11.416 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.172 * [progress]: [Phase 2 of 3] Improving. 0.173 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.175 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.177 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.178 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.181 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.187 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.210 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.211 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.211 * * [progress]: iteration 1 / 4 0.211 * * * [progress]: picking best candidate 0.213 * * * * [pick]: Picked # 0.214 * * * [progress]: localizing error 0.232 * * * [progress]: generating rewritten candidates 0.232 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.237 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.250 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.267 * * * [progress]: generating series expansions 0.267 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.267 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.268 * [taylor]: Taking taylor expansion of 2.0 in n 0.268 * [taylor]: Taking taylor expansion of (* n PI) in n 0.268 * [taylor]: Taking taylor expansion of n in n 0.268 * [taylor]: Taking taylor expansion of PI in n 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.268 * [taylor]: Taking taylor expansion of 2.0 in n 0.268 * [taylor]: Taking taylor expansion of (* n PI) in n 0.268 * [taylor]: Taking taylor expansion of n in n 0.268 * [taylor]: Taking taylor expansion of PI in n 0.281 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.290 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of -2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -2.0 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.301 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.301 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.301 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.302 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.302 * [taylor]: Taking taylor expansion of 1.0 in k 0.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.302 * [taylor]: Taking taylor expansion of k in k 0.320 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.320 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.321 * [taylor]: Taking taylor expansion of 1.0 in k 0.321 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.321 * [taylor]: Taking taylor expansion of k in k 0.332 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.332 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.332 * [taylor]: Taking taylor expansion of -1 in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.333 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.333 * [taylor]: Taking taylor expansion of -1 in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.345 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.346 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.346 * [taylor]: Taking taylor expansion of 0.5 in k 0.346 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.346 * [taylor]: Taking taylor expansion of 1.0 in k 0.346 * [taylor]: Taking taylor expansion of k in k 0.346 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.346 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.346 * [taylor]: Taking taylor expansion of 2.0 in k 0.346 * [taylor]: Taking taylor expansion of (* n PI) in k 0.346 * [taylor]: Taking taylor expansion of n in k 0.346 * [taylor]: Taking taylor expansion of PI in k 0.347 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.347 * [taylor]: Taking taylor expansion of 0.5 in n 0.347 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of k in n 0.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.347 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.347 * [taylor]: Taking taylor expansion of 2.0 in n 0.347 * [taylor]: Taking taylor expansion of (* n PI) in n 0.348 * [taylor]: Taking taylor expansion of n in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.353 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.353 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.353 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.353 * [taylor]: Taking taylor expansion of 0.5 in n 0.353 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.353 * [taylor]: Taking taylor expansion of 1.0 in n 0.353 * [taylor]: Taking taylor expansion of k in n 0.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.353 * [taylor]: Taking taylor expansion of 2.0 in n 0.353 * [taylor]: Taking taylor expansion of (* n PI) in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.359 * [taylor]: Taking taylor expansion of 0.5 in k 0.359 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.359 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.359 * [taylor]: Taking taylor expansion of 1.0 in k 0.359 * [taylor]: Taking taylor expansion of k in k 0.359 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.359 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.359 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.359 * [taylor]: Taking taylor expansion of 2.0 in k 0.359 * [taylor]: Taking taylor expansion of PI in k 0.360 * [taylor]: Taking taylor expansion of (log n) in k 0.360 * [taylor]: Taking taylor expansion of n in k 0.369 * [taylor]: Taking taylor expansion of 0 in k 0.385 * [taylor]: Taking taylor expansion of 0 in k 0.410 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.411 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.411 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.411 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.411 * [taylor]: Taking taylor expansion of 0.5 in k 0.411 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.411 * [taylor]: Taking taylor expansion of 1.0 in k 0.411 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.411 * [taylor]: Taking taylor expansion of k in k 0.411 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.411 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.411 * [taylor]: Taking taylor expansion of 2.0 in k 0.411 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.411 * [taylor]: Taking taylor expansion of PI in k 0.411 * [taylor]: Taking taylor expansion of n in k 0.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.412 * [taylor]: Taking taylor expansion of 0.5 in n 0.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.412 * [taylor]: Taking taylor expansion of 1.0 in n 0.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.412 * [taylor]: Taking taylor expansion of k in n 0.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.412 * [taylor]: Taking taylor expansion of 2.0 in n 0.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.412 * [taylor]: Taking taylor expansion of PI in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.416 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.416 * [taylor]: Taking taylor expansion of 0.5 in n 0.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.416 * [taylor]: Taking taylor expansion of 1.0 in n 0.416 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.416 * [taylor]: Taking taylor expansion of k in n 0.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.420 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.420 * [taylor]: Taking taylor expansion of 0.5 in k 0.420 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.420 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.420 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.420 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.420 * [taylor]: Taking taylor expansion of 2.0 in k 0.420 * [taylor]: Taking taylor expansion of PI in k 0.421 * [taylor]: Taking taylor expansion of (log n) in k 0.421 * [taylor]: Taking taylor expansion of n in k 0.422 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.422 * [taylor]: Taking taylor expansion of 1.0 in k 0.422 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.422 * [taylor]: Taking taylor expansion of k in k 0.431 * [taylor]: Taking taylor expansion of 0 in k 0.438 * [taylor]: Taking taylor expansion of 0 in k 0.448 * [taylor]: Taking taylor expansion of 0 in k 0.449 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.449 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.449 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.449 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.449 * [taylor]: Taking taylor expansion of 0.5 in k 0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.449 * [taylor]: Taking taylor expansion of -2.0 in k 0.449 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.449 * [taylor]: Taking taylor expansion of PI in k 0.449 * [taylor]: Taking taylor expansion of n in k 0.450 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.450 * [taylor]: Taking taylor expansion of 0.5 in n 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.450 * [taylor]: Taking taylor expansion of k in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.450 * [taylor]: Taking taylor expansion of -2.0 in n 0.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.451 * [taylor]: Taking taylor expansion of PI in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.454 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.454 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.454 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.454 * [taylor]: Taking taylor expansion of 0.5 in n 0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.454 * [taylor]: Taking taylor expansion of k in n 0.454 * [taylor]: Taking taylor expansion of 1.0 in n 0.454 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.454 * [taylor]: Taking taylor expansion of -2.0 in n 0.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.454 * [taylor]: Taking taylor expansion of PI in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.458 * [taylor]: Taking taylor expansion of 0.5 in k 0.458 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.458 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.458 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.458 * [taylor]: Taking taylor expansion of k in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.459 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.459 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.459 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.459 * [taylor]: Taking taylor expansion of -2.0 in k 0.459 * [taylor]: Taking taylor expansion of PI in k 0.460 * [taylor]: Taking taylor expansion of (log n) in k 0.460 * [taylor]: Taking taylor expansion of n in k 0.469 * [taylor]: Taking taylor expansion of 0 in k 0.475 * [taylor]: Taking taylor expansion of 0 in k 0.491 * [taylor]: Taking taylor expansion of 0 in k 0.492 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.493 * [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 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.493 * [taylor]: Taking taylor expansion of 0.5 in n 0.493 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [taylor]: Taking taylor expansion of (* n PI) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.499 * [taylor]: Taking taylor expansion of 1.0 in k 0.499 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.499 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.499 * [taylor]: Taking taylor expansion of k in k 0.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.500 * [taylor]: Taking taylor expansion of 0.5 in k 0.500 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.500 * [taylor]: Taking taylor expansion of 1.0 in k 0.500 * [taylor]: Taking taylor expansion of k in k 0.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.500 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.500 * [taylor]: Taking taylor expansion of 2.0 in k 0.500 * [taylor]: Taking taylor expansion of (* n PI) in k 0.500 * [taylor]: Taking taylor expansion of n in k 0.500 * [taylor]: Taking taylor expansion of PI in k 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.501 * [taylor]: Taking taylor expansion of 1.0 in k 0.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.501 * [taylor]: Taking taylor expansion of k in k 0.503 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.503 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.503 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.503 * [taylor]: Taking taylor expansion of 0.5 in k 0.503 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.503 * [taylor]: Taking taylor expansion of 1.0 in k 0.503 * [taylor]: Taking taylor expansion of k in k 0.503 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.503 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.503 * [taylor]: Taking taylor expansion of 2.0 in k 0.503 * [taylor]: Taking taylor expansion of (* n PI) in k 0.503 * [taylor]: Taking taylor expansion of n in k 0.503 * [taylor]: Taking taylor expansion of PI in k 0.504 * [taylor]: Taking taylor expansion of 0 in n 0.510 * [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 0.510 * [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 0.510 * [taylor]: Taking taylor expansion of +nan.0 in n 0.510 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.510 * [taylor]: Taking taylor expansion of 0.5 in n 0.510 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.510 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log PI) in n 0.510 * [taylor]: Taking taylor expansion of PI in n 0.512 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log n) in n 0.512 * [taylor]: Taking taylor expansion of n in n 0.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.513 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [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 0.532 * [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 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of +nan.0 in n 0.532 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.532 * [taylor]: Taking taylor expansion of 0.5 in n 0.532 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.532 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.532 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log PI) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.534 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.534 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log n) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.535 * [taylor]: Taking taylor expansion of 1.0 in n 0.535 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.540 * [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 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of +nan.0 in n 0.540 * [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 0.540 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.540 * [taylor]: Taking taylor expansion of 0.5 in n 0.540 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.540 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.540 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.542 * [taylor]: Taking taylor expansion of 1.0 in n 0.542 * [taylor]: Taking taylor expansion of (log PI) in n 0.542 * [taylor]: Taking taylor expansion of PI in n 0.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log n) in n 0.544 * [taylor]: Taking taylor expansion of n in n 0.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.548 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.548 * [taylor]: Taking taylor expansion of 2.0 in n 0.548 * [taylor]: Taking taylor expansion of (* n PI) in n 0.548 * [taylor]: Taking taylor expansion of n in n 0.548 * [taylor]: Taking taylor expansion of PI in n 0.605 * [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 0.605 * [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 0.605 * [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 0.605 * [taylor]: Taking taylor expansion of +nan.0 in n 0.605 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.605 * [taylor]: Taking taylor expansion of 0.5 in n 0.605 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.605 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.605 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.605 * [taylor]: Taking taylor expansion of 2.0 in n 0.607 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) 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 0.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log PI) in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.613 * [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 0.613 * [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 0.613 * [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 0.613 * [taylor]: Taking taylor expansion of +nan.0 in n 0.613 * [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 0.613 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.613 * [taylor]: Taking taylor expansion of 0.5 in n 0.613 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.613 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.613 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.613 * [taylor]: Taking taylor expansion of 1.0 in n 0.613 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.613 * [taylor]: Taking taylor expansion of 2.0 in n 0.615 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.615 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (log PI) in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.617 * [taylor]: Taking taylor expansion of (log n) in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* n PI) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.625 * [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 0.625 * [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 0.625 * [taylor]: Taking taylor expansion of +nan.0 in n 0.625 * [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 0.625 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.625 * [taylor]: Taking taylor expansion of 0.5 in n 0.625 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.625 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.625 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.627 * [taylor]: Taking taylor expansion of 1.0 in n 0.627 * [taylor]: Taking taylor expansion of (log PI) in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (log n) in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (* n PI) in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.712 * [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 0.713 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.713 * [taylor]: Taking taylor expansion of 1.0 in n 0.713 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.713 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.713 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.713 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.713 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.713 * [taylor]: Taking taylor expansion of 0.5 in n 0.713 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.713 * [taylor]: Taking taylor expansion of 1.