11.495 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.169 * * * [progress]: [2/2] Setting up program. 0.172 * [progress]: [Phase 2 of 3] Improving. 0.172 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.177 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.179 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.181 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.184 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.190 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.212 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.213 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.213 * * [progress]: iteration 1 / 4 0.213 * * * [progress]: picking best candidate 0.215 * * * * [pick]: Picked # 0.215 * * * [progress]: localizing error 0.229 * * * [progress]: generating rewritten candidates 0.229 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.234 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.238 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.248 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.265 * * * [progress]: generating series expansions 0.265 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.266 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.266 * [taylor]: Taking taylor expansion of 2.0 in n 0.266 * [taylor]: Taking taylor expansion of (* n PI) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of PI in n 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.266 * [taylor]: Taking taylor expansion of 2.0 in n 0.266 * [taylor]: Taking taylor expansion of (* n PI) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of PI in n 0.278 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.278 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.278 * [taylor]: Taking taylor expansion of 2.0 in n 0.278 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.278 * [taylor]: Taking taylor expansion of PI in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.279 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.279 * [taylor]: Taking taylor expansion of 2.0 in n 0.279 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.279 * [taylor]: Taking taylor expansion of PI in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.288 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of -2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of -2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.302 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.302 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 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 0.303 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.303 * [taylor]: Taking taylor expansion of 1.0 in k 0.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.303 * [taylor]: Taking taylor expansion of k in k 0.315 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.315 * [taylor]: Taking taylor expansion of 1.0 in k 0.315 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.315 * [taylor]: Taking taylor expansion of k in k 0.316 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.316 * [taylor]: Taking taylor expansion of 1.0 in k 0.316 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.316 * [taylor]: Taking taylor expansion of k in k 0.326 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.326 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.326 * [taylor]: Taking taylor expansion of 1.0 in k 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.326 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.326 * [taylor]: Taking taylor expansion of -1 in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.328 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.328 * [taylor]: Taking taylor expansion of 1.0 in k 0.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.328 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.328 * [taylor]: Taking taylor expansion of -1 in k 0.328 * [taylor]: Taking taylor expansion of k in k 0.339 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.340 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.340 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.340 * [taylor]: Taking taylor expansion of 0.5 in k 0.340 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.340 * [taylor]: Taking taylor expansion of 1.0 in k 0.340 * [taylor]: Taking taylor expansion of k in k 0.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.340 * [taylor]: Taking taylor expansion of 2.0 in k 0.340 * [taylor]: Taking taylor expansion of (* n PI) in k 0.340 * [taylor]: Taking taylor expansion of n in k 0.340 * [taylor]: Taking taylor expansion of PI in k 0.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.341 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (* n PI) in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.346 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.346 * [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 0.347 * [taylor]: Taking taylor expansion of n in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.352 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.352 * [taylor]: Taking taylor expansion of 0.5 in k 0.352 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.352 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.352 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.352 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.352 * [taylor]: Taking taylor expansion of 2.0 in k 0.352 * [taylor]: Taking taylor expansion of PI in k 0.353 * [taylor]: Taking taylor expansion of (log n) in k 0.353 * [taylor]: Taking taylor expansion of n in k 0.362 * [taylor]: Taking taylor expansion of 0 in k 0.378 * [taylor]: Taking taylor expansion of 0 in k 0.402 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.402 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.402 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.402 * [taylor]: Taking taylor expansion of 0.5 in k 0.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.403 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.403 * [taylor]: Taking taylor expansion of 2.0 in k 0.403 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.403 * [taylor]: Taking taylor expansion of PI in k 0.403 * [taylor]: Taking taylor expansion of n in k 0.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.404 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.404 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.404 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.404 * [taylor]: Taking taylor expansion of 0.5 in n 0.404 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.404 * [taylor]: Taking taylor expansion of 1.0 in n 0.404 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.404 * [taylor]: Taking taylor expansion of k in n 0.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.404 * [taylor]: Taking taylor expansion of 2.0 in n 0.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.404 * [taylor]: Taking taylor expansion of PI in n 0.404 * [taylor]: Taking taylor expansion of n in n 0.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.408 * [taylor]: Taking taylor expansion of 1.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.408 * [taylor]: Taking taylor expansion of k in n 0.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.408 * [taylor]: Taking taylor expansion of 2.0 in n 0.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.408 * [taylor]: Taking taylor expansion of PI in n 0.408 * [taylor]: Taking taylor expansion of n in n 0.412 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.412 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.412 * [taylor]: Taking taylor expansion of 0.5 in k 0.412 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.412 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.412 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.412 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.412 * [taylor]: Taking taylor expansion of 2.0 in k 0.412 * [taylor]: Taking taylor expansion of PI in k 0.413 * [taylor]: Taking taylor expansion of (log n) in k 0.413 * [taylor]: Taking taylor expansion of n in k 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.423 * [taylor]: Taking taylor expansion of 0 in k 0.430 * [taylor]: Taking taylor expansion of 0 in k 0.439 * [taylor]: Taking taylor expansion of 0 in k 0.440 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.440 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.440 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.440 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.440 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.440 * [taylor]: Taking taylor expansion of 0.5 in k 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.440 * [taylor]: Taking taylor expansion of k in k 0.441 * [taylor]: Taking taylor expansion of 1.0 in k 0.441 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.441 * [taylor]: Taking taylor expansion of -2.0 in k 0.441 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.441 * [taylor]: Taking taylor expansion of PI in k 0.441 * [taylor]: Taking taylor expansion of n in k 0.441 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.441 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.441 * [taylor]: Taking taylor expansion of 0.5 in n 0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.442 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.442 * [taylor]: Taking taylor expansion of k in n 0.442 * [taylor]: Taking taylor expansion of 1.0 in n 0.442 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.442 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.442 * [taylor]: Taking taylor expansion of -2.0 in n 0.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.442 * [taylor]: Taking taylor expansion of PI in n 0.442 * [taylor]: Taking taylor expansion of n in n 0.445 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.445 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.445 * [taylor]: Taking taylor expansion of 0.5 in n 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.445 * [taylor]: Taking taylor expansion of k in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.446 * [taylor]: Taking taylor expansion of -2.0 in n 0.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.446 * [taylor]: Taking taylor expansion of n in n 0.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.449 * [taylor]: Taking taylor expansion of 0.5 in k 0.449 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 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 0.450 * [taylor]: Taking taylor expansion of 1.0 in k 0.450 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.450 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.450 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.450 * [taylor]: Taking taylor expansion of -2.0 in k 0.450 * [taylor]: Taking taylor expansion of PI in k 0.451 * [taylor]: Taking taylor expansion of (log n) in k 0.451 * [taylor]: Taking taylor expansion of n in k 0.460 * [taylor]: Taking taylor expansion of 0 in k 0.466 * [taylor]: Taking taylor expansion of 0 in k 0.480 * [taylor]: Taking taylor expansion of 0 in k 0.481 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.482 * [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 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.482 * [taylor]: Taking taylor expansion of k in n 0.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.482 * [taylor]: Taking taylor expansion of 0.5 in n 0.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of k in n 0.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.482 * [taylor]: Taking taylor expansion of 2.0 in n 0.482 * [taylor]: Taking taylor expansion of (* n PI) in n 0.482 * [taylor]: Taking taylor expansion of n in n 0.482 * [taylor]: Taking taylor expansion of PI in n 0.488 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.488 * [taylor]: Taking taylor expansion of 1.0 in k 0.488 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.488 * [taylor]: Taking taylor expansion of k in k 0.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.489 * [taylor]: Taking taylor expansion of 0.5 in k 0.489 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.489 * [taylor]: Taking taylor expansion of 1.0 in k 0.489 * [taylor]: Taking taylor expansion of k in k 0.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.489 * [taylor]: Taking taylor expansion of 2.0 in k 0.489 * [taylor]: Taking taylor expansion of (* n PI) in k 0.489 * [taylor]: Taking taylor expansion of n in k 0.489 * [taylor]: Taking taylor expansion of PI in k 0.490 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.491 * [taylor]: Taking taylor expansion of 1.0 in k 0.491 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.491 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.491 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.492 * [taylor]: Taking taylor expansion of 0.5 in k 0.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.492 * [taylor]: Taking taylor expansion of 1.0 in k 0.492 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.492 * [taylor]: Taking taylor expansion of 2.0 in k 0.492 * [taylor]: Taking taylor expansion of (* n PI) in k 0.492 * [taylor]: Taking taylor expansion of n in k 0.492 * [taylor]: Taking taylor expansion of PI in k 0.494 * [taylor]: Taking taylor expansion of 0 in n 0.499 * [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 0.499 * [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 0.499 * [taylor]: Taking taylor expansion of +nan.0 in n 0.499 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.499 * [taylor]: Taking taylor expansion of 0.5 in n 0.499 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.499 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.499 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.499 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.499 * [taylor]: Taking taylor expansion of 1.0 in n 0.499 * [taylor]: Taking taylor expansion of (log PI) in n 0.499 * [taylor]: Taking taylor expansion of PI in n 0.501 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.501 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.501 * [taylor]: Taking taylor expansion of 1.0 in n 0.501 * [taylor]: Taking taylor expansion of (log n) in n 0.501 * [taylor]: Taking taylor expansion of n in n 0.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.521 * [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 0.521 * [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 0.521 * [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 0.521 * [taylor]: Taking taylor expansion of +nan.0 in n 0.521 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.521 * [taylor]: Taking taylor expansion of 0.5 in n 0.521 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.521 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log PI) in n 0.521 * [taylor]: Taking taylor expansion of PI in n 0.523 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.524 * [taylor]: Taking taylor expansion of 2.0 in n 0.529 * [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 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of +nan.0 in n 0.529 * [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 0.529 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.529 * [taylor]: Taking taylor expansion of 0.5 in n 0.529 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.529 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.530 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.530 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.530 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.530 * [taylor]: Taking taylor expansion of 1.0 in n 0.530 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.530 * [taylor]: Taking taylor expansion of 2.0 in n 0.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log PI) in n 0.531 * [taylor]: Taking taylor expansion of PI in n 0.533 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log n) in n 0.533 * [taylor]: Taking taylor expansion of n in n 0.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.537 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [taylor]: Taking taylor expansion of (* n PI) in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.593 * [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 0.593 * [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 0.593 * [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 0.593 * [taylor]: Taking taylor expansion of +nan.0 in n 0.593 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.593 * [taylor]: Taking taylor expansion of 0.5 in n 0.593 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.593 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.593 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.593 * [taylor]: Taking taylor expansion of 1.0 in n 0.593 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.593 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.595 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log n) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.596 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log PI) in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.601 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (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 0.601 * [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 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of +nan.0 in n 0.601 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.601 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.601 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.602 * [taylor]: Taking taylor expansion of 1.0 in n 0.602 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.602 * [taylor]: Taking taylor expansion of 2.0 in n 0.603 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.603 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (log PI) in n 0.603 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log n) in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.609 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.609 * [taylor]: Taking taylor expansion of 2.0 in n 0.610 * [taylor]: Taking taylor expansion of (* n PI) in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.612 * [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 0.613 * [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 0.613 * [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) (pow (log (* 2.0 (* n PI))) 2)) 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 0.616 * [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 (pow (log (* 2.0 (* n PI))) 2) 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 0.701 * [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 0.701 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.701 * [taylor]: Taking taylor expansion of 1.0 in n 0.701 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.701 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.701 * [taylor]: Taking taylor expansion of k in n 0.