Taking taylor expansion of PI in n 0.445 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log n) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.445 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.465 * [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 0.465 * [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 0.466 * [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 0.466 * [taylor]: Taking taylor expansion of +nan.0 in n 0.466 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.466 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.466 * [taylor]: Taking taylor expansion of 0.5 in n 0.466 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.466 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.466 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.466 * [taylor]: Taking taylor expansion of 1.0 in n 0.466 * [taylor]: Taking taylor expansion of (log PI) in n 0.466 * [taylor]: Taking taylor expansion of PI in n 0.468 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.468 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.468 * [taylor]: Taking taylor expansion of 1.0 in n 0.468 * [taylor]: Taking taylor expansion of (log n) in n 0.468 * [taylor]: Taking taylor expansion of n in n 0.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.468 * [taylor]: Taking taylor expansion of 1.0 in n 0.468 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.468 * [taylor]: Taking taylor expansion of 2.0 in n 0.474 * [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 0.474 * [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 0.474 * [taylor]: Taking taylor expansion of +nan.0 in n 0.474 * [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 0.474 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.474 * [taylor]: Taking taylor expansion of 0.5 in n 0.474 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.474 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.474 * [taylor]: Taking taylor expansion of 1.0 in n 0.474 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.474 * [taylor]: Taking taylor expansion of 2.0 in n 0.476 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.476 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.476 * [taylor]: Taking taylor expansion of 1.0 in n 0.476 * [taylor]: Taking taylor expansion of (log PI) in n 0.476 * [taylor]: Taking taylor expansion of PI in n 0.478 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.478 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of (log n) in n 0.478 * [taylor]: Taking taylor expansion of n in n 0.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.482 * [taylor]: Taking taylor expansion of 2.0 in n 0.482 * [taylor]: Taking taylor expansion of (* n PI) in n 0.482 * [taylor]: Taking taylor expansion of n in n 0.482 * [taylor]: Taking taylor expansion of PI in n 0.537 * [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 0.537 * [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 0.537 * [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 0.537 * [taylor]: Taking taylor expansion of +nan.0 in n 0.537 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.537 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.537 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (log n) in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log PI) in n 0.540 * [taylor]: Taking taylor expansion of PI in n 0.545 * [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 0.545 * [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 0.545 * [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 0.545 * [taylor]: Taking taylor expansion of +nan.0 in n 0.545 * [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 0.545 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.545 * [taylor]: Taking taylor expansion of 0.5 in n 0.545 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.545 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.545 * [taylor]: Taking taylor expansion of 2.0 in n 0.547 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.547 * [taylor]: Taking taylor expansion of 1.0 in n 0.547 * [taylor]: Taking taylor expansion of (log PI) in n 0.547 * [taylor]: Taking taylor expansion of PI in n 0.549 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.549 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.549 * [taylor]: Taking taylor expansion of 1.0 in n 0.549 * [taylor]: Taking taylor expansion of (log n) in n 0.549 * [taylor]: Taking taylor expansion of n in n 0.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.554 * [taylor]: Taking taylor expansion of 2.0 in n 0.554 * [taylor]: Taking taylor expansion of (* n PI) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.554 * [taylor]: Taking taylor expansion of PI in n 0.557 * [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 0.557 * [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 0.557 * [taylor]: Taking taylor expansion of +nan.0 in n 0.557 * [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 0.557 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.557 * [taylor]: Taking taylor expansion of 0.5 in n 0.557 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.557 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.557 * [taylor]: Taking taylor expansion of 2.0 in n 0.559 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.559 * [taylor]: Taking taylor expansion of 1.0 in n 0.559 * [taylor]: Taking taylor expansion of (log PI) in n 0.559 * [taylor]: Taking taylor expansion of PI in n 0.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (log n) in n 0.561 * [taylor]: Taking taylor expansion of n in n 0.565 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.565 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.565 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.565 * [taylor]: Taking taylor expansion of 2.0 in n 0.565 * [taylor]: Taking taylor expansion of (* n PI) in n 0.565 * [taylor]: Taking taylor expansion of n in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.640 * [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 0.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.640 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of 2.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.644 * [taylor]: Taking taylor expansion of 1.0 in k 0.644 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.644 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.644 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.645 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.645 * [taylor]: Taking taylor expansion of 0.5 in k 0.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.645 * [taylor]: Taking taylor expansion of 1.0 in k 0.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.645 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.645 * [taylor]: Taking taylor expansion of 2.0 in k 0.645 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.645 * [taylor]: Taking taylor expansion of PI in k 0.645 * [taylor]: Taking taylor expansion of n in k 0.646 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.646 * [taylor]: Taking taylor expansion of 1.0 in k 0.646 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.647 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.647 * [taylor]: Taking taylor expansion of k in k 0.648 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.648 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.648 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.648 * [taylor]: Taking taylor expansion of 0.5 in k 0.648 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.648 * [taylor]: Taking taylor expansion of 1.0 in k 0.648 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.648 * [taylor]: Taking taylor expansion of k in k 0.648 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.648 * [taylor]: Taking taylor expansion of 2.0 in k 0.648 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.648 * [taylor]: Taking taylor expansion of PI in k 0.648 * [taylor]: Taking taylor expansion of n in k 0.649 * [taylor]: Taking taylor expansion of 0 in n 0.650 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.650 * [taylor]: Taking taylor expansion of +nan.0 in n 0.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.650 * [taylor]: Taking taylor expansion of 0.5 in n 0.650 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.650 * [taylor]: Taking taylor expansion of 2.0 in n 0.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.651 * [taylor]: Taking taylor expansion of PI in n 0.651 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.660 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.660 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.661 * [taylor]: Taking taylor expansion of +nan.0 in n 0.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.661 * [taylor]: Taking taylor expansion of 0.5 in n 0.661 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.661 * [taylor]: Taking taylor expansion of 2.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.661 * [taylor]: Taking taylor expansion of PI in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.662 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.662 * [taylor]: Taking taylor expansion of k in n 0.679 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.679 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.679 * [taylor]: Taking taylor expansion of +nan.0 in n 0.679 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.679 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.679 * [taylor]: Taking taylor expansion of 0.5 in n 0.679 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.679 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.679 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.679 * [taylor]: Taking taylor expansion of 2.0 in n 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.679 * [taylor]: Taking taylor expansion of PI in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.689 * [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 0.689 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.689 * [taylor]: Taking taylor expansion of 1.0 in n 0.689 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.689 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.689 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.689 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.689 * [taylor]: Taking taylor expansion of 0.5 in n 0.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.690 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of 1.0 in n 0.690 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.690 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.690 * [taylor]: Taking taylor expansion of -2.0 in n 0.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.693 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.693 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.693 * [taylor]: Taking taylor expansion of -1 in n 0.693 * [taylor]: Taking taylor expansion of k in n 0.694 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.694 * [taylor]: Taking taylor expansion of 1.0 in k 0.694 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.694 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.694 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.694 * [taylor]: Taking taylor expansion of 0.5 in k 0.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 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 (sqrt (/ -1 k)) in k 0.696 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.696 * [taylor]: Taking taylor expansion of -1 in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.697 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.697 * [taylor]: Taking taylor expansion of 1.0 in k 0.697 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.697 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.697 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.697 * [taylor]: Taking taylor expansion of 0.5 in k 0.697 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.697 * [taylor]: Taking taylor expansion of k in k 0.698 * [taylor]: Taking taylor expansion of 1.0 in k 0.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.698 * [taylor]: Taking taylor expansion of -2.0 in k 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.698 * [taylor]: Taking taylor expansion of PI in k 0.698 * [taylor]: Taking taylor expansion of n in k 0.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.699 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.699 * [taylor]: Taking taylor expansion of -1 in k 0.699 * [taylor]: Taking taylor expansion of k in k 0.703 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.703 * [taylor]: Taking taylor expansion of +nan.0 in n 0.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.703 * [taylor]: Taking taylor expansion of 0.5 in n 0.703 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of 1.0 in n 0.704 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.704 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.704 * [taylor]: Taking taylor expansion of -2.0 in n 0.704 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.713 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of 1.0 in n 0.713 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of -2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.730 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.730 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.730 * [taylor]: Taking taylor expansion of +nan.0 in n 0.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.730 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.730 * [taylor]: Taking taylor expansion of 0.5 in n 0.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.730 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.730 * [taylor]: Taking taylor expansion of k in n 0.730 * [taylor]: Taking taylor expansion of 1.0 in n 0.730 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.730 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.730 * [taylor]: Taking taylor expansion of -2.0 in n 0.730 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.730 * [taylor]: Taking taylor expansion of PI in n 0.730 * [taylor]: Taking taylor expansion of n in n 0.740 * * * [progress]: simplifying candidates 0.742 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.837 * * * [progress]: adding candidates to table 1.203 * * [progress]: iteration 2 / 4 1.203 * * * [progress]: picking best candidate 1.225 * * * * [pick]: Picked # 1.225 * * * [progress]: localizing error 1.240 * * * [progress]: generating rewritten candidates 1.240 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.249 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.252 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.267 * * * [progress]: generating series expansions 1.