13.569 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.143 * * * [progress]: [2/2] Setting up program. 0.146 * [progress]: [Phase 2 of 3] Improving. 0.146 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.153 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.155 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.156 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.160 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.166 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.190 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.190 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.191 * * [progress]: iteration 1 / 4 0.191 * * * [progress]: picking best candidate 0.193 * * * * [pick]: Picked # 0.193 * * * [progress]: localizing error 0.207 * * * [progress]: generating rewritten candidates 0.207 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.226 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.243 * * * [progress]: generating series expansions 0.243 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.243 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.243 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.243 * [taylor]: Taking taylor expansion of 1.0 in k 0.243 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.243 * [taylor]: Taking taylor expansion of k in k 0.245 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.245 * [taylor]: Taking taylor expansion of 1.0 in k 0.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.245 * [taylor]: Taking taylor expansion of k in k 0.257 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.257 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.257 * [taylor]: Taking taylor expansion of 1.0 in k 0.257 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.257 * [taylor]: Taking taylor expansion of k in k 0.258 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.258 * [taylor]: Taking taylor expansion of 1.0 in k 0.258 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.258 * [taylor]: Taking taylor expansion of k in k 0.270 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.270 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.270 * [taylor]: Taking taylor expansion of 1.0 in k 0.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.270 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.270 * [taylor]: Taking taylor expansion of -1 in k 0.270 * [taylor]: Taking taylor expansion of k in k 0.271 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.271 * [taylor]: Taking taylor expansion of 1.0 in k 0.271 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.272 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.272 * [taylor]: Taking taylor expansion of -1 in k 0.272 * [taylor]: Taking taylor expansion of k in k 0.290 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.290 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.290 * [taylor]: Taking taylor expansion of (* n PI) in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.291 * [taylor]: Taking taylor expansion of (* n PI) in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.304 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.304 * [taylor]: Taking taylor expansion of 2.0 in n 0.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.304 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.304 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.304 * [taylor]: Taking taylor expansion of 2.0 in n 0.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.304 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.314 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.314 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.314 * [taylor]: Taking taylor expansion of -2.0 in n 0.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.314 * [taylor]: Taking taylor expansion of -2.0 in n 0.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.323 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.324 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.324 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.324 * [taylor]: Taking taylor expansion of 0.5 in k 0.324 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.324 * [taylor]: Taking taylor expansion of 1.0 in k 0.324 * [taylor]: Taking taylor expansion of k in k 0.324 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.324 * [taylor]: Taking taylor expansion of 2.0 in k 0.324 * [taylor]: Taking taylor expansion of (* n PI) in k 0.324 * [taylor]: Taking taylor expansion of n in k 0.324 * [taylor]: Taking taylor expansion of PI in k 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.325 * [taylor]: Taking taylor expansion of 2.0 in n 0.325 * [taylor]: Taking taylor expansion of (* n PI) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (* n PI) in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.337 * [taylor]: Taking taylor expansion of 0.5 in k 0.337 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.337 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.337 * [taylor]: Taking taylor expansion of 1.0 in k 0.337 * [taylor]: Taking taylor expansion of k in k 0.337 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.337 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.337 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.337 * [taylor]: Taking taylor expansion of 2.0 in k 0.337 * [taylor]: Taking taylor expansion of PI in k 0.338 * [taylor]: Taking taylor expansion of (log n) in k 0.338 * [taylor]: Taking taylor expansion of n in k 0.348 * [taylor]: Taking taylor expansion of 0 in k 0.365 * [taylor]: Taking taylor expansion of 0 in k 0.391 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.391 * [taylor]: Taking taylor expansion of 0.5 in k 0.391 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.391 * [taylor]: Taking taylor expansion of 1.0 in k 0.391 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.391 * [taylor]: Taking taylor expansion of k in k 0.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.392 * [taylor]: Taking taylor expansion of 2.0 in k 0.392 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.392 * [taylor]: Taking taylor expansion of PI in k 0.392 * [taylor]: Taking taylor expansion of n in k 0.393 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.393 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.393 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.393 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.393 * [taylor]: Taking taylor expansion of 0.5 in n 0.393 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.393 * [taylor]: Taking taylor expansion of 1.0 in n 0.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.393 * [taylor]: Taking taylor expansion of k in n 0.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.393 * [taylor]: Taking taylor expansion of 2.0 in n 0.393 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.393 * [taylor]: Taking taylor expansion of PI in n 0.393 * [taylor]: Taking taylor expansion of n in n 0.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.397 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.397 * [taylor]: Taking taylor expansion of 0.5 in n 0.397 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.397 * [taylor]: Taking taylor expansion of 1.0 in n 0.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.397 * [taylor]: Taking taylor expansion of k in n 0.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.397 * [taylor]: Taking taylor expansion of 2.0 in n 0.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.397 * [taylor]: Taking taylor expansion of PI in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.401 * [taylor]: Taking taylor expansion of 0.5 in k 0.401 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.401 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.401 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.401 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.401 * [taylor]: Taking taylor expansion of 2.0 in k 0.401 * [taylor]: Taking taylor expansion of PI in k 0.402 * [taylor]: Taking taylor expansion of (log n) in k 0.402 * [taylor]: Taking taylor expansion of n in k 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.413 * [taylor]: Taking taylor expansion of 0 in k 0.420 * [taylor]: Taking taylor expansion of 0 in k 0.429 * [taylor]: Taking taylor expansion of 0 in k 0.431 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.431 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.431 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.431 * [taylor]: Taking taylor expansion of 0.5 in k 0.431 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.431 * [taylor]: Taking taylor expansion of k in k 0.431 * [taylor]: Taking taylor expansion of 1.0 in k 0.431 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.431 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.431 * [taylor]: Taking taylor expansion of -2.0 in k 0.431 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.431 * [taylor]: Taking taylor expansion of PI in k 0.431 * [taylor]: Taking taylor expansion of n in k 0.432 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.432 * [taylor]: Taking taylor expansion of 0.5 in n 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.432 * [taylor]: Taking taylor expansion of k in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.432 * [taylor]: Taking taylor expansion of -2.0 in n 0.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.432 * [taylor]: Taking taylor expansion of PI in n 0.432 * [taylor]: Taking taylor expansion of n in n 0.436 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.436 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.436 * [taylor]: Taking taylor expansion of 0.5 in n 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.436 * [taylor]: Taking taylor expansion of k in n 0.436 * [taylor]: Taking taylor expansion of 1.0 in n 0.437 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.437 * [taylor]: Taking taylor expansion of -2.0 in n 0.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.437 * [taylor]: Taking taylor expansion of PI in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.440 * [taylor]: Taking taylor expansion of 0.5 in k 0.440 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.441 * [taylor]: Taking taylor expansion of k in k 0.441 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.441 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.441 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.441 * [taylor]: Taking taylor expansion of -2.0 in k 0.441 * [taylor]: Taking taylor expansion of PI in k 0.442 * [taylor]: Taking taylor expansion of (log n) in k 0.442 * [taylor]: Taking taylor expansion of n in k 0.451 * [taylor]: Taking taylor expansion of 0 in k 0.459 * [taylor]: Taking taylor expansion of 0 in k 0.474 * [taylor]: Taking taylor expansion of 0 in k 0.475 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.476 * [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 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.476 * [taylor]: Taking taylor expansion of 1.0 in n 0.476 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.476 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.476 * [taylor]: Taking taylor expansion of k in n 0.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.476 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.476 * [taylor]: Taking taylor expansion of 0.5 in n 0.476 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.476 * [taylor]: Taking taylor expansion of 1.0 in n 0.476 * [taylor]: Taking taylor expansion of k in n 0.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.476 * [taylor]: Taking taylor expansion of 2.0 in n 0.476 * [taylor]: Taking taylor expansion of (* n PI) in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.476 * [taylor]: Taking taylor expansion of PI in n 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.482 * [taylor]: Taking taylor expansion of 1.0 in k 0.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.482 * [taylor]: Taking taylor expansion of k in k 0.484 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.484 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.484 * [taylor]: Taking taylor expansion of 0.5 in k 0.484 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.484 * [taylor]: Taking taylor expansion of 1.0 in k 0.484 * [taylor]: Taking taylor expansion of k in k 0.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.484 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.484 * [taylor]: Taking taylor expansion of 2.0 in k 0.484 * [taylor]: Taking taylor expansion of (* n PI) in k 0.484 * [taylor]: Taking taylor expansion of n in k 0.484 * [taylor]: Taking taylor expansion of PI in k 0.485 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.485 * [taylor]: Taking taylor expansion of 1.0 in k 0.485 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.485 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.485 * [taylor]: Taking taylor expansion of k in k 0.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.486 * [taylor]: Taking taylor expansion of 0.5 in k 0.486 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.486 * [taylor]: Taking taylor expansion of 1.0 in k 0.487 * [taylor]: Taking taylor expansion of k in k 0.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.487 * [taylor]: Taking taylor expansion of 2.0 in k 0.487 * [taylor]: Taking taylor expansion of (* n PI) in k 0.487 * [taylor]: Taking taylor expansion of n in k 0.487 * [taylor]: Taking taylor expansion of PI in k 0.488 * [taylor]: Taking taylor expansion of 0 in n 0.494 * [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 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of +nan.0 in n 0.494 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.494 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log PI) in n 0.494 * [taylor]: Taking taylor expansion of PI in n 0.496 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.496 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.496 * [taylor]: Taking taylor expansion of 1.0 in n 0.496 * [taylor]: Taking taylor expansion of (log n) in n 0.496 * [taylor]: Taking taylor expansion of n in n 0.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.497 * [taylor]: Taking taylor expansion of 1.0 in n 0.497 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.497 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [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 0.517 * [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 0.517 * [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 0.517 * [taylor]: Taking taylor expansion of +nan.0 in n 0.517 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.517 * [taylor]: Taking taylor expansion of 0.5 in n 0.517 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.517 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.517 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log PI) in n 0.517 * [taylor]: Taking taylor expansion of PI in n 0.519 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.519 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log n) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.526 * [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 0.526 * [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 0.526 * [taylor]: Taking taylor expansion of +nan.0 in n 0.526 * [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 0.526 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.526 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.526 * [taylor]: Taking taylor expansion of 0.5 in n 0.526 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.526 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.526 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.526 * [taylor]: Taking taylor expansion of 2.0 in n 0.528 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.528 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.528 * [taylor]: Taking taylor expansion of 1.0 in n 0.528 * [taylor]: Taking taylor expansion of (log PI) in n 0.528 * [taylor]: Taking taylor expansion of PI in n 0.530 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log n) in n 0.530 * [taylor]: Taking taylor expansion of n in n 0.