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of 2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.705 * [taylor]: Taking taylor expansion of 1.0 in k 0.705 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.705 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.705 * [taylor]: Taking taylor expansion of k in k 0.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.707 * [taylor]: Taking taylor expansion of 0.5 in k 0.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.707 * [taylor]: Taking taylor expansion of 1.0 in k 0.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.707 * [taylor]: Taking taylor expansion of k in k 0.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.707 * [taylor]: Taking taylor expansion of 2.0 in k 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.707 * [taylor]: Taking taylor expansion of PI in k 0.707 * [taylor]: Taking taylor expansion of n in k 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.708 * [taylor]: Taking taylor expansion of 1.0 in k 0.708 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.708 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.708 * [taylor]: Taking taylor expansion of k in k 0.709 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.709 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.709 * [taylor]: Taking taylor expansion of 0.5 in k 0.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.709 * [taylor]: Taking taylor expansion of 1.0 in k 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.710 * [taylor]: Taking taylor expansion of 2.0 in k 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.710 * [taylor]: Taking taylor expansion of PI in k 0.710 * [taylor]: Taking taylor expansion of n in k 0.711 * [taylor]: Taking taylor expansion of 0 in n 0.712 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.712 * [taylor]: Taking taylor expansion of 0.5 in n 0.712 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.712 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.712 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of 2.0 in n 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [taylor]: Taking taylor expansion of n 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 0.722 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.722 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.722 * [taylor]: Taking taylor expansion of +nan.0 in n 0.722 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.722 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.722 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.722 * [taylor]: Taking taylor expansion of 2.0 in n 0.722 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.722 * [taylor]: Taking taylor expansion of PI in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.723 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.723 * [taylor]: Taking taylor expansion of 1.0 in n 0.723 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.723 * [taylor]: Taking taylor expansion of k in n 0.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.740 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.740 * [taylor]: Taking taylor expansion of +nan.0 in n 0.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.740 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.740 * [taylor]: Taking taylor expansion of 0.5 in n 0.740 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.740 * [taylor]: Taking taylor expansion of 2.0 in n 0.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.740 * [taylor]: Taking taylor expansion of PI in n 0.740 * [taylor]: Taking taylor expansion of n in n 0.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.746 * [taylor]: Taking taylor expansion of 1.0 in n 0.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.746 * [taylor]: Taking taylor expansion of k in n 0.755 * [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 0.755 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.755 * [taylor]: Taking taylor expansion of 1.0 in n 0.755 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.755 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.755 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.755 * [taylor]: Taking taylor expansion of 0.5 in n 0.755 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.755 * [taylor]: Taking taylor expansion of k in n 0.755 * [taylor]: Taking taylor expansion of 1.0 in n 0.755 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.755 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.755 * [taylor]: Taking taylor expansion of -2.0 in n 0.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.755 * [taylor]: Taking taylor expansion of PI in n 0.755 * [taylor]: Taking taylor expansion of n in n 0.759 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.759 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.759 * [taylor]: Taking taylor expansion of -1 in n 0.759 * [taylor]: Taking taylor expansion of k in n 0.760 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.760 * [taylor]: Taking taylor expansion of 1.0 in k 0.760 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.760 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.760 * [taylor]: Taking taylor expansion of 0.5 in k 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.760 * [taylor]: Taking taylor expansion of k in k 0.760 * [taylor]: Taking taylor expansion of 1.0 in k 0.760 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.760 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.760 * [taylor]: Taking taylor expansion of -2.0 in k 0.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.760 * [taylor]: Taking taylor expansion of PI in k 0.760 * [taylor]: Taking taylor expansion of n in k 0.761 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.761 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.761 * [taylor]: Taking taylor expansion of -1 in k 0.761 * [taylor]: Taking taylor expansion of k in k 0.762 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.763 * [taylor]: Taking taylor expansion of 1.0 in k 0.763 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.763 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.763 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.763 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.763 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.763 * [taylor]: Taking taylor expansion of 0.5 in k 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.763 * [taylor]: Taking taylor expansion of k in k 0.763 * [taylor]: Taking taylor expansion of 1.0 in k 0.763 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.763 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.763 * [taylor]: Taking taylor expansion of -2.0 in k 0.763 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.763 * [taylor]: Taking taylor expansion of PI in k 0.763 * [taylor]: Taking taylor expansion of n in k 0.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.764 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.764 * [taylor]: Taking taylor expansion of -1 in k 0.764 * [taylor]: Taking taylor expansion of k in k 0.765 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.766 * [taylor]: Taking taylor expansion of +nan.0 in n 0.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.766 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.766 * [taylor]: Taking taylor expansion of 0.5 in n 0.766 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.766 * [taylor]: Taking taylor expansion of k in n 0.766 * [taylor]: Taking taylor expansion of 1.0 in n 0.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.766 * [taylor]: Taking taylor expansion of -2.0 in n 0.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.766 * [taylor]: Taking taylor expansion of PI in n 0.766 * [taylor]: Taking taylor expansion of n in n 0.775 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.775 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.775 * [taylor]: Taking taylor expansion of +nan.0 in n 0.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.775 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.775 * [taylor]: Taking taylor expansion of 0.5 in n 0.775 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.775 * [taylor]: Taking taylor expansion of k in n 0.775 * [taylor]: Taking taylor expansion of 1.0 in n 0.775 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.775 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.775 * [taylor]: Taking taylor expansion of -2.0 in n 0.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.775 * [taylor]: Taking taylor expansion of PI in n 0.776 * [taylor]: Taking taylor expansion of n in n 0.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.793 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.793 * [taylor]: Taking taylor expansion of +nan.0 in n 0.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.793 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.793 * [taylor]: Taking taylor expansion of 0.5 in n 0.794 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.794 * [taylor]: Taking taylor expansion of k in n 0.794 * [taylor]: Taking taylor expansion of 1.0 in n 0.794 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.794 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.794 * [taylor]: Taking taylor expansion of -2.0 in n 0.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.794 * [taylor]: Taking taylor expansion of PI in n 0.794 * [taylor]: Taking taylor expansion of n in n 0.803 * * * [progress]: simplifying candidates 0.805 * [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))))))))) 0.906 * * * [progress]: adding candidates to table 1.316 * * [progress]: iteration 2 / 4 1.316 * * * [progress]: picking best candidate 1.343 * * * * [pick]: Picked # 1.344 * * * [progress]: localizing error 1.362 * * * [progress]: generating rewritten candidates 1.362 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.375 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.399 * * * [progress]: generating series expansions 1.399 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.399 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.400 * [taylor]: Taking taylor expansion of 2.0 in n 1.400 * [taylor]: Taking taylor expansion of (* n PI) in n 1.400 * [taylor]: Taking taylor expansion of n in n 1.400 * [taylor]: Taking taylor expansion of PI in n 1.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.400 * [taylor]: Taking taylor expansion of 2.0 in n 1.400 * [taylor]: Taking taylor expansion of (* n PI) in n 1.400 * [taylor]: Taking taylor expansion of n in n 1.400 * [taylor]: Taking taylor expansion of PI in n 1.412 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.412 * [taylor]: Taking taylor expansion of 2.0 in n 1.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.412 * [taylor]: Taking taylor expansion of PI in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.412 * [taylor]: Taking taylor expansion of 2.0 in n 1.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.412 * [taylor]: Taking taylor expansion of PI in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.421 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.421 * [taylor]: Taking taylor expansion of -2.0 in n 1.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.421 * [taylor]: Taking taylor expansion of PI in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.422 * [taylor]: Taking taylor expansion of -2.0 in n 1.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.422 * [taylor]: Taking taylor expansion of PI in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.430 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.430 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.430 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.431 * [taylor]: Taking taylor expansion of 2.0 in n 1.431 * [taylor]: Taking taylor expansion of (* n PI) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.431 * [taylor]: Taking taylor expansion of 2.0 in n 1.431 * [taylor]: Taking taylor expansion of (* n PI) in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.443 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.443 * [taylor]: Taking taylor expansion of 2.0 in n 1.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.443 * [taylor]: Taking taylor expansion of PI in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.443 * [taylor]: Taking taylor expansion of 2.0 in n 1.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.443 * [taylor]: Taking taylor expansion of PI in n 1.443 * [taylor]: Taking taylor expansion of n in n 1.452 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.452 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.452 * [taylor]: Taking taylor expansion of -2.0 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.453 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.453 * [taylor]: Taking taylor expansion of -2.0 in n 1.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.453 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of n in n 1.467 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.469 * [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 1.469 * [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 1.469 * [taylor]: Taking taylor expansion of 1.0 in k 1.469 * [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 1.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.470 * [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 1.470 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.470 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.470 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.470 * [taylor]: Taking taylor expansion of 0.5 in k 1.470 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.470 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.470 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.470 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.470 * [taylor]: Taking taylor expansion of 1.0 in k 1.470 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.470 * [taylor]: Taking taylor expansion of 2.0 in k 1.472 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.472 * [taylor]: Taking taylor expansion of 1.0 in k 1.472 * [taylor]: Taking taylor expansion of (log n) in k 1.472 * [taylor]: Taking taylor expansion of n in k 1.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.472 * [taylor]: Taking taylor expansion of 1.0 in k 1.472 * [taylor]: Taking taylor expansion of (log PI) in k 1.472 * [taylor]: Taking taylor expansion of PI in k 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.478 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.478 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.478 * [taylor]: Taking taylor expansion of 0.5 in k 1.478 * [taylor]: Taking taylor expansion of k in k 1.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.478 * [taylor]: Taking taylor expansion of 2.0 in k 1.478 * [taylor]: Taking taylor expansion of (* n PI) in k 1.478 * [taylor]: Taking taylor expansion of n in k 1.478 * [taylor]: Taking taylor expansion of PI in k 1.481 * [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 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [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 1.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.481 * [taylor]: Taking taylor expansion of k in n 1.481 * [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 1.481 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.481 * [taylor]: Taking taylor expansion of 0.5 in n 1.481 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.481 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.481 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.481 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.481 * [taylor]: Taking taylor expansion of 1.0 in n 1.481 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.481 * [taylor]: Taking taylor expansion of 2.0 in n 1.483 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.483 * [taylor]: Taking taylor expansion of 1.0 in n 1.483 * [taylor]: Taking taylor expansion of (log n) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.484 * [taylor]: Taking taylor expansion of 1.0 in n 1.484 * [taylor]: Taking taylor expansion of (log PI) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.489 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.489 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.489 * [taylor]: Taking taylor expansion of 0.5 in n 1.489 * [taylor]: Taking taylor expansion of k in n 1.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.489 * [taylor]: Taking taylor expansion of 2.0 in n 1.489 * [taylor]: Taking taylor expansion of (* n PI) in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of PI in n 1.495 * [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 1.495 * [taylor]: Taking taylor expansion of 1.0 in n 1.495 * [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 1.