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.267 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.267 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.267 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.267 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.267 * [taylor]: Taking taylor expansion of 0.5 in k 1.267 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.267 * [taylor]: Taking taylor expansion of 1.0 in k 1.267 * [taylor]: Taking taylor expansion of k in k 1.267 * [taylor]: Taking taylor expansion of (log n) in k 1.267 * [taylor]: Taking taylor expansion of n in k 1.269 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.269 * [taylor]: Taking taylor expansion of 0.5 in n 1.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.269 * [taylor]: Taking taylor expansion of 1.0 in n 1.269 * [taylor]: Taking taylor expansion of k in n 1.269 * [taylor]: Taking taylor expansion of (log n) in n 1.269 * [taylor]: Taking taylor expansion of n in n 1.269 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.269 * [taylor]: Taking taylor expansion of 0.5 in n 1.269 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.269 * [taylor]: Taking taylor expansion of 1.0 in n 1.269 * [taylor]: Taking taylor expansion of k in n 1.269 * [taylor]: Taking taylor expansion of (log n) in n 1.270 * [taylor]: Taking taylor expansion of n in n 1.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 1.270 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 1.270 * [taylor]: Taking taylor expansion of 0.5 in k 1.270 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 1.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.270 * [taylor]: Taking taylor expansion of 1.0 in k 1.270 * [taylor]: Taking taylor expansion of k in k 1.270 * [taylor]: Taking taylor expansion of (log n) in k 1.270 * [taylor]: Taking taylor expansion of n in k 1.273 * [taylor]: Taking taylor expansion of 0 in k 1.278 * [taylor]: Taking taylor expansion of 0 in k 1.285 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.285 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.285 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.285 * [taylor]: Taking taylor expansion of 0.5 in k 1.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.285 * [taylor]: Taking taylor expansion of 1.0 in k 1.285 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.286 * [taylor]: Taking taylor expansion of k in k 1.286 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.286 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.286 * [taylor]: Taking taylor expansion of n in k 1.287 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.287 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.287 * [taylor]: Taking taylor expansion of 0.5 in n 1.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.287 * [taylor]: Taking taylor expansion of 1.0 in n 1.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.287 * [taylor]: Taking taylor expansion of k in n 1.287 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.287 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.287 * [taylor]: Taking taylor expansion of n in n 1.288 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.288 * [taylor]: Taking taylor expansion of 0.5 in n 1.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.288 * [taylor]: Taking taylor expansion of 1.0 in n 1.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.288 * [taylor]: Taking taylor expansion of k in n 1.288 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.288 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.288 * [taylor]: Taking taylor expansion of n in n 1.289 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 1.289 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 1.289 * [taylor]: Taking taylor expansion of -0.5 in k 1.289 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 1.289 * [taylor]: Taking taylor expansion of (log n) in k 1.289 * [taylor]: Taking taylor expansion of n in k 1.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.289 * [taylor]: Taking taylor expansion of 1.0 in k 1.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.289 * [taylor]: Taking taylor expansion of k in k 1.293 * [taylor]: Taking taylor expansion of 0 in k 1.297 * [taylor]: Taking taylor expansion of 0 in k 1.303 * [taylor]: Taking taylor expansion of 0 in k 1.303 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.303 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.303 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.303 * [taylor]: Taking taylor expansion of 0.5 in k 1.303 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.303 * [taylor]: Taking taylor expansion of k in k 1.303 * [taylor]: Taking taylor expansion of 1.0 in k 1.303 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.303 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.303 * [taylor]: Taking taylor expansion of -1 in k 1.303 * [taylor]: Taking taylor expansion of n in k 1.304 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.304 * [taylor]: Taking taylor expansion of 0.5 in n 1.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.304 * [taylor]: Taking taylor expansion of k in n 1.304 * [taylor]: Taking taylor expansion of 1.0 in n 1.304 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.304 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.304 * [taylor]: Taking taylor expansion of -1 in n 1.304 * [taylor]: Taking taylor expansion of n in n 1.306 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.306 * [taylor]: Taking taylor expansion of 0.5 in n 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.306 * [taylor]: Taking taylor expansion of k in n 1.306 * [taylor]: Taking taylor expansion of 1.0 in n 1.306 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.306 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.306 * [taylor]: Taking taylor expansion of -1 in n 1.306 * [taylor]: Taking taylor expansion of n in n 1.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.308 * [taylor]: Taking taylor expansion of 0.5 in k 1.308 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.308 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.308 * [taylor]: Taking taylor expansion of (log -1) in k 1.308 * [taylor]: Taking taylor expansion of -1 in k 1.308 * [taylor]: Taking taylor expansion of (log n) in k 1.308 * [taylor]: Taking taylor expansion of n in k 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.309 * [taylor]: Taking taylor expansion of k in k 1.309 * [taylor]: Taking taylor expansion of 1.0 in k 1.314 * [taylor]: Taking taylor expansion of 0 in k 1.318 * [taylor]: Taking taylor expansion of 0 in k 1.325 * [taylor]: Taking taylor expansion of 0 in k 1.325 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.326 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 1.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.326 * [taylor]: Taking taylor expansion of 0.5 in k 1.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.326 * [taylor]: Taking taylor expansion of 1.0 in k 1.326 * [taylor]: Taking taylor expansion of k in k 1.326 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.326 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.326 * [taylor]: Taking taylor expansion of 2.0 in k 1.326 * [taylor]: Taking taylor expansion of PI in k 1.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.330 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.330 * [taylor]: Taking taylor expansion of 0.5 in k 1.330 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.330 * [taylor]: Taking taylor expansion of 1.0 in k 1.330 * [taylor]: Taking taylor expansion of k in k 1.330 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.330 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.330 * [taylor]: Taking taylor expansion of 2.0 in k 1.330 * [taylor]: Taking taylor expansion of PI in k 1.378 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.378 * [taylor]: Taking taylor expansion of 0.5 in k 1.378 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.378 * [taylor]: Taking taylor expansion of 1.0 in k 1.378 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.378 * [taylor]: Taking taylor expansion of k in k 1.378 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.378 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.378 * [taylor]: Taking taylor expansion of 2.0 in k 1.378 * [taylor]: Taking taylor expansion of PI in k 1.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.382 * [taylor]: Taking taylor expansion of 0.5 in k 1.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.382 * [taylor]: Taking taylor expansion of 1.0 in k 1.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.382 * [taylor]: Taking taylor expansion of k in k 1.382 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.382 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.382 * [taylor]: Taking taylor expansion of 2.0 in k 1.382 * [taylor]: Taking taylor expansion of PI in k 1.387 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.387 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.387 * [taylor]: Taking taylor expansion of 0.5 in k 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.388 * [taylor]: Taking taylor expansion of k in k 1.388 * [taylor]: Taking taylor expansion of 1.0 in k 1.388 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.388 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.388 * [taylor]: Taking taylor expansion of 2.0 in k 1.388 * [taylor]: Taking taylor expansion of PI in k 1.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.391 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.391 * [taylor]: Taking taylor expansion of 0.5 in k 1.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.391 * [taylor]: Taking taylor expansion of k in k 1.391 * [taylor]: Taking taylor expansion of 1.0 in k 1.391 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.391 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.391 * [taylor]: Taking taylor expansion of 2.0 in k 1.391 * [taylor]: Taking taylor expansion of PI in k 1.396 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.396 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.396 * [taylor]: Taking taylor expansion of 1.0 in k 1.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.396 * [taylor]: Taking taylor expansion of k in k 1.397 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.397 * [taylor]: Taking taylor expansion of 1.0 in k 1.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.397 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.398 * [taylor]: Taking taylor expansion of k in k 1.408 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.408 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.409 * [taylor]: Taking taylor expansion of 1.0 in k 1.409 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.409 * [taylor]: Taking taylor expansion of k in k 1.419 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.419 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.419 * [taylor]: Taking taylor expansion of 1.0 in k 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.419 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.419 * [taylor]: Taking taylor expansion of -1 in k 1.419 * [taylor]: Taking taylor expansion of k in k 1.421 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.421 * [taylor]: Taking taylor expansion of 1.0 in k 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.421 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.421 * [taylor]: Taking taylor expansion of -1 in k 1.421 * [taylor]: Taking taylor expansion of k in k 1.432 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.432 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 1.432 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 1.432 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 1.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 1.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.432 * [taylor]: Taking taylor expansion of 0.5 in n 1.432 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.432 * [taylor]: Taking taylor expansion of 1.0 in n 1.432 * [taylor]: Taking taylor expansion of k in n 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.433 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.433 * [taylor]: Taking taylor expansion of 2.0 in n 1.433 * [taylor]: Taking taylor expansion of PI in n 1.435 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.435 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.435 * [taylor]: Taking taylor expansion of 0.5 in n 1.435 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.435 * [taylor]: Taking taylor expansion of 1.0 in n 1.435 * [taylor]: Taking taylor expansion of k in n 1.435 * [taylor]: Taking taylor expansion of (log n) in n 1.435 * [taylor]: Taking taylor expansion of n in n 1.436 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.436 * [taylor]: Taking taylor expansion of 0.5 in k 1.436 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.436 * [taylor]: Taking taylor expansion of 1.0 in k 1.436 * [taylor]: Taking taylor expansion of k in k 1.436 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.436 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.436 * [taylor]: Taking taylor expansion of 2.0 in k 1.436 * [taylor]: Taking taylor expansion of PI in k 1.443 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.443 * [taylor]: Taking taylor expansion of 0.5 in k 1.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.443 * [taylor]: Taking taylor expansion of 1.0 in k 1.443 * [taylor]: Taking taylor expansion of k in k 1.443 * [taylor]: Taking taylor expansion of (log n) in k 1.443 * [taylor]: Taking taylor expansion of n in k 1.444 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 1.444 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 1.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 1.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 1.444 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.444 * [taylor]: Taking taylor expansion of 0.5 in k 1.