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.535 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.535 * [taylor]: Taking taylor expansion of (* n PI) in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of PI in n 0.594 * [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 0.594 * [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 0.594 * [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 0.594 * [taylor]: Taking taylor expansion of +nan.0 in n 0.594 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.594 * [taylor]: Taking taylor expansion of 0.5 in n 0.594 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.594 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.594 * [taylor]: Taking taylor expansion of 2.0 in n 0.596 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.596 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log n) in n 0.597 * [taylor]: Taking taylor expansion of n in n 0.597 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (log PI) in n 0.597 * [taylor]: Taking taylor expansion of PI in n 0.603 * [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 0.603 * [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 0.603 * [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 0.603 * [taylor]: Taking taylor expansion of +nan.0 in n 0.603 * [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 0.603 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.603 * [taylor]: Taking taylor expansion of 0.5 in n 0.603 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.603 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.603 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.603 * [taylor]: Taking taylor expansion of 2.0 in n 0.605 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.605 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log PI) in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.607 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.607 * [taylor]: Taking taylor expansion of 1.0 in n 0.607 * [taylor]: Taking taylor expansion of (log n) in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (* n PI) in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.615 * [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 0.615 * [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 0.615 * [taylor]: Taking taylor expansion of +nan.0 in n 0.615 * [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 0.615 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.615 * [taylor]: Taking taylor expansion of 0.5 in n 0.615 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.615 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.615 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.615 * [taylor]: Taking taylor expansion of 2.0 in n 0.617 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.617 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of (log PI) in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.619 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.619 * [taylor]: Taking taylor expansion of 1.0 in n 0.619 * [taylor]: Taking taylor expansion of (log n) in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.623 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.624 * [taylor]: Taking taylor expansion of 2.0 in n 0.624 * [taylor]: Taking taylor expansion of (* n PI) in n 0.624 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of PI in n 0.707 * [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 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.707 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.707 * [taylor]: Taking taylor expansion of 0.5 in n 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.707 * [taylor]: Taking taylor expansion of k in n 0.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.707 * [taylor]: Taking taylor expansion of 2.0 in n 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.707 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.711 * [taylor]: Taking taylor expansion of 1.0 in k 0.711 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.711 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.711 * [taylor]: Taking taylor expansion of k in k 0.713 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.713 * [taylor]: Taking taylor expansion of 0.5 in k 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.713 * [taylor]: Taking taylor expansion of 1.0 in k 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.713 * [taylor]: Taking taylor expansion of k in k 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.713 * [taylor]: Taking taylor expansion of 2.0 in k 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.713 * [taylor]: Taking taylor expansion of PI in k 0.713 * [taylor]: Taking taylor expansion of n in k 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.714 * [taylor]: Taking taylor expansion of 1.0 in k 0.714 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.714 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.714 * [taylor]: Taking taylor expansion of k in k 0.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.715 * [taylor]: Taking taylor expansion of 0.5 in k 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.716 * [taylor]: Taking taylor expansion of 2.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.716 * [taylor]: Taking taylor expansion of PI in k 0.716 * [taylor]: Taking taylor expansion of n in k 0.717 * [taylor]: Taking taylor expansion of 0 in n 0.718 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.718 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.718 * [taylor]: Taking taylor expansion of +nan.0 in n 0.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.718 * [taylor]: Taking taylor expansion of 0.5 in n 0.718 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.718 * [taylor]: Taking taylor expansion of 2.0 in n 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.718 * [taylor]: Taking taylor expansion of PI in n 0.718 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.720 * [taylor]: Taking taylor expansion of 1.0 in n 0.720 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.720 * [taylor]: Taking taylor expansion of k in n 0.729 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.729 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.729 * [taylor]: Taking taylor expansion of +nan.0 in n 0.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.729 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.729 * [taylor]: Taking taylor expansion of 0.5 in n 0.729 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.729 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.729 * [taylor]: Taking taylor expansion of 2.0 in n 0.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.729 * [taylor]: Taking taylor expansion of PI in n 0.729 * [taylor]: Taking taylor expansion of n in n 0.730 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.730 * [taylor]: Taking taylor expansion of 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 0.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.748 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.748 * [taylor]: Taking taylor expansion of +nan.0 in n 0.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.748 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.748 * [taylor]: Taking taylor expansion of 0.5 in n 0.748 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.748 * [taylor]: Taking taylor expansion of 2.0 in n 0.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.748 * [taylor]: Taking taylor expansion of PI in n 0.748 * [taylor]: Taking taylor expansion of n in n 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.755 * [taylor]: Taking taylor expansion of 1.0 in n 0.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.755 * [taylor]: Taking taylor expansion of k in n 0.764 * [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 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.764 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.765 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.765 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.765 * [taylor]: Taking taylor expansion of 0.5 in n 0.765 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.765 * [taylor]: Taking taylor expansion of k in n 0.765 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.765 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.765 * [taylor]: Taking taylor expansion of -2.0 in n 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.769 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.769 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.769 * [taylor]: Taking taylor expansion of -1 in n 0.769 * [taylor]: Taking taylor expansion of k in n 0.770 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.770 * [taylor]: Taking taylor expansion of 1.0 in k 0.770 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.770 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.770 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.770 * [taylor]: Taking taylor expansion of 0.5 in k 0.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.770 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.770 * [taylor]: Taking taylor expansion of k in k 0.770 * [taylor]: Taking taylor expansion of 1.0 in k 0.770 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.770 * [taylor]: Taking taylor expansion of -2.0 in k 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.770 * [taylor]: Taking taylor expansion of PI in k 0.770 * [taylor]: Taking taylor expansion of n in k 0.771 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.771 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.771 * [taylor]: Taking taylor expansion of -1 in k 0.771 * [taylor]: Taking taylor expansion of k in k 0.773 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.773 * [taylor]: Taking taylor expansion of 1.0 in k 0.773 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.773 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.773 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.773 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.773 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.773 * [taylor]: Taking taylor expansion of 0.5 in k 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.773 * [taylor]: Taking taylor expansion of k in k 0.773 * [taylor]: Taking taylor expansion of 1.0 in k 0.773 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.773 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.773 * [taylor]: Taking taylor expansion of -2.0 in k 0.773 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.773 * [taylor]: Taking taylor expansion of PI in k 0.773 * [taylor]: Taking taylor expansion of n in k 0.774 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.774 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.774 * [taylor]: Taking taylor expansion of -1 in k 0.774 * [taylor]: Taking taylor expansion of k in k 0.776 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.776 * [taylor]: Taking taylor expansion of +nan.0 in n 0.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.776 * [taylor]: Taking taylor expansion of 0.5 in n 0.776 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.776 * [taylor]: Taking taylor expansion of k in n 0.776 * [taylor]: Taking taylor expansion of 1.0 in n 0.776 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.776 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.776 * [taylor]: Taking taylor expansion of -2.0 in n 0.776 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.776 * [taylor]: Taking taylor expansion of PI in n 0.776 * [taylor]: Taking taylor expansion of n in n 0.785 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.785 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.785 * [taylor]: Taking taylor expansion of +nan.0 in n 0.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.786 * [taylor]: Taking taylor expansion of 0.5 in n 0.786 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.786 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.786 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.786 * [taylor]: Taking taylor expansion of k in n 0.786 * [taylor]: Taking taylor expansion of 1.0 in n 0.786 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.786 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.786 * [taylor]: Taking taylor expansion of -2.0 in n 0.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.786 * [taylor]: Taking taylor expansion of PI in n 0.786 * [taylor]: Taking taylor expansion of n in n 0.805 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.805 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.805 * [taylor]: Taking taylor expansion of +nan.0 in n 0.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.805 * [taylor]: Taking taylor expansion of 0.5 in n 0.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.805 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.805 * [taylor]: Taking taylor expansion of k in n 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.805 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.805 * [taylor]: Taking taylor expansion of -2.0 in n 0.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.805 * [taylor]: Taking taylor expansion of PI in n 0.805 * [taylor]: Taking taylor expansion of n in n 0.815 * * * [progress]: simplifying candidates 0.817 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log 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(cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.920 * * * [progress]: adding candidates to table 1.384 * * [progress]: iteration 2 / 4 1.384 * * * [progress]: picking best candidate 1.411 * * * * [pick]: Picked # 1.411 * * * [progress]: localizing error 1.430 * * * [progress]: generating rewritten candidates 1.430 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.436 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.441 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.452 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.464 * * * [progress]: generating series expansions 1.464 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.465 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.465 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.465 * [taylor]: Taking taylor expansion of 2.0 in n 1.465 * [taylor]: Taking taylor expansion of (* n PI) in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.465 * [taylor]: Taking taylor expansion of PI in n 1.465 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.465 * [taylor]: Taking taylor expansion of 2.0 in n 1.465 * [taylor]: Taking taylor expansion of (* n PI) in n 1.465 * [taylor]: Taking taylor expansion of n in n 1.465 * [taylor]: Taking taylor expansion of PI in n 1.479 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.479 * [taylor]: Taking taylor expansion of 2.0 in n 1.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.479 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.479 * [taylor]: Taking taylor expansion of 2.0 in n 1.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.479 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of n in n 1.489 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.489 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.489 * [taylor]: Taking taylor expansion of -2.0 in n 1.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.489 * [taylor]: Taking taylor expansion of PI in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.489 * [taylor]: Taking taylor expansion of -2.0 in n 1.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.489 * [taylor]: Taking taylor expansion of PI in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.504 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.504 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of (* n PI) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.504 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of (* n PI) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.517 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.518 * [taylor]: Taking taylor expansion of PI in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.518 * [taylor]: Taking taylor expansion of PI in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.527 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.527 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.527 * [taylor]: Taking taylor expansion of -2.0 in n 1.527 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.527 * [taylor]: Taking taylor expansion of PI in n 1.527 * [taylor]: Taking taylor expansion of n in n 1.528 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.528 * [taylor]: Taking taylor expansion of -2.0 in n 1.528 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.528 * [taylor]: Taking taylor expansion of PI in n 1.528 * [taylor]: Taking taylor expansion of n in n 1.537 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.538 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.538 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.538 * [taylor]: Taking taylor expansion of 1.0 in k 1.538 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.538 * [taylor]: Taking taylor expansion of k in k 1.540 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.540 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.540 * [taylor]: Taking taylor expansion of 0.5 in k 1.540 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.540 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.540 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.540 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.540 * [taylor]: Taking taylor expansion of 1.0 in k 1.540 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.540 * [taylor]: Taking taylor expansion of 2.0 in k 1.542 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.542 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.542 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.542 * [taylor]: Taking taylor expansion of 1.0 in k 1.542 * [taylor]: Taking taylor expansion of (log n) in k 1.542 * [taylor]: Taking taylor expansion of n in k 1.