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.713 * [taylor]: Taking taylor expansion of k in n 0.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.713 * [taylor]: Taking taylor expansion of 2.0 in n 0.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.717 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.717 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.718 * [taylor]: Taking taylor expansion of 0.5 in k 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.718 * [taylor]: Taking taylor expansion of 1.0 in k 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.718 * [taylor]: Taking taylor expansion of 2.0 in k 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.718 * [taylor]: Taking taylor expansion of PI in k 0.718 * [taylor]: Taking taylor expansion of n in k 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.720 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.720 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.720 * [taylor]: Taking taylor expansion of k in k 0.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.721 * [taylor]: Taking taylor expansion of 0.5 in k 0.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.721 * [taylor]: Taking taylor expansion of 1.0 in k 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.721 * [taylor]: Taking taylor expansion of 2.0 in k 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.721 * [taylor]: Taking taylor expansion of PI in k 0.721 * [taylor]: Taking taylor expansion of n in k 0.723 * [taylor]: Taking taylor expansion of 0 in n 0.723 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.723 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.723 * [taylor]: Taking taylor expansion of +nan.0 in n 0.723 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.723 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.724 * [taylor]: Taking taylor expansion of 0.5 in n 0.724 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.724 * [taylor]: Taking taylor expansion of 2.0 in n 0.724 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.724 * [taylor]: Taking taylor expansion of PI in n 0.724 * [taylor]: Taking taylor expansion of n in n 0.725 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.725 * [taylor]: Taking taylor expansion of 1.0 in n 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.725 * [taylor]: Taking taylor expansion of k in n 0.733 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.733 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.733 * [taylor]: Taking taylor expansion of +nan.0 in n 0.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.733 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.733 * [taylor]: Taking taylor expansion of 0.5 in n 0.733 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.733 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.733 * [taylor]: Taking taylor expansion of 2.0 in n 0.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.733 * [taylor]: Taking taylor expansion of PI in n 0.733 * [taylor]: Taking taylor expansion of n in n 0.735 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.735 * [taylor]: Taking taylor expansion of 1.0 in n 0.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.735 * [taylor]: Taking taylor expansion of k in n 0.751 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.752 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.752 * [taylor]: Taking taylor expansion of +nan.0 in n 0.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.752 * [taylor]: Taking taylor expansion of 0.5 in n 0.752 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.752 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.752 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.752 * [taylor]: Taking taylor expansion of 2.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.752 * [taylor]: Taking taylor expansion of PI in n 0.752 * [taylor]: Taking taylor expansion of n in n 0.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.753 * [taylor]: Taking taylor expansion of 1.0 in n 0.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.753 * [taylor]: Taking taylor expansion of k in n 0.768 * [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 0.768 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.768 * [taylor]: Taking taylor expansion of 1.0 in n 0.768 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.768 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.768 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.768 * [taylor]: Taking taylor expansion of 0.5 in n 0.768 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.768 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.768 * [taylor]: Taking taylor expansion of k in n 0.768 * [taylor]: Taking taylor expansion of 1.0 in n 0.768 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.768 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.768 * [taylor]: Taking taylor expansion of -2.0 in n 0.768 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.768 * [taylor]: Taking taylor expansion of PI in n 0.768 * [taylor]: Taking taylor expansion of n in n 0.772 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.772 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.772 * [taylor]: Taking taylor expansion of -1 in n 0.772 * [taylor]: Taking taylor expansion of k in n 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 0.774 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.774 * [taylor]: Taking taylor expansion of PI in k 0.774 * [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 (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.776 * [taylor]: Taking taylor expansion of 1.0 in k 0.776 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.776 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.776 * [taylor]: Taking taylor expansion of 0.5 in k 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.776 * [taylor]: Taking taylor expansion of k in k 0.776 * [taylor]: Taking taylor expansion of 1.0 in k 0.776 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.776 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.776 * [taylor]: Taking taylor expansion of -2.0 in k 0.776 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.776 * [taylor]: Taking taylor expansion of PI in k 0.776 * [taylor]: Taking taylor expansion of n in k 0.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.777 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.777 * [taylor]: Taking taylor expansion of -1 in k 0.777 * [taylor]: Taking taylor expansion of k in k 0.779 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.779 * [taylor]: Taking taylor expansion of +nan.0 in n 0.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.779 * [taylor]: Taking taylor expansion of 0.5 in n 0.779 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.779 * [taylor]: Taking taylor expansion of k in n 0.779 * [taylor]: Taking taylor expansion of 1.0 in n 0.779 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.779 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.779 * [taylor]: Taking taylor expansion of -2.0 in n 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.779 * [taylor]: Taking taylor expansion of PI in n 0.779 * [taylor]: Taking taylor expansion of n in n 0.788 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.788 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.788 * [taylor]: Taking taylor expansion of +nan.0 in n 0.788 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.788 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.788 * [taylor]: Taking taylor expansion of 0.5 in n 0.788 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.788 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.788 * [taylor]: Taking taylor expansion of k in n 0.788 * [taylor]: Taking taylor expansion of 1.0 in n 0.788 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.788 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.788 * [taylor]: Taking taylor expansion of -2.0 in n 0.788 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.788 * [taylor]: Taking taylor expansion of PI in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.806 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.806 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.806 * [taylor]: Taking taylor expansion of +nan.0 in n 0.806 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.806 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.806 * [taylor]: Taking taylor expansion of 0.5 in n 0.806 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.806 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.807 * [taylor]: Taking taylor expansion of k in n 0.807 * [taylor]: Taking taylor expansion of 1.0 in n 0.807 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.807 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.807 * [taylor]: Taking taylor expansion of -2.0 in n 0.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.807 * [taylor]: Taking taylor expansion of PI in n 0.807 * [taylor]: Taking taylor expansion of n in n 0.816 * * * [progress]: simplifying candidates 0.818 * [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 (/ 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 (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- 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))))))))) 0.921 * * * [progress]: adding candidates to table 1.334 * * [progress]: iteration 2 / 4 1.334 * * * [progress]: picking best candidate 1.361 * * * * [pick]: Picked # 1.361 * * * [progress]: localizing error 1.379 * * * [progress]: generating rewritten candidates 1.379 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.385 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.390 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.404 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.416 * * * [progress]: generating series expansions 1.416 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.417 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.417 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.417 * [taylor]: Taking taylor expansion of 2.0 in n 1.417 * [taylor]: Taking taylor expansion of (* n PI) in n 1.417 * [taylor]: Taking taylor expansion of n in n 1.417 * [taylor]: Taking taylor expansion of PI in n 1.417 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.417 * [taylor]: Taking taylor expansion of 2.0 in n 1.417 * [taylor]: Taking taylor expansion of (* n PI) in n 1.417 * [taylor]: Taking taylor expansion of n in n 1.417 * [taylor]: Taking taylor expansion of PI in n 1.430 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.431 * [taylor]: Taking taylor expansion of 2.0 in n 1.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.431 * [taylor]: Taking taylor expansion of 2.0 in n 1.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.440 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.440 * [taylor]: Taking taylor expansion of -2.0 in n 1.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.440 * [taylor]: Taking taylor expansion of PI in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.441 * [taylor]: Taking taylor expansion of -2.0 in n 1.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.441 * [taylor]: Taking taylor expansion of PI in n 1.441 * [taylor]: Taking taylor expansion of n in n 1.449 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.449 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.450 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (* n PI) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.450 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (* n PI) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.462 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.471 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.471 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.471 * [taylor]: Taking taylor expansion of -2.0 in n 1.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.472 * [taylor]: Taking taylor expansion of -2.0 in n 1.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.472 * [taylor]: Taking taylor expansion of n in n 1.480 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.489 * [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 1.489 * [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 1.489 * [taylor]: Taking taylor expansion of 1.0 in k 1.489 * [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 1.489 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.489 * [taylor]: Taking taylor expansion of k in k 1.490 * [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 1.490 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.490 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.490 * [taylor]: Taking taylor expansion of 0.5 in k 1.490 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.490 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.490 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.490 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.490 * [taylor]: Taking taylor expansion of 1.0 in k 1.490 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.490 * [taylor]: Taking taylor expansion of 2.0 in k 1.492 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.492 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.492 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.492 * [taylor]: Taking taylor expansion of (log n) in k 1.492 * [taylor]: Taking taylor expansion of n in k 1.492 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.492 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.492 * [taylor]: Taking taylor expansion of 1.0 in k 1.492 * [taylor]: Taking taylor expansion of (log PI) in k 1.492 * [taylor]: Taking taylor expansion of PI in k 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.498 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.498 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.498 * [taylor]: Taking taylor expansion of 0.5 in k 1.498 * [taylor]: Taking taylor expansion of k in k 1.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.498 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.498 * [taylor]: Taking taylor expansion of 2.0 in k 1.498 * [taylor]: Taking taylor expansion of (* n PI) in k 1.498 * [taylor]: Taking taylor expansion of n in k 1.498 * [taylor]: Taking taylor expansion of PI in k 1.501 * [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 1.501 * [taylor]: Taking taylor expansion of 1.0 in n 1.501 * [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 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.501 * [taylor]: Taking taylor expansion of k in n 1.501 * [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 1.501 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.501 * [taylor]: Taking taylor expansion of 0.5 in n 1.501 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.501 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.501 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.502 * [taylor]: Taking taylor expansion of 1.0 in n 1.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.502 * [taylor]: Taking taylor expansion of 2.0 in n 1.503 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.503 * [taylor]: Taking taylor expansion of 1.0 in n 1.503 * [taylor]: Taking taylor expansion of (log n) in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.504 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (log PI) in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.510 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [taylor]: Taking taylor expansion of k in n 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.510 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (* n PI) in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.516 * [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 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [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 1.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.516 * [taylor]: Taking taylor expansion of k in n 1.516 * [taylor]: Taking taylor expansion of (* (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 1.516 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.517 * [taylor]: Taking taylor expansion of 0.5 in n 1.517 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.517 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.517 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.517 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.517 * [taylor]: Taking taylor expansion of 1.0 in n 1.517 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.517 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.519 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.519 * [taylor]: Taking taylor expansion of 1.0 in n 1.519 * [taylor]: Taking taylor expansion of (log n) in n 1.519 * [taylor]: Taking taylor expansion of n in n 1.519 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.519 * [taylor]: Taking taylor expansion of 1.0 in n 1.519 * [taylor]: Taking taylor expansion of (log PI) in n 1.519 * [taylor]: Taking taylor expansion of PI in n 1.525 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.525 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.525 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.525 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.525 * [taylor]: Taking taylor expansion of 0.5 in n 1.525 * [taylor]: Taking taylor expansion of k in n 1.