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.495 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.495 * [taylor]: Taking taylor expansion of k in n 1.495 * [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 1.495 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.495 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.495 * [taylor]: Taking taylor expansion of 0.5 in n 1.495 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.495 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.495 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.495 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.496 * [taylor]: Taking taylor expansion of 1.0 in n 1.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.496 * [taylor]: Taking taylor expansion of 2.0 in n 1.497 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.497 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.497 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.497 * [taylor]: Taking taylor expansion of 1.0 in n 1.497 * [taylor]: Taking taylor expansion of (log n) in n 1.497 * [taylor]: Taking taylor expansion of n in n 1.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.498 * [taylor]: Taking taylor expansion of 1.0 in n 1.498 * [taylor]: Taking taylor expansion of (log PI) in n 1.498 * [taylor]: Taking taylor expansion of PI in n 1.504 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.504 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.504 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.504 * [taylor]: Taking taylor expansion of 0.5 in n 1.504 * [taylor]: Taking taylor expansion of k in n 1.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.504 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.504 * [taylor]: Taking taylor expansion of 2.0 in n 1.504 * [taylor]: Taking taylor expansion of (* n PI) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.515 * [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 1.515 * [taylor]: Taking taylor expansion of 1.0 in k 1.515 * [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 1.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.515 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.515 * [taylor]: Taking taylor expansion of k in k 1.516 * [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 1.516 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.516 * [taylor]: Taking taylor expansion of 0.5 in k 1.516 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.516 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.516 * [taylor]: Taking taylor expansion of 1.0 in k 1.516 * [taylor]: Taking taylor expansion of (log PI) in k 1.516 * [taylor]: Taking taylor expansion of PI in k 1.518 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.518 * [taylor]: Taking taylor expansion of 1.0 in k 1.518 * [taylor]: Taking taylor expansion of (log n) in k 1.518 * [taylor]: Taking taylor expansion of n in k 1.518 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.518 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.518 * [taylor]: Taking taylor expansion of 1.0 in k 1.518 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.519 * [taylor]: Taking taylor expansion of 2.0 in k 1.524 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.524 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.524 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.524 * [taylor]: Taking taylor expansion of 0.5 in k 1.524 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.524 * [taylor]: Taking taylor expansion of k in k 1.524 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.524 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.524 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.524 * [taylor]: Taking taylor expansion of 2.0 in k 1.524 * [taylor]: Taking taylor expansion of PI in k 1.525 * [taylor]: Taking taylor expansion of (log n) in k 1.525 * [taylor]: Taking taylor expansion of n in k 1.560 * [taylor]: Taking taylor expansion of 0 in k 1.611 * [taylor]: Taking taylor expansion of 0 in k 1.710 * [taylor]: Taking taylor expansion of 0 in k 1.834 * [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 1.834 * [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 1.834 * [taylor]: Taking taylor expansion of 1.0 in k 1.834 * [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 1.834 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.834 * [taylor]: Taking taylor expansion of k in k 1.835 * [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 1.835 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.835 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.835 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.835 * [taylor]: Taking taylor expansion of 0.5 in k 1.835 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.835 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.835 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.835 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.835 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.835 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.835 * [taylor]: Taking taylor expansion of 1.0 in k 1.835 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.835 * [taylor]: Taking taylor expansion of 2.0 in k 1.837 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.837 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.837 * [taylor]: Taking taylor expansion of 1.0 in k 1.837 * [taylor]: Taking taylor expansion of (log PI) in k 1.837 * [taylor]: Taking taylor expansion of PI in k 1.839 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.839 * [taylor]: Taking taylor expansion of 1.0 in k 1.839 * [taylor]: Taking taylor expansion of (log n) in k 1.839 * [taylor]: Taking taylor expansion of n in k 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.845 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.845 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.845 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.845 * [taylor]: Taking taylor expansion of 0.5 in k 1.845 * [taylor]: Taking taylor expansion of k in k 1.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.846 * [taylor]: Taking taylor expansion of 2.0 in k 1.846 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.846 * [taylor]: Taking taylor expansion of PI in k 1.846 * [taylor]: Taking taylor expansion of n in k 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of 1.0 in n 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.846 * [taylor]: Taking taylor expansion of k in n 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.846 * [taylor]: Taking taylor expansion of 0.5 in n 1.846 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.846 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.846 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.847 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.847 * [taylor]: Taking taylor expansion of 1.0 in n 1.847 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.847 * [taylor]: Taking taylor expansion of 2.0 in n 1.848 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [taylor]: Taking taylor expansion of (log PI) in n 1.848 * [taylor]: Taking taylor expansion of PI in n 1.850 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.850 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.850 * [taylor]: Taking taylor expansion of 1.0 in n 1.850 * [taylor]: Taking taylor expansion of (log n) in n 1.850 * [taylor]: Taking taylor expansion of n in n 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.857 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.857 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.857 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.857 * [taylor]: Taking taylor expansion of 0.5 in n 1.857 * [taylor]: Taking taylor expansion of k in n 1.858 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.858 * [taylor]: Taking taylor expansion of 2.0 in n 1.858 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.858 * [taylor]: Taking taylor expansion of PI in n 1.858 * [taylor]: Taking taylor expansion of n in n 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of 1.0 in n 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.862 * [taylor]: Taking taylor expansion of k in n 1.862 * [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 1.862 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.862 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.862 * [taylor]: Taking taylor expansion of 0.5 in n 1.862 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.862 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.862 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.862 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.862 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.862 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.862 * [taylor]: Taking taylor expansion of 1.0 in n 1.862 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.862 * [taylor]: Taking taylor expansion of 2.0 in n 1.864 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.864 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.864 * [taylor]: Taking taylor expansion of 1.0 in n 1.864 * [taylor]: Taking taylor expansion of (log PI) in n 1.864 * [taylor]: Taking taylor expansion of PI in n 1.866 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.866 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.866 * [taylor]: Taking taylor expansion of 1.0 in n 1.866 * [taylor]: Taking taylor expansion of (log n) in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.873 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.873 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.873 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.873 * [taylor]: Taking taylor expansion of 0.5 in n 1.873 * [taylor]: Taking taylor expansion of k in n 1.873 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.873 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.873 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.883 * [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 1.883 * [taylor]: Taking taylor expansion of 1.0 in k 1.883 * [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 1.883 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.884 * [taylor]: Taking taylor expansion of k in k 1.885 * [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 1.885 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.885 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.885 * [taylor]: Taking taylor expansion of 0.5 in k 1.885 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.885 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.885 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.885 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.885 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.885 * [taylor]: Taking taylor expansion of 1.0 in k 1.885 * [taylor]: Taking taylor expansion of (log PI) in k 1.885 * [taylor]: Taking taylor expansion of PI in k 1.887 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.887 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.887 * [taylor]: Taking taylor expansion of 1.0 in k 1.887 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.887 * [taylor]: Taking taylor expansion of 2.0 in k 1.888 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.889 * [taylor]: Taking taylor expansion of 1.0 in k 1.889 * [taylor]: Taking taylor expansion of (log n) in k 1.889 * [taylor]: Taking taylor expansion of n in k 1.895 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.895 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.895 * [taylor]: Taking taylor expansion of 0.5 in k 1.895 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.895 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.895 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.895 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.895 * [taylor]: Taking taylor expansion of 2.0 in k 1.895 * [taylor]: Taking taylor expansion of PI in k 1.896 * [taylor]: Taking taylor expansion of (log n) in k 1.896 * [taylor]: Taking taylor expansion of n in k 1.896 * [taylor]: Taking taylor expansion of k in k 1.935 * [taylor]: Taking taylor expansion of 0 in k 1.997 * [taylor]: Taking taylor expansion of 0 in k 2.080 * [taylor]: Taking taylor expansion of 0 in k 2.132 * [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 2.132 * [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 2.132 * [taylor]: Taking taylor expansion of 1.0 in k 2.133 * [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 2.133 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.133 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.133 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.133 * [taylor]: Taking taylor expansion of -1 in k 2.133 * [taylor]: Taking taylor expansion of k in k 2.134 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.134 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.134 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.134 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.134 * [taylor]: Taking taylor expansion of -0.5 in k 2.134 * [taylor]: Taking taylor expansion of k in k 2.134 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.134 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.135 * [taylor]: Taking taylor expansion of -2.0 in k 2.135 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.135 * [taylor]: Taking taylor expansion of PI in k 2.135 * [taylor]: Taking taylor expansion of n in k 2.135 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.135 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.135 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.135 * [taylor]: Taking taylor expansion of 0.5 in k 2.136 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.136 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.136 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.136 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.136 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.136 * [taylor]: Taking taylor expansion of 1.0 in k 2.136 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.136 * [taylor]: Taking taylor expansion of -2.0 in k 2.137 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.137 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.138 * [taylor]: Taking taylor expansion of 1.0 in k 2.138 * [taylor]: Taking taylor expansion of (log PI) in k 2.138 * [taylor]: Taking taylor expansion of PI in k 2.139 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.139 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.139 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.139 * [taylor]: Taking taylor expansion of 1.0 in k 2.139 * [taylor]: Taking taylor expansion of (log n) in k 2.139 * [taylor]: Taking taylor expansion of n in k 2.146 * [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 2.146 * [taylor]: Taking taylor expansion of 1.0 in n 2.146 * [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 2.146 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.146 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.146 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.146 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.146 * [taylor]: Taking taylor expansion of -1 in n 2.146 * [taylor]: Taking taylor expansion of k in n 2.146 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.146 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.146 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.146 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.146 * [taylor]: Taking taylor expansion of -0.5 in n 2.146 * [taylor]: Taking taylor expansion of k in n 2.146 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.146 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.146 * [taylor]: Taking taylor expansion of -2.0 in n 2.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.146 * [taylor]: Taking taylor expansion of PI in n 2.146 * [taylor]: Taking taylor expansion of n in n 2.151 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.151 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.151 * [taylor]: Taking taylor expansion of 0.5 in n 2.151 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.151 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.152 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.152 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.152 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.152 * [taylor]: Taking taylor expansion of 1.0 in n 2.152 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.152 * [taylor]: Taking taylor expansion of -2.0 in n 2.153 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.153 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (log PI) in n 2.153 * [taylor]: Taking taylor expansion of PI in n 2.155 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.155 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.155 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.155 * [taylor]: Taking taylor expansion of 1.0 in n 2.155 * [taylor]: Taking taylor expansion of (log n) in n 2.155 * [taylor]: Taking taylor expansion of n in n 2.169 * [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 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.169 * [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 2.169 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.169 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.169 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.169 * [taylor]: Taking taylor expansion of -1 in n 2.169 * [taylor]: Taking taylor expansion of k in n 2.169 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.169 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.169 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.169 * [taylor]: Taking taylor expansion of -0.5 in n 2.169 * [taylor]: Taking taylor expansion of k in n 2.169 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.169 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.170 * [taylor]: Taking taylor expansion of -2.0 in n 2.