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.543 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.543 * [taylor]: Taking taylor expansion of 1.0 in k 1.543 * [taylor]: Taking taylor expansion of (log PI) in k 1.543 * [taylor]: Taking taylor expansion of PI in k 1.548 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.548 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.548 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.548 * [taylor]: Taking taylor expansion of 0.5 in k 1.548 * [taylor]: Taking taylor expansion of k in k 1.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.548 * [taylor]: Taking taylor expansion of 2.0 in k 1.548 * [taylor]: Taking taylor expansion of (* n PI) in k 1.548 * [taylor]: Taking taylor expansion of n in k 1.548 * [taylor]: Taking taylor expansion of PI in k 1.551 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.552 * [taylor]: Taking taylor expansion of 1.0 in n 1.552 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.552 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.552 * [taylor]: Taking taylor expansion of k in n 1.552 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.552 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.552 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.552 * [taylor]: Taking taylor expansion of 0.5 in n 1.552 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.552 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.552 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.552 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.552 * [taylor]: Taking taylor expansion of 1.0 in n 1.552 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.552 * [taylor]: Taking taylor expansion of 2.0 in n 1.554 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.554 * [taylor]: Taking taylor expansion of 1.0 in n 1.554 * [taylor]: Taking taylor expansion of (log n) in n 1.554 * [taylor]: Taking taylor expansion of n in n 1.555 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [taylor]: Taking taylor expansion of (log PI) in n 1.555 * [taylor]: Taking taylor expansion of PI in n 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.560 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.560 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.560 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.560 * [taylor]: Taking taylor expansion of 0.5 in n 1.560 * [taylor]: Taking taylor expansion of k in n 1.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.560 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.560 * [taylor]: Taking taylor expansion of 2.0 in n 1.560 * [taylor]: Taking taylor expansion of (* n PI) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.561 * [taylor]: Taking taylor expansion of PI in n 1.567 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.567 * [taylor]: Taking taylor expansion of 1.0 in n 1.567 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.567 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.567 * [taylor]: Taking taylor expansion of k in n 1.567 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.567 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.567 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.567 * [taylor]: Taking taylor expansion of 0.5 in n 1.568 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.568 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.568 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.568 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.568 * [taylor]: Taking taylor expansion of 1.0 in n 1.568 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.568 * [taylor]: Taking taylor expansion of 2.0 in n 1.569 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.569 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.570 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.570 * [taylor]: Taking taylor expansion of 1.0 in n 1.570 * [taylor]: Taking taylor expansion of (log n) in n 1.570 * [taylor]: Taking taylor expansion of n in n 1.570 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.570 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.570 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.570 * [taylor]: Taking taylor expansion of 1.0 in n 1.570 * [taylor]: Taking taylor expansion of (log PI) in n 1.570 * [taylor]: Taking taylor expansion of PI in n 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.576 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.576 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.576 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.576 * [taylor]: Taking taylor expansion of 0.5 in n 1.576 * [taylor]: Taking taylor expansion of k in n 1.576 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.576 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.576 * [taylor]: Taking taylor expansion of 2.0 in n 1.576 * [taylor]: Taking taylor expansion of (* n PI) in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.576 * [taylor]: Taking taylor expansion of PI in n 1.587 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.587 * [taylor]: Taking taylor expansion of 1.0 in k 1.588 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.588 * [taylor]: Taking taylor expansion of k in k 1.589 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.589 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.589 * [taylor]: Taking taylor expansion of 0.5 in k 1.589 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.589 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.589 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.589 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.589 * [taylor]: Taking taylor expansion of 1.0 in k 1.589 * [taylor]: Taking taylor expansion of (log PI) in k 1.589 * [taylor]: Taking taylor expansion of PI in k 1.597 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.597 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (log n) in k 1.597 * [taylor]: Taking taylor expansion of n in k 1.598 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.598 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.598 * [taylor]: Taking taylor expansion of 1.0 in k 1.598 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.598 * [taylor]: Taking taylor expansion of 2.0 in k 1.603 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.603 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.603 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.603 * [taylor]: Taking taylor expansion of 0.5 in k 1.603 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.603 * [taylor]: Taking taylor expansion of k in k 1.603 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.603 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.603 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.603 * [taylor]: Taking taylor expansion of 2.0 in k 1.603 * [taylor]: Taking taylor expansion of PI in k 1.604 * [taylor]: Taking taylor expansion of (log n) in k 1.604 * [taylor]: Taking taylor expansion of n in k 1.636 * [taylor]: Taking taylor expansion of 0 in k 1.697 * [taylor]: Taking taylor expansion of 0 in k 1.800 * [taylor]: Taking taylor expansion of 0 in k 1.924 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.924 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.924 * [taylor]: Taking taylor expansion of 1.0 in k 1.924 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.924 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.924 * [taylor]: Taking taylor expansion of k in k 1.925 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.925 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.925 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.925 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.925 * [taylor]: Taking taylor expansion of 0.5 in k 1.925 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.925 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.925 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.925 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.925 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.925 * [taylor]: Taking taylor expansion of 1.0 in k 1.925 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.926 * [taylor]: Taking taylor expansion of 2.0 in k 1.927 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.927 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.927 * [taylor]: Taking taylor expansion of 1.0 in k 1.927 * [taylor]: Taking taylor expansion of (log PI) in k 1.927 * [taylor]: Taking taylor expansion of PI in k 1.930 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.930 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.930 * [taylor]: Taking taylor expansion of 1.0 in k 1.930 * [taylor]: Taking taylor expansion of (log n) in k 1.930 * [taylor]: Taking taylor expansion of n in k 1.937 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.937 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.937 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.937 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.937 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.937 * [taylor]: Taking taylor expansion of 0.5 in k 1.937 * [taylor]: Taking taylor expansion of k in k 1.937 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.937 * [taylor]: Taking taylor expansion of 2.0 in k 1.937 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.937 * [taylor]: Taking taylor expansion of PI in k 1.937 * [taylor]: Taking taylor expansion of n in k 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.938 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.938 * [taylor]: Taking taylor expansion of k in n 1.938 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.938 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.938 * [taylor]: Taking taylor expansion of 0.5 in n 1.938 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.938 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.938 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.938 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.938 * [taylor]: Taking taylor expansion of 2.0 in n 1.940 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.940 * [taylor]: Taking taylor expansion of 1.0 in n 1.940 * [taylor]: Taking taylor expansion of (log PI) in n 1.940 * [taylor]: Taking taylor expansion of PI in n 1.942 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.942 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.942 * [taylor]: Taking taylor expansion of 1.0 in n 1.942 * [taylor]: Taking taylor expansion of (log n) in n 1.942 * [taylor]: Taking taylor expansion of n in n 1.949 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.949 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.949 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.949 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.949 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.949 * [taylor]: Taking taylor expansion of 0.5 in n 1.950 * [taylor]: Taking taylor expansion of k in n 1.950 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.950 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.950 * [taylor]: Taking taylor expansion of 2.0 in n 1.950 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.950 * [taylor]: Taking taylor expansion of PI in n 1.950 * [taylor]: Taking taylor expansion of n in n 1.954 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.954 * [taylor]: Taking taylor expansion of 1.0 in n 1.954 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.954 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.954 * [taylor]: Taking taylor expansion of k in n 1.954 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.954 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.954 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.954 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.954 * [taylor]: Taking taylor expansion of 0.5 in n 1.954 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.954 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.954 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.954 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.954 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.954 * [taylor]: Taking taylor expansion of 1.0 in n 1.954 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.954 * [taylor]: Taking taylor expansion of 2.0 in n 1.956 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.956 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.956 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.956 * [taylor]: Taking taylor expansion of 1.0 in n 1.956 * [taylor]: Taking taylor expansion of (log PI) in n 1.956 * [taylor]: Taking taylor expansion of PI in n 1.958 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.958 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.958 * [taylor]: Taking taylor expansion of 1.0 in n 1.958 * [taylor]: Taking taylor expansion of (log n) in n 1.959 * [taylor]: Taking taylor expansion of n in n 1.972 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.972 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.972 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.972 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.972 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.972 * [taylor]: Taking taylor expansion of 0.5 in n 1.972 * [taylor]: Taking taylor expansion of k in n 1.972 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.972 * [taylor]: Taking taylor expansion of 2.0 in n 1.972 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.972 * [taylor]: Taking taylor expansion of PI in n 1.972 * [taylor]: Taking taylor expansion of n in n 1.983 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.983 * [taylor]: Taking taylor expansion of 1.0 in k 1.983 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.983 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.983 * [taylor]: Taking taylor expansion of k in k 1.984 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.984 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.984 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.984 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.984 * [taylor]: Taking taylor expansion of 0.5 in k 1.984 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.984 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.984 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.984 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.984 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.984 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.984 * [taylor]: Taking taylor expansion of 1.0 in k 1.985 * [taylor]: Taking taylor expansion of (log PI) in k 1.985 * [taylor]: Taking taylor expansion of PI in k 1.986 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.986 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.986 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.987 * [taylor]: Taking taylor expansion of 1.0 in k 1.987 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.987 * [taylor]: Taking taylor expansion of 2.0 in k 1.988 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.988 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.988 * [taylor]: Taking taylor expansion of 1.0 in k 1.988 * [taylor]: Taking taylor expansion of (log n) in k 1.988 * [taylor]: Taking taylor expansion of n in k 1.995 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.995 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.995 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.995 * [taylor]: Taking taylor expansion of 0.5 in k 1.995 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.995 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.995 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.995 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.995 * [taylor]: Taking taylor expansion of 2.0 in k 1.995 * [taylor]: Taking taylor expansion of PI in k 1.996 * [taylor]: Taking taylor expansion of (log n) in k 1.996 * [taylor]: Taking taylor expansion of n in k 1.996 * [taylor]: Taking taylor expansion of k in k 2.031 * [taylor]: Taking taylor expansion of 0 in k 2.097 * [taylor]: Taking taylor expansion of 0 in k 2.186 * [taylor]: Taking taylor expansion of 0 in k 2.247 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.247 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.247 * [taylor]: Taking taylor expansion of 1.0 in k 2.247 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.247 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.247 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.247 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.247 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.247 * [taylor]: Taking taylor expansion of -1 in k 2.247 * [taylor]: Taking taylor expansion of k in k 2.249 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.249 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.249 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.249 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.249 * [taylor]: Taking taylor expansion of -0.5 in k 2.249 * [taylor]: Taking taylor expansion of k in k 2.249 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.249 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.249 * [taylor]: Taking taylor expansion of -2.0 in k 2.249 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.249 * [taylor]: Taking taylor expansion of PI in k 2.249 * [taylor]: Taking taylor expansion of n in k 2.250 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.250 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.250 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.250 * [taylor]: Taking taylor expansion of 0.5 in k 2.250 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.250 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.250 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.250 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.250 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.250 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.250 * [taylor]: Taking taylor expansion of 1.0 in k 2.250 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.250 * [taylor]: Taking taylor expansion of -2.0 in k 2.