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.525 * [taylor]: Taking taylor expansion of 2.0 in n 1.525 * [taylor]: Taking taylor expansion of (* n PI) in n 1.525 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of PI in n 1.536 * [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 1.536 * [taylor]: Taking taylor expansion of 1.0 in k 1.536 * [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 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.536 * [taylor]: Taking taylor expansion of k in k 1.537 * [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 1.537 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.537 * [taylor]: Taking taylor expansion of 0.5 in k 1.537 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.537 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.537 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.537 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.537 * [taylor]: Taking taylor expansion of 1.0 in k 1.537 * [taylor]: Taking taylor expansion of (log PI) in k 1.537 * [taylor]: Taking taylor expansion of PI in k 1.539 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.539 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.539 * [taylor]: Taking taylor expansion of 1.0 in k 1.539 * [taylor]: Taking taylor expansion of (log n) in k 1.539 * [taylor]: Taking taylor expansion of n in k 1.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.539 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.539 * [taylor]: Taking taylor expansion of 1.0 in k 1.539 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.540 * [taylor]: Taking taylor expansion of 2.0 in k 1.545 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.545 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.545 * [taylor]: Taking taylor expansion of 0.5 in k 1.545 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.545 * [taylor]: Taking taylor expansion of k in k 1.545 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.545 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.545 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.545 * [taylor]: Taking taylor expansion of 2.0 in k 1.545 * [taylor]: Taking taylor expansion of PI in k 1.546 * [taylor]: Taking taylor expansion of (log n) in k 1.546 * [taylor]: Taking taylor expansion of n in k 1.581 * [taylor]: Taking taylor expansion of 0 in k 1.634 * [taylor]: Taking taylor expansion of 0 in k 1.734 * [taylor]: Taking taylor expansion of 0 in k 1.858 * [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 1.858 * [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 1.858 * [taylor]: Taking taylor expansion of 1.0 in k 1.858 * [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 1.858 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.858 * [taylor]: Taking taylor expansion of k in k 1.860 * [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 1.860 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.860 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.860 * [taylor]: Taking taylor expansion of 0.5 in k 1.860 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.860 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.860 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.860 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.860 * [taylor]: Taking taylor expansion of 1.0 in k 1.860 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.860 * [taylor]: Taking taylor expansion of 2.0 in k 1.862 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.862 * [taylor]: Taking taylor expansion of 1.0 in k 1.862 * [taylor]: Taking taylor expansion of (log PI) in k 1.862 * [taylor]: Taking taylor expansion of PI in k 1.863 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.864 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.864 * [taylor]: Taking taylor expansion of 1.0 in k 1.864 * [taylor]: Taking taylor expansion of (log n) in k 1.864 * [taylor]: Taking taylor expansion of n in k 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.870 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.870 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.870 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.870 * [taylor]: Taking taylor expansion of 0.5 in k 1.870 * [taylor]: Taking taylor expansion of k in k 1.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.871 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.871 * [taylor]: Taking taylor expansion of 2.0 in k 1.871 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.871 * [taylor]: Taking taylor expansion of PI in k 1.871 * [taylor]: Taking taylor expansion of n in k 1.871 * [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 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [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 1.871 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.871 * [taylor]: Taking taylor expansion of k in n 1.871 * [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 1.871 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.871 * [taylor]: Taking taylor expansion of 0.5 in n 1.871 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.871 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.871 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.871 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.872 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.872 * [taylor]: Taking taylor expansion of 1.0 in n 1.872 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.872 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.873 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.873 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.873 * [taylor]: Taking taylor expansion of 1.0 in n 1.873 * [taylor]: Taking taylor expansion of (log PI) in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.875 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.875 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.875 * [taylor]: Taking taylor expansion of 1.0 in n 1.875 * [taylor]: Taking taylor expansion of (log n) in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.882 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.882 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.882 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.882 * [taylor]: Taking taylor expansion of 0.5 in n 1.882 * [taylor]: Taking taylor expansion of k in n 1.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.882 * [taylor]: Taking taylor expansion of 2.0 in n 1.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.882 * [taylor]: Taking taylor expansion of PI in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.887 * [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 1.887 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [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 1.887 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.887 * [taylor]: Taking taylor expansion of k in n 1.887 * [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 1.887 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.887 * [taylor]: Taking taylor expansion of 0.5 in n 1.887 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.887 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.887 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.887 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.887 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.887 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.887 * [taylor]: Taking taylor expansion of 2.0 in n 1.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.889 * [taylor]: Taking taylor expansion of 1.0 in n 1.889 * [taylor]: Taking taylor expansion of (log PI) in n 1.889 * [taylor]: Taking taylor expansion of PI in n 1.891 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.891 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.891 * [taylor]: Taking taylor expansion of 1.0 in n 1.891 * [taylor]: Taking taylor expansion of (log n) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.899 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.899 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.899 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.899 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.899 * [taylor]: Taking taylor expansion of 0.5 in n 1.899 * [taylor]: Taking taylor expansion of k in n 1.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.899 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.909 * [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 1.909 * [taylor]: Taking taylor expansion of 1.0 in k 1.909 * [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 1.909 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.909 * [taylor]: Taking taylor expansion of k in k 1.910 * [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 1.911 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.911 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.911 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.911 * [taylor]: Taking taylor expansion of 0.5 in k 1.911 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.911 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.911 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.911 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.911 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.911 * [taylor]: Taking taylor expansion of 1.0 in k 1.911 * [taylor]: Taking taylor expansion of (log PI) in k 1.911 * [taylor]: Taking taylor expansion of PI in k 1.913 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.913 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.913 * [taylor]: Taking taylor expansion of 1.0 in k 1.913 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.913 * [taylor]: Taking taylor expansion of 2.0 in k 1.914 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.914 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.914 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.914 * [taylor]: Taking taylor expansion of 1.0 in k 1.914 * [taylor]: Taking taylor expansion of (log n) in k 1.914 * [taylor]: Taking taylor expansion of n in k 1.921 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.921 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.921 * [taylor]: Taking taylor expansion of 0.5 in k 1.921 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.921 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.921 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.921 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.921 * [taylor]: Taking taylor expansion of 2.0 in k 1.921 * [taylor]: Taking taylor expansion of PI in k 1.922 * [taylor]: Taking taylor expansion of (log n) in k 1.922 * [taylor]: Taking taylor expansion of n in k 1.922 * [taylor]: Taking taylor expansion of k in k 1.963 * [taylor]: Taking taylor expansion of 0 in k 2.020 * [taylor]: Taking taylor expansion of 0 in k 2.106 * [taylor]: Taking taylor expansion of 0 in k 2.163 * [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 2.163 * [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 2.163 * [taylor]: Taking taylor expansion of 1.0 in k 2.163 * [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 2.163 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.163 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.163 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.163 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.163 * [taylor]: Taking taylor expansion of -1 in k 2.163 * [taylor]: Taking taylor expansion of k in k 2.165 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.165 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.165 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.165 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.165 * [taylor]: Taking taylor expansion of -0.5 in k 2.165 * [taylor]: Taking taylor expansion of k in k 2.165 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.165 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.165 * [taylor]: Taking taylor expansion of -2.0 in k 2.165 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.165 * [taylor]: Taking taylor expansion of PI in k 2.165 * [taylor]: Taking taylor expansion of n in k 2.166 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.166 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.166 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.166 * [taylor]: Taking taylor expansion of 0.5 in k 2.166 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.166 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.166 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.166 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.166 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.166 * [taylor]: Taking taylor expansion of 1.0 in k 2.166 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.166 * [taylor]: Taking taylor expansion of -2.0 in k 2.168 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.168 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.168 * [taylor]: Taking taylor expansion of 1.0 in k 2.168 * [taylor]: Taking taylor expansion of (log PI) in k 2.168 * [taylor]: Taking taylor expansion of PI in k 2.170 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.170 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.170 * [taylor]: Taking taylor expansion of 1.0 in k 2.170 * [taylor]: Taking taylor expansion of (log n) in k 2.170 * [taylor]: Taking taylor expansion of n in k 2.176 * [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 2.176 * [taylor]: Taking taylor expansion of 1.0 in n 2.176 * [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 2.176 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.176 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.177 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.177 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.177 * [taylor]: Taking taylor expansion of -1 in n 2.177 * [taylor]: Taking taylor expansion of k in n 2.177 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.177 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.177 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.177 * [taylor]: Taking taylor expansion of -0.5 in n 2.177 * [taylor]: Taking taylor expansion of k in n 2.177 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.177 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.177 * [taylor]: Taking taylor expansion of -2.0 in n 2.177 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.177 * [taylor]: Taking taylor expansion of PI in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.182 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.182 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.182 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.182 * [taylor]: Taking taylor expansion of 0.5 in n 2.182 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.182 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.182 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.182 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.182 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.182 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.182 * [taylor]: Taking taylor expansion of 1.0 in n 2.182 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.182 * [taylor]: Taking taylor expansion of -2.0 in n 2.184 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.184 * [taylor]: Taking taylor expansion of 1.0 in n 2.184 * [taylor]: Taking taylor expansion of (log PI) in n 2.184 * [taylor]: Taking taylor expansion of PI in n 2.186 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.186 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.186 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [taylor]: Taking taylor expansion of (log n) in n 2.186 * [taylor]: Taking taylor expansion of n in n 2.193 * [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 2.193 * [taylor]: Taking taylor expansion of 1.0 in n 2.193 * [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 2.193 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.193 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.193 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.193 * [taylor]: Taking taylor expansion of -1 in n 2.193 * [taylor]: Taking taylor expansion of k in n 2.193 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.193 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.193 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.193 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.193 * [taylor]: Taking taylor expansion of -0.5 in n 2.193 * [taylor]: Taking taylor expansion of k in n 2.193 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.193 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.193 * [taylor]: Taking taylor expansion of -2.0 in n 2.193 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.193 * [taylor]: Taking taylor expansion of PI in n 2.193 * [taylor]: Taking taylor expansion of n in n 2.204 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.204 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.204 * [taylor]: Taking taylor expansion of 0.5 in n 2.205 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.205 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.205 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.205 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.205 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.205 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.205 * [taylor]: Taking taylor expansion of 1.0 in n 2.205 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.205 * [taylor]: Taking taylor expansion of -2.0 in n 2.206 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.206 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.206 * [taylor]: Taking taylor expansion of 1.0 in n 2.206 * [taylor]: Taking taylor expansion of (log PI) in n 2.206 * [taylor]: Taking taylor expansion of PI in n 2.208 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.208 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.208 * [taylor]: Taking taylor expansion of 1.0 in n 2.208 * [taylor]: Taking taylor expansion of (log n) in n 2.208 * [taylor]: Taking taylor expansion of n in n 2.219 * [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 2.219 * [taylor]: Taking taylor expansion of 1.0 in k 2.220 * [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 2.220 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.220 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.220 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.220 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.220 * [taylor]: Taking taylor expansion of -0.5 in k 2.220 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.220 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.220 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.220 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.220 * [taylor]: Taking taylor expansion of -2.0 in k 2.220 * [taylor]: Taking taylor expansion of PI in k 2.221 * [taylor]: Taking taylor expansion of (log n) in k 2.221 * [taylor]: Taking taylor expansion of n in k 2.221 * [taylor]: Taking taylor expansion of k in k 2.