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.170 * [taylor]: Taking taylor expansion of PI in n 2.170 * [taylor]: Taking taylor expansion of n in n 2.175 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.175 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.175 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.175 * [taylor]: Taking taylor expansion of 1.0 in n 2.175 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.175 * [taylor]: Taking taylor expansion of -2.0 in n 2.177 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log PI) in n 2.177 * [taylor]: Taking taylor expansion of PI in n 2.179 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.179 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.179 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.179 * [taylor]: Taking taylor expansion of 1.0 in n 2.179 * [taylor]: Taking taylor expansion of (log n) in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.191 * [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 2.191 * [taylor]: Taking taylor expansion of 1.0 in k 2.191 * [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 2.191 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.191 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.191 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.191 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.191 * [taylor]: Taking taylor expansion of -0.5 in k 2.191 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.191 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.191 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.191 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.191 * [taylor]: Taking taylor expansion of -2.0 in k 2.191 * [taylor]: Taking taylor expansion of PI in k 2.192 * [taylor]: Taking taylor expansion of (log n) in k 2.192 * [taylor]: Taking taylor expansion of n in k 2.192 * [taylor]: Taking taylor expansion of k in k 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.195 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.195 * [taylor]: Taking taylor expansion of -1 in k 2.195 * [taylor]: Taking taylor expansion of k in k 2.198 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.198 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.199 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.199 * [taylor]: Taking taylor expansion of 0.5 in k 2.199 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.199 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.199 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.199 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.199 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.199 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.199 * [taylor]: Taking taylor expansion of 1.0 in k 2.199 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.199 * [taylor]: Taking taylor expansion of -2.0 in k 2.200 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.200 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.200 * [taylor]: Taking taylor expansion of 1.0 in k 2.200 * [taylor]: Taking taylor expansion of (log PI) in k 2.201 * [taylor]: Taking taylor expansion of PI in k 2.202 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.202 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.202 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.202 * [taylor]: Taking taylor expansion of 1.0 in k 2.202 * [taylor]: Taking taylor expansion of (log n) in k 2.202 * [taylor]: Taking taylor expansion of n in k 2.239 * [taylor]: Taking taylor expansion of 0 in k 2.305 * [taylor]: Taking taylor expansion of 0 in k 2.356 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.356 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.356 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.356 * [taylor]: Taking taylor expansion of 0.5 in n 2.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.357 * [taylor]: Taking taylor expansion of 2.0 in n 2.357 * [taylor]: Taking taylor expansion of (* n PI) in n 2.357 * [taylor]: Taking taylor expansion of n in n 2.357 * [taylor]: Taking taylor expansion of PI in n 2.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.362 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.362 * [taylor]: Taking taylor expansion of 0.5 in n 2.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.362 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.362 * [taylor]: Taking taylor expansion of 2.0 in n 2.362 * [taylor]: Taking taylor expansion of (* n PI) in n 2.362 * [taylor]: Taking taylor expansion of n in n 2.362 * [taylor]: Taking taylor expansion of PI in n 2.445 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.445 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.445 * [taylor]: Taking taylor expansion of 0.5 in n 2.445 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.445 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.445 * [taylor]: Taking taylor expansion of 2.0 in n 2.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.445 * [taylor]: Taking taylor expansion of PI in n 2.445 * [taylor]: Taking taylor expansion of n in n 2.448 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.449 * [taylor]: Taking taylor expansion of 0.5 in n 2.449 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.449 * [taylor]: Taking taylor expansion of 2.0 in n 2.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.449 * [taylor]: Taking taylor expansion of PI in n 2.449 * [taylor]: Taking taylor expansion of n in n 2.529 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.529 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.529 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.529 * [taylor]: Taking taylor expansion of 0.5 in n 2.529 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.529 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.529 * [taylor]: Taking taylor expansion of -2.0 in n 2.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.529 * [taylor]: Taking taylor expansion of PI in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.532 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.533 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.533 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.533 * [taylor]: Taking taylor expansion of 0.5 in n 2.533 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.533 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.533 * [taylor]: Taking taylor expansion of -2.0 in n 2.533 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.533 * [taylor]: Taking taylor expansion of PI in n 2.533 * [taylor]: Taking taylor expansion of n in n 2.611 * * * [progress]: simplifying candidates 2.613 * [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))))) 2.624 * * [simplify]: iteration 0 : 935 enodes (cost 1406 ) 2.639 * * [simplify]: iteration 1 : 4012 enodes (cost 1247 ) 2.707 * * [simplify]: iteration 2 : 5001 enodes (cost 1237 ) 2.714 * [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))))) 2.715 * * * [progress]: adding candidates to table 2.960 * * [progress]: iteration 3 / 4 2.960 * * * [progress]: picking best candidate 2.986 * * * * [pick]: Picked # 2.986 * * * [progress]: localizing error 3.004 * * * [progress]: generating rewritten candidates 3.004 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.009 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.015 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.019 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.058 * * * [progress]: generating series expansions 3.059 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.059 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.059 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.059 * [taylor]: Taking taylor expansion of 2.0 in n 3.059 * [taylor]: Taking taylor expansion of (* n PI) in n 3.059 * [taylor]: Taking taylor expansion of n in n 3.059 * [taylor]: Taking taylor expansion of PI in n 3.059 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.059 * [taylor]: Taking taylor expansion of 2.0 in n 3.060 * [taylor]: Taking taylor expansion of (* n PI) in n 3.060 * [taylor]: Taking taylor expansion of n in n 3.060 * [taylor]: Taking taylor expansion of PI in n 3.072 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.072 * [taylor]: Taking taylor expansion of 2.0 in n 3.072 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.072 * [taylor]: Taking taylor expansion of PI in n 3.072 * [taylor]: Taking taylor expansion of n in n 3.072 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.072 * [taylor]: Taking taylor expansion of 2.0 in n 3.072 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.072 * [taylor]: Taking taylor expansion of PI in n 3.072 * [taylor]: Taking taylor expansion of n in n 3.081 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.081 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.081 * [taylor]: Taking taylor expansion of -2.0 in n 3.081 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.081 * [taylor]: Taking taylor expansion of PI in n 3.081 * [taylor]: Taking taylor expansion of n in n 3.081 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.081 * [taylor]: Taking taylor expansion of -2.0 in n 3.081 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.082 * [taylor]: Taking taylor expansion of PI in n 3.082 * [taylor]: Taking taylor expansion of n in n 3.090 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.090 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.090 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.090 * [taylor]: Taking taylor expansion of 2.0 in n 3.090 * [taylor]: Taking taylor expansion of (* n PI) in n 3.090 * [taylor]: Taking taylor expansion of n in n 3.090 * [taylor]: Taking taylor expansion of PI in n 3.090 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.091 * [taylor]: Taking taylor expansion of 2.0 in n 3.091 * [taylor]: Taking taylor expansion of (* n PI) in n 3.091 * [taylor]: Taking taylor expansion of n in n 3.091 * [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 3.110 * [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 3.119 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.119 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.119 * [taylor]: Taking taylor expansion of -2.0 in n 3.119 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.119 * [taylor]: Taking taylor expansion of PI in n 3.119 * [taylor]: Taking taylor expansion of n in n 3.119 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.119 * [taylor]: Taking taylor expansion of -2.0 in n 3.119 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.119 * [taylor]: Taking taylor expansion of PI in n 3.119 * [taylor]: Taking taylor expansion of n in n 3.128 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.128 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.128 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.128 * [taylor]: Taking taylor expansion of 1.0 in k 3.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.128 * [taylor]: Taking taylor expansion of k in k 3.130 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.130 * [taylor]: Taking taylor expansion of 1.0 in k 3.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.130 * [taylor]: Taking taylor expansion of k in k 3.141 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.141 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.141 * [taylor]: Taking taylor expansion of 1.0 in k 3.141 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.141 * [taylor]: Taking taylor expansion of k in k 3.142 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.142 * [taylor]: Taking taylor expansion of 1.0 in k 3.142 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.142 * [taylor]: Taking taylor expansion of k in k 3.152 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.152 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.152 * [taylor]: Taking taylor expansion of 1.0 in k 3.152 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.152 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.152 * [taylor]: Taking taylor expansion of -1 in k 3.152 * [taylor]: Taking taylor expansion of k in k 3.154 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.154 * [taylor]: Taking taylor expansion of 1.0 in k 3.154 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.154 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.154 * [taylor]: Taking taylor expansion of -1 in k 3.154 * [taylor]: Taking taylor expansion of k in k 3.167 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.168 * [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 3.168 * [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 3.168 * [taylor]: Taking taylor expansion of 1.0 in n 3.168 * [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 3.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.168 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.168 * [taylor]: Taking taylor expansion of k in n 3.168 * [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 3.168 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.168 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.168 * [taylor]: Taking taylor expansion of 0.5 in n 3.168 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.168 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.168 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.168 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.168 * [taylor]: Taking taylor expansion of 1.0 in n 3.168 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.169 * [taylor]: Taking taylor expansion of 2.0 in n 3.170 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.170 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.170 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.170 * [taylor]: Taking taylor expansion of 1.0 in n 3.170 * [taylor]: Taking taylor expansion of (log n) in n 3.170 * [taylor]: Taking taylor expansion of n in n 3.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.171 * [taylor]: Taking taylor expansion of 1.0 in n 3.171 * [taylor]: Taking taylor expansion of (log PI) in n 3.171 * [taylor]: Taking taylor expansion of PI in n 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.176 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.176 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.176 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.176 * [taylor]: Taking taylor expansion of 0.5 in n 3.176 * [taylor]: Taking taylor expansion of k in n 3.176 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.176 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.177 * [taylor]: Taking taylor expansion of 2.0 in n 3.177 * [taylor]: Taking taylor expansion of (* n PI) in n 3.177 * [taylor]: Taking taylor expansion of n in n 3.177 * [taylor]: Taking taylor expansion of PI in n 3.182 * [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 3.182 * [taylor]: Taking taylor expansion of 1.0 in k 3.182 * [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 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.183 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.183 * [taylor]: Taking taylor expansion of k in k 3.184 * [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 3.184 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.184 * [taylor]: Taking taylor expansion of 0.5 in k 3.184 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.184 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.184 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.184 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.184 * [taylor]: Taking taylor expansion of 1.0 in k 3.184 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.184 * [taylor]: Taking taylor expansion of 2.0 in k 3.192 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.192 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.192 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.192 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.192 * [taylor]: Taking taylor expansion of 1.0 in k 3.192 * [taylor]: Taking taylor expansion of (log n) in k 3.192 * [taylor]: Taking taylor expansion of n in k 3.192 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.192 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.192 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.192 * [taylor]: Taking taylor expansion of 1.0 in k 3.192 * [taylor]: Taking taylor expansion of (log PI) in k 3.192 * [taylor]: Taking taylor expansion of PI in k 3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.198 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.198 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.198 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.198 * [taylor]: Taking taylor expansion of 0.5 in k 3.198 * [taylor]: Taking taylor expansion of k in k 3.198 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.198 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.198 * [taylor]: Taking taylor expansion of 2.0 in k 3.198 * [taylor]: Taking taylor expansion of (* n PI) in k 3.198 * [taylor]: Taking taylor expansion of n in k 3.198 * [taylor]: Taking taylor expansion of PI in k 3.201 * [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 3.201 * [taylor]: Taking taylor expansion of 1.0 in k 3.201 * [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 3.201 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.201 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.201 * [taylor]: Taking taylor expansion of k in k 3.202 * [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 3.203 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.203 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.203 * [taylor]: Taking taylor expansion of 0.5 in k 3.203 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.203 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.203 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.203 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.203 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.203 * [taylor]: Taking taylor expansion of 1.0 in k 3.203 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.203 * [taylor]: Taking taylor expansion of 2.0 in k 3.204 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.205 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.205 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.205 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.205 * [taylor]: Taking taylor expansion of 1.0 in k 3.205 * [taylor]: Taking taylor expansion of (log n) in k 3.205 * [taylor]: Taking taylor expansion of n in k 3.205 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.205 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.205 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.205 * [taylor]: Taking taylor expansion of 1.0 in k 3.205 * [taylor]: Taking taylor expansion of (log PI) in k 3.205 * [taylor]: Taking taylor expansion of PI in k 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.210 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.210 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.210 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.210 * [taylor]: Taking taylor expansion of 0.5 in k 3.211 * [taylor]: Taking taylor expansion of k in k 3.