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.252 * [taylor]: Taking taylor expansion of 1.0 in k 2.252 * [taylor]: Taking taylor expansion of (log PI) in k 2.252 * [taylor]: Taking taylor expansion of PI in k 2.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.254 * [taylor]: Taking taylor expansion of 1.0 in k 2.254 * [taylor]: Taking taylor expansion of (log n) in k 2.254 * [taylor]: Taking taylor expansion of n in k 2.261 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.261 * [taylor]: Taking taylor expansion of 1.0 in n 2.261 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.261 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.261 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.261 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.261 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.261 * [taylor]: Taking taylor expansion of -1 in n 2.261 * [taylor]: Taking taylor expansion of k in n 2.261 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.261 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.261 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.261 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.261 * [taylor]: Taking taylor expansion of -0.5 in n 2.262 * [taylor]: Taking taylor expansion of k in n 2.262 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.262 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.262 * [taylor]: Taking taylor expansion of -2.0 in n 2.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.262 * [taylor]: Taking taylor expansion of PI in n 2.262 * [taylor]: Taking taylor expansion of n in n 2.267 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.267 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.267 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.267 * [taylor]: Taking taylor expansion of 0.5 in n 2.267 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.267 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.267 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.267 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.267 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.267 * [taylor]: Taking taylor expansion of 1.0 in n 2.267 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.267 * [taylor]: Taking taylor expansion of -2.0 in n 2.269 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.269 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.269 * [taylor]: Taking taylor expansion of 1.0 in n 2.269 * [taylor]: Taking taylor expansion of (log PI) in n 2.269 * [taylor]: Taking taylor expansion of PI in n 2.271 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.271 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.271 * [taylor]: Taking taylor expansion of 1.0 in n 2.271 * [taylor]: Taking taylor expansion of (log n) in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.278 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.278 * [taylor]: Taking taylor expansion of 1.0 in n 2.278 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.278 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.278 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.278 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.278 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.278 * [taylor]: Taking taylor expansion of -1 in n 2.278 * [taylor]: Taking taylor expansion of k in n 2.279 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.279 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.279 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.279 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.279 * [taylor]: Taking taylor expansion of -0.5 in n 2.279 * [taylor]: Taking taylor expansion of k in n 2.279 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.279 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.279 * [taylor]: Taking taylor expansion of -2.0 in n 2.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.284 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.284 * [taylor]: Taking taylor expansion of 0.5 in n 2.285 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.285 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.285 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.285 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.285 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.285 * [taylor]: Taking taylor expansion of 1.0 in n 2.285 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.285 * [taylor]: Taking taylor expansion of -2.0 in n 2.286 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.287 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.287 * [taylor]: Taking taylor expansion of 1.0 in n 2.287 * [taylor]: Taking taylor expansion of (log PI) in n 2.287 * [taylor]: Taking taylor expansion of PI in n 2.288 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.288 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.288 * [taylor]: Taking taylor expansion of 1.0 in n 2.289 * [taylor]: Taking taylor expansion of (log n) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.300 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.300 * [taylor]: Taking taylor expansion of 1.0 in k 2.300 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.300 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.300 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.300 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.300 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.300 * [taylor]: Taking taylor expansion of -0.5 in k 2.300 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.300 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.300 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.300 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.300 * [taylor]: Taking taylor expansion of -2.0 in k 2.300 * [taylor]: Taking taylor expansion of PI in k 2.301 * [taylor]: Taking taylor expansion of (log n) in k 2.301 * [taylor]: Taking taylor expansion of n in k 2.301 * [taylor]: Taking taylor expansion of k in k 2.304 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.304 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.304 * [taylor]: Taking taylor expansion of -1 in k 2.304 * [taylor]: Taking taylor expansion of k in k 2.308 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.308 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.308 * [taylor]: Taking taylor expansion of 0.5 in k 2.308 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.308 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.308 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.308 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.308 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.308 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.308 * [taylor]: Taking taylor expansion of 1.0 in k 2.308 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.308 * [taylor]: Taking taylor expansion of -2.0 in k 2.310 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.310 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.310 * [taylor]: Taking taylor expansion of 1.0 in k 2.310 * [taylor]: Taking taylor expansion of (log PI) in k 2.310 * [taylor]: Taking taylor expansion of PI in k 2.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.312 * [taylor]: Taking taylor expansion of 1.0 in k 2.312 * [taylor]: Taking taylor expansion of (log n) in k 2.312 * [taylor]: Taking taylor expansion of n in k 2.358 * [taylor]: Taking taylor expansion of 0 in k 2.420 * [taylor]: Taking taylor expansion of 0 in k 2.475 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.476 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.476 * [taylor]: Taking taylor expansion of 0.5 in n 2.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.476 * [taylor]: Taking taylor expansion of 2.0 in n 2.476 * [taylor]: Taking taylor expansion of (* n PI) in n 2.476 * [taylor]: Taking taylor expansion of n in n 2.476 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.482 * [taylor]: Taking taylor expansion of 0.5 in n 2.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.482 * [taylor]: Taking taylor expansion of 2.0 in n 2.482 * [taylor]: Taking taylor expansion of (* n PI) in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.570 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.570 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.570 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.570 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.570 * [taylor]: Taking taylor expansion of 0.5 in n 2.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.570 * [taylor]: Taking taylor expansion of 2.0 in n 2.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.570 * [taylor]: Taking taylor expansion of PI in n 2.570 * [taylor]: Taking taylor expansion of n in n 2.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.574 * [taylor]: Taking taylor expansion of 0.5 in n 2.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.574 * [taylor]: Taking taylor expansion of 2.0 in n 2.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.574 * [taylor]: Taking taylor expansion of PI in n 2.574 * [taylor]: Taking taylor expansion of n in n 2.660 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.660 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.660 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.660 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.660 * [taylor]: Taking taylor expansion of 0.5 in n 2.660 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.660 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.660 * [taylor]: Taking taylor expansion of -2.0 in n 2.660 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.660 * [taylor]: Taking taylor expansion of PI in n 2.660 * [taylor]: Taking taylor expansion of n in n 2.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.664 * [taylor]: Taking taylor expansion of 0.5 in n 2.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.664 * [taylor]: Taking taylor expansion of -2.0 in n 2.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.748 * * * [progress]: simplifying candidates 2.751 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.761 * * [simplify]: iteration 0 : 935 enodes (cost 1406 ) 2.776 * * [simplify]: iteration 1 : 4012 enodes (cost 1247 ) 2.848 * * [simplify]: iteration 2 : 5001 enodes (cost 1237 ) 2.854 * [simplify]: Simplified to: (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.855 * * * [progress]: adding candidates to table 3.157 * * [progress]: iteration 3 / 4 3.157 * * * [progress]: picking best candidate 3.185 * * * * [pick]: Picked # 3.186 * * * [progress]: localizing error 3.206 * * * [progress]: generating rewritten candidates 3.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 3.211 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.216 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.231 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.259 * * * [progress]: generating series expansions 3.259 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 3.260 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.260 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.260 * [taylor]: Taking taylor expansion of 2.0 in n 3.260 * [taylor]: Taking taylor expansion of (* n PI) in n 3.260 * [taylor]: Taking taylor expansion of n in n 3.260 * [taylor]: Taking taylor expansion of PI in n 3.260 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.260 * [taylor]: Taking taylor expansion of 2.0 in n 3.260 * [taylor]: Taking taylor expansion of (* n PI) in n 3.260 * [taylor]: Taking taylor expansion of n in n 3.260 * [taylor]: Taking taylor expansion of PI in n 3.274 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.274 * [taylor]: Taking taylor expansion of 2.0 in n 3.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.274 * [taylor]: Taking taylor expansion of PI in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.274 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.274 * [taylor]: Taking taylor expansion of 2.0 in n 3.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.274 * [taylor]: Taking taylor expansion of PI in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.284 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.284 * [taylor]: Taking taylor expansion of -2.0 in n 3.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.284 * [taylor]: Taking taylor expansion of PI in n 3.284 * [taylor]: Taking taylor expansion of n in n 3.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.284 * [taylor]: Taking taylor expansion of -2.0 in n 3.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.284 * [taylor]: Taking taylor expansion of PI in n 3.284 * [taylor]: Taking taylor expansion of n in n 3.294 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.294 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.294 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.294 * [taylor]: Taking taylor expansion of 2.0 in n 3.294 * [taylor]: Taking taylor expansion of (* n PI) in n 3.294 * [taylor]: Taking taylor expansion of n in n 3.294 * [taylor]: Taking taylor expansion of PI in n 3.294 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.294 * [taylor]: Taking taylor expansion of 2.0 in n 3.294 * [taylor]: Taking taylor expansion of (* n PI) in n 3.294 * [taylor]: Taking taylor expansion of n in n 3.295 * [taylor]: Taking taylor expansion of PI in n 3.307 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.308 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.308 * [taylor]: Taking taylor expansion of 2.0 in n 3.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.308 * [taylor]: Taking taylor expansion of PI in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.308 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.308 * [taylor]: Taking taylor expansion of 2.0 in n 3.