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.223 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.223 * [taylor]: Taking taylor expansion of -1 in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.227 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.227 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.227 * [taylor]: Taking taylor expansion of 0.5 in k 2.227 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.227 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.227 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.227 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.227 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.227 * [taylor]: Taking taylor expansion of 1.0 in k 2.227 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.227 * [taylor]: Taking taylor expansion of -2.0 in k 2.229 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.229 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.229 * [taylor]: Taking taylor expansion of 1.0 in k 2.229 * [taylor]: Taking taylor expansion of (log PI) in k 2.229 * [taylor]: Taking taylor expansion of PI in k 2.231 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.231 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.231 * [taylor]: Taking taylor expansion of 1.0 in k 2.231 * [taylor]: Taking taylor expansion of (log n) in k 2.231 * [taylor]: Taking taylor expansion of n in k 2.268 * [taylor]: Taking taylor expansion of 0 in k 2.334 * [taylor]: Taking taylor expansion of 0 in k 2.386 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.386 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.387 * [taylor]: Taking taylor expansion of 0.5 in n 2.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.387 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.387 * [taylor]: Taking taylor expansion of 2.0 in n 2.387 * [taylor]: Taking taylor expansion of (* n PI) in n 2.387 * [taylor]: Taking taylor expansion of n in n 2.387 * [taylor]: Taking taylor expansion of PI in n 2.392 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.392 * [taylor]: Taking taylor expansion of 0.5 in n 2.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.392 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.392 * [taylor]: Taking taylor expansion of 2.0 in n 2.392 * [taylor]: Taking taylor expansion of (* n PI) in n 2.392 * [taylor]: Taking taylor expansion of n in n 2.392 * [taylor]: Taking taylor expansion of PI in n 2.476 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.476 * [taylor]: Taking taylor expansion of 0.5 in n 2.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.476 * [taylor]: Taking taylor expansion of 2.0 in n 2.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.476 * [taylor]: Taking taylor expansion of PI in n 2.476 * [taylor]: Taking taylor expansion of n in n 2.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.480 * [taylor]: Taking taylor expansion of 0.5 in n 2.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.480 * [taylor]: Taking taylor expansion of 2.0 in n 2.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.480 * [taylor]: Taking taylor expansion of PI in n 2.480 * [taylor]: Taking taylor expansion of n in n 2.562 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.562 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.562 * [taylor]: Taking taylor expansion of 0.5 in n 2.562 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.562 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.562 * [taylor]: Taking taylor expansion of -2.0 in n 2.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.562 * [taylor]: Taking taylor expansion of PI in n 2.562 * [taylor]: Taking taylor expansion of n in n 2.565 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.566 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.566 * [taylor]: Taking taylor expansion of 0.5 in n 2.566 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.566 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.566 * [taylor]: Taking taylor expansion of -2.0 in n 2.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.566 * [taylor]: Taking taylor expansion of PI in n 2.566 * [taylor]: Taking taylor expansion of n in n 2.646 * * * [progress]: simplifying candidates 2.648 * [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))))) 2.659 * * [simplify]: iteration 0 : 935 enodes (cost 1406 ) 2.674 * * [simplify]: iteration 1 : 4012 enodes (cost 1247 ) 2.743 * * [simplify]: iteration 2 : 5001 enodes (cost 1237 ) 2.750 * [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))))) 2.751 * * * [progress]: adding candidates to table 2.999 * * [progress]: iteration 3 / 4 2.999 * * * [progress]: picking best candidate 3.025 * * * * [pick]: Picked # 3.025 * * * [progress]: localizing error 3.043 * * * [progress]: generating rewritten candidates 3.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.049 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.054 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.058 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.097 * * * [progress]: generating series expansions 3.097 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.098 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.098 * [taylor]: Taking taylor expansion of 2.0 in n 3.098 * [taylor]: Taking taylor expansion of (* n PI) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [taylor]: Taking taylor expansion of PI in n 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.098 * [taylor]: Taking taylor expansion of 2.0 in n 3.098 * [taylor]: Taking taylor expansion of (* n PI) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [taylor]: Taking taylor expansion of PI in n 3.110 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.110 * [taylor]: Taking taylor expansion of 2.0 in n 3.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.110 * [taylor]: Taking taylor expansion of PI in n 3.110 * [taylor]: Taking taylor expansion of n in n 3.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.111 * [taylor]: Taking taylor expansion of 2.0 in n 3.111 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.111 * [taylor]: Taking taylor expansion of PI in n 3.111 * [taylor]: Taking taylor expansion of n in n 3.120 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.120 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.120 * [taylor]: Taking taylor expansion of -2.0 in n 3.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.120 * [taylor]: Taking taylor expansion of PI in n 3.120 * [taylor]: Taking taylor expansion of n in n 3.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.121 * [taylor]: Taking taylor expansion of -2.0 in n 3.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.129 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.130 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.130 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.130 * [taylor]: Taking taylor expansion of 2.0 in n 3.130 * [taylor]: Taking taylor expansion of (* n PI) in n 3.130 * [taylor]: Taking taylor expansion of n in n 3.130 * [taylor]: Taking taylor expansion of PI in n 3.130 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.130 * [taylor]: Taking taylor expansion of 2.0 in n 3.130 * [taylor]: Taking taylor expansion of (* n PI) in n 3.130 * [taylor]: Taking taylor expansion of n in n 3.130 * [taylor]: Taking taylor expansion of PI in n 3.150 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.150 * [taylor]: Taking taylor expansion of n in n 3.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.150 * [taylor]: Taking taylor expansion of n in n 3.160 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.160 * [taylor]: Taking taylor expansion of -2.0 in n 3.160 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.160 * [taylor]: Taking taylor expansion of -2.0 in n 3.160 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.169 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.169 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.169 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.169 * [taylor]: Taking taylor expansion of 1.0 in k 3.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.169 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.169 * [taylor]: Taking taylor expansion of k in k 3.170 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.170 * [taylor]: Taking taylor expansion of 1.0 in k 3.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.170 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.170 * [taylor]: Taking taylor expansion of k in k 3.182 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.182 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.182 * [taylor]: Taking taylor expansion of 1.0 in k 3.182 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.182 * [taylor]: Taking taylor expansion of k in k 3.183 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.183 * [taylor]: Taking taylor expansion of 1.0 in k 3.183 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.183 * [taylor]: Taking taylor expansion of k in k 3.193 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.193 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.193 * [taylor]: Taking taylor expansion of 1.0 in k 3.193 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.193 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.193 * [taylor]: Taking taylor expansion of -1 in k 3.193 * [taylor]: Taking taylor expansion of k in k 3.195 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.195 * [taylor]: Taking taylor expansion of 1.0 in k 3.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.195 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.195 * [taylor]: Taking taylor expansion of -1 in k 3.195 * [taylor]: Taking taylor expansion of k in k 3.207 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.208 * [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 (k n) around 0 3.208 * [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 3.208 * [taylor]: Taking taylor expansion of 1.0 in n 3.208 * [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 3.208 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.208 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.208 * [taylor]: Taking taylor expansion of k in n 3.208 * [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 3.208 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.209 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.209 * [taylor]: Taking taylor expansion of 0.5 in n 3.209 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.209 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.209 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.209 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.209 * [taylor]: Taking taylor expansion of 1.0 in n 3.209 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.209 * [taylor]: Taking taylor expansion of 2.0 in n 3.210 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.210 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.210 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.210 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.211 * [taylor]: Taking taylor expansion of 1.0 in n 3.211 * [taylor]: Taking taylor expansion of (log n) in n 3.211 * [taylor]: Taking taylor expansion of n in n 3.211 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.211 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.211 * [taylor]: Taking taylor expansion of 1.0 in n 3.211 * [taylor]: Taking taylor expansion of (log PI) in n 3.211 * [taylor]: Taking taylor expansion of PI in n 3.217 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.217 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.217 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.217 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.217 * [taylor]: Taking taylor expansion of 0.5 in n 3.217 * [taylor]: Taking taylor expansion of k in n 3.217 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.217 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.217 * [taylor]: Taking taylor expansion of 2.0 in n 3.217 * [taylor]: Taking taylor expansion of (* n PI) in n 3.217 * [taylor]: Taking taylor expansion of n in n 3.217 * [taylor]: Taking taylor expansion of PI in n 3.223 * [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 3.223 * [taylor]: Taking taylor expansion of 1.0 in k 3.223 * [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 3.223 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.223 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.223 * [taylor]: Taking taylor expansion of k in k 3.225 * [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 3.225 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.225 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.225 * [taylor]: Taking taylor expansion of 0.5 in k 3.225 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.225 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.225 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.225 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.225 * [taylor]: Taking taylor expansion of 1.0 in k 3.225 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.225 * [taylor]: Taking taylor expansion of 2.0 in k 3.227 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.227 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.227 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.227 * [taylor]: Taking taylor expansion of 1.0 in k 3.227 * [taylor]: Taking taylor expansion of (log n) in k 3.227 * [taylor]: Taking taylor expansion of n in k 3.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.227 * [taylor]: Taking taylor expansion of 1.0 in k 3.227 * [taylor]: Taking taylor expansion of (log PI) in k 3.227 * [taylor]: Taking taylor expansion of PI in k 3.239 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.239 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.239 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.239 * [taylor]: Taking taylor expansion of 0.5 in k 3.239 * [taylor]: Taking taylor expansion of k in k 3.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.239 * [taylor]: Taking taylor expansion of 2.0 in k 3.239 * [taylor]: Taking taylor expansion of (* n PI) in k 3.239 * [taylor]: Taking taylor expansion of n in k 3.239 * [taylor]: Taking taylor expansion of PI in k 3.242 * [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 3.242 * [taylor]: Taking taylor expansion of 1.0 in k 3.242 * [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 3.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.242 * [taylor]: Taking taylor expansion of k in k 3.244 * [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 3.244 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.244 * [taylor]: Taking taylor expansion of 0.5 in k 3.244 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.244 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.244 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.244 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.244 * [taylor]: Taking taylor expansion of 1.0 in k 3.244 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.244 * [taylor]: Taking taylor expansion of 2.0 in k 3.246 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.246 * [taylor]: Taking taylor expansion of 1.0 in k 3.246 * [taylor]: Taking taylor expansion of (log n) in k 3.246 * [taylor]: Taking taylor expansion of n in k 3.246 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.246 * [taylor]: Taking taylor expansion of 1.0 in k 3.246 * [taylor]: Taking taylor expansion of (log PI) in k 3.246 * [taylor]: Taking taylor expansion of PI in k 3.251 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.251 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.251 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.252 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.252 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.252 * [taylor]: Taking taylor expansion of 0.5 in k 3.252 * [taylor]: Taking taylor expansion of k in k 3.252 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.252 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.252 * [taylor]: Taking taylor expansion of 2.0 in k 3.252 * [taylor]: Taking taylor expansion of (* n PI) in k 3.252 * [taylor]: Taking taylor expansion of n in k 3.252 * [taylor]: Taking taylor expansion of PI in k 3.257 * [taylor]: Taking taylor expansion of 0 in n 3.271 * [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 3.271 * [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 3.271 * [taylor]: Taking taylor expansion of +nan.0 in n 3.272 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.272 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.272 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.272 * [taylor]: Taking taylor expansion of 0.5 in n 3.272 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.272 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.272 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.272 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.272 * [taylor]: Taking taylor expansion of 1.0 in n 3.272 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.272 * [taylor]: Taking taylor expansion of 2.0 in n 3.273 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.274 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.274 * [taylor]: Taking taylor expansion of 1.0 in n 3.274 * [taylor]: Taking taylor expansion of (log n) in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.274 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.274 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.274 * [taylor]: Taking taylor expansion of 1.0 in n 3.274 * [taylor]: Taking taylor expansion of (log PI) in n 3.274 * [taylor]: Taking taylor expansion of PI in n 3.312 * [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)))))))) in n 3.312 * [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))))))) in n 3.312 * [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 3.312 * [taylor]: Taking taylor expansion of +nan.0 in n 3.312 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.312 * [taylor]: Taking taylor expansion of 0.5 in n 3.312 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.312 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.312 * [taylor]: Taking taylor expansion of 1.0 in n 3.