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.444 * [taylor]: Taking taylor expansion of 1.0 in k 1.444 * [taylor]: Taking taylor expansion of k in k 1.444 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.444 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.444 * [taylor]: Taking taylor expansion of 2.0 in k 1.444 * [taylor]: Taking taylor expansion of PI in k 1.448 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.448 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.448 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.448 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.448 * [taylor]: Taking taylor expansion of 0.5 in k 1.448 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.448 * [taylor]: Taking taylor expansion of 1.0 in k 1.448 * [taylor]: Taking taylor expansion of k in k 1.448 * [taylor]: Taking taylor expansion of (log n) in k 1.448 * [taylor]: Taking taylor expansion of n in k 1.450 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.450 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.450 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.450 * [taylor]: Taking taylor expansion of 0.5 in n 1.450 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.450 * [taylor]: Taking taylor expansion of 1.0 in n 1.450 * [taylor]: Taking taylor expansion of (log PI) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.452 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.452 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.452 * [taylor]: Taking taylor expansion of 1.0 in n 1.452 * [taylor]: Taking taylor expansion of (log n) in n 1.452 * [taylor]: Taking taylor expansion of n in n 1.452 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.452 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.452 * [taylor]: Taking taylor expansion of 1.0 in n 1.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.453 * [taylor]: Taking taylor expansion of 2.0 in n 1.477 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.477 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.477 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.477 * [taylor]: Taking taylor expansion of 0.5 in n 1.477 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.477 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.477 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.477 * [taylor]: Taking taylor expansion of 2.0 in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.478 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.478 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.478 * [taylor]: Taking taylor expansion of 0.5 in n 1.478 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.478 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.478 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.478 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.478 * [taylor]: Taking taylor expansion of 1.0 in n 1.478 * [taylor]: Taking taylor expansion of (log PI) in n 1.478 * [taylor]: Taking taylor expansion of PI in n 1.480 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.480 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.480 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (log n) in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.481 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.481 * [taylor]: Taking taylor expansion of 2.0 in n 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.486 * [taylor]: Taking taylor expansion of 0.5 in n 1.486 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.486 * [taylor]: Taking taylor expansion of (log n) in n 1.486 * [taylor]: Taking taylor expansion of n in n 1.486 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.486 * [taylor]: Taking taylor expansion of 0.5 in n 1.486 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.486 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.486 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.486 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.486 * [taylor]: Taking taylor expansion of 1.0 in n 1.486 * [taylor]: Taking taylor expansion of (log PI) in n 1.486 * [taylor]: Taking taylor expansion of PI in n 1.488 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.488 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.488 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.488 * [taylor]: Taking taylor expansion of 1.0 in n 1.488 * [taylor]: Taking taylor expansion of (log n) in n 1.488 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.489 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.489 * [taylor]: Taking taylor expansion of 1.0 in n 1.489 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.489 * [taylor]: Taking taylor expansion of 2.0 in n 1.543 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.543 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.543 * [taylor]: Taking taylor expansion of 0.125 in n 1.543 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.543 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.543 * [taylor]: Taking taylor expansion of (log n) in n 1.543 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.544 * [taylor]: Taking taylor expansion of 0.5 in n 1.544 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.544 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.544 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.544 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.544 * [taylor]: Taking taylor expansion of 1.0 in n 1.544 * [taylor]: Taking taylor expansion of (log PI) in n 1.544 * [taylor]: Taking taylor expansion of PI in n 1.546 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.546 * [taylor]: Taking taylor expansion of 1.0 in n 1.546 * [taylor]: Taking taylor expansion of (log n) in n 1.546 * [taylor]: Taking taylor expansion of n in n 1.546 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.546 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.546 * [taylor]: Taking taylor expansion of 1.0 in n 1.546 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.546 * [taylor]: Taking taylor expansion of 2.0 in n 1.551 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.551 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 1.551 * [taylor]: Taking taylor expansion of 0.25 in n 1.552 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 1.552 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 1.552 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.552 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.552 * [taylor]: Taking taylor expansion of 2.0 in n 1.552 * [taylor]: Taking taylor expansion of PI in n 1.553 * [taylor]: Taking taylor expansion of (log n) in n 1.553 * [taylor]: Taking taylor expansion of n in n 1.553 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 1.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.553 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.553 * [taylor]: Taking taylor expansion of 0.5 in n 1.553 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.553 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.553 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.553 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.553 * [taylor]: Taking taylor expansion of 1.0 in n 1.553 * [taylor]: Taking taylor expansion of (log PI) in n 1.553 * [taylor]: Taking taylor expansion of PI in n 1.555 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.555 * [taylor]: Taking taylor expansion of 2.0 in n 1.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.557 * [taylor]: Taking taylor expansion of 1.0 in n 1.557 * [taylor]: Taking taylor expansion of (log n) in n 1.557 * [taylor]: Taking taylor expansion of n in n 1.561 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.561 * [taylor]: Taking taylor expansion of 0.125 in n 1.561 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.561 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 1.561 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.561 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.561 * [taylor]: Taking taylor expansion of 2.0 in n 1.561 * [taylor]: Taking taylor expansion of PI in n 1.562 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.562 * [taylor]: Taking taylor expansion of 0.5 in n 1.562 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.562 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.562 * [taylor]: Taking taylor expansion of 1.0 in n 1.562 * [taylor]: Taking taylor expansion of (log PI) in n 1.562 * [taylor]: Taking taylor expansion of PI in n 1.564 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.564 * [taylor]: Taking taylor expansion of 1.0 in n 1.564 * [taylor]: Taking taylor expansion of (log n) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.564 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.564 * [taylor]: Taking taylor expansion of 1.0 in n 1.564 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.564 * [taylor]: Taking taylor expansion of 2.0 in n 1.601 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 1.602 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.602 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.602 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.602 * [taylor]: Taking taylor expansion of 0.5 in n 1.602 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.602 * [taylor]: Taking taylor expansion of 1.0 in n 1.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.602 * [taylor]: Taking taylor expansion of k in n 1.602 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.602 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 1.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 1.603 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.603 * [taylor]: Taking taylor expansion of 0.5 in n 1.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.603 * [taylor]: Taking taylor expansion of 1.0 in n 1.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.603 * [taylor]: Taking taylor expansion of k in n 1.603 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.603 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.603 * [taylor]: Taking taylor expansion of 2.0 in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.605 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.605 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.605 * [taylor]: Taking taylor expansion of 0.5 in k 1.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.606 * [taylor]: Taking taylor expansion of 1.0 in k 1.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.606 * [taylor]: Taking taylor expansion of k in k 1.606 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.606 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.606 * [taylor]: Taking taylor expansion of n in k 1.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.610 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.610 * [taylor]: Taking taylor expansion of 0.5 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)) in k 1.610 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.610 * [taylor]: Taking taylor expansion of 2.0 in k 1.610 * [taylor]: Taking taylor expansion of PI in k 1.613 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.613 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.614 * [taylor]: Taking taylor expansion of 0.5 in k 1.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.614 * [taylor]: Taking taylor expansion of 1.0 in k 1.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.614 * [taylor]: Taking taylor expansion of k in k 1.614 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.614 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.614 * [taylor]: Taking taylor expansion of n in k 1.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 1.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 1.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.615 * [taylor]: Taking taylor expansion of 0.5 in k 1.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.615 * [taylor]: Taking taylor expansion of 1.0 in k 1.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.615 * [taylor]: Taking taylor expansion of k in k 1.615 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.615 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.615 * [taylor]: Taking taylor expansion of 2.0 in k 1.615 * [taylor]: Taking taylor expansion of PI in k 1.619 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 1.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.619 * [taylor]: Taking taylor expansion of 0.5 in n 1.619 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.619 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.619 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.620 * [taylor]: Taking taylor expansion of 1.0 in n 1.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.620 * [taylor]: Taking taylor expansion of k in n 1.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 1.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 1.621 * [taylor]: Taking taylor expansion of 0.5 in n 1.621 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 1.621 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.621 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.621 * [taylor]: Taking taylor expansion of 2.0 in n 1.621 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.626 * [taylor]: Taking taylor expansion of 0 in n 1.635 * [taylor]: Taking taylor expansion of 0 in n 1.647 * [taylor]: Taking taylor expansion of 0 in n 1.649 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 1.649 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.649 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.649 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.649 * [taylor]: Taking taylor expansion of 0.5 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 (/ -1 n)) in n 1.649 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.649 * [taylor]: Taking taylor expansion of -1 in n 1.649 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 1.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.651 * [taylor]: Taking taylor expansion of 0.5 in n 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.651 * [taylor]: Taking taylor expansion of k in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.651 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.653 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.653 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.653 * [taylor]: Taking taylor expansion of 0.5 in k 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.653 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.653 * [taylor]: Taking taylor expansion of k in k 1.654 * [taylor]: Taking taylor expansion of 1.0 in k 1.654 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.654 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.654 * [taylor]: Taking taylor expansion of -1 in k 1.654 * [taylor]: Taking taylor expansion of n in k 1.655 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.655 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.655 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.655 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.655 * [taylor]: Taking taylor expansion of 0.5 in k 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.655 * [taylor]: Taking taylor expansion of k in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.655 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.655 * [taylor]: Taking taylor expansion of 2.0 in k 1.655 * [taylor]: Taking taylor expansion of PI in k 1.658 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.658 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.658 * [taylor]: Taking taylor expansion of 0.5 in k 1.