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.308 * [taylor]: Taking taylor expansion of PI in n 3.308 * [taylor]: Taking taylor expansion of n in n 3.318 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.318 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.318 * [taylor]: Taking taylor expansion of -2.0 in n 3.318 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.318 * [taylor]: Taking taylor expansion of PI in n 3.318 * [taylor]: Taking taylor expansion of n in n 3.318 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.318 * [taylor]: Taking taylor expansion of -2.0 in n 3.318 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.318 * [taylor]: Taking taylor expansion of PI in n 3.318 * [taylor]: Taking taylor expansion of n in n 3.328 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.329 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 3.329 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 3.329 * [taylor]: Taking taylor expansion of 1.0 in k 3.329 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.329 * [taylor]: Taking taylor expansion of k in k 3.331 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.331 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.331 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.331 * [taylor]: Taking taylor expansion of 0.5 in k 3.331 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.331 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.331 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.331 * [taylor]: Taking taylor expansion of 2.0 in k 3.333 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.333 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.333 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.333 * [taylor]: Taking taylor expansion of 1.0 in k 3.333 * [taylor]: Taking taylor expansion of (log n) in k 3.333 * [taylor]: Taking taylor expansion of n in k 3.333 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.333 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.333 * [taylor]: Taking taylor expansion of 1.0 in k 3.333 * [taylor]: Taking taylor expansion of (log PI) in k 3.333 * [taylor]: Taking taylor expansion of PI in k 3.346 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.346 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.346 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.346 * [taylor]: Taking taylor expansion of 0.5 in k 3.346 * [taylor]: Taking taylor expansion of k in k 3.346 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.346 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.346 * [taylor]: Taking taylor expansion of 2.0 in k 3.346 * [taylor]: Taking taylor expansion of (* n PI) in k 3.346 * [taylor]: Taking taylor expansion of n in k 3.346 * [taylor]: Taking taylor expansion of PI in k 3.349 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.349 * [taylor]: Taking taylor expansion of 1.0 in n 3.349 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.349 * [taylor]: Taking taylor expansion of k in n 3.350 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.350 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.350 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.350 * [taylor]: Taking taylor expansion of 0.5 in n 3.350 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.350 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.350 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.350 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.350 * [taylor]: Taking taylor expansion of 1.0 in n 3.350 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.350 * [taylor]: Taking taylor expansion of 2.0 in n 3.352 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.352 * [taylor]: Taking taylor expansion of 1.0 in n 3.352 * [taylor]: Taking taylor expansion of (log n) in n 3.352 * [taylor]: Taking taylor expansion of n in n 3.352 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.352 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.352 * [taylor]: Taking taylor expansion of 1.0 in n 3.352 * [taylor]: Taking taylor expansion of (log PI) in n 3.352 * [taylor]: Taking taylor expansion of PI in n 3.358 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.359 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.359 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.359 * [taylor]: Taking taylor expansion of 0.5 in n 3.359 * [taylor]: Taking taylor expansion of k in n 3.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.359 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.359 * [taylor]: Taking taylor expansion of 2.0 in n 3.359 * [taylor]: Taking taylor expansion of (* n PI) in n 3.359 * [taylor]: Taking taylor expansion of n in n 3.359 * [taylor]: Taking taylor expansion of PI in n 3.365 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 3.366 * [taylor]: Taking taylor expansion of 1.0 in n 3.366 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.366 * [taylor]: Taking taylor expansion of k in n 3.366 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.366 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.366 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.366 * [taylor]: Taking taylor expansion of 0.5 in n 3.366 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.366 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.366 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.366 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.366 * [taylor]: Taking taylor expansion of 1.0 in n 3.366 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.366 * [taylor]: Taking taylor expansion of 2.0 in n 3.368 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.368 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.368 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.368 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.368 * [taylor]: Taking taylor expansion of 1.0 in n 3.368 * [taylor]: Taking taylor expansion of (log n) in n 3.368 * [taylor]: Taking taylor expansion of n in n 3.369 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.369 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.369 * [taylor]: Taking taylor expansion of 1.0 in n 3.369 * [taylor]: Taking taylor expansion of (log PI) in n 3.369 * [taylor]: Taking taylor expansion of PI in n 3.375 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.375 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.375 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.375 * [taylor]: Taking taylor expansion of 0.5 in n 3.375 * [taylor]: Taking taylor expansion of k in n 3.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.375 * [taylor]: Taking taylor expansion of 2.0 in n 3.375 * [taylor]: Taking taylor expansion of (* n PI) in n 3.375 * [taylor]: Taking taylor expansion of n in n 3.375 * [taylor]: Taking taylor expansion of PI in n 3.386 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 3.386 * [taylor]: Taking taylor expansion of 1.0 in k 3.386 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.386 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.386 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.386 * [taylor]: Taking taylor expansion of k in k 3.388 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.388 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.388 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.388 * [taylor]: Taking taylor expansion of 0.5 in k 3.388 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.388 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.388 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.388 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.388 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.388 * [taylor]: Taking taylor expansion of 1.0 in k 3.388 * [taylor]: Taking taylor expansion of (log PI) in k 3.388 * [taylor]: Taking taylor expansion of PI in k 3.390 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.390 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.390 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.390 * [taylor]: Taking taylor expansion of 1.0 in k 3.390 * [taylor]: Taking taylor expansion of (log n) in k 3.390 * [taylor]: Taking taylor expansion of n in k 3.391 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.391 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.391 * [taylor]: Taking taylor expansion of 1.0 in k 3.391 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.391 * [taylor]: Taking taylor expansion of 2.0 in k 3.396 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.396 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.396 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.396 * [taylor]: Taking taylor expansion of 0.5 in k 3.396 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.396 * [taylor]: Taking taylor expansion of k in k 3.396 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.396 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.397 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.397 * [taylor]: Taking taylor expansion of 2.0 in k 3.397 * [taylor]: Taking taylor expansion of PI in k 3.398 * [taylor]: Taking taylor expansion of (log n) in k 3.398 * [taylor]: Taking taylor expansion of n in k 3.430 * [taylor]: Taking taylor expansion of 0 in k 3.491 * [taylor]: Taking taylor expansion of 0 in k 3.602 * [taylor]: Taking taylor expansion of 0 in k 3.734 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 3.734 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 3.734 * [taylor]: Taking taylor expansion of 1.0 in k 3.734 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.734 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.734 * [taylor]: Taking taylor expansion of k in k 3.736 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.736 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.736 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.736 * [taylor]: Taking taylor expansion of 0.5 in k 3.736 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.736 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.736 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.736 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.736 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.736 * [taylor]: Taking taylor expansion of 1.0 in k 3.736 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.736 * [taylor]: Taking taylor expansion of 2.0 in k 3.738 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.738 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.738 * [taylor]: Taking taylor expansion of 1.0 in k 3.738 * [taylor]: Taking taylor expansion of (log PI) in k 3.738 * [taylor]: Taking taylor expansion of PI in k 3.740 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.740 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.740 * [taylor]: Taking taylor expansion of 1.0 in k 3.740 * [taylor]: Taking taylor expansion of (log n) in k 3.740 * [taylor]: Taking taylor expansion of n in k 3.747 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.747 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.747 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.747 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.747 * [taylor]: Taking taylor expansion of 0.5 in k 3.747 * [taylor]: Taking taylor expansion of k in k 3.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.748 * [taylor]: Taking taylor expansion of 2.0 in k 3.748 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.748 * [taylor]: Taking taylor expansion of PI in k 3.748 * [taylor]: Taking taylor expansion of n in k 3.748 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.748 * [taylor]: Taking taylor expansion of 1.0 in n 3.748 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.748 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.748 * [taylor]: Taking taylor expansion of k in n 3.749 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.749 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.749 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.749 * [taylor]: Taking taylor expansion of 0.5 in n 3.749 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.749 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.749 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.749 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.749 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.749 * [taylor]: Taking taylor expansion of 1.0 in n 3.749 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.749 * [taylor]: Taking taylor expansion of 2.0 in n 3.751 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.751 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.751 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.751 * [taylor]: Taking taylor expansion of 1.0 in n 3.751 * [taylor]: Taking taylor expansion of (log PI) in n 3.751 * [taylor]: Taking taylor expansion of PI in n 3.753 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.753 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.753 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.753 * [taylor]: Taking taylor expansion of 1.0 in n 3.753 * [taylor]: Taking taylor expansion of (log n) in n 3.753 * [taylor]: Taking taylor expansion of n in n 3.760 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.760 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.760 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.760 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.760 * [taylor]: Taking taylor expansion of 0.5 in n 3.760 * [taylor]: Taking taylor expansion of k in n 3.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.760 * [taylor]: Taking taylor expansion of 2.0 in n 3.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.760 * [taylor]: Taking taylor expansion of PI in n 3.761 * [taylor]: Taking taylor expansion of n in n 3.765 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 3.765 * [taylor]: Taking taylor expansion of 1.0 in n 3.765 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.765 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.765 * [taylor]: Taking taylor expansion of k in n 3.765 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.765 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.766 * [taylor]: Taking taylor expansion of 0.5 in n 3.766 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.766 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.766 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.766 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.766 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.766 * [taylor]: Taking taylor expansion of 1.0 in n 3.766 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.766 * [taylor]: Taking taylor expansion of 2.0 in n 3.767 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.768 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.768 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.768 * [taylor]: Taking taylor expansion of 1.0 in n 3.768 * [taylor]: Taking taylor expansion of (log PI) in n 3.768 * [taylor]: Taking taylor expansion of PI in n 3.770 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.770 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.770 * [taylor]: Taking taylor expansion of 1.0 in n 3.770 * [taylor]: Taking taylor expansion of (log n) in n 3.770 * [taylor]: Taking taylor expansion of n in n 3.777 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.777 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.777 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.777 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.777 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.777 * [taylor]: Taking taylor expansion of 0.5 in n 3.777 * [taylor]: Taking taylor expansion of k in n 3.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.777 * [taylor]: Taking taylor expansion of 2.0 in n 3.