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.312 * [taylor]: Taking taylor expansion of 2.0 in n 3.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.314 * [taylor]: Taking taylor expansion of 1.0 in n 3.314 * [taylor]: Taking taylor expansion of (log n) in n 3.314 * [taylor]: Taking taylor expansion of n in n 3.314 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.314 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.314 * [taylor]: Taking taylor expansion of 1.0 in n 3.314 * [taylor]: Taking taylor expansion of (log PI) in n 3.314 * [taylor]: Taking taylor expansion of PI in n 3.320 * [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 3.320 * [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 3.320 * [taylor]: Taking taylor expansion of +nan.0 in n 3.320 * [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 3.320 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.320 * [taylor]: Taking taylor expansion of 0.5 in n 3.320 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.320 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.320 * [taylor]: Taking taylor expansion of 1.0 in n 3.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.320 * [taylor]: Taking taylor expansion of 2.0 in n 3.322 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.322 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.322 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.322 * [taylor]: Taking taylor expansion of 1.0 in n 3.322 * [taylor]: Taking taylor expansion of (log PI) in n 3.322 * [taylor]: Taking taylor expansion of PI in n 3.324 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.324 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.324 * [taylor]: Taking taylor expansion of 1.0 in n 3.324 * [taylor]: Taking taylor expansion of (log n) in n 3.324 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.335 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.335 * [taylor]: Taking taylor expansion of 2.0 in n 3.335 * [taylor]: Taking taylor expansion of (* n PI) in n 3.335 * [taylor]: Taking taylor expansion of n in n 3.335 * [taylor]: Taking taylor expansion of PI in n 3.410 * [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))))) (- (* +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 3.410 * [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))))) (- (* +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 3.410 * [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 3.410 * [taylor]: Taking taylor expansion of +nan.0 in n 3.410 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.410 * [taylor]: Taking taylor expansion of 0.5 in n 3.411 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.411 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.411 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.411 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.411 * [taylor]: Taking taylor expansion of 1.0 in n 3.411 * [taylor]: Taking taylor expansion of (log PI) in n 3.411 * [taylor]: Taking taylor expansion of PI in n 3.412 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.413 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.413 * [taylor]: Taking taylor expansion of 1.0 in n 3.413 * [taylor]: Taking taylor expansion of (log n) in n 3.413 * [taylor]: Taking taylor expansion of n in n 3.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.413 * [taylor]: Taking taylor expansion of 1.0 in n 3.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.413 * [taylor]: Taking taylor expansion of 2.0 in n 3.426 * [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 3.426 * [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 3.426 * [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 3.426 * [taylor]: Taking taylor expansion of +nan.0 in n 3.426 * [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 3.426 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.426 * [taylor]: Taking taylor expansion of 0.5 in n 3.426 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.426 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.426 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.426 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.426 * [taylor]: Taking taylor expansion of 1.0 in n 3.426 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.426 * [taylor]: Taking taylor expansion of 2.0 in n 3.428 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.428 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.428 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.428 * [taylor]: Taking taylor expansion of 1.0 in n 3.428 * [taylor]: Taking taylor expansion of (log PI) in n 3.428 * [taylor]: Taking taylor expansion of PI in n 3.430 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.430 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.430 * [taylor]: Taking taylor expansion of 1.0 in n 3.430 * [taylor]: Taking taylor expansion of (log n) in n 3.430 * [taylor]: Taking taylor expansion of n in n 3.434 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.434 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.434 * [taylor]: Taking taylor expansion of 2.0 in n 3.434 * [taylor]: Taking taylor expansion of (* n PI) in n 3.434 * [taylor]: Taking taylor expansion of n in n 3.434 * [taylor]: Taking taylor expansion of PI in n 3.437 * [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 3.437 * [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 3.437 * [taylor]: Taking taylor expansion of +nan.0 in n 3.437 * [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 3.437 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.437 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.437 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.437 * [taylor]: Taking taylor expansion of 0.5 in n 3.437 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.437 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.437 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.437 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.438 * [taylor]: Taking taylor expansion of 1.0 in n 3.438 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.438 * [taylor]: Taking taylor expansion of 2.0 in n 3.439 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.439 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.439 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [taylor]: Taking taylor expansion of (log PI) in n 3.439 * [taylor]: Taking taylor expansion of PI in n 3.441 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.441 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.441 * [taylor]: Taking taylor expansion of 1.0 in n 3.441 * [taylor]: Taking taylor expansion of (log n) in n 3.441 * [taylor]: Taking taylor expansion of n in n 3.446 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.446 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.446 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.446 * [taylor]: Taking taylor expansion of 2.0 in n 3.446 * [taylor]: Taking taylor expansion of (* n PI) in n 3.446 * [taylor]: Taking taylor expansion of n in n 3.446 * [taylor]: Taking taylor expansion of PI in n 3.527 * [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 (k n) around 0 3.527 * [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 3.527 * [taylor]: Taking taylor expansion of 1.0 in n 3.527 * [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 3.527 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.527 * [taylor]: Taking taylor expansion of k in n 3.527 * [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 3.527 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.527 * [taylor]: Taking taylor expansion of 0.5 in n 3.527 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.527 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.528 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.528 * [taylor]: Taking taylor expansion of 1.0 in n 3.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.528 * [taylor]: Taking taylor expansion of 2.0 in n 3.529 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.529 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.529 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.529 * [taylor]: Taking taylor expansion of 1.0 in n 3.529 * [taylor]: Taking taylor expansion of (log PI) in n 3.529 * [taylor]: Taking taylor expansion of PI in n 3.531 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.531 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.531 * [taylor]: Taking taylor expansion of 1.0 in n 3.531 * [taylor]: Taking taylor expansion of (log n) in n 3.531 * [taylor]: Taking taylor expansion of n in n 3.539 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.539 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.539 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.539 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.539 * [taylor]: Taking taylor expansion of 0.5 in n 3.539 * [taylor]: Taking taylor expansion of k in n 3.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.539 * [taylor]: Taking taylor expansion of 2.0 in n 3.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.539 * [taylor]: Taking taylor expansion of PI in n 3.539 * [taylor]: Taking taylor expansion of n in n 3.543 * [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 3.543 * [taylor]: Taking taylor expansion of 1.0 in k 3.543 * [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 3.543 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.544 * [taylor]: Taking taylor expansion of k in k 3.545 * [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 3.545 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.545 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.545 * [taylor]: Taking taylor expansion of 0.5 in k 3.545 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.545 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.545 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.545 * [taylor]: Taking taylor expansion of 1.0 in k 3.545 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.545 * [taylor]: Taking taylor expansion of 2.0 in k 3.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.547 * [taylor]: Taking taylor expansion of 1.0 in k 3.547 * [taylor]: Taking taylor expansion of (log PI) in k 3.547 * [taylor]: Taking taylor expansion of PI in k 3.549 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.549 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.549 * [taylor]: Taking taylor expansion of 1.0 in k 3.549 * [taylor]: Taking taylor expansion of (log n) in k 3.549 * [taylor]: Taking taylor expansion of n in k 3.555 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.555 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.555 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.555 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.555 * [taylor]: Taking taylor expansion of 0.5 in k 3.555 * [taylor]: Taking taylor expansion of k in k 3.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.556 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.556 * [taylor]: Taking taylor expansion of 2.0 in k 3.556 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.556 * [taylor]: Taking taylor expansion of PI in k 3.556 * [taylor]: Taking taylor expansion of n in k 3.556 * [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 3.556 * [taylor]: Taking taylor expansion of 1.0 in k 3.556 * [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 3.556 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.556 * [taylor]: Taking taylor expansion of k in k 3.557 * [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 3.557 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.557 * [taylor]: Taking taylor expansion of 0.5 in k 3.557 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.557 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.557 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.558 * [taylor]: Taking taylor expansion of 1.0 in k 3.558 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.558 * [taylor]: Taking taylor expansion of 2.0 in k 3.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.560 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.560 * [taylor]: Taking taylor expansion of 1.0 in k 3.560 * [taylor]: Taking taylor expansion of (log PI) in k 3.560 * [taylor]: Taking taylor expansion of PI in k 3.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.561 * [taylor]: Taking taylor expansion of 1.0 in k 3.561 * [taylor]: Taking taylor expansion of (log n) in k 3.562 * [taylor]: Taking taylor expansion of n in k 3.568 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.568 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.568 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.568 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.568 * [taylor]: Taking taylor expansion of 0.5 in k 3.568 * [taylor]: Taking taylor expansion of k in k 3.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.569 * [taylor]: Taking taylor expansion of 2.0 in k 3.569 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.569 * [taylor]: Taking taylor expansion of PI in k 3.569 * [taylor]: Taking taylor expansion of n in k 3.572 * [taylor]: Taking taylor expansion of 0 in n 3.590 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.590 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.590 * [taylor]: Taking taylor expansion of +nan.0 in n 3.590 * [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 n))) k))))) in n 3.590 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.590 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.590 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.590 * [taylor]: Taking taylor expansion of 0.5 in n 3.590 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.590 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.590 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.590 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.590 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.590 * [taylor]: Taking taylor expansion of 1.0 in n 3.590 * [taylor]: Taking taylor expansion of (log PI) in n 3.590 * [taylor]: Taking taylor expansion of PI in n 3.592 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.592 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.592 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.592 * [taylor]: Taking taylor expansion of 1.0 in n 3.592 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.592 * [taylor]: Taking taylor expansion of 2.0 in n 3.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.594 * [taylor]: Taking taylor expansion of 1.0 in n 3.594 * [taylor]: Taking taylor expansion of (log n) in n 3.594 * [taylor]: Taking taylor expansion of n in n 3.601 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.601 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.601 * [taylor]: Taking taylor expansion of 0.5 in n 3.601 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.601 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.601 * [taylor]: Taking taylor expansion of 2.0 in n 3.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.601 * [taylor]: Taking taylor expansion of PI in n 3.601 * [taylor]: Taking taylor expansion of n in n 3.602 * [taylor]: Taking taylor expansion of k in n 3.650 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.650 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.650 * [taylor]: Taking taylor expansion of +nan.0 in n 3.650 * [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 n))) k))))) in n 3.650 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.650 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.650 * [taylor]: Taking taylor expansion of 0.5 in n 3.650 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.650 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.650 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.650 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.650 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.650 * [taylor]: Taking taylor expansion of 1.0 in n 3.650 * [taylor]: Taking taylor expansion of (log PI) in n 3.650 * [taylor]: Taking taylor expansion of PI in n 3.652 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.652 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.652 * [taylor]: Taking taylor expansion of 1.0 in n 3.652 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.652 * [taylor]: Taking taylor expansion of 2.0 in n 3.654 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.654 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.654 * [taylor]: Taking taylor expansion of 1.0 in n 3.654 * [taylor]: Taking taylor expansion of (log n) in n 3.654 * [taylor]: Taking taylor expansion of n in n 3.661 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.661 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.661 * [taylor]: Taking taylor expansion of 0.5 in n 3.661 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.661 * [taylor]: Taking taylor expansion of 2.0 in n 3.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.661 * [taylor]: Taking taylor expansion of PI in n 3.661 * [taylor]: Taking taylor expansion of n in n 3.662 * [taylor]: Taking taylor expansion of k in n 3.742 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 3.742 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.742 * [taylor]: Taking taylor expansion of +nan.0 in n 3.742 * [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 n))) k))))) in n 3.742 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.742 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.742 * [taylor]: Taking taylor expansion of 0.5 in n 3.742 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.742 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.742 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.742 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.742 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.742 * [taylor]: Taking taylor expansion of 1.0 in n 3.742 * [taylor]: Taking taylor expansion of (log PI) in n 3.742 * [taylor]: Taking taylor expansion of PI in n 3.744 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.744 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.744 * [taylor]: Taking taylor expansion of 1.0 in n 3.744 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.744 * [taylor]: Taking taylor expansion of 2.0 in n 3.746 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.746 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.746 * [taylor]: Taking taylor expansion of 1.0 in n 3.746 * [taylor]: Taking taylor expansion of (log n) in n 3.746 * [taylor]: Taking taylor expansion of n in n 3.754 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.754 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.754 * [taylor]: Taking taylor expansion of 0.5 in n 3.754 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.754 * [taylor]: Taking taylor expansion of 2.0 in n 3.