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.211 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.211 * [taylor]: Taking taylor expansion of 2.0 in k 3.211 * [taylor]: Taking taylor expansion of (* n PI) in k 3.211 * [taylor]: Taking taylor expansion of n in k 3.211 * [taylor]: Taking taylor expansion of PI in k 3.215 * [taylor]: Taking taylor expansion of 0 in n 3.230 * [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 3.230 * [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 3.230 * [taylor]: Taking taylor expansion of +nan.0 in n 3.230 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.230 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.230 * [taylor]: Taking taylor expansion of 0.5 in n 3.230 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.230 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.230 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.230 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.230 * [taylor]: Taking taylor expansion of 1.0 in n 3.230 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.230 * [taylor]: Taking taylor expansion of 2.0 in n 3.232 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.232 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.232 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.232 * [taylor]: Taking taylor expansion of 1.0 in n 3.232 * [taylor]: Taking taylor expansion of (log n) in n 3.232 * [taylor]: Taking taylor expansion of n in n 3.233 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.233 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.233 * [taylor]: Taking taylor expansion of 1.0 in n 3.233 * [taylor]: Taking taylor expansion of (log PI) in n 3.233 * [taylor]: Taking taylor expansion of PI in n 3.269 * [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 3.269 * [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 3.269 * [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 3.269 * [taylor]: Taking taylor expansion of +nan.0 in n 3.270 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.270 * [taylor]: Taking taylor expansion of 0.5 in n 3.270 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.270 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.270 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.270 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.270 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.270 * [taylor]: Taking taylor expansion of 1.0 in n 3.270 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.270 * [taylor]: Taking taylor expansion of 2.0 in n 3.271 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.271 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.271 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.272 * [taylor]: Taking taylor expansion of 1.0 in n 3.272 * [taylor]: Taking taylor expansion of (log n) in n 3.272 * [taylor]: Taking taylor expansion of n in n 3.272 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.272 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.272 * [taylor]: Taking taylor expansion of 1.0 in n 3.272 * [taylor]: Taking taylor expansion of (log PI) in n 3.272 * [taylor]: Taking taylor expansion of PI in n 3.278 * [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 3.278 * [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 3.278 * [taylor]: Taking taylor expansion of +nan.0 in n 3.278 * [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 3.278 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.278 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.283 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.283 * [taylor]: Taking taylor expansion of 0.5 in n 3.283 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.283 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.284 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.284 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.284 * [taylor]: Taking taylor expansion of 1.0 in n 3.284 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.284 * [taylor]: Taking taylor expansion of 2.0 in n 3.286 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.286 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.286 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.286 * [taylor]: Taking taylor expansion of 1.0 in n 3.286 * [taylor]: Taking taylor expansion of (log PI) in n 3.286 * [taylor]: Taking taylor expansion of PI in n 3.288 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.288 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.288 * [taylor]: Taking taylor expansion of 1.0 in n 3.288 * [taylor]: Taking taylor expansion of (log n) in n 3.288 * [taylor]: Taking taylor expansion of n in n 3.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.292 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.292 * [taylor]: Taking taylor expansion of 2.0 in n 3.292 * [taylor]: Taking taylor expansion of (* n PI) in n 3.292 * [taylor]: Taking taylor expansion of n in n 3.292 * [taylor]: Taking taylor expansion of PI in n 3.366 * [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 3.366 * [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 3.366 * [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 3.366 * [taylor]: Taking taylor expansion of +nan.0 in n 3.366 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.366 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.366 * [taylor]: Taking taylor expansion of 0.5 in n 3.366 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.366 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.366 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.366 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.366 * [taylor]: Taking taylor expansion of 1.0 in n 3.366 * [taylor]: Taking taylor expansion of (log PI) in n 3.366 * [taylor]: Taking taylor expansion of PI in n 3.374 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.374 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.374 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.374 * [taylor]: Taking taylor expansion of 1.0 in n 3.374 * [taylor]: Taking taylor expansion of (log n) in n 3.374 * [taylor]: Taking taylor expansion of n in n 3.374 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.374 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.374 * [taylor]: Taking taylor expansion of 1.0 in n 3.374 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.374 * [taylor]: Taking taylor expansion of 2.0 in n 3.380 * [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 3.380 * [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 3.380 * [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 3.380 * [taylor]: Taking taylor expansion of +nan.0 in n 3.380 * [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 3.380 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.380 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.380 * [taylor]: Taking taylor expansion of 0.5 in n 3.380 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.380 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.380 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.380 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.380 * [taylor]: Taking taylor expansion of 1.0 in n 3.380 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.380 * [taylor]: Taking taylor expansion of 2.0 in n 3.382 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.382 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.382 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.382 * [taylor]: Taking taylor expansion of 1.0 in n 3.382 * [taylor]: Taking taylor expansion of (log PI) in n 3.382 * [taylor]: Taking taylor expansion of PI in n 3.384 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.384 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.384 * [taylor]: Taking taylor expansion of 1.0 in n 3.384 * [taylor]: Taking taylor expansion of (log n) in n 3.384 * [taylor]: Taking taylor expansion of n in n 3.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.388 * [taylor]: Taking taylor expansion of 2.0 in n 3.388 * [taylor]: Taking taylor expansion of (* n PI) in n 3.388 * [taylor]: Taking taylor expansion of n in n 3.388 * [taylor]: Taking taylor expansion of PI in n 3.392 * [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 3.392 * [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 3.392 * [taylor]: Taking taylor expansion of +nan.0 in n 3.392 * [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 3.392 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.392 * [taylor]: Taking taylor expansion of 0.5 in n 3.392 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.392 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.392 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.392 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.392 * [taylor]: Taking taylor expansion of 1.0 in n 3.392 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.392 * [taylor]: Taking taylor expansion of 2.0 in n 3.394 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.394 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.394 * [taylor]: Taking taylor expansion of 1.0 in n 3.394 * [taylor]: Taking taylor expansion of (log PI) in n 3.394 * [taylor]: Taking taylor expansion of PI in n 3.395 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.396 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.396 * [taylor]: Taking taylor expansion of 1.0 in n 3.396 * [taylor]: Taking taylor expansion of (log n) in n 3.396 * [taylor]: Taking taylor expansion of n in n 3.400 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.400 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.400 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.400 * [taylor]: Taking taylor expansion of 2.0 in n 3.400 * [taylor]: Taking taylor expansion of (* n PI) in n 3.400 * [taylor]: Taking taylor expansion of n in n 3.400 * [taylor]: Taking taylor expansion of PI in n 3.481 * [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 3.481 * [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 3.481 * [taylor]: Taking taylor expansion of 1.0 in n 3.481 * [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 3.481 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.481 * [taylor]: Taking taylor expansion of k in n 3.481 * [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 3.482 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.482 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.482 * [taylor]: Taking taylor expansion of 0.5 in n 3.482 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.482 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.482 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.482 * [taylor]: Taking taylor expansion of 1.0 in n 3.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.482 * [taylor]: Taking taylor expansion of 2.0 in n 3.483 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.483 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.483 * [taylor]: Taking taylor expansion of 1.0 in n 3.484 * [taylor]: Taking taylor expansion of (log PI) in n 3.484 * [taylor]: Taking taylor expansion of PI in n 3.485 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.485 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.485 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.485 * [taylor]: Taking taylor expansion of 1.0 in n 3.485 * [taylor]: Taking taylor expansion of (log n) in n 3.485 * [taylor]: Taking taylor expansion of n in n 3.492 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.492 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.492 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.492 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.492 * [taylor]: Taking taylor expansion of 0.5 in n 3.492 * [taylor]: Taking taylor expansion of k in n 3.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.493 * [taylor]: Taking taylor expansion of 2.0 in n 3.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.493 * [taylor]: Taking taylor expansion of PI in n 3.493 * [taylor]: Taking taylor expansion of n in n 3.497 * [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 3.497 * [taylor]: Taking taylor expansion of 1.0 in k 3.497 * [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 3.497 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.497 * [taylor]: Taking taylor expansion of k in k 3.498 * [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 3.498 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.498 * [taylor]: Taking taylor expansion of 0.5 in k 3.498 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.498 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.498 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.498 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.498 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.498 * [taylor]: Taking taylor expansion of 1.0 in k 3.498 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.498 * [taylor]: Taking taylor expansion of 2.0 in k 3.500 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.500 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.500 * [taylor]: Taking taylor expansion of 1.0 in k 3.500 * [taylor]: Taking taylor expansion of (log PI) in k 3.500 * [taylor]: Taking taylor expansion of PI in k 3.502 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.502 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.502 * [taylor]: Taking taylor expansion of 1.0 in k 3.502 * [taylor]: Taking taylor expansion of (log n) in k 3.502 * [taylor]: Taking taylor expansion of n in k 3.508 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.508 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.508 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.508 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.508 * [taylor]: Taking taylor expansion of 0.5 in k 3.508 * [taylor]: Taking taylor expansion of k in k 3.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.509 * [taylor]: Taking taylor expansion of 2.0 in k 3.509 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.509 * [taylor]: Taking taylor expansion of PI in k 3.509 * [taylor]: Taking taylor expansion of n in k 3.509 * [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 3.509 * [taylor]: Taking taylor expansion of 1.0 in k 3.509 * [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 3.509 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.509 * [taylor]: Taking taylor expansion of k in k 3.510 * [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 3.510 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.510 * [taylor]: Taking taylor expansion of 0.5 in k 3.510 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.510 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.510 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.510 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.511 * [taylor]: Taking taylor expansion of 1.0 in k 3.511 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.511 * [taylor]: Taking taylor expansion of 2.0 in k 3.512 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.512 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.512 * [taylor]: Taking taylor expansion of 1.0 in k 3.512 * [taylor]: Taking taylor expansion of (log PI) in k 3.512 * [taylor]: Taking taylor expansion of PI in k 3.514 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.514 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.514 * [taylor]: Taking taylor expansion of 1.0 in k 3.514 * [taylor]: Taking taylor expansion of (log n) in k 3.514 * [taylor]: Taking taylor expansion of n in k 3.521 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.521 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.521 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.521 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.521 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.521 * [taylor]: Taking taylor expansion of 0.5 in k 3.521 * [taylor]: Taking taylor expansion of k in k 3.