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.777 * [taylor]: Taking taylor expansion of PI in n 3.777 * [taylor]: Taking taylor expansion of n in n 3.788 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 3.788 * [taylor]: Taking taylor expansion of 1.0 in k 3.788 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 3.788 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.788 * [taylor]: Taking taylor expansion of k in k 3.790 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 3.790 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.790 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.790 * [taylor]: Taking taylor expansion of 0.5 in k 3.790 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.790 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.790 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.790 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.790 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.790 * [taylor]: Taking taylor expansion of 1.0 in k 3.790 * [taylor]: Taking taylor expansion of (log PI) in k 3.790 * [taylor]: Taking taylor expansion of PI in k 3.792 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.792 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.792 * [taylor]: Taking taylor expansion of 1.0 in k 3.792 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.792 * [taylor]: Taking taylor expansion of 2.0 in k 3.794 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.794 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.794 * [taylor]: Taking taylor expansion of 1.0 in k 3.794 * [taylor]: Taking taylor expansion of (log n) in k 3.794 * [taylor]: Taking taylor expansion of n in k 3.801 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.801 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.801 * [taylor]: Taking taylor expansion of 0.5 in k 3.801 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.801 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.801 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.801 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.801 * [taylor]: Taking taylor expansion of 2.0 in k 3.801 * [taylor]: Taking taylor expansion of PI in k 3.802 * [taylor]: Taking taylor expansion of (log n) in k 3.802 * [taylor]: Taking taylor expansion of n in k 3.802 * [taylor]: Taking taylor expansion of k in k 3.845 * [taylor]: Taking taylor expansion of 0 in k 3.905 * [taylor]: Taking taylor expansion of 0 in k 4.134 * [taylor]: Taking taylor expansion of 0 in k 4.194 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 4.194 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.194 * [taylor]: Taking taylor expansion of 1.0 in k 4.194 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.194 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.194 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.194 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.194 * [taylor]: Taking taylor expansion of -1 in k 4.194 * [taylor]: Taking taylor expansion of k in k 4.195 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.195 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.195 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.195 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.195 * [taylor]: Taking taylor expansion of -0.5 in k 4.195 * [taylor]: Taking taylor expansion of k in k 4.196 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.196 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.196 * [taylor]: Taking taylor expansion of -2.0 in k 4.196 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.196 * [taylor]: Taking taylor expansion of PI in k 4.196 * [taylor]: Taking taylor expansion of n in k 4.197 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.197 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.197 * [taylor]: Taking taylor expansion of 0.5 in k 4.197 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.197 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.197 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.197 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.197 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.197 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.197 * [taylor]: Taking taylor expansion of 1.0 in k 4.197 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.197 * [taylor]: Taking taylor expansion of -2.0 in k 4.199 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.199 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.199 * [taylor]: Taking taylor expansion of 1.0 in k 4.199 * [taylor]: Taking taylor expansion of (log PI) in k 4.199 * [taylor]: Taking taylor expansion of PI in k 4.201 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.201 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.201 * [taylor]: Taking taylor expansion of 1.0 in k 4.201 * [taylor]: Taking taylor expansion of (log n) in k 4.201 * [taylor]: Taking taylor expansion of n in k 4.208 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.208 * [taylor]: Taking taylor expansion of 1.0 in n 4.208 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.208 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.208 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.208 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.208 * [taylor]: Taking taylor expansion of -1 in n 4.208 * [taylor]: Taking taylor expansion of k in n 4.209 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.209 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.209 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.209 * [taylor]: Taking taylor expansion of -0.5 in n 4.209 * [taylor]: Taking taylor expansion of k in n 4.209 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.209 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.209 * [taylor]: Taking taylor expansion of -2.0 in n 4.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.209 * [taylor]: Taking taylor expansion of PI in n 4.209 * [taylor]: Taking taylor expansion of n in n 4.214 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.214 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.214 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.214 * [taylor]: Taking taylor expansion of 0.5 in n 4.214 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.214 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.214 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.214 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.214 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.214 * [taylor]: Taking taylor expansion of 1.0 in n 4.214 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.214 * [taylor]: Taking taylor expansion of -2.0 in n 4.216 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.216 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.216 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.216 * [taylor]: Taking taylor expansion of 1.0 in n 4.216 * [taylor]: Taking taylor expansion of (log PI) in n 4.216 * [taylor]: Taking taylor expansion of PI in n 4.218 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.218 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.218 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.218 * [taylor]: Taking taylor expansion of 1.0 in n 4.218 * [taylor]: Taking taylor expansion of (log n) in n 4.218 * [taylor]: Taking taylor expansion of n in n 4.226 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.226 * [taylor]: Taking taylor expansion of 1.0 in n 4.226 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.226 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.226 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.226 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.226 * [taylor]: Taking taylor expansion of -1 in n 4.226 * [taylor]: Taking taylor expansion of k in n 4.226 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.226 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.226 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.226 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.226 * [taylor]: Taking taylor expansion of -0.5 in n 4.226 * [taylor]: Taking taylor expansion of k in n 4.226 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.226 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.226 * [taylor]: Taking taylor expansion of -2.0 in n 4.226 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.226 * [taylor]: Taking taylor expansion of PI in n 4.226 * [taylor]: Taking taylor expansion of n in n 4.232 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.232 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.232 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.232 * [taylor]: Taking taylor expansion of 0.5 in n 4.232 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.232 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.232 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.232 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.232 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.232 * [taylor]: Taking taylor expansion of 1.0 in n 4.232 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.232 * [taylor]: Taking taylor expansion of -2.0 in n 4.234 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.234 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.234 * [taylor]: Taking taylor expansion of 1.0 in n 4.234 * [taylor]: Taking taylor expansion of (log PI) in n 4.234 * [taylor]: Taking taylor expansion of PI in n 4.236 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.236 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.236 * [taylor]: Taking taylor expansion of 1.0 in n 4.236 * [taylor]: Taking taylor expansion of (log n) in n 4.236 * [taylor]: Taking taylor expansion of n in n 4.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.253 * [taylor]: Taking taylor expansion of 1.0 in k 4.253 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.253 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 4.253 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 4.253 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.253 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.253 * [taylor]: Taking taylor expansion of -0.5 in k 4.253 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.253 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.253 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.253 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.253 * [taylor]: Taking taylor expansion of -2.0 in k 4.253 * [taylor]: Taking taylor expansion of PI in k 4.254 * [taylor]: Taking taylor expansion of (log n) in k 4.254 * [taylor]: Taking taylor expansion of n in k 4.254 * [taylor]: Taking taylor expansion of k in k 4.257 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.257 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.257 * [taylor]: Taking taylor expansion of -1 in k 4.257 * [taylor]: Taking taylor expansion of k in k 4.261 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.262 * [taylor]: Taking taylor expansion of 0.5 in k 4.262 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.262 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.262 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.262 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.262 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.262 * [taylor]: Taking taylor expansion of 1.0 in k 4.262 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.262 * [taylor]: Taking taylor expansion of -2.0 in k 4.263 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.264 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.264 * [taylor]: Taking taylor expansion of 1.0 in k 4.264 * [taylor]: Taking taylor expansion of (log PI) in k 4.264 * [taylor]: Taking taylor expansion of PI in k 4.265 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.266 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.266 * [taylor]: Taking taylor expansion of 1.0 in k 4.266 * [taylor]: Taking taylor expansion of (log n) in k 4.266 * [taylor]: Taking taylor expansion of n in k 4.305 * [taylor]: Taking taylor expansion of 0 in k 4.375 * [taylor]: Taking taylor expansion of 0 in k 4.428 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.428 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in (k n) around 0 4.428 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.428 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.428 * [taylor]: Taking taylor expansion of k in n 4.429 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.429 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.429 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.429 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.429 * [taylor]: Taking taylor expansion of 0.5 in n 4.429 * [taylor]: Taking taylor expansion of k in n 4.429 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.429 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.429 * [taylor]: Taking taylor expansion of 2.0 in n 4.429 * [taylor]: Taking taylor expansion of (* n PI) in n 4.429 * [taylor]: Taking taylor expansion of n in n 4.429 * [taylor]: Taking taylor expansion of PI in n 4.435 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.435 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.435 * [taylor]: Taking taylor expansion of k in k 4.437 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.437 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.437 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.437 * [taylor]: Taking taylor expansion of 0.5 in k 4.437 * [taylor]: Taking taylor expansion of k in k 4.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.437 * [taylor]: Taking taylor expansion of 2.0 in k 4.437 * [taylor]: Taking taylor expansion of (* n PI) in k 4.437 * [taylor]: Taking taylor expansion of n in k 4.437 * [taylor]: Taking taylor expansion of PI in k 4.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.440 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.440 * [taylor]: Taking taylor expansion of k in k 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.441 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.441 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.441 * [taylor]: Taking taylor expansion of 0.5 in k 4.441 * [taylor]: Taking taylor expansion of k in k 4.441 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.441 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.441 * [taylor]: Taking taylor expansion of 2.0 in k 4.441 * [taylor]: Taking taylor expansion of (* n PI) in k 4.441 * [taylor]: Taking taylor expansion of n in k 4.441 * [taylor]: Taking taylor expansion of PI in k 4.445 * [taylor]: Taking taylor expansion of 0 in n 4.445 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.445 * [taylor]: Taking taylor expansion of +nan.0 in n 4.453 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 4.453 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 4.453 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 4.453 * [taylor]: Taking taylor expansion of +nan.0 in n 4.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.453 * [taylor]: Taking taylor expansion of 2.0 in n 4.453 * [taylor]: Taking taylor expansion of (* n PI) in n 4.453 * [taylor]: Taking taylor expansion of n in n 4.453 * [taylor]: Taking taylor expansion of PI in n 4.456 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.456 * [taylor]: Taking taylor expansion of +nan.0 in n 4.472 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))))) in n 4.472 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)))) in n 4.472 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) in n 4.472 * [taylor]: Taking taylor expansion of +nan.0 in n 4.472 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.472 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.472 * [taylor]: Taking taylor expansion of 2.0 in n 4.472 * [taylor]: Taking taylor expansion of (* n PI) in n 4.472 * [taylor]: Taking taylor expansion of n in n 4.472 * [taylor]: Taking taylor expansion of PI in n 4.476 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 4.476 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 4.476 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 4.476 * [taylor]: Taking taylor expansion of +nan.0 in n 4.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.477 * [taylor]: Taking taylor expansion of 2.0 in n 4.477 * [taylor]: Taking taylor expansion of (* n PI) in n 4.477 * [taylor]: Taking taylor expansion of n in n 4.477 * [taylor]: Taking taylor expansion of PI in n 4.480 * [taylor]: Taking taylor expansion of (- +nan.0) in n 4.480 * [taylor]: Taking taylor expansion of +nan.0 in n 4.506 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 4.506 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.506 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.507 * [taylor]: Taking taylor expansion of k in n 4.507 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.507 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.507 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.507 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.507 * [taylor]: Taking taylor expansion of 0.5 in n 4.507 * [taylor]: Taking taylor expansion of k in n 4.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.507 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.507 * [taylor]: Taking taylor expansion of 2.0 in n 4.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.507 * [taylor]: Taking taylor expansion of PI in n 4.507 * [taylor]: Taking taylor expansion of n in n 4.511 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.512 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.512 * [taylor]: Taking taylor expansion of k in k 4.513 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.513 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.513 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.513 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.513 * [taylor]: Taking taylor expansion of 0.5 in k 4.513 * [taylor]: Taking taylor expansion of k in k 4.513 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.513 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.513 * [taylor]: Taking taylor expansion of 2.0 in k 4.