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.658 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.658 * [taylor]: Taking taylor expansion of k in k 1.658 * [taylor]: Taking taylor expansion of 1.0 in k 1.658 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.659 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.659 * [taylor]: Taking taylor expansion of -1 in k 1.659 * [taylor]: Taking taylor expansion of n in k 1.659 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.659 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 1.659 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 1.659 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.659 * [taylor]: Taking taylor expansion of 0.5 in k 1.659 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.659 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.659 * [taylor]: Taking taylor expansion of k in k 1.660 * [taylor]: Taking taylor expansion of 1.0 in k 1.660 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.660 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.660 * [taylor]: Taking taylor expansion of 2.0 in k 1.660 * [taylor]: Taking taylor expansion of PI in k 1.664 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.664 * [taylor]: Taking taylor expansion of 0.5 in n 1.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.664 * [taylor]: Taking taylor expansion of k in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.664 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.664 * [taylor]: Taking taylor expansion of -1 in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 1.666 * [taylor]: Taking taylor expansion of 0.5 in n 1.666 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 1.666 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 1.666 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 1.666 * [taylor]: Taking taylor expansion of 2.0 in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.667 * [taylor]: Taking taylor expansion of k in n 1.667 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [taylor]: Taking taylor expansion of 0 in n 1.682 * [taylor]: Taking taylor expansion of 0 in n 1.698 * [taylor]: Taking taylor expansion of 0 in n 1.699 * * * [progress]: simplifying candidates 1.701 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (- (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 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(sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (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))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) 1.710 * * [simplify]: iteration 0 : 764 enodes (cost 1218 ) 1.721 * * [simplify]: iteration 1 : 2967 enodes (cost 1142 ) 1.766 * * [simplify]: iteration 2 : 5002 enodes (cost 1130 ) 1.772 * [simplify]: Simplified to: (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) n n (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 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k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 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) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (- (* +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))) (+ (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))))) (- (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI)))))))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow (exp (* 0.5 (- 1.0 k))) (+ (- (log -1) (log (/ -1 n))) (log (* 2.0 PI)))) 1.773 * * * [progress]: adding candidates to table 2.228 * * [progress]: iteration 3 / 4 2.229 * * * [progress]: picking best candidate 2.248 * * * * [pick]: Picked # 2.248 * * * [progress]: localizing error 2.264 * * * [progress]: generating rewritten candidates 2.264 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.268 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.272 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.275 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.306 * * * [progress]: generating series expansions 2.306 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.306 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 2.306 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.306 * [taylor]: Taking taylor expansion of 0.5 in k 2.306 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.306 * [taylor]: Taking taylor expansion of 1.0 in k 2.306 * [taylor]: Taking taylor expansion of k in k 2.306 * [taylor]: Taking taylor expansion of (log n) in k 2.306 * [taylor]: Taking taylor expansion of n in k 2.307 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.307 * [taylor]: Taking taylor expansion of 0.5 in n 2.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.307 * [taylor]: Taking taylor expansion of 1.0 in n 2.307 * [taylor]: Taking taylor expansion of k in n 2.307 * [taylor]: Taking taylor expansion of (log n) in n 2.307 * [taylor]: Taking taylor expansion of n in n 2.308 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.308 * [taylor]: Taking taylor expansion of 0.5 in n 2.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.308 * [taylor]: Taking taylor expansion of 1.0 in n 2.308 * [taylor]: Taking taylor expansion of k in n 2.308 * [taylor]: Taking taylor expansion of (log n) in n 2.308 * [taylor]: Taking taylor expansion of n in n 2.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (log n)))) in k 2.309 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (log n))) in k 2.309 * [taylor]: Taking taylor expansion of 0.5 in k 2.309 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 2.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.309 * [taylor]: Taking taylor expansion of 1.0 in k 2.309 * [taylor]: Taking taylor expansion of k in k 2.309 * [taylor]: Taking taylor expansion of (log n) in k 2.309 * [taylor]: Taking taylor expansion of n in k 2.312 * [taylor]: Taking taylor expansion of 0 in k 2.317 * [taylor]: Taking taylor expansion of 0 in k 2.321 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.321 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.321 * [taylor]: Taking taylor expansion of 0.5 in k 2.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.321 * [taylor]: Taking taylor expansion of 1.0 in k 2.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.321 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.321 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.321 * [taylor]: Taking taylor expansion of n in k 2.322 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.322 * [taylor]: Taking taylor expansion of 0.5 in n 2.322 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.322 * [taylor]: Taking taylor expansion of 1.0 in n 2.322 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.322 * [taylor]: Taking taylor expansion of k in n 2.322 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.323 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.323 * [taylor]: Taking taylor expansion of n in n 2.324 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.324 * [taylor]: Taking taylor expansion of 0.5 in n 2.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.324 * [taylor]: Taking taylor expansion of 1.0 in n 2.324 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.324 * [taylor]: Taking taylor expansion of k in n 2.324 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.324 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.324 * [taylor]: Taking taylor expansion of n in n 2.325 * [taylor]: Taking taylor expansion of (exp (* -0.5 (* (log n) (- 1.0 (/ 1 k))))) in k 2.325 * [taylor]: Taking taylor expansion of (* -0.5 (* (log n) (- 1.0 (/ 1 k)))) in k 2.325 * [taylor]: Taking taylor expansion of -0.5 in k 2.325 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 2.325 * [taylor]: Taking taylor expansion of (log n) in k 2.325 * [taylor]: Taking taylor expansion of n in k 2.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.325 * [taylor]: Taking taylor expansion of 1.0 in k 2.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.325 * [taylor]: Taking taylor expansion of k in k 2.329 * [taylor]: Taking taylor expansion of 0 in k 2.333 * [taylor]: Taking taylor expansion of 0 in k 2.339 * [taylor]: Taking taylor expansion of 0 in k 2.339 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.339 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.339 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.339 * [taylor]: Taking taylor expansion of 0.5 in k 2.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.339 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.339 * [taylor]: Taking taylor expansion of k in k 2.340 * [taylor]: Taking taylor expansion of 1.0 in k 2.340 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.340 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.340 * [taylor]: Taking taylor expansion of -1 in k 2.340 * [taylor]: Taking taylor expansion of n in k 2.340 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.340 * [taylor]: Taking taylor expansion of 0.5 in n 2.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.341 * [taylor]: Taking taylor expansion of k in n 2.341 * [taylor]: Taking taylor expansion of 1.0 in n 2.341 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.341 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.341 * [taylor]: Taking taylor expansion of -1 in n 2.341 * [taylor]: Taking taylor expansion of n in n 2.342 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.342 * [taylor]: Taking taylor expansion of 0.5 in n 2.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.342 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.343 * [taylor]: Taking taylor expansion of k in n 2.343 * [taylor]: Taking taylor expansion of 1.0 in n 2.343 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.343 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.343 * [taylor]: Taking taylor expansion of -1 in n 2.343 * [taylor]: Taking taylor expansion of n in n 2.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 2.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 2.344 * [taylor]: Taking taylor expansion of 0.5 in k 2.344 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 2.344 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 2.344 * [taylor]: Taking taylor expansion of (log -1) in k 2.344 * [taylor]: Taking taylor expansion of -1 in k 2.345 * [taylor]: Taking taylor expansion of (log n) in k 2.345 * [taylor]: Taking taylor expansion of n in k 2.345 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.345 * [taylor]: Taking taylor expansion of k in k 2.345 * [taylor]: Taking taylor expansion of 1.0 in k 2.350 * [taylor]: Taking taylor expansion of 0 in k 2.355 * [taylor]: Taking taylor expansion of 0 in k 2.366 * [taylor]: Taking taylor expansion of 0 in k 2.366 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.366 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 2.366 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.367 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.367 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.367 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.367 * [taylor]: Taking taylor expansion of 0.5 in k 2.367 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.367 * [taylor]: Taking taylor expansion of 1.0 in k 2.367 * [taylor]: Taking taylor expansion of k in k 2.367 * [taylor]: Taking taylor expansion of (log PI) in k 2.367 * [taylor]: Taking taylor expansion of PI in k 2.369 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.369 * [taylor]: Taking taylor expansion of 0.5 in k 2.369 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.369 * [taylor]: Taking taylor expansion of 1.0 in k 2.369 * [taylor]: Taking taylor expansion of k in k 2.369 * [taylor]: Taking taylor expansion of (log PI) in k 2.369 * [taylor]: Taking taylor expansion of PI in k 2.400 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.400 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.400 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.400 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.400 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.400 * [taylor]: Taking taylor expansion of 0.5 in k 2.400 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.400 * [taylor]: Taking taylor expansion of 1.0 in k 2.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.400 * [taylor]: Taking taylor expansion of k in k 2.400 * [taylor]: Taking taylor expansion of (log PI) in k 2.400 * [taylor]: Taking taylor expansion of PI in k 2.402 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.402 * [taylor]: Taking taylor expansion of 0.5 in k 2.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.402 * [taylor]: Taking taylor expansion of 1.0 in k 2.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.402 * [taylor]: Taking taylor expansion of k in k 2.402 * [taylor]: Taking taylor expansion of (log PI) in k 2.402 * [taylor]: Taking taylor expansion of PI in k 2.405 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.405 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.405 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.405 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.405 * [taylor]: Taking taylor expansion of 0.5 in k 2.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.405 * [taylor]: Taking taylor expansion of k in k 2.405 * [taylor]: Taking taylor expansion of 1.0 in k 2.405 * [taylor]: Taking taylor expansion of (log PI) in k 2.405 * [taylor]: Taking taylor expansion of PI in k 2.407 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.407 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.407 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.407 * [taylor]: Taking taylor expansion of 0.5 in k 2.407 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.407 * [taylor]: Taking taylor expansion of k in k 2.407 * [taylor]: Taking taylor expansion of 1.0 in k 2.408 * [taylor]: Taking taylor expansion of (log PI) in k 2.408 * [taylor]: Taking taylor expansion of PI in k 2.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.410 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.410 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.410 * [taylor]: Taking taylor expansion of 1.0 in k 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.411 * [taylor]: Taking taylor expansion of 1.0 in k 2.