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.521 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.521 * [taylor]: Taking taylor expansion of 2.0 in k 3.521 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.521 * [taylor]: Taking taylor expansion of PI in k 3.521 * [taylor]: Taking taylor expansion of n in k 3.525 * [taylor]: Taking taylor expansion of 0 in n 3.542 * [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 3.542 * [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 3.542 * [taylor]: Taking taylor expansion of +nan.0 in n 3.542 * [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 3.542 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.542 * [taylor]: Taking taylor expansion of 0.5 in n 3.542 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.542 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.542 * [taylor]: Taking taylor expansion of 1.0 in n 3.542 * [taylor]: Taking taylor expansion of (log PI) in n 3.542 * [taylor]: Taking taylor expansion of PI in n 3.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.544 * [taylor]: Taking taylor expansion of 1.0 in n 3.544 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.544 * [taylor]: Taking taylor expansion of 2.0 in n 3.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.546 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.546 * [taylor]: Taking taylor expansion of 1.0 in n 3.546 * [taylor]: Taking taylor expansion of (log n) in n 3.546 * [taylor]: Taking taylor expansion of n in n 3.560 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.560 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.560 * [taylor]: Taking taylor expansion of 0.5 in n 3.560 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.560 * [taylor]: Taking taylor expansion of 2.0 in n 3.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.560 * [taylor]: Taking taylor expansion of PI in n 3.560 * [taylor]: Taking taylor expansion of n in n 3.562 * [taylor]: Taking taylor expansion of k in n 3.602 * [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 3.602 * [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 3.602 * [taylor]: Taking taylor expansion of +nan.0 in n 3.602 * [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 3.602 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.602 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.602 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.602 * [taylor]: Taking taylor expansion of 0.5 in n 3.602 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.602 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.602 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.602 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.602 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.602 * [taylor]: Taking taylor expansion of 1.0 in n 3.602 * [taylor]: Taking taylor expansion of (log PI) in n 3.602 * [taylor]: Taking taylor expansion of PI in n 3.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.604 * [taylor]: Taking taylor expansion of 1.0 in n 3.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.604 * [taylor]: Taking taylor expansion of 2.0 in n 3.606 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.606 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.606 * [taylor]: Taking taylor expansion of 1.0 in n 3.606 * [taylor]: Taking taylor expansion of (log n) in n 3.606 * [taylor]: Taking taylor expansion of n in n 3.613 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.613 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.613 * [taylor]: Taking taylor expansion of 0.5 in n 3.613 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.613 * [taylor]: Taking taylor expansion of 2.0 in n 3.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.613 * [taylor]: Taking taylor expansion of PI in n 3.613 * [taylor]: Taking taylor expansion of n in n 3.614 * [taylor]: Taking taylor expansion of k in n 3.694 * [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 3.694 * [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 3.694 * [taylor]: Taking taylor expansion of +nan.0 in n 3.694 * [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 3.694 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.694 * [taylor]: Taking taylor expansion of 0.5 in n 3.694 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.694 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.694 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.694 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.694 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.694 * [taylor]: Taking taylor expansion of 1.0 in n 3.694 * [taylor]: Taking taylor expansion of (log PI) in n 3.694 * [taylor]: Taking taylor expansion of PI in n 3.696 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.696 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.696 * [taylor]: Taking taylor expansion of 1.0 in n 3.696 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.696 * [taylor]: Taking taylor expansion of 2.0 in n 3.698 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.698 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.698 * [taylor]: Taking taylor expansion of 1.0 in n 3.698 * [taylor]: Taking taylor expansion of (log n) in n 3.698 * [taylor]: Taking taylor expansion of n in n 3.705 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.705 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.705 * [taylor]: Taking taylor expansion of 0.5 in n 3.705 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.705 * [taylor]: Taking taylor expansion of 2.0 in n 3.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.705 * [taylor]: Taking taylor expansion of PI in n 3.705 * [taylor]: Taking taylor expansion of n in n 3.706 * [taylor]: Taking taylor expansion of k in n 3.727 * [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 3.727 * [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 3.727 * [taylor]: Taking taylor expansion of 1.0 in n 3.727 * [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 3.727 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.727 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.727 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.727 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.727 * [taylor]: Taking taylor expansion of -1 in n 3.727 * [taylor]: Taking taylor expansion of k in n 3.727 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.727 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.727 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.728 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.728 * [taylor]: Taking taylor expansion of -0.5 in n 3.728 * [taylor]: Taking taylor expansion of k in n 3.728 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.728 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.728 * [taylor]: Taking taylor expansion of -2.0 in n 3.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.728 * [taylor]: Taking taylor expansion of PI in n 3.728 * [taylor]: Taking taylor expansion of n in n 3.739 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.739 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.739 * [taylor]: Taking taylor expansion of 0.5 in n 3.740 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.740 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.740 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.740 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.740 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.740 * [taylor]: Taking taylor expansion of 1.0 in n 3.740 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.740 * [taylor]: Taking taylor expansion of -2.0 in n 3.741 * [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 3.743 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.743 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.744 * [taylor]: Taking taylor expansion of 1.0 in n 3.744 * [taylor]: Taking taylor expansion of (log n) in n 3.744 * [taylor]: Taking taylor expansion of n in n 3.751 * [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 3.751 * [taylor]: Taking taylor expansion of 1.0 in k 3.751 * [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 3.751 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.751 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.751 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.751 * [taylor]: Taking taylor expansion of -1 in k 3.751 * [taylor]: Taking taylor expansion of k in k 3.752 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.752 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.752 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.752 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.752 * [taylor]: Taking taylor expansion of -0.5 in k 3.752 * [taylor]: Taking taylor expansion of k in k 3.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.753 * [taylor]: Taking taylor expansion of -2.0 in k 3.753 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.753 * [taylor]: Taking taylor expansion of PI in k 3.753 * [taylor]: Taking taylor expansion of n in k 3.754 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.754 * [taylor]: Taking taylor expansion of 0.5 in k 3.754 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.754 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.754 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.754 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.754 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.754 * [taylor]: Taking taylor expansion of 1.0 in k 3.754 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.754 * [taylor]: Taking taylor expansion of -2.0 in k 3.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.756 * [taylor]: Taking taylor expansion of 1.0 in k 3.756 * [taylor]: Taking taylor expansion of (log PI) in k 3.756 * [taylor]: Taking taylor expansion of PI in k 3.758 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.758 * [taylor]: Taking taylor expansion of 1.0 in k 3.758 * [taylor]: Taking taylor expansion of (log n) in k 3.758 * [taylor]: Taking taylor expansion of n in k 3.764 * [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 3.764 * [taylor]: Taking taylor expansion of 1.0 in k 3.764 * [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 3.764 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.764 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.764 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.764 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.764 * [taylor]: Taking taylor expansion of -1 in k 3.764 * [taylor]: Taking taylor expansion of k in k 3.766 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.766 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.766 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.766 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.766 * [taylor]: Taking taylor expansion of -0.5 in k 3.766 * [taylor]: Taking taylor expansion of k in k 3.766 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.766 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.766 * [taylor]: Taking taylor expansion of -2.0 in k 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.766 * [taylor]: Taking taylor expansion of PI in k 3.766 * [taylor]: Taking taylor expansion of n in k 3.767 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.767 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.767 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.767 * [taylor]: Taking taylor expansion of 0.5 in k 3.767 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.767 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.767 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.767 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.767 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.767 * [taylor]: Taking taylor expansion of 1.0 in k 3.767 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.767 * [taylor]: Taking taylor expansion of -2.0 in k 3.769 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.769 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.769 * [taylor]: Taking taylor expansion of 1.0 in k 3.769 * [taylor]: Taking taylor expansion of (log PI) in k 3.769 * [taylor]: Taking taylor expansion of PI in k 3.771 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.771 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.771 * [taylor]: Taking taylor expansion of 1.0 in k 3.771 * [taylor]: Taking taylor expansion of (log n) in k 3.771 * [taylor]: Taking taylor expansion of n in k 3.781 * [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 3.781 * [taylor]: Taking taylor expansion of +nan.0 in n 3.781 * [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 3.781 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.781 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.781 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.781 * [taylor]: Taking taylor expansion of -0.5 in n 3.781 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.781 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.781 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.781 * [taylor]: Taking taylor expansion of -2.0 in n 3.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.781 * [taylor]: Taking taylor expansion of PI in n 3.781 * [taylor]: Taking taylor expansion of n in n 3.782 * [taylor]: Taking taylor expansion of k in n 3.787 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.787 * [taylor]: Taking taylor expansion of 0.5 in n 3.787 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.787 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.787 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.787 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.787 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.787 * [taylor]: Taking taylor expansion of 1.0 in n 3.787 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.787 * [taylor]: Taking taylor expansion of -2.0 in n 3.789 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.789 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.789 * [taylor]: Taking taylor expansion of 1.0 in n 3.789 * [taylor]: Taking taylor expansion of (log PI) in n 3.789 * [taylor]: Taking taylor expansion of PI in n 3.791 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.791 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.791 * [taylor]: Taking taylor expansion of 1.0 in n 3.791 * [taylor]: Taking taylor expansion of (log n) in n 3.791 * [taylor]: Taking taylor expansion of n in n 3.824 * [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 3.824 * [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 3.824 * [taylor]: Taking taylor expansion of +nan.0 in n 3.824 * [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 3.824 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.824 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.824 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.824 * [taylor]: Taking taylor expansion of -0.5 in n 3.824 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.824 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.824 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.824 * [taylor]: Taking taylor expansion of -2.0 in n 3.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.824 * [taylor]: Taking taylor expansion of PI in n 3.824 * [taylor]: Taking taylor expansion of n in n 3.826 * [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 3.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.838 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.838 * [taylor]: Taking taylor expansion of 1.0 in n 3.838 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.838 * [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 3.908 * [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 3.909 * [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 3.909 * [taylor]: Taking taylor expansion of +nan.0 in n 3.909 * [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 3.909 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.909 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.909 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.909 * [taylor]: Taking taylor expansion of -0.5 in n 3.909 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.909 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.909 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.909 * [taylor]: Taking taylor expansion of -2.0 in n 3.