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.513 * [taylor]: Taking taylor expansion of PI in k 4.513 * [taylor]: Taking taylor expansion of n in k 4.514 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.514 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.514 * [taylor]: Taking taylor expansion of k in k 4.521 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.521 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.521 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.521 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.521 * [taylor]: Taking taylor expansion of 0.5 in k 4.521 * [taylor]: Taking taylor expansion of k in k 4.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.521 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.521 * [taylor]: Taking taylor expansion of 2.0 in k 4.521 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.521 * [taylor]: Taking taylor expansion of PI in k 4.521 * [taylor]: Taking taylor expansion of n in k 4.522 * [taylor]: Taking taylor expansion of 0 in n 4.523 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.523 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.523 * [taylor]: Taking taylor expansion of +nan.0 in n 4.523 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.523 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.523 * [taylor]: Taking taylor expansion of 0.5 in n 4.523 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.523 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.523 * [taylor]: Taking taylor expansion of 2.0 in n 4.523 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.523 * [taylor]: Taking taylor expansion of PI in n 4.523 * [taylor]: Taking taylor expansion of n in n 4.524 * [taylor]: Taking taylor expansion of k in n 4.534 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.534 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.534 * [taylor]: Taking taylor expansion of +nan.0 in n 4.534 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.534 * [taylor]: Taking taylor expansion of 0.5 in n 4.534 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.534 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.534 * [taylor]: Taking taylor expansion of 2.0 in n 4.534 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.534 * [taylor]: Taking taylor expansion of PI in n 4.534 * [taylor]: Taking taylor expansion of n in n 4.536 * [taylor]: Taking taylor expansion of k in n 4.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.554 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.554 * [taylor]: Taking taylor expansion of +nan.0 in n 4.554 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.554 * [taylor]: Taking taylor expansion of 0.5 in n 4.554 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.554 * [taylor]: Taking taylor expansion of 2.0 in n 4.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.554 * [taylor]: Taking taylor expansion of PI in n 4.554 * [taylor]: Taking taylor expansion of n in n 4.556 * [taylor]: Taking taylor expansion of k in n 4.566 * [approximate]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in (k n) around 0 4.566 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.566 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.567 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.567 * [taylor]: Taking taylor expansion of -1 in n 4.567 * [taylor]: Taking taylor expansion of k in n 4.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.567 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.567 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.567 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.567 * [taylor]: Taking taylor expansion of -0.5 in n 4.567 * [taylor]: Taking taylor expansion of k in n 4.567 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.567 * [taylor]: Taking taylor expansion of -2.0 in n 4.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.567 * [taylor]: Taking taylor expansion of PI in n 4.567 * [taylor]: Taking taylor expansion of n in n 4.572 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.572 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.572 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.572 * [taylor]: Taking taylor expansion of -1 in k 4.572 * [taylor]: Taking taylor expansion of k in k 4.574 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.574 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.574 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.574 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.574 * [taylor]: Taking taylor expansion of -0.5 in k 4.574 * [taylor]: Taking taylor expansion of k in k 4.574 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.574 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.574 * [taylor]: Taking taylor expansion of -2.0 in k 4.574 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.574 * [taylor]: Taking taylor expansion of PI in k 4.574 * [taylor]: Taking taylor expansion of n in k 4.575 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.575 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.575 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.575 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.575 * [taylor]: Taking taylor expansion of -1 in k 4.575 * [taylor]: Taking taylor expansion of k in k 4.577 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.577 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.577 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.577 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.577 * [taylor]: Taking taylor expansion of -0.5 in k 4.577 * [taylor]: Taking taylor expansion of k in k 4.577 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.577 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.577 * [taylor]: Taking taylor expansion of -2.0 in k 4.578 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.578 * [taylor]: Taking taylor expansion of PI in k 4.578 * [taylor]: Taking taylor expansion of n in k 4.578 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.578 * [taylor]: Taking taylor expansion of +nan.0 in n 4.578 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.578 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.579 * [taylor]: Taking taylor expansion of -0.5 in n 4.579 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.579 * [taylor]: Taking taylor expansion of -2.0 in n 4.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.579 * [taylor]: Taking taylor expansion of PI in n 4.579 * [taylor]: Taking taylor expansion of n in n 4.580 * [taylor]: Taking taylor expansion of k in n 4.589 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.589 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.589 * [taylor]: Taking taylor expansion of +nan.0 in n 4.589 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.589 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.589 * [taylor]: Taking taylor expansion of -0.5 in n 4.589 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.589 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.589 * [taylor]: Taking taylor expansion of -2.0 in n 4.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.589 * [taylor]: Taking taylor expansion of PI in n 4.589 * [taylor]: Taking taylor expansion of n in n 4.590 * [taylor]: Taking taylor expansion of k in n 4.615 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 4.615 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 4.615 * [taylor]: Taking taylor expansion of +nan.0 in n 4.615 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.615 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.615 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.615 * [taylor]: Taking taylor expansion of -0.5 in n 4.615 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.615 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.615 * [taylor]: Taking taylor expansion of -2.0 in n 4.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.615 * [taylor]: Taking taylor expansion of PI in n 4.615 * [taylor]: Taking taylor expansion of n in n 4.617 * [taylor]: Taking taylor expansion of k in n 4.627 * * * [progress]: simplifying candidates 4.630 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 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0.5))))) (+ (- (* +nan.0 (* (pow k 2) (pow (log n) 2)))) (- (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow k 2)) (- (* +nan.0 k) (- (* +nan.0 (* (pow k 2) (log n))) (- (* +nan.0 (* k (log (* 2.0 PI)))) (fma +nan.0 (* k (log n)) (- +nan.0)))))))))) (+ (* +nan.0 (- (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))) (/ (- +nan.0) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (+ (* +nan.0 (- (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (/ (- +nan.0) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) 4.753 * * * [progress]: adding candidates to table 5.067 * * [progress]: iteration 4 / 4 5.067 * * * [progress]: picking best candidate 5.093 * * * * [pick]: Picked # 5.093 * * * [progress]: localizing error 5.106 * * * [progress]: generating rewritten candidates 5.106 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1) 5.111 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 5.121 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 5.132 * * * [progress]: generating series expansions 5.132 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1) 5.133 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.133 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.133 * [taylor]: Taking taylor expansion of 2.0 in n 5.133 * [taylor]: Taking taylor expansion of (* n PI) in n 5.133 * [taylor]: Taking taylor expansion of n in n 5.133 * [taylor]: Taking taylor expansion of PI in n 5.133 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.133 * [taylor]: Taking taylor expansion of 2.0 in n 5.133 * [taylor]: Taking taylor expansion of (* n PI) in n 5.133 * [taylor]: Taking taylor expansion of n in n 5.133 * [taylor]: Taking taylor expansion of PI in n 5.146 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.146 * [taylor]: Taking taylor expansion of 2.0 in n 5.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.146 * [taylor]: Taking taylor expansion of PI in n 5.146 * [taylor]: Taking taylor expansion of n in n 5.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.146 * [taylor]: Taking taylor expansion of 2.0 in n 5.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.146 * [taylor]: Taking taylor expansion of PI in n 5.146 * [taylor]: Taking taylor expansion of n in n 5.155 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.155 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.155 * [taylor]: Taking taylor expansion of -2.0 in n 5.155 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.155 * [taylor]: Taking taylor expansion of PI in n 5.155 * [taylor]: Taking taylor expansion of n in n 5.156 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.156 * [taylor]: Taking taylor expansion of -2.0 in n 5.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.156 * [taylor]: Taking taylor expansion of PI in n 5.156 * [taylor]: Taking taylor expansion of n in n 5.165 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 5.165 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.166 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.166 * [taylor]: Taking taylor expansion of 0.5 in k 5.166 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.166 * [taylor]: Taking taylor expansion of 1.0 in k 5.166 * [taylor]: Taking taylor expansion of k in k 5.166 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.166 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.166 * [taylor]: Taking taylor expansion of 2.0 in k 5.166 * [taylor]: Taking taylor expansion of (* n PI) in k 5.166 * [taylor]: Taking taylor expansion of n in k 5.166 * [taylor]: Taking taylor expansion of PI in k 5.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.167 * [taylor]: Taking taylor expansion of 0.5 in n 5.167 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.167 * [taylor]: Taking taylor expansion of 1.0 in n 5.167 * [taylor]: Taking taylor expansion of k in n 5.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.167 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.167 * [taylor]: Taking taylor expansion of 2.0 in n 5.167 * [taylor]: Taking taylor expansion of (* n PI) in n 5.167 * [taylor]: Taking taylor expansion of n in n 5.167 * [taylor]: Taking taylor expansion of PI in n 5.177 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.177 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.177 * [taylor]: Taking taylor expansion of 0.5 in n 5.177 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.177 * [taylor]: Taking taylor expansion of 1.0 in n 5.178 * [taylor]: Taking taylor expansion of k in n 5.178 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.178 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.178 * [taylor]: Taking taylor expansion of 2.0 in n 5.178 * [taylor]: Taking taylor expansion of (* n PI) in n 5.178 * [taylor]: Taking taylor expansion of n in n 5.178 * [taylor]: Taking taylor expansion of PI in n 5.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.183 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.183 * [taylor]: Taking taylor expansion of 0.5 in k 5.183 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.183 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.183 * [taylor]: Taking taylor expansion of 1.0 in k 5.183 * [taylor]: Taking taylor expansion of k in k 5.183 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.183 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.183 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.183 * [taylor]: Taking taylor expansion of 2.0 in k 5.183 * [taylor]: Taking taylor expansion of PI in k 5.184 * [taylor]: Taking taylor expansion of (log n) in k 5.184 * [taylor]: Taking taylor expansion of n in k 5.194 * [taylor]: Taking taylor expansion of 0 in k 5.210 * [taylor]: Taking taylor expansion of 0 in k 5.229 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.229 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.229 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.230 * [taylor]: Taking taylor expansion of 0.5 in k 5.230 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.230 * [taylor]: Taking taylor expansion of 1.0 in k 5.230 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.230 * [taylor]: Taking taylor expansion of k in k 5.230 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.230 * [taylor]: Taking taylor expansion of 2.0 in k 5.230 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.230 * [taylor]: Taking taylor expansion of PI in k 5.230 * [taylor]: Taking taylor expansion of n in k 5.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.231 * [taylor]: Taking taylor expansion of 0.5 in n 5.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.231 * [taylor]: Taking taylor expansion of 1.0 in n 5.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.231 * [taylor]: Taking taylor expansion of k in n 5.231 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.231 * [taylor]: Taking taylor expansion of 2.0 in n 5.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.231 * [taylor]: Taking taylor expansion of PI in n 5.231 * [taylor]: Taking taylor expansion of n in n 5.235 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.235 * [taylor]: Taking taylor expansion of 0.5 in n 5.235 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.235 * [taylor]: Taking taylor expansion of 1.0 in n 5.235 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.235 * [taylor]: Taking taylor expansion of k in n 5.235 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.235 * [taylor]: Taking taylor expansion of 2.0 in n 5.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.235 * [taylor]: Taking taylor expansion of PI in n 5.235 * [taylor]: Taking taylor expansion of n in n 5.239 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.239 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.239 * [taylor]: Taking taylor expansion of 0.5 in k 5.239 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.239 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.239 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.239 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.239 * [taylor]: Taking taylor expansion of 2.0 in k 5.239 * [taylor]: Taking taylor expansion of PI in k 5.240 * [taylor]: Taking taylor expansion of (log n) in k 5.240 * [taylor]: Taking taylor expansion of n in k 5.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.240 * [taylor]: Taking taylor expansion of 1.0 in k 5.