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.411 * [taylor]: Taking taylor expansion of k in k 2.422 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.422 * [taylor]: Taking taylor expansion of 1.0 in k 2.422 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.422 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.423 * [taylor]: Taking taylor expansion of 1.0 in k 2.423 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.433 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.433 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.433 * [taylor]: Taking taylor expansion of 1.0 in k 2.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.433 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.433 * [taylor]: Taking taylor expansion of -1 in k 2.433 * [taylor]: Taking taylor expansion of k in k 2.435 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.435 * [taylor]: Taking taylor expansion of 1.0 in k 2.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.435 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.435 * [taylor]: Taking taylor expansion of -1 in k 2.435 * [taylor]: Taking taylor expansion of k in k 2.451 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.451 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 2.451 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.451 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 2.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 2.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 2.451 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.451 * [taylor]: Taking taylor expansion of 0.5 in n 2.451 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.451 * [taylor]: Taking taylor expansion of 1.0 in n 2.451 * [taylor]: Taking taylor expansion of k in n 2.451 * [taylor]: Taking taylor expansion of (log PI) in n 2.451 * [taylor]: Taking taylor expansion of PI in n 2.452 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.452 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 2.452 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 2.452 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.453 * [taylor]: Taking taylor expansion of 0.5 in n 2.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.453 * [taylor]: Taking taylor expansion of 1.0 in n 2.453 * [taylor]: Taking taylor expansion of k in n 2.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.453 * [taylor]: Taking taylor expansion of 2.0 in n 2.453 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.454 * [taylor]: Taking taylor expansion of 0.5 in n 2.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.454 * [taylor]: Taking taylor expansion of 1.0 in n 2.454 * [taylor]: Taking taylor expansion of k in n 2.454 * [taylor]: Taking taylor expansion of (log n) in n 2.454 * [taylor]: Taking taylor expansion of n in n 2.454 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.454 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.454 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.454 * [taylor]: Taking taylor expansion of 0.5 in k 2.454 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.454 * [taylor]: Taking taylor expansion of 1.0 in k 2.454 * [taylor]: Taking taylor expansion of k in k 2.454 * [taylor]: Taking taylor expansion of (log PI) in k 2.455 * [taylor]: Taking taylor expansion of PI in k 2.457 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.457 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.457 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.457 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.457 * [taylor]: Taking taylor expansion of 0.5 in k 2.457 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.457 * [taylor]: Taking taylor expansion of 1.0 in k 2.457 * [taylor]: Taking taylor expansion of k in k 2.457 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.457 * [taylor]: Taking taylor expansion of 2.0 in k 2.459 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.460 * [taylor]: Taking taylor expansion of 0.5 in k 2.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.460 * [taylor]: Taking taylor expansion of 1.0 in k 2.460 * [taylor]: Taking taylor expansion of k in k 2.460 * [taylor]: Taking taylor expansion of (log n) in k 2.460 * [taylor]: Taking taylor expansion of n in k 2.460 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.461 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 2.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 2.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 2.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.461 * [taylor]: Taking taylor expansion of 0.5 in k 2.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.461 * [taylor]: Taking taylor expansion of 1.0 in k 2.461 * [taylor]: Taking taylor expansion of k in k 2.461 * [taylor]: Taking taylor expansion of (log PI) in k 2.461 * [taylor]: Taking taylor expansion of PI in k 2.463 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.463 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.463 * [taylor]: Taking taylor expansion of 0.5 in k 2.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.463 * [taylor]: Taking taylor expansion of 1.0 in k 2.463 * [taylor]: Taking taylor expansion of k in k 2.463 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.463 * [taylor]: Taking taylor expansion of 2.0 in k 2.466 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.466 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.466 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.466 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.466 * [taylor]: Taking taylor expansion of 0.5 in k 2.466 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.466 * [taylor]: Taking taylor expansion of 1.0 in k 2.466 * [taylor]: Taking taylor expansion of k in k 2.466 * [taylor]: Taking taylor expansion of (log n) in k 2.466 * [taylor]: Taking taylor expansion of n in k 2.468 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.468 * [taylor]: Taking taylor expansion of 0.5 in n 2.468 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.468 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.468 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.468 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.468 * [taylor]: Taking taylor expansion of 1.0 in n 2.468 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.468 * [taylor]: Taking taylor expansion of 2.0 in n 2.470 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.470 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.470 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (log n) in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.470 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.470 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.470 * [taylor]: Taking taylor expansion of 1.0 in n 2.470 * [taylor]: Taking taylor expansion of (log PI) in n 2.470 * [taylor]: Taking taylor expansion of PI in n 2.503 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.503 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 2.503 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.503 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.503 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.503 * [taylor]: Taking taylor expansion of 2.0 in n 2.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.505 * [taylor]: Taking taylor expansion of 1.0 in n 2.505 * [taylor]: Taking taylor expansion of (log n) in n 2.505 * [taylor]: Taking taylor expansion of n in n 2.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.505 * [taylor]: Taking taylor expansion of 1.0 in n 2.505 * [taylor]: Taking taylor expansion of (log PI) in n 2.505 * [taylor]: Taking taylor expansion of PI in n 2.511 * [taylor]: Taking taylor expansion of (log PI) in n 2.511 * [taylor]: Taking taylor expansion of PI in n 2.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.511 * [taylor]: Taking taylor expansion of 0.5 in n 2.511 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.511 * [taylor]: Taking taylor expansion of (log n) in n 2.511 * [taylor]: Taking taylor expansion of n in n 2.511 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.511 * [taylor]: Taking taylor expansion of 0.5 in n 2.511 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.511 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.511 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.511 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.511 * [taylor]: Taking taylor expansion of 1.0 in n 2.511 * [taylor]: Taking taylor expansion of (log PI) in n 2.511 * [taylor]: Taking taylor expansion of PI in n 2.513 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.513 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.513 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.513 * [taylor]: Taking taylor expansion of 1.0 in n 2.513 * [taylor]: Taking taylor expansion of (log n) in n 2.513 * [taylor]: Taking taylor expansion of n in n 2.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.514 * [taylor]: Taking taylor expansion of 1.0 in n 2.514 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.514 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.519 * [taylor]: Taking taylor expansion of 0.5 in n 2.519 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.519 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.519 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.520 * [taylor]: Taking taylor expansion of 0.5 in n 2.520 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.520 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.520 * [taylor]: Taking taylor expansion of 1.0 in n 2.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.520 * [taylor]: Taking taylor expansion of 2.0 in n 2.521 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.521 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.521 * [taylor]: Taking taylor expansion of 1.0 in n 2.521 * [taylor]: Taking taylor expansion of (log n) in n 2.521 * [taylor]: Taking taylor expansion of n in n 2.522 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (log PI) in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.596 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 2.596 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 2.596 * [taylor]: Taking taylor expansion of 0.25 in n 2.596 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 2.596 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 2.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.596 * [taylor]: Taking taylor expansion of 2.0 in n 2.596 * [taylor]: Taking taylor expansion of (log n) in n 2.596 * [taylor]: Taking taylor expansion of n in n 2.596 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.596 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.596 * [taylor]: Taking taylor expansion of 0.5 in n 2.596 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.596 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.597 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.597 * [taylor]: Taking taylor expansion of 1.0 in n 2.597 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.597 * [taylor]: Taking taylor expansion of 2.0 in n 2.598 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.598 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.598 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.598 * [taylor]: Taking taylor expansion of 1.0 in n 2.598 * [taylor]: Taking taylor expansion of (log PI) in n 2.598 * [taylor]: Taking taylor expansion of PI in n 2.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.600 * [taylor]: Taking taylor expansion of 1.0 in n 2.600 * [taylor]: Taking taylor expansion of (log n) in n 2.600 * [taylor]: Taking taylor expansion of n in n 2.604 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 2.604 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 2.604 * [taylor]: Taking taylor expansion of 0.25 in n 2.604 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 2.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.604 * [taylor]: Taking taylor expansion of 0.5 in n 2.604 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.604 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.604 * [taylor]: Taking taylor expansion of 1.0 in n 2.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.604 * [taylor]: Taking taylor expansion of 2.0 in n 2.606 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.606 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.606 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.606 * [taylor]: Taking taylor expansion of 1.0 in n 2.606 * [taylor]: Taking taylor expansion of (log PI) in n 2.606 * [taylor]: Taking taylor expansion of PI in n 2.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.608 * [taylor]: Taking taylor expansion of 1.0 in n 2.608 * [taylor]: Taking taylor expansion of (log n) in n 2.608 * [taylor]: Taking taylor expansion of n in n 2.617 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 2.617 * [taylor]: Taking taylor expansion of (log n) in n 2.617 * [taylor]: Taking taylor expansion of n in n 2.617 * [taylor]: Taking taylor expansion of (log PI) in n 2.617 * [taylor]: Taking taylor expansion of PI in n 2.618 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 2.618 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.618 * [taylor]: Taking taylor expansion of 0.25 in n 2.618 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.618 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 2.618 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.618 * [taylor]: Taking taylor expansion of 2.0 in n 2.618 * [taylor]: Taking taylor expansion of (log PI) in n 2.618 * [taylor]: Taking taylor expansion of PI in n 2.618 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.618 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.618 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.618 * [taylor]: Taking taylor expansion of 0.5 in n 2.618 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.618 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.618 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.618 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.618 * [taylor]: Taking taylor expansion of 1.0 in n 2.618 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.619 * [taylor]: Taking taylor expansion of 2.0 in n 2.620 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.620 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.620 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.620 * [taylor]: Taking taylor expansion of 1.0 in n 2.620 * [taylor]: Taking taylor expansion of (log n) in n 2.620 * [taylor]: Taking taylor expansion of n in n 2.