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.909 * [taylor]: Taking taylor expansion of PI in n 3.909 * [taylor]: Taking taylor expansion of n in n 3.910 * [taylor]: Taking taylor expansion of k in n 3.915 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.915 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.915 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.915 * [taylor]: Taking taylor expansion of 0.5 in n 3.915 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.915 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.915 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.915 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.915 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.915 * [taylor]: Taking taylor expansion of 1.0 in n 3.915 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.915 * [taylor]: Taking taylor expansion of -2.0 in n 3.923 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.924 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.924 * [taylor]: Taking taylor expansion of 1.0 in n 3.924 * [taylor]: Taking taylor expansion of (log PI) in n 3.924 * [taylor]: Taking taylor expansion of PI in n 3.926 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.926 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.926 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.926 * [taylor]: Taking taylor expansion of 1.0 in n 3.926 * [taylor]: Taking taylor expansion of (log n) in n 3.926 * [taylor]: Taking taylor expansion of n in n 3.948 * * * [progress]: simplifying candidates 3.952 * [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 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (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) (/ 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) (* (* (sqrt k) (sqrt k)) (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)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (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) 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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 (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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow 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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)))))))) 3.968 * * [simplify]: iteration 0 : 1308 enodes (cost 2682 ) 3.988 * * [simplify]: iteration 1 : 5001 enodes (cost 2469 ) 4.001 * [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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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)))))) 4.002 * * * [progress]: adding candidates to table 4.482 * * [progress]: iteration 4 / 4 4.482 * * * [progress]: picking best candidate 4.506 * * * * [pick]: Picked # 4.506 * * * [progress]: localizing error 4.533 * * * [progress]: generating rewritten candidates 4.533 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.551 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1) 4.557 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2 1) 4.562 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1) 4.570 * * * [progress]: generating series expansions 4.570 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.573 * [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 4.573 * [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 4.573 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.573 * [taylor]: Taking taylor expansion of k in k 4.575 * [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 4.575 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.575 * [taylor]: Taking taylor expansion of 0.5 in k 4.575 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.575 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.575 * [taylor]: Taking taylor expansion of 1.0 in k 4.575 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.575 * [taylor]: Taking taylor expansion of 2.0 in k 4.577 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.577 * [taylor]: Taking taylor expansion of 1.0 in k 4.577 * [taylor]: Taking taylor expansion of (log n) in k 4.577 * [taylor]: Taking taylor expansion of n in k 4.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.577 * [taylor]: Taking taylor expansion of 1.0 in k 4.577 * [taylor]: Taking taylor expansion of (log PI) in k 4.577 * [taylor]: Taking taylor expansion of PI in k 4.583 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.583 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.583 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.583 * [taylor]: Taking taylor expansion of 1.0 in k 4.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.583 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.583 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.583 * [taylor]: Taking taylor expansion of 0.5 in k 4.583 * [taylor]: Taking taylor expansion of k in k 4.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.584 * [taylor]: Taking taylor expansion of 2.0 in k 4.584 * [taylor]: Taking taylor expansion of (* n PI) in k 4.584 * [taylor]: Taking taylor expansion of n in k 4.584 * [taylor]: Taking taylor expansion of PI in k 4.588 * [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 4.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.588 * [taylor]: Taking taylor expansion of k in n 4.588 * [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 4.588 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.588 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.588 * [taylor]: Taking taylor expansion of 0.5 in n 4.589 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.589 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.589 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.589 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.589 * [taylor]: Taking taylor expansion of 1.0 in n 4.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.589 * [taylor]: Taking taylor expansion of 2.0 in n 4.590 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.590 * [taylor]: Taking taylor expansion of 1.0 in n 4.590 * [taylor]: Taking taylor expansion of (log n) in n 4.591 * [taylor]: Taking taylor expansion of n in n 4.591 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.591 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.591 * [taylor]: Taking taylor expansion of 1.0 in n 4.591 * [taylor]: Taking taylor expansion of (log PI) in n 4.591 * [taylor]: Taking taylor expansion of PI in n 4.597 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.597 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.597 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.597 * [taylor]: Taking taylor expansion of 1.0 in n 4.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.598 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.598 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.598 * [taylor]: Taking taylor expansion of 0.5 in n 4.598 * [taylor]: Taking taylor expansion of k in n 4.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.598 * [taylor]: Taking taylor expansion of 2.0 in n 4.598 * [taylor]: Taking taylor expansion of (* n PI) in n 4.598 * [taylor]: Taking taylor expansion of n in n 4.598 * [taylor]: Taking taylor expansion of PI in n 4.605 * [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 4.605 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.605 * [taylor]: Taking taylor expansion of k in n 4.606 * [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 4.606 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.606 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.606 * [taylor]: Taking taylor expansion of 0.5 in n 4.606 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.606 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.606 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.606 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.606 * [taylor]: Taking taylor expansion of 1.0 in n 4.606 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.606 * [taylor]: Taking taylor expansion of 2.0 in n 4.607 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.608 * [taylor]: Taking taylor expansion of 1.0 in n 4.608 * [taylor]: Taking taylor expansion of (log n) in n 4.608 * [taylor]: Taking taylor expansion of n in n 4.608 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.608 * [taylor]: Taking taylor expansion of 1.0 in n 4.608 * [taylor]: Taking taylor expansion of (log PI) in n 4.608 * [taylor]: Taking taylor expansion of PI in n 4.614 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.614 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 4.614 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.614 * [taylor]: Taking taylor expansion of 1.0 in n 4.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.614 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.614 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.615 * [taylor]: Taking taylor expansion of 0.5 in n 4.615 * [taylor]: Taking taylor expansion of k in n 4.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.615 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.615 * [taylor]: Taking taylor expansion of 2.0 in n 4.615 * [taylor]: Taking taylor expansion of (* n PI) in n 4.615 * [taylor]: Taking taylor expansion of n in n 4.615 * [taylor]: Taking taylor expansion of PI in n 4.632 * [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 4.633 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.633 * [taylor]: Taking taylor expansion of k in k 4.634 * [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 4.634 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 4.634 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 4.634 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.634 * [taylor]: Taking taylor expansion of 1.0 in k 4.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.635 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.635 * [taylor]: Taking taylor expansion of 0.5 in k 4.635 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.635 * [taylor]: Taking taylor expansion of k in k 4.635 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.635 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.635 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.635 * [taylor]: Taking taylor expansion of 2.0 in k 4.635 * [taylor]: Taking taylor expansion of PI in k 4.636 * [taylor]: Taking taylor expansion of (log n) in k 4.636 * [taylor]: Taking taylor expansion of n in k 4.643 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 4.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.644 * [taylor]: Taking taylor expansion of 0.5 in k 4.644 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.644 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.644 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.644 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.644 * [taylor]: Taking taylor expansion of 1.0 in k 4.644 * [taylor]: Taking taylor expansion of (log PI) in k 4.644 * [taylor]: Taking taylor expansion of PI in k 4.646 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.646 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.646 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.646 * [taylor]: Taking taylor expansion of 1.0 in k 4.646 * [taylor]: Taking taylor expansion of (log n) in k 4.646 * [taylor]: Taking taylor expansion of n in k 4.646 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.646 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.646 * [taylor]: Taking taylor expansion of 1.0 in k 4.646 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.646 * [taylor]: Taking taylor expansion of 2.0 in k 4.678 * [taylor]: Taking taylor expansion of 0 in k 4.745 * [taylor]: Taking taylor expansion of 0 in k 4.860 * [taylor]: Taking taylor expansion of 0 in k 5.014 * [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 5.014 * [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 5.014 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.014 * [taylor]: Taking taylor expansion of k in k 5.015 * [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 5.015 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.015 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.015 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.015 * [taylor]: Taking taylor expansion of 0.5 in k 5.015 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.015 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.015 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.015 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.015 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.015 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.015 * [taylor]: Taking taylor expansion of 1.0 in k 5.015 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.016 * [taylor]: Taking taylor expansion of 2.0 in k 5.017 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.017 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.017 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.017 * [taylor]: Taking taylor expansion of 1.0 in k 5.017 * [taylor]: Taking taylor expansion of (log PI) in k 5.017 * [taylor]: Taking taylor expansion of PI in k 5.019 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.019 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.019 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.019 * [taylor]: Taking taylor expansion of 1.0 in k 5.019 * [taylor]: Taking taylor expansion of (log n) in k 5.019 * [taylor]: Taking taylor expansion of n in k 5.026 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 5.026 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.026 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.026 * [taylor]: Taking taylor expansion of 1.0 in k 5.027 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 5.027 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 5.027 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 5.027 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.027 * [taylor]: Taking taylor expansion of 0.5 in k 5.027 * [taylor]: Taking taylor expansion of k in k 5.027 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.027 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.027 * [taylor]: Taking taylor expansion of 2.0 in k 5.027 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.027 * [taylor]: Taking taylor expansion of PI in k 5.027 * [taylor]: Taking taylor expansion of n in k 5.029 * [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 5.029 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.029 * [taylor]: Taking taylor expansion of k in n 5.029 * [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 5.029 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.029 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.029 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.029 * [taylor]: Taking taylor expansion of 0.5 in n 5.029 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.029 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.029 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.029 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.029 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.029 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.029 * [taylor]: Taking taylor expansion of 1.0 in n 5.029 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.029 * [taylor]: Taking taylor expansion of 2.0 in n 5.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.031 * [taylor]: Taking taylor expansion of 1.0 in n 5.031 * [taylor]: Taking taylor expansion of (log PI) in n 5.031 * [taylor]: Taking taylor expansion of PI in n 5.033 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.033 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.033 * [taylor]: Taking taylor expansion of 1.0 in n 5.033 * [taylor]: Taking taylor expansion of (log n) in n 5.033 * [taylor]: Taking taylor expansion of n in n 5.040 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.040 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.040 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.040 * [taylor]: Taking taylor expansion of 1.0 in n 5.040 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.041 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.041 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.041 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.041 * [taylor]: Taking taylor expansion of 0.5 in n 5.041 * [taylor]: Taking taylor expansion of k in n 5.041 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.041 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.041 * [taylor]: Taking taylor expansion of 2.0 in n 5.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.041 * [taylor]: Taking taylor expansion of PI in n 5.041 * [taylor]: Taking taylor expansion of n in n 5.046 * [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 5.046 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.047 * [taylor]: Taking taylor expansion of k in n 5.047 * [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 5.047 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.047 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.047 * [taylor]: Taking taylor expansion of 0.5 in n 5.047 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.047 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.047 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.047 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.047 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.047 * [taylor]: Taking taylor expansion of 1.0 in n 5.047 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.047 * [taylor]: Taking taylor expansion of 2.0 in n 5.049 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.049 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.049 * [taylor]: Taking taylor expansion of 1.0 in n 5.049 * [taylor]: Taking taylor expansion of (log PI) in n 5.049 * [taylor]: Taking taylor expansion of PI in n 5.050 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.050 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.051 * [taylor]: Taking taylor expansion of 1.0 in n 5.051 * [taylor]: Taking taylor expansion of (log n) in n 5.051 * [taylor]: Taking taylor expansion of n in n 5.063 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.063 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.063 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.063 * [taylor]: Taking taylor expansion of 1.0 in n 5.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.064 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.064 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.064 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.064 * [taylor]: Taking taylor expansion of 0.5 in n 5.064 * [taylor]: Taking taylor expansion of k in n 5.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.064 * [taylor]: Taking taylor expansion of 2.0 in n 5.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.064 * [taylor]: Taking taylor expansion of PI in n 5.064 * [taylor]: Taking taylor expansion of n in n 5.075 * [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 5.075 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.075 * [taylor]: Taking taylor expansion of k in k 5.076 * [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 5.076 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.076 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.076 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.076 * [taylor]: Taking taylor expansion of 0.5 in k 5.076 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.076 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.076 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.076 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.077 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.077 * [taylor]: Taking taylor expansion of 1.0 in k 5.077 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.077 * [taylor]: Taking taylor expansion of 2.0 in k 5.078 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.078 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.078 * [taylor]: Taking taylor expansion of 1.0 in k 5.078 * [taylor]: Taking taylor expansion of (log PI) in k 5.078 * [taylor]: Taking taylor expansion of PI in k 5.