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.240 * [taylor]: Taking taylor expansion of k in k 5.250 * [taylor]: Taking taylor expansion of 0 in k 5.263 * [taylor]: Taking taylor expansion of 0 in k 5.272 * [taylor]: Taking taylor expansion of 0 in k 5.273 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.273 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.273 * [taylor]: Taking taylor expansion of 0.5 in k 5.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.274 * [taylor]: Taking taylor expansion of k in k 5.274 * [taylor]: Taking taylor expansion of 1.0 in k 5.274 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.274 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.274 * [taylor]: Taking taylor expansion of -2.0 in k 5.274 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.274 * [taylor]: Taking taylor expansion of PI in k 5.274 * [taylor]: Taking taylor expansion of n in k 5.275 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.275 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.275 * [taylor]: Taking taylor expansion of 0.5 in n 5.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.275 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.275 * [taylor]: Taking taylor expansion of k in n 5.275 * [taylor]: Taking taylor expansion of 1.0 in n 5.275 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.275 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.275 * [taylor]: Taking taylor expansion of -2.0 in n 5.275 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.275 * [taylor]: Taking taylor expansion of PI in n 5.275 * [taylor]: Taking taylor expansion of n in n 5.279 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.279 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.279 * [taylor]: Taking taylor expansion of 0.5 in n 5.279 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.279 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.279 * [taylor]: Taking taylor expansion of k in n 5.279 * [taylor]: Taking taylor expansion of 1.0 in n 5.279 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.279 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.279 * [taylor]: Taking taylor expansion of -2.0 in n 5.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.279 * [taylor]: Taking taylor expansion of PI in n 5.279 * [taylor]: Taking taylor expansion of n in n 5.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.283 * [taylor]: Taking taylor expansion of 0.5 in k 5.283 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.283 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.283 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.283 * [taylor]: Taking taylor expansion of k in k 5.284 * [taylor]: Taking taylor expansion of 1.0 in k 5.284 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.284 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.284 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.284 * [taylor]: Taking taylor expansion of -2.0 in k 5.284 * [taylor]: Taking taylor expansion of PI in k 5.285 * [taylor]: Taking taylor expansion of (log n) in k 5.285 * [taylor]: Taking taylor expansion of n in k 5.294 * [taylor]: Taking taylor expansion of 0 in k 5.301 * [taylor]: Taking taylor expansion of 0 in k 5.311 * [taylor]: Taking taylor expansion of 0 in k 5.312 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 5.312 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 5.312 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 5.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.312 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.312 * [taylor]: Taking taylor expansion of 0.5 in k 5.312 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.312 * [taylor]: Taking taylor expansion of 1.0 in k 5.312 * [taylor]: Taking taylor expansion of k in k 5.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.313 * [taylor]: Taking taylor expansion of 2.0 in k 5.313 * [taylor]: Taking taylor expansion of (* n PI) in k 5.313 * [taylor]: Taking taylor expansion of n in k 5.313 * [taylor]: Taking taylor expansion of PI in k 5.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.314 * [taylor]: Taking taylor expansion of k in k 5.315 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 5.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.315 * [taylor]: Taking taylor expansion of 0.5 in n 5.315 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.315 * [taylor]: Taking taylor expansion of 1.0 in n 5.315 * [taylor]: Taking taylor expansion of k in n 5.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.315 * [taylor]: Taking taylor expansion of 2.0 in n 5.315 * [taylor]: Taking taylor expansion of (* n PI) in n 5.315 * [taylor]: Taking taylor expansion of n in n 5.315 * [taylor]: Taking taylor expansion of PI in n 5.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.321 * [taylor]: Taking taylor expansion of k in n 5.321 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 5.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.321 * [taylor]: Taking taylor expansion of 0.5 in n 5.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.321 * [taylor]: Taking taylor expansion of 1.0 in n 5.321 * [taylor]: Taking taylor expansion of k in n 5.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.322 * [taylor]: Taking taylor expansion of 2.0 in n 5.322 * [taylor]: Taking taylor expansion of (* n PI) in n 5.322 * [taylor]: Taking taylor expansion of n in n 5.322 * [taylor]: Taking taylor expansion of PI in n 5.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.327 * [taylor]: Taking taylor expansion of k in n 5.328 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 5.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.328 * [taylor]: Taking taylor expansion of k in k 5.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.330 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.330 * [taylor]: Taking taylor expansion of 0.5 in k 5.330 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.330 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.330 * [taylor]: Taking taylor expansion of 1.0 in k 5.330 * [taylor]: Taking taylor expansion of k in k 5.330 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.330 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.330 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.330 * [taylor]: Taking taylor expansion of 2.0 in k 5.330 * [taylor]: Taking taylor expansion of PI in k 5.331 * [taylor]: Taking taylor expansion of (log n) in k 5.331 * [taylor]: Taking taylor expansion of n in k 5.342 * [taylor]: Taking taylor expansion of 0 in k 5.366 * [taylor]: Taking taylor expansion of 0 in k 5.398 * [taylor]: Taking taylor expansion of 0 in k 5.452 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 5.452 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.452 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.452 * [taylor]: Taking taylor expansion of k in k 5.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.453 * [taylor]: Taking taylor expansion of 0.5 in k 5.453 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.453 * [taylor]: Taking taylor expansion of 1.0 in k 5.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.453 * [taylor]: Taking taylor expansion of k in k 5.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.454 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.454 * [taylor]: Taking taylor expansion of 2.0 in k 5.454 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.454 * [taylor]: Taking taylor expansion of PI in k 5.454 * [taylor]: Taking taylor expansion of n in k 5.455 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.455 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.455 * [taylor]: Taking taylor expansion of k in n 5.455 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.455 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.455 * [taylor]: Taking taylor expansion of 0.5 in n 5.455 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.455 * [taylor]: Taking taylor expansion of 1.0 in n 5.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.455 * [taylor]: Taking taylor expansion of k in n 5.455 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.455 * [taylor]: Taking taylor expansion of 2.0 in n 5.455 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.455 * [taylor]: Taking taylor expansion of PI in n 5.455 * [taylor]: Taking taylor expansion of n in n 5.459 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.459 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.459 * [taylor]: Taking taylor expansion of k in n 5.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.459 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.459 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.459 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.459 * [taylor]: Taking taylor expansion of 0.5 in n 5.459 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.459 * [taylor]: Taking taylor expansion of 1.0 in n 5.459 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.459 * [taylor]: Taking taylor expansion of k in n 5.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.459 * [taylor]: Taking taylor expansion of 2.0 in n 5.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.459 * [taylor]: Taking taylor expansion of PI in n 5.459 * [taylor]: Taking taylor expansion of n in n 5.464 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 5.464 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.464 * [taylor]: Taking taylor expansion of k in k 5.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.465 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.465 * [taylor]: Taking taylor expansion of 0.5 in k 5.465 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.465 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.465 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.465 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.465 * [taylor]: Taking taylor expansion of 2.0 in k 5.465 * [taylor]: Taking taylor expansion of PI in k 5.466 * [taylor]: Taking taylor expansion of (log n) in k 5.466 * [taylor]: Taking taylor expansion of n in k 5.466 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.466 * [taylor]: Taking taylor expansion of 1.0 in k 5.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.466 * [taylor]: Taking taylor expansion of k in k 5.477 * [taylor]: Taking taylor expansion of 0 in k 5.487 * [taylor]: Taking taylor expansion of 0 in k 5.503 * [taylor]: Taking taylor expansion of 0 in k 5.511 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 5.511 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.511 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.511 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.511 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.511 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.511 * [taylor]: Taking taylor expansion of 0.5 in k 5.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.511 * [taylor]: Taking taylor expansion of k in k 5.511 * [taylor]: Taking taylor expansion of 1.0 in k 5.511 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.511 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.511 * [taylor]: Taking taylor expansion of -2.0 in k 5.511 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.511 * [taylor]: Taking taylor expansion of PI in k 5.512 * [taylor]: Taking taylor expansion of n in k 5.512 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.512 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.512 * [taylor]: Taking taylor expansion of -1 in k 5.512 * [taylor]: Taking taylor expansion of k in k 5.514 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.514 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.514 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.514 * [taylor]: Taking taylor expansion of 0.5 in n 5.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.514 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.514 * [taylor]: Taking taylor expansion of k in n 5.514 * [taylor]: Taking taylor expansion of 1.0 in n 5.514 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.514 * [taylor]: Taking taylor expansion of -2.0 in n 5.514 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.514 * [taylor]: Taking taylor expansion of PI in n 5.514 * [taylor]: Taking taylor expansion of n in n 5.518 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.518 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.518 * [taylor]: Taking taylor expansion of -1 in n 5.518 * [taylor]: Taking taylor expansion of k in n 5.519 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.519 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.519 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.519 * [taylor]: Taking taylor expansion of 0.5 in n 5.519 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.519 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.519 * [taylor]: Taking taylor expansion of k in n 5.519 * [taylor]: Taking taylor expansion of 1.0 in n 5.519 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.519 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.519 * [taylor]: Taking taylor expansion of -2.0 in n 5.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.519 * [taylor]: Taking taylor expansion of PI in n 5.519 * [taylor]: Taking taylor expansion of n in n 5.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.523 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.523 * [taylor]: Taking taylor expansion of -1 in n 5.523 * [taylor]: Taking taylor expansion of k in n 5.524 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 5.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.524 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.524 * [taylor]: Taking taylor expansion of 0.5 in k 5.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.524 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.524 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.524 * [taylor]: Taking taylor expansion of k in k 5.525 * [taylor]: Taking taylor expansion of 1.0 in k 5.525 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.525 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.525 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.525 * [taylor]: Taking taylor expansion of -2.0 in k 5.525 * [taylor]: Taking taylor expansion of PI in k 5.526 * [taylor]: Taking taylor expansion of (log n) in k 5.526 * [taylor]: Taking taylor expansion of n in k 5.534 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.534 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.534 * [taylor]: Taking taylor expansion of -1 in k 5.534 * [taylor]: Taking taylor expansion of k in k 5.544 * [taylor]: Taking taylor expansion of 0 in k 5.557 * [taylor]: Taking taylor expansion of 0 in k 5.566 * * * [progress]: simplifying candidates 5.568 * [simplify]: Simplifying using # : (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (log1p (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (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 k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (sqrt k)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (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) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 5.577 * * [simplify]: iteration 0 : 718 enodes (cost 1382 ) 5.588 * * [simplify]: iteration 1 : 2834 enodes (cost 1296 ) 5.636 * * [simplify]: iteration 2 : 5002 enodes (cost 1248 ) 5.642 * [simplify]: Simplified to: (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 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(sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k))) (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (sqrt k)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow n (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow (* 2.0 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(pow k 2))) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (fma (* (* +nan.0 k) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- +nan.0) (* (pow (* (* 2.0 PI) n) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2))) (fma (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 k) (fma (- (* +nan.0 (pow k 2))) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (fma (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* 2.0 PI)) (fma (- +nan.0) (* (* (pow k 2) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) +nan.0)))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 5.643 * * * [progress]: adding candidates to table 5.971 * [progress]: [Phase 3 of 3] Extracting. 5.971 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.974 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.974 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 6.007 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 6.042 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 6.078 * * * [regime]: Found split indices: #