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.621 * [taylor]: Taking taylor expansion of 1.0 in n 2.621 * [taylor]: Taking taylor expansion of (log PI) in n 2.621 * [taylor]: Taking taylor expansion of PI in n 2.626 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 2.626 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.626 * [taylor]: Taking taylor expansion of 0.125 in n 2.626 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.626 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 2.626 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.626 * [taylor]: Taking taylor expansion of 2.0 in n 2.627 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.627 * [taylor]: Taking taylor expansion of 0.5 in n 2.627 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of (log PI) in n 2.627 * [taylor]: Taking taylor expansion of PI in n 2.629 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.629 * [taylor]: Taking taylor expansion of 1.0 in n 2.629 * [taylor]: Taking taylor expansion of (log n) in n 2.629 * [taylor]: Taking taylor expansion of n in n 2.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.629 * [taylor]: Taking taylor expansion of 1.0 in n 2.629 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.629 * [taylor]: Taking taylor expansion of 2.0 in n 2.634 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 2.634 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 2.635 * [taylor]: Taking taylor expansion of 0.125 in n 2.635 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 2.635 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.635 * [taylor]: Taking taylor expansion of 0.5 in n 2.635 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.635 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.635 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.635 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.635 * [taylor]: Taking taylor expansion of 1.0 in n 2.635 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.635 * [taylor]: Taking taylor expansion of 2.0 in n 2.636 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.636 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.636 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.636 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.637 * [taylor]: Taking taylor expansion of 1.0 in n 2.637 * [taylor]: Taking taylor expansion of (log n) in n 2.637 * [taylor]: Taking taylor expansion of n in n 2.637 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.637 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.637 * [taylor]: Taking taylor expansion of 1.0 in n 2.637 * [taylor]: Taking taylor expansion of (log PI) in n 2.637 * [taylor]: Taking taylor expansion of PI in n 2.643 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 2.643 * [taylor]: Taking taylor expansion of (log PI) in n 2.643 * [taylor]: Taking taylor expansion of PI in n 2.643 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 2.643 * [taylor]: Taking taylor expansion of 0.125 in n 2.643 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 2.643 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.643 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.643 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.643 * [taylor]: Taking taylor expansion of 0.5 in n 2.643 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.643 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.643 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.643 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.643 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.643 * [taylor]: Taking taylor expansion of 1.0 in n 2.643 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.643 * [taylor]: Taking taylor expansion of 2.0 in n 2.645 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.645 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.645 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.645 * [taylor]: Taking taylor expansion of 1.0 in n 2.645 * [taylor]: Taking taylor expansion of (log PI) in n 2.645 * [taylor]: Taking taylor expansion of PI in n 2.647 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.647 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.647 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.647 * [taylor]: Taking taylor expansion of 1.0 in n 2.647 * [taylor]: Taking taylor expansion of (log n) in n 2.647 * [taylor]: Taking taylor expansion of n in n 2.651 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.651 * [taylor]: Taking taylor expansion of (log n) in n 2.651 * [taylor]: Taking taylor expansion of n in n 2.724 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.724 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.724 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 2.724 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 2.724 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 2.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.724 * [taylor]: Taking taylor expansion of 0.5 in n 2.724 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.724 * [taylor]: Taking taylor expansion of 1.0 in n 2.724 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.724 * [taylor]: Taking taylor expansion of k in n 2.724 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.724 * [taylor]: Taking taylor expansion of 2.0 in n 2.725 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 2.725 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.725 * [taylor]: Taking taylor expansion of 0.5 in n 2.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.725 * [taylor]: Taking taylor expansion of 1.0 in n 2.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.725 * [taylor]: Taking taylor expansion of k in n 2.725 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.725 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.725 * [taylor]: Taking taylor expansion of n in n 2.726 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 2.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 2.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 2.727 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.727 * [taylor]: Taking taylor expansion of 0.5 in n 2.727 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.727 * [taylor]: Taking taylor expansion of 1.0 in n 2.727 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.727 * [taylor]: Taking taylor expansion of k in n 2.727 * [taylor]: Taking taylor expansion of (log PI) in n 2.727 * [taylor]: Taking taylor expansion of PI in n 2.728 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.728 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.728 * [taylor]: Taking taylor expansion of 0.5 in k 2.728 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.728 * [taylor]: Taking taylor expansion of 1.0 in k 2.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.728 * [taylor]: Taking taylor expansion of k in k 2.728 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.728 * [taylor]: Taking taylor expansion of 2.0 in k 2.730 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.730 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.730 * [taylor]: Taking taylor expansion of 0.5 in k 2.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.730 * [taylor]: Taking taylor expansion of 1.0 in k 2.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.730 * [taylor]: Taking taylor expansion of k in k 2.730 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.730 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.730 * [taylor]: Taking taylor expansion of n in k 2.731 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.731 * [taylor]: Taking taylor expansion of 0.5 in k 2.731 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.731 * [taylor]: Taking taylor expansion of 1.0 in k 2.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.731 * [taylor]: Taking taylor expansion of k in k 2.732 * [taylor]: Taking taylor expansion of (log PI) in k 2.732 * [taylor]: Taking taylor expansion of PI in k 2.734 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.734 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.734 * [taylor]: Taking taylor expansion of 0.5 in k 2.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.734 * [taylor]: Taking taylor expansion of 1.0 in k 2.734 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.734 * [taylor]: Taking taylor expansion of k in k 2.734 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.734 * [taylor]: Taking taylor expansion of 2.0 in k 2.736 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 2.736 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.736 * [taylor]: Taking taylor expansion of 0.5 in k 2.736 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.736 * [taylor]: Taking taylor expansion of 1.0 in k 2.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.736 * [taylor]: Taking taylor expansion of k in k 2.736 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.736 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.736 * [taylor]: Taking taylor expansion of n in k 2.737 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 2.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 2.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 2.737 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.737 * [taylor]: Taking taylor expansion of 0.5 in k 2.737 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.737 * [taylor]: Taking taylor expansion of 1.0 in k 2.737 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.737 * [taylor]: Taking taylor expansion of k in k 2.738 * [taylor]: Taking taylor expansion of (log PI) in k 2.738 * [taylor]: Taking taylor expansion of PI in k 2.741 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.741 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.741 * [taylor]: Taking taylor expansion of 0.5 in n 2.741 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.741 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.741 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.741 * [taylor]: Taking taylor expansion of n in n 2.741 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.741 * [taylor]: Taking taylor expansion of 1.0 in n 2.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.741 * [taylor]: Taking taylor expansion of k in n 2.742 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 2.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 2.742 * [taylor]: Taking taylor expansion of 0.5 in n 2.742 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 2.742 * [taylor]: Taking taylor expansion of (log PI) in n 2.742 * [taylor]: Taking taylor expansion of PI in n 2.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.743 * [taylor]: Taking taylor expansion of 1.0 in n 2.743 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.743 * [taylor]: Taking taylor expansion of k in n 2.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.744 * [taylor]: Taking taylor expansion of 0.5 in n 2.744 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.744 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.744 * [taylor]: Taking taylor expansion of 2.0 in n 2.744 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.744 * [taylor]: Taking taylor expansion of 1.0 in n 2.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.744 * [taylor]: Taking taylor expansion of k in n 2.748 * [taylor]: Taking taylor expansion of 0 in n 2.760 * [taylor]: Taking taylor expansion of 0 in n 2.777 * [taylor]: Taking taylor expansion of 0 in n 2.778 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 2.778 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 2.778 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.778 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.778 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.778 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.778 * [taylor]: Taking taylor expansion of 0.5 in n 2.778 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.778 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.778 * [taylor]: Taking taylor expansion of k in n 2.778 * [taylor]: Taking taylor expansion of 1.0 in n 2.778 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.778 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.778 * [taylor]: Taking taylor expansion of -1 in n 2.778 * [taylor]: Taking taylor expansion of n in n 2.780 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.780 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 2.780 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 2.780 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 2.780 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.780 * [taylor]: Taking taylor expansion of 0.5 in n 2.780 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.780 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.780 * [taylor]: Taking taylor expansion of k in n 2.780 * [taylor]: Taking taylor expansion of 1.0 in n 2.780 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.780 * [taylor]: Taking taylor expansion of 2.0 in n 2.781 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 2.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 2.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 2.781 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.781 * [taylor]: Taking taylor expansion of 0.5 in n 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.781 * [taylor]: Taking taylor expansion of k in n 2.781 * [taylor]: Taking taylor expansion of 1.0 in n 2.781 * [taylor]: Taking taylor expansion of (log PI) in n 2.781 * [taylor]: Taking taylor expansion of PI in n 2.782 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.782 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.782 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.782 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.782 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.782 * [taylor]: Taking taylor expansion of 0.5 in k 2.782 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.782 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.782 * [taylor]: Taking taylor expansion of k in k 2.783 * [taylor]: Taking taylor expansion of 1.0 in k 2.783 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.783 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.783 * [taylor]: Taking taylor expansion of -1 in k 2.783 * [taylor]: Taking taylor expansion of n in k 2.783 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.783 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.784 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.784 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.784 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.784 * [taylor]: Taking taylor expansion of 0.5 in k 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.784 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.784 * [taylor]: Taking taylor expansion of k in k 2.784 * [taylor]: Taking taylor expansion of 1.0 in k 2.784 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.784 * [taylor]: Taking taylor expansion of 2.0 in k 2.785 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.786 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.786 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.786 * [taylor]: Taking taylor expansion of 0.5 in k 2.