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.754 * [taylor]: Taking taylor expansion of PI in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.755 * [taylor]: Taking taylor expansion of k in n 3.777 * [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 (k n) around 0 3.777 * [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 3.777 * [taylor]: Taking taylor expansion of 1.0 in n 3.777 * [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 3.777 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.777 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.777 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.777 * [taylor]: Taking taylor expansion of -1 in n 3.777 * [taylor]: Taking taylor expansion of 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 3.783 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.783 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.783 * [taylor]: Taking taylor expansion of 0.5 in n 3.783 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.783 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.783 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.783 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.783 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.783 * [taylor]: Taking taylor expansion of 1.0 in n 3.783 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.783 * [taylor]: Taking taylor expansion of -2.0 in n 3.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.785 * [taylor]: Taking taylor expansion of 1.0 in n 3.785 * [taylor]: Taking taylor expansion of (log PI) in n 3.785 * [taylor]: Taking taylor expansion of PI in n 3.793 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.793 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.793 * [taylor]: Taking taylor expansion of 1.0 in n 3.793 * [taylor]: Taking taylor expansion of (log n) in n 3.793 * [taylor]: Taking taylor expansion of n in n 3.801 * [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 3.801 * [taylor]: Taking taylor expansion of 1.0 in k 3.801 * [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 3.801 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.801 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.801 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.801 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.801 * [taylor]: Taking taylor expansion of -1 in k 3.801 * [taylor]: Taking taylor expansion of k in k 3.802 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.802 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.802 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.802 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.802 * [taylor]: Taking taylor expansion of -0.5 in k 3.802 * [taylor]: Taking taylor expansion of k in k 3.803 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.803 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.803 * [taylor]: Taking taylor expansion of -2.0 in k 3.803 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.803 * [taylor]: Taking taylor expansion of PI in k 3.803 * [taylor]: Taking taylor expansion of n in k 3.804 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.804 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.804 * [taylor]: Taking taylor expansion of 0.5 in k 3.804 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.804 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.804 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.804 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.804 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.804 * [taylor]: Taking taylor expansion of 1.0 in k 3.804 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.804 * [taylor]: Taking taylor expansion of -2.0 in k 3.806 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.806 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.806 * [taylor]: Taking taylor expansion of 1.0 in k 3.806 * [taylor]: Taking taylor expansion of (log PI) in k 3.806 * [taylor]: Taking taylor expansion of PI in k 3.808 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.808 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.808 * [taylor]: Taking taylor expansion of 1.0 in k 3.808 * [taylor]: Taking taylor expansion of (log n) in k 3.808 * [taylor]: Taking taylor expansion of n in k 3.814 * [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 3.814 * [taylor]: Taking taylor expansion of 1.0 in k 3.814 * [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 3.814 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.814 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.814 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.814 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.814 * [taylor]: Taking taylor expansion of -1 in k 3.814 * [taylor]: Taking taylor expansion of k in k 3.816 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.816 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.816 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.816 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.816 * [taylor]: Taking taylor expansion of -0.5 in k 3.816 * [taylor]: Taking taylor expansion of k in k 3.816 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.816 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.816 * [taylor]: Taking taylor expansion of -2.0 in k 3.816 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.816 * [taylor]: Taking taylor expansion of PI in k 3.816 * [taylor]: Taking taylor expansion of n in k 3.817 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.817 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.817 * [taylor]: Taking taylor expansion of 0.5 in k 3.817 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.817 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.817 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.817 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.817 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.817 * [taylor]: Taking taylor expansion of 1.0 in k 3.817 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.817 * [taylor]: Taking taylor expansion of -2.0 in k 3.819 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.819 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.819 * [taylor]: Taking taylor expansion of 1.0 in k 3.819 * [taylor]: Taking taylor expansion of (log PI) in k 3.819 * [taylor]: Taking taylor expansion of PI in k 3.821 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.821 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [taylor]: Taking taylor expansion of (log n) in k 3.821 * [taylor]: Taking taylor expansion of n in k 3.831 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.831 * [taylor]: Taking taylor expansion of +nan.0 in n 3.831 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.831 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.831 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.831 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.831 * [taylor]: Taking taylor expansion of -0.5 in n 3.831 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.831 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.831 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.831 * [taylor]: Taking taylor expansion of -2.0 in n 3.831 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.831 * [taylor]: Taking taylor expansion of PI in n 3.831 * [taylor]: Taking taylor expansion of n in n 3.832 * [taylor]: Taking taylor expansion of k in n 3.837 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.837 * [taylor]: Taking taylor expansion of 0.5 in n 3.837 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.837 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.837 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.837 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.837 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.837 * [taylor]: Taking taylor expansion of 1.0 in n 3.837 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.837 * [taylor]: Taking taylor expansion of -2.0 in n 3.839 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.839 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.839 * [taylor]: Taking taylor expansion of 1.0 in n 3.839 * [taylor]: Taking taylor expansion of (log PI) in n 3.839 * [taylor]: Taking taylor expansion of PI in n 3.841 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.841 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.841 * [taylor]: Taking taylor expansion of 1.0 in n 3.841 * [taylor]: Taking taylor expansion of (log n) in n 3.841 * [taylor]: Taking taylor expansion of n in n 3.875 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.875 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.875 * [taylor]: Taking taylor expansion of +nan.0 in n 3.875 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.875 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.875 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.875 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.875 * [taylor]: Taking taylor expansion of -0.5 in n 3.875 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.875 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.875 * [taylor]: Taking taylor expansion of -2.0 in n 3.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.875 * [taylor]: Taking taylor expansion of PI in n 3.875 * [taylor]: Taking taylor expansion of n in n 3.876 * [taylor]: Taking taylor expansion of k in n 3.881 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.881 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.888 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.888 * [taylor]: Taking taylor expansion of 0.5 in n 3.888 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.888 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.888 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.888 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.888 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.888 * [taylor]: Taking taylor expansion of 1.0 in n 3.888 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.888 * [taylor]: Taking taylor expansion of -2.0 in n 3.891 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.891 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.891 * [taylor]: Taking taylor expansion of 1.0 in n 3.891 * [taylor]: Taking taylor expansion of (log PI) in n 3.891 * [taylor]: Taking taylor expansion of PI in n 3.893 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.893 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.893 * [taylor]: Taking taylor expansion of 1.0 in n 3.893 * [taylor]: Taking taylor expansion of (log n) in n 3.893 * [taylor]: Taking taylor expansion of n in n 3.961 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 3.961 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 3.961 * [taylor]: Taking taylor expansion of +nan.0 in n 3.961 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 3.961 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.961 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.961 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.961 * [taylor]: Taking taylor expansion of -0.5 in n 3.961 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.961 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.961 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.961 * [taylor]: Taking taylor expansion of -2.0 in n 3.961 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.961 * [taylor]: Taking taylor expansion of PI in n 3.961 * [taylor]: Taking taylor expansion of n in n 3.962 * [taylor]: Taking taylor expansion of k in n 3.967 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.967 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.967 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.967 * [taylor]: Taking taylor expansion of 0.5 in n 3.967 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.967 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.967 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.967 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.967 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.967 * [taylor]: Taking taylor expansion of 1.0 in n 3.967 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.967 * [taylor]: Taking taylor expansion of -2.0 in n 3.969 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.969 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.969 * [taylor]: Taking taylor expansion of 1.0 in n 3.969 * [taylor]: Taking taylor expansion of (log PI) in n 3.969 * [taylor]: Taking taylor expansion of PI in n 3.971 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.971 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.971 * [taylor]: Taking taylor expansion of 1.0 in n 3.971 * [taylor]: Taking taylor expansion of (log n) in n 3.971 * [taylor]: Taking taylor expansion of n in n 4.001 * * * [progress]: simplifying candidates 4.005 * [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 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 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(- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) 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 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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)))))))) 4.022 * * [simplify]: iteration 0 : 1308 enodes (cost 2682 ) 4.045 * * [simplify]: iteration 1 : 5001 enodes (cost 2469 ) 4.057 * [simplify]: Simplified to: (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (expm1 (* (* 2.0 PI) n)) 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2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 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 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (* +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 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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)))) (fma +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)))))) 4.058 * * * [progress]: adding candidates to table 4.531 * * [progress]: iteration 4 / 4 4.532 * * * [progress]: picking best candidate 4.554 * * * * [pick]: Picked # 4.555 * * * [progress]: localizing error 4.581 * * * [progress]: generating rewritten candidates 4.581 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.598 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 4.603 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 4.608 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 4.617 * * * [progress]: generating series expansions 4.617 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.620 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 4.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 4.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.620 * [taylor]: Taking taylor expansion of k in k 4.621 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.621 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.621 * [taylor]: Taking taylor expansion of 0.5 in k 4.621 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.621 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.621 * [taylor]: Taking taylor expansion of 1.0 in k 4.621 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.621 * [taylor]: Taking taylor expansion of 2.0 in k 4.623 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.623 * [taylor]: Taking taylor expansion of 1.0 in k 4.623 * [taylor]: Taking taylor expansion of (log n) in k 4.623 * [taylor]: Taking taylor expansion of n in k 4.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.624 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.624 * [taylor]: Taking taylor expansion of 1.0 in k 4.624 * [taylor]: Taking taylor expansion of (log PI) in k 4.624 * [taylor]: Taking taylor expansion of PI in k 4.629 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.629 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.629 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.629 * [taylor]: Taking taylor expansion of 1.0 in k 4.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.630 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.630 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.630 * [taylor]: Taking taylor expansion of 0.5 in k 4.630 * [taylor]: Taking taylor expansion of k in k 4.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.630 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.630 * [taylor]: Taking taylor expansion of 2.0 in k 4.630 * [taylor]: Taking taylor expansion of (* n PI) in k 4.630 * [taylor]: Taking taylor expansion of n in k 4.630 * [taylor]: Taking taylor expansion of PI in k 4.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.634 * [taylor]: Taking taylor expansion of k in n 4.635 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.635 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.635 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.635 * [taylor]: Taking taylor expansion of 0.5 in n 4.635 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.635 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.635 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.635 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.635 * [taylor]: Taking taylor expansion of 1.0 in n 4.635 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.635 * [taylor]: Taking taylor expansion of 2.0 in n 4.637 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.637 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.637 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.637 * [taylor]: Taking taylor expansion of 1.0 in n 4.637 * [taylor]: Taking taylor expansion of (log n) in n 4.637 * [taylor]: Taking taylor expansion of n in n 4.637 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.637 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.637 * [taylor]: Taking taylor expansion of 1.0 in n 4.637 * [taylor]: Taking taylor expansion of (log PI) in n 4.637 * [taylor]: Taking taylor expansion of PI in n 4.643 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.643 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.643 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.643 * [taylor]: Taking taylor expansion of 1.0 in n 4.