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.080 * [taylor]: Taking taylor expansion of 1.0 in k 5.080 * [taylor]: Taking taylor expansion of (log n) in k 5.080 * [taylor]: Taking taylor expansion of n in k 5.087 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 5.087 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.087 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.087 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 5.088 * [taylor]: Taking taylor expansion of 0.5 in k 5.088 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 5.088 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.088 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.088 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.088 * [taylor]: Taking taylor expansion of 2.0 in k 5.088 * [taylor]: Taking taylor expansion of PI in k 5.089 * [taylor]: Taking taylor expansion of (log n) in k 5.089 * [taylor]: Taking taylor expansion of n in k 5.089 * [taylor]: Taking taylor expansion of k in k 5.125 * [taylor]: Taking taylor expansion of 0 in k 5.192 * [taylor]: Taking taylor expansion of 0 in k 5.277 * [taylor]: Taking taylor expansion of 0 in k 5.336 * [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 5.336 * [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 5.336 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 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 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 5.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.337 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.337 * [taylor]: Taking taylor expansion of -1 in k 5.337 * [taylor]: Taking taylor expansion of k in k 5.338 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 5.338 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 5.338 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 5.338 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.338 * [taylor]: Taking taylor expansion of -0.5 in k 5.338 * [taylor]: Taking taylor expansion of k in k 5.339 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.339 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.339 * [taylor]: Taking taylor expansion of -2.0 in k 5.339 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.339 * [taylor]: Taking taylor expansion of PI in k 5.339 * [taylor]: Taking taylor expansion of n in k 5.341 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.341 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.341 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.341 * [taylor]: Taking taylor expansion of 0.5 in k 5.341 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.341 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.341 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.341 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.341 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.341 * [taylor]: Taking taylor expansion of 1.0 in k 5.341 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.341 * [taylor]: Taking taylor expansion of -2.0 in k 5.343 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.343 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.343 * [taylor]: Taking taylor expansion of 1.0 in k 5.343 * [taylor]: Taking taylor expansion of (log PI) in k 5.343 * [taylor]: Taking taylor expansion of PI in k 5.345 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.345 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.345 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.345 * [taylor]: Taking taylor expansion of 1.0 in k 5.345 * [taylor]: Taking taylor expansion of (log n) in k 5.345 * [taylor]: Taking taylor expansion of n in k 5.352 * [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 5.352 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.352 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.352 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.352 * [taylor]: Taking taylor expansion of 1.0 in n 5.353 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.353 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.353 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.353 * [taylor]: Taking taylor expansion of -1 in n 5.353 * [taylor]: Taking taylor expansion of k in n 5.353 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.353 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.353 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.353 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.353 * [taylor]: Taking taylor expansion of -0.5 in n 5.353 * [taylor]: Taking taylor expansion of k in n 5.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.353 * [taylor]: Taking taylor expansion of -2.0 in n 5.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.353 * [taylor]: Taking taylor expansion of PI in n 5.353 * [taylor]: Taking taylor expansion of n in n 5.359 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.360 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.360 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.360 * [taylor]: Taking taylor expansion of 0.5 in n 5.360 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.360 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.360 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.360 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.360 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.360 * [taylor]: Taking taylor expansion of 1.0 in n 5.360 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.360 * [taylor]: Taking taylor expansion of -2.0 in n 5.361 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.362 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.362 * [taylor]: Taking taylor expansion of 1.0 in n 5.362 * [taylor]: Taking taylor expansion of (log PI) in n 5.362 * [taylor]: Taking taylor expansion of PI in n 5.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.363 * [taylor]: Taking taylor expansion of 1.0 in n 5.363 * [taylor]: Taking taylor expansion of (log n) in n 5.363 * [taylor]: Taking taylor expansion of n in n 5.370 * [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 5.371 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 5.371 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 5.371 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 5.371 * [taylor]: Taking taylor expansion of 1.0 in n 5.371 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 5.371 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.371 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.371 * [taylor]: Taking taylor expansion of -1 in n 5.371 * [taylor]: Taking taylor expansion of k in n 5.372 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 5.372 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 5.372 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 5.372 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.372 * [taylor]: Taking taylor expansion of -0.5 in n 5.372 * [taylor]: Taking taylor expansion of k in n 5.372 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.372 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.372 * [taylor]: Taking taylor expansion of -2.0 in n 5.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.372 * [taylor]: Taking taylor expansion of PI in n 5.372 * [taylor]: Taking taylor expansion of n in n 5.378 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.378 * [taylor]: Taking taylor expansion of 0.5 in n 5.378 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.378 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.378 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.378 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.378 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.378 * [taylor]: Taking taylor expansion of 1.0 in n 5.378 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.378 * [taylor]: Taking taylor expansion of -2.0 in n 5.380 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.380 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.380 * [taylor]: Taking taylor expansion of 1.0 in n 5.380 * [taylor]: Taking taylor expansion of (log PI) in n 5.380 * [taylor]: Taking taylor expansion of PI in n 5.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.382 * [taylor]: Taking taylor expansion of 1.0 in n 5.382 * [taylor]: Taking taylor expansion of (log n) in n 5.382 * [taylor]: Taking taylor expansion of n in n 5.392 * [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 5.392 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.392 * [taylor]: Taking taylor expansion of 0.5 in k 5.392 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.392 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.392 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.392 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.392 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.392 * [taylor]: Taking taylor expansion of 1.0 in k 5.392 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.392 * [taylor]: Taking taylor expansion of -2.0 in k 5.394 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.394 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.394 * [taylor]: Taking taylor expansion of 1.0 in k 5.394 * [taylor]: Taking taylor expansion of (log PI) in k 5.394 * [taylor]: Taking taylor expansion of PI in k 5.396 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.396 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.396 * [taylor]: Taking taylor expansion of 1.0 in k 5.396 * [taylor]: Taking taylor expansion of (log n) in k 5.396 * [taylor]: Taking taylor expansion of n in k 5.402 * [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 5.403 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 5.403 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 5.403 * [taylor]: Taking taylor expansion of 1.0 in k 5.403 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 5.403 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 5.403 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 5.403 * [taylor]: Taking taylor expansion of -0.5 in k 5.403 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 5.403 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.403 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.403 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.403 * [taylor]: Taking taylor expansion of -2.0 in k 5.403 * [taylor]: Taking taylor expansion of PI in k 5.404 * [taylor]: Taking taylor expansion of (log n) in k 5.404 * [taylor]: Taking taylor expansion of n in k 5.404 * [taylor]: Taking taylor expansion of k in k 5.407 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.407 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.407 * [taylor]: Taking taylor expansion of -1 in k 5.407 * [taylor]: Taking taylor expansion of k in k 5.448 * [taylor]: Taking taylor expansion of 0 in k 5.514 * [taylor]: Taking taylor expansion of 0 in k 5.561 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1) 5.562 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.562 * [taylor]: Taking taylor expansion of 2.0 in n 5.562 * [taylor]: Taking taylor expansion of (* n PI) in n 5.562 * [taylor]: Taking taylor expansion of n in n 5.562 * [taylor]: Taking taylor expansion of PI in n 5.562 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.562 * [taylor]: Taking taylor expansion of 2.0 in n 5.562 * [taylor]: Taking taylor expansion of (* n PI) in n 5.562 * [taylor]: Taking taylor expansion of n in n 5.562 * [taylor]: Taking taylor expansion of PI in n 5.574 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.574 * [taylor]: Taking taylor expansion of 2.0 in n 5.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.574 * [taylor]: Taking taylor expansion of PI in n 5.574 * [taylor]: Taking taylor expansion of n in n 5.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.574 * [taylor]: Taking taylor expansion of 2.0 in n 5.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.574 * [taylor]: Taking taylor expansion of PI in n 5.574 * [taylor]: Taking taylor expansion of n in n 5.583 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.583 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.584 * [taylor]: Taking taylor expansion of -2.0 in n 5.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.584 * [taylor]: Taking taylor expansion of PI in n 5.584 * [taylor]: Taking taylor expansion of n in n 5.591 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.591 * [taylor]: Taking taylor expansion of -2.0 in n 5.591 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.591 * [taylor]: Taking taylor expansion of PI in n 5.591 * [taylor]: Taking taylor expansion of n in n 5.599 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2 1) 5.600 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.600 * [taylor]: Taking taylor expansion of 2.0 in n 5.600 * [taylor]: Taking taylor expansion of (* n PI) in n 5.600 * [taylor]: Taking taylor expansion of n in n 5.600 * [taylor]: Taking taylor expansion of PI in n 5.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.600 * [taylor]: Taking taylor expansion of 2.0 in n 5.600 * [taylor]: Taking taylor expansion of (* n PI) in n 5.600 * [taylor]: Taking taylor expansion of n in n 5.600 * [taylor]: Taking taylor expansion of PI in n 5.612 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.612 * [taylor]: Taking taylor expansion of 2.0 in n 5.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.612 * [taylor]: Taking taylor expansion of PI in n 5.612 * [taylor]: Taking taylor expansion of n in n 5.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.613 * [taylor]: Taking taylor expansion of 2.0 in n 5.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.613 * [taylor]: Taking taylor expansion of PI in n 5.613 * [taylor]: Taking taylor expansion of n in n 5.622 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.622 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.622 * [taylor]: Taking taylor expansion of -2.0 in n 5.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.622 * [taylor]: Taking taylor expansion of PI in n 5.622 * [taylor]: Taking taylor expansion of n in n 5.622 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.622 * [taylor]: Taking taylor expansion of -2.0 in n 5.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.622 * [taylor]: Taking taylor expansion of PI in n 5.622 * [taylor]: Taking taylor expansion of n in n 5.631 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1) 5.631 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.631 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.631 * [taylor]: Taking taylor expansion of 2.0 in n 5.631 * [taylor]: Taking taylor expansion of (* n PI) in n 5.631 * [taylor]: Taking taylor expansion of n in n 5.631 * [taylor]: Taking taylor expansion of PI in n 5.631 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.631 * [taylor]: Taking taylor expansion of 2.0 in n 5.631 * [taylor]: Taking taylor expansion of (* n PI) in n 5.631 * [taylor]: Taking taylor expansion of n in n 5.631 * [taylor]: Taking taylor expansion of PI in n 5.643 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.644 * [taylor]: Taking taylor expansion of 2.0 in n 5.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.644 * [taylor]: Taking taylor expansion of PI in n 5.644 * [taylor]: Taking taylor expansion of n in n 5.644 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.644 * [taylor]: Taking taylor expansion of 2.0 in n 5.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.644 * [taylor]: Taking taylor expansion of PI in n 5.644 * [taylor]: Taking taylor expansion of n in n 5.653 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.653 * [taylor]: Taking taylor expansion of -2.0 in n 5.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.653 * [taylor]: Taking taylor expansion of PI in n 5.653 * [taylor]: Taking taylor expansion of n in n 5.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.653 * [taylor]: Taking taylor expansion of -2.0 in n 5.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.653 * [taylor]: Taking taylor expansion of PI in n 5.653 * [taylor]: Taking taylor expansion of n in n 5.662 * * * [progress]: simplifying candidates 5.664 * [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) (/ 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) (/ k 2.0))))))) (* (sqrt (* (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 (* (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 (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (sqrt (sqrt (/ 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n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.682 * * [simplify]: iteration 0 : 658 enodes (cost 1713 ) 5.696 * * [simplify]: iteration 1 : 3357 enodes (cost 1460 ) 5.758 * * [simplify]: iteration 2 : 5002 enodes (cost 1368 ) 5.766 * [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)) 5.767 * * * [progress]: adding candidates to table 6.241 * [progress]: [Phase 3 of 3] Extracting. 6.241 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 6.244 * * * [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) 6.244 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 6.287 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 6.333 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 6.374 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.414 * * * [regime]: Found split indices: #