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.786 * [taylor]: Taking taylor expansion of k in k 2.786 * [taylor]: Taking taylor expansion of 1.0 in k 2.786 * [taylor]: Taking taylor expansion of (log PI) in k 2.786 * [taylor]: Taking taylor expansion of PI in k 2.788 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 2.788 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.788 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.788 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.788 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.788 * [taylor]: Taking taylor expansion of 0.5 in k 2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.788 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.788 * [taylor]: Taking taylor expansion of k in k 2.788 * [taylor]: Taking taylor expansion of 1.0 in k 2.788 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.788 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.793 * [taylor]: Taking taylor expansion of -1 in k 2.793 * [taylor]: Taking taylor expansion of n in k 2.793 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.793 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.793 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.794 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.794 * [taylor]: Taking taylor expansion of 0.5 in k 2.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.794 * [taylor]: Taking taylor expansion of k in k 2.794 * [taylor]: Taking taylor expansion of 1.0 in k 2.794 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.794 * [taylor]: Taking taylor expansion of 2.0 in k 2.795 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 2.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 2.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 2.796 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.796 * [taylor]: Taking taylor expansion of 0.5 in k 2.796 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.796 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.796 * [taylor]: Taking taylor expansion of k in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [taylor]: Taking taylor expansion of (log PI) in k 2.796 * [taylor]: Taking taylor expansion of PI in k 2.799 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 2.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 2.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 2.799 * [taylor]: Taking taylor expansion of 0.5 in n 2.799 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 2.799 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.799 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.799 * [taylor]: Taking taylor expansion of k in n 2.799 * [taylor]: Taking taylor expansion of 1.0 in n 2.799 * [taylor]: Taking taylor expansion of (log PI) in n 2.799 * [taylor]: Taking taylor expansion of PI in n 2.800 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.800 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.800 * [taylor]: Taking taylor expansion of 0.5 in n 2.801 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.801 * [taylor]: Taking taylor expansion of k in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.801 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.801 * [taylor]: Taking taylor expansion of -1 in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.803 * [taylor]: Taking taylor expansion of 0.5 in n 2.803 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.803 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.803 * [taylor]: Taking taylor expansion of 2.0 in n 2.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.803 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.803 * [taylor]: Taking taylor expansion of k in n 2.803 * [taylor]: Taking taylor expansion of 1.0 in n 2.808 * [taylor]: Taking taylor expansion of 0 in n 2.821 * [taylor]: Taking taylor expansion of 0 in n 2.838 * [taylor]: Taking taylor expansion of 0 in n 2.839 * * * [progress]: simplifying candidates 2.842 * [simplify]: Simplifying using # : (* (log n) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)) (pow n (/ k 2.0)) (pow n (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow n (sqrt (/ (- 1.0 k) 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow n (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow n (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow n (/ (sqrt (- 1.0 k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow n (/ 1 (sqrt 2.0))) (pow n (/ 1 1)) (pow n 1) (pow n (- 1.0 k)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0)) (pow (cbrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))) (exp (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0)))) (cbrt (pow n (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ 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(- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (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) (* (* 2.0 PI) n) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (* (/ (- 1.0 k) 2.0) (+ (+ (log 2.0) (log PI)) (log n))) (exp (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ 1.0 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.5))) (pow n 0.5)) (* 0.5 (* (* k (log n)) (pow (pow n 1.0) 0.5)))) (pow (/ 1 n) (* -0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log PI) 2)) (pow (pow PI 1.0) 0.5))) (pow PI 0.5)) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5)))) (pow PI (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k))) (+ (- (* +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))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n)))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log n) 2)))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (+ (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (+ (* (log 2.0) (- 1.0 k)) (* (- 1.0 k) (log PI)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (+ (* 0.5 (* (log 2.0) (- 1.0 k))) (* 0.5 (* (- 1.0 k) (log PI)))))) 2.937 * * * [progress]: adding candidates to table 3.419 * * [progress]: iteration 4 / 4 3.419 * * * [progress]: picking best candidate 3.440 * * * * [pick]: Picked # 3.440 * * * [progress]: localizing error 3.457 * * * [progress]: generating rewritten candidates 3.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.477 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.483 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 3.499 * * * [progress]: generating series expansions 3.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.499 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.499 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.499 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.499 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.499 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.499 * [taylor]: Taking taylor expansion of 0.25 in k 3.499 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.499 * [taylor]: Taking taylor expansion of 1.0 in k 3.499 * [taylor]: Taking taylor expansion of k in k 3.499 * [taylor]: Taking taylor expansion of (log n) in k 3.499 * [taylor]: Taking taylor expansion of n in k 3.500 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.500 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.500 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.500 * [taylor]: Taking taylor expansion of 0.25 in n 3.500 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.501 * [taylor]: Taking taylor expansion of 1.0 in n 3.501 * [taylor]: Taking taylor expansion of k in n 3.501 * [taylor]: Taking taylor expansion of (log n) in n 3.501 * [taylor]: Taking taylor expansion of n in n 3.501 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.501 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.501 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.501 * [taylor]: Taking taylor expansion of 0.25 in n 3.501 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.501 * [taylor]: Taking taylor expansion of 1.0 in n 3.501 * [taylor]: Taking taylor expansion of k in n 3.501 * [taylor]: Taking taylor expansion of (log n) in n 3.501 * [taylor]: Taking taylor expansion of n in n 3.502 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.502 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.502 * [taylor]: Taking taylor expansion of 0.25 in k 3.502 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.502 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.502 * [taylor]: Taking taylor expansion of 1.0 in k 3.502 * [taylor]: Taking taylor expansion of k in k 3.502 * [taylor]: Taking taylor expansion of (log n) in k 3.502 * [taylor]: Taking taylor expansion of n in k 3.505 * [taylor]: Taking taylor expansion of 0 in k 3.510 * [taylor]: Taking taylor expansion of 0 in k 3.514 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.514 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.514 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.514 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.514 * [taylor]: Taking taylor expansion of 0.25 in k 3.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.514 * [taylor]: Taking taylor expansion of 1.0 in k 3.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.514 * [taylor]: Taking taylor expansion of k in k 3.515 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.515 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.515 * [taylor]: Taking taylor expansion of n in k 3.516 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.516 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.516 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.516 * [taylor]: Taking taylor expansion of 0.25 in n 3.516 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.516 * [taylor]: Taking taylor expansion of 1.0 in n 3.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.516 * [taylor]: Taking taylor expansion of k in n 3.516 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.516 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.516 * [taylor]: Taking taylor expansion of n in n 3.517 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.517 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.517 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.517 * [taylor]: Taking taylor expansion of 0.25 in n 3.517 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.517 * [taylor]: Taking taylor expansion of 1.0 in n 3.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.517 * [taylor]: Taking taylor expansion of k in n 3.517 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.517 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.517 * [taylor]: Taking taylor expansion of n in n 3.518 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.518 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.518 * [taylor]: Taking taylor expansion of -0.25 in k 3.518 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.518 * [taylor]: Taking taylor expansion of (log n) in k 3.518 * [taylor]: Taking taylor expansion of n in k 3.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.518 * [taylor]: Taking taylor expansion of 1.0 in k 3.518 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.518 * [taylor]: Taking taylor expansion of k in k 3.522 * [taylor]: Taking taylor expansion of 0 in k 3.526 * [taylor]: Taking taylor expansion of 0 in k 3.532 * [taylor]: Taking taylor expansion of 0 in k 3.532 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.532 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.532 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.532 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.532 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.532 * [taylor]: Taking taylor expansion of 0.25 in k 3.532 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.532 * [taylor]: Taking taylor expansion of k in k 3.533 * [taylor]: Taking taylor expansion of 1.0 in k 3.533 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.533 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.533 * [taylor]: Taking taylor expansion of -1 in k 3.533 * [taylor]: Taking taylor expansion of n in k 3.533 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.534 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.534 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.534 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.534 * [taylor]: Taking taylor expansion of 0.25 in n 3.534 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.534 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.534 * [taylor]: Taking taylor expansion of k in n 3.534 * [taylor]: Taking taylor expansion of 1.0 in n 3.534 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.534 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.534 * [taylor]: Taking taylor expansion of -1 in n 3.534 * [taylor]: Taking taylor expansion of n in n 3.535 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.536 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.536 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.536 * [taylor]: Taking taylor expansion of 0.25 in n 3.536 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.536 * [taylor]: Taking taylor expansion of k in n 3.536 * [taylor]: Taking taylor expansion of 1.0 in n 3.536 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.536 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.536 * [taylor]: Taking taylor expansion of -1 in n 3.536 * [taylor]: Taking taylor expansion of n in n 3.537 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.537 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.538 * [taylor]: Taking taylor expansion of 0.25 in k 3.538 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.538 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.538 * [taylor]: Taking taylor expansion of (log -1) in k 3.538 * [taylor]: Taking taylor expansion of -1 in k 3.538 * [taylor]: Taking taylor expansion of (log n) in k 3.538 * [taylor]: Taking taylor expansion of n in k 3.