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.644 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.644 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.644 * [taylor]: Taking taylor expansion of 0.5 in n 4.644 * [taylor]: Taking taylor expansion of k in n 4.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.644 * [taylor]: Taking taylor expansion of 2.0 in n 4.644 * [taylor]: Taking taylor expansion of (* n PI) in n 4.644 * [taylor]: Taking taylor expansion of n in n 4.644 * [taylor]: Taking taylor expansion of PI in n 4.651 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.651 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.651 * [taylor]: Taking taylor expansion of k in n 4.651 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.651 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.652 * [taylor]: Taking taylor expansion of 0.5 in n 4.652 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.652 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.652 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.652 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.652 * [taylor]: Taking taylor expansion of 1.0 in n 4.652 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.652 * [taylor]: Taking taylor expansion of 2.0 in n 4.653 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.653 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.653 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.653 * [taylor]: Taking taylor expansion of 1.0 in n 4.654 * [taylor]: Taking taylor expansion of (log n) in n 4.654 * [taylor]: Taking taylor expansion of n in n 4.654 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.654 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.654 * [taylor]: Taking taylor expansion of 1.0 in n 4.654 * [taylor]: Taking taylor expansion of (log PI) in n 4.654 * [taylor]: Taking taylor expansion of PI in n 4.660 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.660 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.660 * [taylor]: Taking taylor expansion of 1.0 in n 4.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.660 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.660 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.660 * [taylor]: Taking taylor expansion of 0.5 in n 4.661 * [taylor]: Taking taylor expansion of k in n 4.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.661 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.661 * [taylor]: Taking taylor expansion of 2.0 in n 4.661 * [taylor]: Taking taylor expansion of (* n PI) in n 4.661 * [taylor]: Taking taylor expansion of n in n 4.661 * [taylor]: Taking taylor expansion of PI in n 4.679 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 4.679 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.679 * [taylor]: Taking taylor expansion of k in k 4.681 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 4.681 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 4.681 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.681 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.681 * [taylor]: Taking taylor expansion of 1.0 in k 4.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.681 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.681 * [taylor]: Taking taylor expansion of 0.5 in k 4.681 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.681 * [taylor]: Taking taylor expansion of k in k 4.681 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.681 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.681 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.681 * [taylor]: Taking taylor expansion of 2.0 in k 4.681 * [taylor]: Taking taylor expansion of PI in k 4.682 * [taylor]: Taking taylor expansion of (log n) in k 4.682 * [taylor]: Taking taylor expansion of n in k 4.690 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.690 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.690 * [taylor]: Taking taylor expansion of 0.5 in k 4.690 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.690 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.690 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.690 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.690 * [taylor]: Taking taylor expansion of 1.0 in k 4.690 * [taylor]: Taking taylor expansion of (log PI) in k 4.690 * [taylor]: Taking taylor expansion of PI in k 4.692 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.692 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.692 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.692 * [taylor]: Taking taylor expansion of 1.0 in k 4.692 * [taylor]: Taking taylor expansion of (log n) in k 4.692 * [taylor]: Taking taylor expansion of n in k 4.692 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.692 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.692 * [taylor]: Taking taylor expansion of 1.0 in k 4.692 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.692 * [taylor]: Taking taylor expansion of 2.0 in k 4.724 * [taylor]: Taking taylor expansion of 0 in k 4.791 * [taylor]: Taking taylor expansion of 0 in k 4.906 * [taylor]: Taking taylor expansion of 0 in k 5.266 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 5.266 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 5.266 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.266 * [taylor]: Taking taylor expansion of k in k 5.267 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 5.267 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.267 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.268 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.268 * [taylor]: Taking taylor expansion of 0.5 in k 5.268 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.268 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.268 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.268 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.268 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.268 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.268 * [taylor]: Taking taylor expansion of 1.0 in k 5.268 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.268 * [taylor]: Taking taylor expansion of 2.0 in k 5.269 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.269 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.269 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.269 * [taylor]: Taking taylor expansion of 1.0 in k 5.269 * [taylor]: Taking taylor expansion of (log PI) in k 5.269 * [taylor]: Taking taylor expansion of PI in k 5.271 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.271 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.271 * [taylor]: Taking taylor expansion of 1.0 in k 5.271 * [taylor]: Taking taylor expansion of (log n) in k 5.271 * [taylor]: Taking taylor expansion of n in k 5.278 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 5.278 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.278 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.278 * [taylor]: Taking taylor expansion of 1.0 in k 5.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 5.279 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 5.279 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 5.279 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.279 * [taylor]: Taking taylor expansion of 0.5 in k 5.279 * [taylor]: Taking taylor expansion of k in k 5.279 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.279 * [taylor]: Taking taylor expansion of 2.0 in k 5.279 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.279 * [taylor]: Taking taylor expansion of PI in k 5.279 * [taylor]: Taking taylor expansion of n in k 5.281 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 5.281 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.281 * [taylor]: Taking taylor expansion of k in n 5.281 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 5.281 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.281 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.281 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.281 * [taylor]: Taking taylor expansion of 0.5 in n 5.281 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.281 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.281 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.281 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.281 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.281 * [taylor]: Taking taylor expansion of 1.0 in n 5.281 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.281 * [taylor]: Taking taylor expansion of 2.0 in n 5.283 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.283 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.283 * [taylor]: Taking taylor expansion of 1.0 in n 5.283 * [taylor]: Taking taylor expansion of (log PI) in n 5.283 * [taylor]: Taking taylor expansion of PI in n 5.285 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.285 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.285 * [taylor]: Taking taylor expansion of 1.0 in n 5.285 * [taylor]: Taking taylor expansion of (log n) in n 5.285 * [taylor]: Taking taylor expansion of n in n 5.292 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.292 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.292 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.292 * [taylor]: Taking taylor expansion of 1.0 in n 5.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.293 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.293 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.293 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.293 * [taylor]: Taking taylor expansion of 0.5 in n 5.293 * [taylor]: Taking taylor expansion of k in n 5.293 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.293 * [taylor]: Taking taylor expansion of 2.0 in n 5.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.293 * [taylor]: Taking taylor expansion of PI in n 5.293 * [taylor]: Taking taylor expansion of n in n 5.298 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 5.298 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.298 * [taylor]: Taking taylor expansion of k in n 5.299 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 5.299 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.299 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.299 * [taylor]: Taking taylor expansion of 0.5 in n 5.299 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.299 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.299 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.299 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.299 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.299 * [taylor]: Taking taylor expansion of 1.0 in n 5.299 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.299 * [taylor]: Taking taylor expansion of 2.0 in n 5.300 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.301 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.301 * [taylor]: Taking taylor expansion of 1.0 in n 5.301 * [taylor]: Taking taylor expansion of (log PI) in n 5.301 * [taylor]: Taking taylor expansion of PI in n 5.302 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.302 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.302 * [taylor]: Taking taylor expansion of 1.0 in n 5.302 * [taylor]: Taking taylor expansion of (log n) in n 5.302 * [taylor]: Taking taylor expansion of n in n 5.313 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.313 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.313 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.313 * [taylor]: Taking taylor expansion of 1.0 in n 5.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.314 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.314 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.314 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.314 * [taylor]: Taking taylor expansion of 0.5 in n 5.314 * [taylor]: Taking taylor expansion of k in n 5.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.314 * [taylor]: Taking taylor expansion of 2.0 in n 5.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.314 * [taylor]: Taking taylor expansion of PI in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.324 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 5.325 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.325 * [taylor]: Taking taylor expansion of k in k 5.326 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 5.326 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.326 * [taylor]: Taking taylor expansion of 0.5 in k 5.326 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.326 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.326 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.326 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.326 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.326 * [taylor]: Taking taylor expansion of 1.0 in k 5.326 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.326 * [taylor]: Taking taylor expansion of 2.0 in k 5.328 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.328 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.328 * [taylor]: Taking taylor expansion of 1.0 in k 5.328 * [taylor]: Taking taylor expansion of (log PI) in k 5.328 * [taylor]: Taking taylor expansion of PI in k 5.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.330 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.330 * [taylor]: Taking taylor expansion of 1.0 in k 5.330 * [taylor]: Taking taylor expansion of (log n) in k 5.330 * [taylor]: Taking taylor expansion of n in k 5.336 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 5.336 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.336 * [taylor]: Taking taylor expansion of 1.0 in k 5.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 5.337 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 5.337 * [taylor]: Taking taylor expansion of 0.5 in k 5.337 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 5.337 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.337 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.337 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.337 * [taylor]: Taking taylor expansion of 2.0 in k 5.337 * [taylor]: Taking taylor expansion of PI in k 5.338 * [taylor]: Taking taylor expansion of (log n) in k 5.338 * [taylor]: Taking taylor expansion of n in k 5.338 * [taylor]: Taking taylor expansion of k in k 5.373 * [taylor]: Taking taylor expansion of 0 in k 5.435 * [taylor]: Taking taylor expansion of 0 in k 5.516 * [taylor]: Taking taylor expansion of 0 in k 5.572 * [approximate]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.572 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.572 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 5.572 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.572 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.572 * [taylor]: Taking taylor expansion of 1.0 in k 5.573 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.573 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.573 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.573 * [taylor]: Taking taylor expansion of -1 in k 5.573 * [taylor]: Taking taylor expansion of k in k 5.574 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.574 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.574 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.574 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.574 * [taylor]: Taking taylor expansion of -0.5 in k 5.574 * [taylor]: Taking taylor expansion of k in k 5.575 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.575 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.575 * [taylor]: Taking taylor expansion of -2.0 in k 5.575 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.575 * [taylor]: Taking taylor expansion of PI in k 5.575 * [taylor]: Taking taylor expansion of n in k 5.577 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.577 * [taylor]: Taking taylor expansion of 0.5 in k 5.577 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.577 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.577 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.577 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.577 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.577 * [taylor]: Taking taylor expansion of 1.0 in k 5.577 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.577 * [taylor]: Taking taylor expansion of -2.0 in k 5.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.579 * [taylor]: Taking taylor expansion of 1.0 in k 5.579 * [taylor]: Taking taylor expansion of (log PI) in k 5.579 * [taylor]: Taking taylor expansion of PI in k 5.581 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.581 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.581 * [taylor]: Taking taylor expansion of 1.0 in k 5.581 * [taylor]: Taking taylor expansion of (log n) in k 5.581 * [taylor]: Taking taylor expansion of n in k 5.588 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.588 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.588 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.588 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.588 * [taylor]: Taking taylor expansion of 1.0 in n 5.589 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.589 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.589 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.589 * [taylor]: Taking taylor expansion of -1 in n 5.589 * [taylor]: Taking taylor expansion of k in n 5.589 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.589 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.589 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.589 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.589 * [taylor]: Taking taylor expansion of -0.5 in n 5.589 * [taylor]: Taking taylor expansion of k in n 5.589 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.589 * [taylor]: Taking taylor expansion of -2.0 in n 5.