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.538 * [taylor]: Taking taylor expansion of k in k 3.538 * [taylor]: Taking taylor expansion of 1.0 in k 3.543 * [taylor]: Taking taylor expansion of 0 in k 3.554 * [taylor]: Taking taylor expansion of 0 in k 3.561 * [taylor]: Taking taylor expansion of 0 in k 3.561 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.562 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.562 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.562 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.562 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.562 * [taylor]: Taking taylor expansion of 0.25 in k 3.562 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.562 * [taylor]: Taking taylor expansion of 1.0 in k 3.562 * [taylor]: Taking taylor expansion of k in k 3.562 * [taylor]: Taking taylor expansion of (log n) in k 3.562 * [taylor]: Taking taylor expansion of n in k 3.563 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.563 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.563 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.563 * [taylor]: Taking taylor expansion of 0.25 in n 3.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.563 * [taylor]: Taking taylor expansion of 1.0 in n 3.563 * [taylor]: Taking taylor expansion of k in n 3.563 * [taylor]: Taking taylor expansion of (log n) in n 3.563 * [taylor]: Taking taylor expansion of n in n 3.563 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.563 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.563 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.563 * [taylor]: Taking taylor expansion of 0.25 in n 3.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.564 * [taylor]: Taking taylor expansion of 1.0 in n 3.564 * [taylor]: Taking taylor expansion of k in n 3.564 * [taylor]: Taking taylor expansion of (log n) in n 3.564 * [taylor]: Taking taylor expansion of n in n 3.564 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.564 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.564 * [taylor]: Taking taylor expansion of 0.25 in k 3.564 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.564 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.564 * [taylor]: Taking taylor expansion of 1.0 in k 3.564 * [taylor]: Taking taylor expansion of k in k 3.564 * [taylor]: Taking taylor expansion of (log n) in k 3.564 * [taylor]: Taking taylor expansion of n in k 3.567 * [taylor]: Taking taylor expansion of 0 in k 3.572 * [taylor]: Taking taylor expansion of 0 in k 3.576 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.576 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.576 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.576 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.576 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.576 * [taylor]: Taking taylor expansion of 0.25 in k 3.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.576 * [taylor]: Taking taylor expansion of 1.0 in k 3.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.576 * [taylor]: Taking taylor expansion of k in k 3.576 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.576 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.576 * [taylor]: Taking taylor expansion of n in k 3.577 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.577 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.577 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.577 * [taylor]: Taking taylor expansion of 0.25 in n 3.577 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.577 * [taylor]: Taking taylor expansion of 1.0 in n 3.577 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.577 * [taylor]: Taking taylor expansion of k in n 3.577 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.578 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.578 * [taylor]: Taking taylor expansion of n in n 3.578 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.579 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.579 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.579 * [taylor]: Taking taylor expansion of 0.25 in n 3.579 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.579 * [taylor]: Taking taylor expansion of 1.0 in n 3.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.579 * [taylor]: Taking taylor expansion of k in n 3.579 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.579 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.579 * [taylor]: Taking taylor expansion of n in n 3.580 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.580 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.580 * [taylor]: Taking taylor expansion of -0.25 in k 3.580 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.580 * [taylor]: Taking taylor expansion of (log n) in k 3.580 * [taylor]: Taking taylor expansion of n in k 3.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.580 * [taylor]: Taking taylor expansion of 1.0 in k 3.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.580 * [taylor]: Taking taylor expansion of k in k 3.584 * [taylor]: Taking taylor expansion of 0 in k 3.588 * [taylor]: Taking taylor expansion of 0 in k 3.593 * [taylor]: Taking taylor expansion of 0 in k 3.594 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.594 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.594 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.594 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.594 * [taylor]: Taking taylor expansion of 0.25 in k 3.594 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.594 * [taylor]: Taking taylor expansion of k in k 3.594 * [taylor]: Taking taylor expansion of 1.0 in k 3.594 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.594 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.594 * [taylor]: Taking taylor expansion of -1 in k 3.594 * [taylor]: Taking taylor expansion of n in k 3.595 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.595 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.595 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.595 * [taylor]: Taking taylor expansion of 0.25 in n 3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.595 * [taylor]: Taking taylor expansion of k in n 3.595 * [taylor]: Taking taylor expansion of 1.0 in n 3.595 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.595 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.595 * [taylor]: Taking taylor expansion of -1 in n 3.595 * [taylor]: Taking taylor expansion of n in n 3.597 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.597 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.597 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.597 * [taylor]: Taking taylor expansion of 0.25 in n 3.597 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.597 * [taylor]: Taking taylor expansion of k in n 3.597 * [taylor]: Taking taylor expansion of 1.0 in n 3.597 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.597 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.597 * [taylor]: Taking taylor expansion of -1 in n 3.597 * [taylor]: Taking taylor expansion of n in n 3.599 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.599 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.599 * [taylor]: Taking taylor expansion of 0.25 in k 3.599 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.599 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.599 * [taylor]: Taking taylor expansion of (log -1) in k 3.599 * [taylor]: Taking taylor expansion of -1 in k 3.599 * [taylor]: Taking taylor expansion of (log n) in k 3.599 * [taylor]: Taking taylor expansion of n in k 3.599 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.599 * [taylor]: Taking taylor expansion of k in k 3.600 * [taylor]: Taking taylor expansion of 1.0 in k 3.605 * [taylor]: Taking taylor expansion of 0 in k 3.609 * [taylor]: Taking taylor expansion of 0 in k 3.616 * [taylor]: Taking taylor expansion of 0 in k 3.616 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.617 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.617 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.617 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.617 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.617 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.617 * [taylor]: Taking taylor expansion of 0.5 in k 3.617 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.617 * [taylor]: Taking taylor expansion of 1.0 in k 3.617 * [taylor]: Taking taylor expansion of k in k 3.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.617 * [taylor]: Taking taylor expansion of 2.0 in k 3.617 * [taylor]: Taking taylor expansion of PI in k 3.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.621 * [taylor]: Taking taylor expansion of 0.5 in k 3.621 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.621 * [taylor]: Taking taylor expansion of 1.0 in k 3.621 * [taylor]: Taking taylor expansion of k in k 3.621 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.621 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.621 * [taylor]: Taking taylor expansion of 2.0 in k 3.621 * [taylor]: Taking taylor expansion of PI in k 3.691 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.691 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.691 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.691 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.691 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.691 * [taylor]: Taking taylor expansion of 0.5 in k 3.691 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.691 * [taylor]: Taking taylor expansion of 1.0 in k 3.691 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.691 * [taylor]: Taking taylor expansion of k in k 3.692 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.692 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.692 * [taylor]: Taking taylor expansion of 2.0 in k 3.692 * [taylor]: Taking taylor expansion of PI in k 3.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.695 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.695 * [taylor]: Taking taylor expansion of 0.5 in k 3.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.695 * [taylor]: Taking taylor expansion of 1.0 in k 3.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.695 * [taylor]: Taking taylor expansion of k in k 3.696 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.696 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.696 * [taylor]: Taking taylor expansion of 2.0 in k 3.696 * [taylor]: Taking taylor expansion of PI in k 3.701 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.701 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.701 * [taylor]: Taking taylor expansion of 0.5 in k 3.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.701 * [taylor]: Taking taylor expansion of k in k 3.701 * [taylor]: Taking taylor expansion of 1.0 in k 3.701 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.701 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.701 * [taylor]: Taking taylor expansion of 2.0 in k 3.701 * [taylor]: Taking taylor expansion of PI in k 3.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.704 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.704 * [taylor]: Taking taylor expansion of 0.5 in k 3.704 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.704 * [taylor]: Taking taylor expansion of k in k 3.705 * [taylor]: Taking taylor expansion of 1.0 in k 3.705 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.705 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.705 * [taylor]: Taking taylor expansion of 2.0 in k 3.705 * [taylor]: Taking taylor expansion of PI in k 3.709 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.709 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.709 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.709 * [taylor]: Taking taylor expansion of 1.0 in k 3.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.709 * [taylor]: Taking taylor expansion of k in k 3.711 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.711 * [taylor]: Taking taylor expansion of 1.0 in k 3.711 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.711 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.711 * [taylor]: Taking taylor expansion of k in k 3.722 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.722 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.722 * [taylor]: Taking taylor expansion of 1.0 in k 3.722 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.722 * [taylor]: Taking taylor expansion of k in k 3.723 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.723 * [taylor]: Taking taylor expansion of 1.0 in k 3.723 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.723 * [taylor]: Taking taylor expansion of k in k 3.737 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.737 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.737 * [taylor]: Taking taylor expansion of 1.0 in k 3.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.737 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.737 * [taylor]: Taking taylor expansion of -1 in k 3.737 * [taylor]: Taking taylor expansion of k in k 3.739 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.739 * [taylor]: Taking taylor expansion of 1.0 in k 3.739 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.739 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.739 * [taylor]: Taking taylor expansion of -1 in k 3.739 * [taylor]: Taking taylor expansion of k in k 3.751 * * * [progress]: simplifying candidates 3.754 * [simplify]: Simplifying using # : (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow n (/ (/ (- 1.0 k) 2.0) 2))) (exp 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(pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow 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(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) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* +nan.0 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))))) 3.763 * * [simplify]: iteration 0 : 876 enodes (cost 1586 ) 3.776 * * [simplify]: iteration 1 : 3424 enodes (cost 1544 ) 3.813 * * [simplify]: iteration 2 : 5001 enodes (cost 1536 ) 3.820 * [simplify]: Simplified to: (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) 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(pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (* 2.0 PI) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (+ (- (* +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))) 3.822 * * * [progress]: adding candidates to table 4.649 * [progress]: [Phase 3 of 3] Extracting. 4.649 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 4.652 * * * [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) 4.652 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 4.691 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 4.710 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 4.753 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 4.791 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 4.828 * * * [regime]: Found split indices: #