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.589 * [taylor]: Taking taylor expansion of PI in n 5.589 * [taylor]: Taking taylor expansion of n in n 5.595 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.595 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.595 * [taylor]: Taking taylor expansion of 0.5 in n 5.595 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.595 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.595 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.595 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.595 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.595 * [taylor]: Taking taylor expansion of 1.0 in n 5.596 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.596 * [taylor]: Taking taylor expansion of -2.0 in n 5.597 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.597 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.597 * [taylor]: Taking taylor expansion of 1.0 in n 5.597 * [taylor]: Taking taylor expansion of (log PI) in n 5.597 * [taylor]: Taking taylor expansion of PI in n 5.599 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.599 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.599 * [taylor]: Taking taylor expansion of 1.0 in n 5.599 * [taylor]: Taking taylor expansion of (log n) in n 5.599 * [taylor]: Taking taylor expansion of n in n 5.606 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (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 5.606 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.606 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.606 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.606 * [taylor]: Taking taylor expansion of 1.0 in n 5.607 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.607 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.607 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.607 * [taylor]: Taking taylor expansion of -1 in n 5.607 * [taylor]: Taking taylor expansion of k in n 5.607 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.607 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.607 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.607 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.607 * [taylor]: Taking taylor expansion of -0.5 in n 5.607 * [taylor]: Taking taylor expansion of k in n 5.607 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.607 * [taylor]: Taking taylor expansion of -2.0 in n 5.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.607 * [taylor]: Taking taylor expansion of PI in n 5.607 * [taylor]: Taking taylor expansion of n in n 5.614 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.614 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.614 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.614 * [taylor]: Taking taylor expansion of 0.5 in n 5.614 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.614 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.614 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.614 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.614 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.614 * [taylor]: Taking taylor expansion of 1.0 in n 5.614 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.614 * [taylor]: Taking taylor expansion of -2.0 in n 5.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.616 * [taylor]: Taking taylor expansion of 1.0 in n 5.616 * [taylor]: Taking taylor expansion of (log PI) in n 5.616 * [taylor]: Taking taylor expansion of PI in n 5.617 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.618 * [taylor]: Taking taylor expansion of 1.0 in n 5.618 * [taylor]: Taking taylor expansion of (log n) in n 5.618 * [taylor]: Taking taylor expansion of n in n 5.627 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 5.627 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.627 * [taylor]: Taking taylor expansion of 0.5 in k 5.627 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.627 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.627 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.627 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.627 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.627 * [taylor]: Taking taylor expansion of 1.0 in k 5.627 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.627 * [taylor]: Taking taylor expansion of -2.0 in k 5.629 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.629 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.629 * [taylor]: Taking taylor expansion of 1.0 in k 5.629 * [taylor]: Taking taylor expansion of (log PI) in k 5.629 * [taylor]: Taking taylor expansion of PI in k 5.631 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.631 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.631 * [taylor]: Taking taylor expansion of 1.0 in k 5.631 * [taylor]: Taking taylor expansion of (log n) in k 5.631 * [taylor]: Taking taylor expansion of n in k 5.638 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 5.638 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.638 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.638 * [taylor]: Taking taylor expansion of 1.0 in k 5.639 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.639 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.639 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.639 * [taylor]: Taking taylor expansion of -0.5 in k 5.639 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.639 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.639 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.639 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.639 * [taylor]: Taking taylor expansion of -2.0 in k 5.639 * [taylor]: Taking taylor expansion of PI in k 5.640 * [taylor]: Taking taylor expansion of (log n) in k 5.640 * [taylor]: Taking taylor expansion of n in k 5.640 * [taylor]: Taking taylor expansion of k in k 5.642 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.642 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.642 * [taylor]: Taking taylor expansion of -1 in k 5.642 * [taylor]: Taking taylor expansion of k in k 5.680 * [taylor]: Taking taylor expansion of 0 in k 5.744 * [taylor]: Taking taylor expansion of 0 in k 5.790 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 5.791 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.791 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.791 * [taylor]: Taking taylor expansion of 2.0 in n 5.791 * [taylor]: Taking taylor expansion of (* n PI) in n 5.791 * [taylor]: Taking taylor expansion of n in n 5.791 * [taylor]: Taking taylor expansion of PI in n 5.791 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.791 * [taylor]: Taking taylor expansion of 2.0 in n 5.791 * [taylor]: Taking taylor expansion of (* n PI) in n 5.791 * [taylor]: Taking taylor expansion of n in n 5.791 * [taylor]: Taking taylor expansion of PI in n 5.803 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.803 * [taylor]: Taking taylor expansion of 2.0 in n 5.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.803 * [taylor]: Taking taylor expansion of PI in n 5.803 * [taylor]: Taking taylor expansion of n in n 5.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.803 * [taylor]: Taking taylor expansion of 2.0 in n 5.803 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.803 * [taylor]: Taking taylor expansion of PI in n 5.803 * [taylor]: Taking taylor expansion of n in n 5.812 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.812 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.812 * [taylor]: Taking taylor expansion of -2.0 in n 5.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.812 * [taylor]: Taking taylor expansion of PI in n 5.812 * [taylor]: Taking taylor expansion of n in n 5.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.813 * [taylor]: Taking taylor expansion of -2.0 in n 5.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.813 * [taylor]: Taking taylor expansion of PI in n 5.813 * [taylor]: Taking taylor expansion of n in n 5.824 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 5.825 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.825 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.825 * [taylor]: Taking taylor expansion of 2.0 in n 5.825 * [taylor]: Taking taylor expansion of (* n PI) in n 5.825 * [taylor]: Taking taylor expansion of n in n 5.825 * [taylor]: Taking taylor expansion of PI in n 5.825 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.825 * [taylor]: Taking taylor expansion of 2.0 in n 5.825 * [taylor]: Taking taylor expansion of (* n PI) in n 5.825 * [taylor]: Taking taylor expansion of n in n 5.825 * [taylor]: Taking taylor expansion of PI in n 5.837 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.837 * [taylor]: Taking taylor expansion of 2.0 in n 5.837 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.837 * [taylor]: Taking taylor expansion of PI in n 5.837 * [taylor]: Taking taylor expansion of n in n 5.838 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.838 * [taylor]: Taking taylor expansion of 2.0 in n 5.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.838 * [taylor]: Taking taylor expansion of PI in n 5.838 * [taylor]: Taking taylor expansion of n in n 5.847 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.847 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.847 * [taylor]: Taking taylor expansion of -2.0 in n 5.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.847 * [taylor]: Taking taylor expansion of PI in n 5.847 * [taylor]: Taking taylor expansion of n in n 5.847 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.847 * [taylor]: Taking taylor expansion of -2.0 in n 5.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.847 * [taylor]: Taking taylor expansion of PI in n 5.847 * [taylor]: Taking taylor expansion of n in n 5.855 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 5.856 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.856 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.856 * [taylor]: Taking taylor expansion of 2.0 in n 5.856 * [taylor]: Taking taylor expansion of (* n PI) in n 5.856 * [taylor]: Taking taylor expansion of n in n 5.856 * [taylor]: Taking taylor expansion of PI in n 5.856 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.856 * [taylor]: Taking taylor expansion of 2.0 in n 5.856 * [taylor]: Taking taylor expansion of (* n PI) in n 5.856 * [taylor]: Taking taylor expansion of n in n 5.856 * [taylor]: Taking taylor expansion of PI in n 5.868 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.868 * [taylor]: Taking taylor expansion of 2.0 in n 5.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.868 * [taylor]: Taking taylor expansion of PI in n 5.868 * [taylor]: Taking taylor expansion of n in n 5.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.869 * [taylor]: Taking taylor expansion of 2.0 in n 5.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.869 * [taylor]: Taking taylor expansion of PI in n 5.869 * [taylor]: Taking taylor expansion of n in n 5.877 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.877 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.877 * [taylor]: Taking taylor expansion of -2.0 in n 5.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.878 * [taylor]: Taking taylor expansion of PI in n 5.878 * [taylor]: Taking taylor expansion of n in n 5.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.878 * [taylor]: Taking taylor expansion of -2.0 in n 5.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.878 * [taylor]: Taking taylor expansion of PI in n 5.878 * [taylor]: Taking taylor expansion of n in n 5.886 * * * [progress]: simplifying candidates 5.888 * [simplify]: Simplifying using # : (expm1 (* (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))))))) (log1p (* (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))))))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (* 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 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ 1 1) (+ (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (log (* (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))))))) (exp (* (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))))))) (* (* (* (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)))))) (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))))) (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))))))) (* (cbrt (* (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))))))) (cbrt (* (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)))))))) (cbrt (* (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))))))) (* (* (* (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)))))) (* (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))))))) (* (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 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (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))))))) (sqrt (* (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))))))) (* (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ 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(+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (* (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 (* (/ (pow (sqrt 1.0) 2) (* (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 (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* k (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) (- (+ (* +nan.0 (* (/ (pow (sqrt 1.0) 2) (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))) (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (* (pow -2.0 1.0) (pow n 1.0))) (pow -1 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (pow k 2) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.904 * * [simplify]: iteration 0 : 658 enodes (cost 1713 ) 5.917 * * [simplify]: iteration 1 : 3357 enodes (cost 1460 ) 5.978 * * [simplify]: iteration 2 : 5002 enodes (cost 1368 ) 5.985 * [simplify]: Simplified to: (expm1 (* (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))))))) (log1p (* (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 1 2 1 1 (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 4) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 4) 2 (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (exp (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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) (* (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) (pow (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) 4) (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))) (pow (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 4) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 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)))))) (cbrt (/ (* 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))))) (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 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1 (/ (* 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))) (/ 1 (* (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))))) (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 (/ (* 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))))) (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))))) (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))))) (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 2 1 (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))))) (* (fabs (cbrt (/ (* 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)))))) (pow (sqrt (sqrt (/ (* 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 (sqrt k)))) (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))))) (sqrt (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (pow (sqrt (sqrt (/ (* 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))))) (pow (cbrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 4) (* (sqrt (cbrt (/ (* 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)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (* (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (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)))) (* (sqrt (/ 1 (* (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)))))) (pow (sqrt (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) 3) (/ (* 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 (/ (* 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))))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (fma (- +nan.0) (* (* (* 1.0 k) k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (* +nan.0 (pow k 2)) (* 1.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma (- +nan.0) (* (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* k (log (* 2.0 PI)))) 1.0) (fma (* +nan.0 k) (* 1.0 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) 1.0 (fma (* +nan.0 (pow k 2)) (* 1.0 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (fma (- +nan.0) (* (* k (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 1.0) (fma (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* 1.0 k) k)) (* (log (* 2.0 PI)) (log n)) (fma (- +nan.0) (* (* (* (* 1.0 k) k) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* (* 1.0 k) k) (log (* 2.0 PI))))))))))))) (fma (- +nan.0) (* (/ 1.0 (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) k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (- (* +nan.0 (/ (pow (sqrt 1.0) 2) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ (pow (sqrt 1.0) 2) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) 1.0) (* k (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (fma (/ (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) 1.0) (* (pow k 2) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- +nan.0) (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (/ (* +nan.0 1.0) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.986 * * * [progress]: adding candidates to table 6.311 * [progress]: [Phase 3 of 3] Extracting. 6.311 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 6.314 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 6.314 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 6.355 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 6.401 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 6.442 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.483 * * * [regime]: Found split indices: #