11.373 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.173 * [progress]: [Phase 2 of 3] Improving. 0.173 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.179 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.180 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.182 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.185 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.192 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.218 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.219 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.219 * * [progress]: iteration 1 / 4 0.219 * * * [progress]: picking best candidate 0.221 * * * * [pick]: Picked # 0.221 * * * [progress]: localizing error 0.235 * * * [progress]: generating rewritten candidates 0.235 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.249 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.253 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.270 * * * [progress]: generating series expansions 0.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.270 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.270 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.270 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.271 * [taylor]: Taking taylor expansion of 0.5 in k 0.271 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.271 * [taylor]: Taking taylor expansion of 1.0 in k 0.271 * [taylor]: Taking taylor expansion of k in k 0.271 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.271 * [taylor]: Taking taylor expansion of 2.0 in k 0.271 * [taylor]: Taking taylor expansion of (* n PI) in k 0.271 * [taylor]: Taking taylor expansion of n in k 0.271 * [taylor]: Taking taylor expansion of PI in k 0.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.272 * [taylor]: Taking taylor expansion of 0.5 in n 0.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.272 * [taylor]: Taking taylor expansion of 1.0 in n 0.272 * [taylor]: Taking taylor expansion of k in n 0.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.272 * [taylor]: Taking taylor expansion of 2.0 in n 0.272 * [taylor]: Taking taylor expansion of (* n PI) in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [taylor]: Taking taylor expansion of PI in n 0.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.277 * [taylor]: Taking taylor expansion of 0.5 in n 0.277 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of k in n 0.277 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.278 * [taylor]: Taking taylor expansion of 2.0 in n 0.278 * [taylor]: Taking taylor expansion of (* n PI) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.283 * [taylor]: Taking taylor expansion of 0.5 in k 0.283 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.283 * [taylor]: Taking taylor expansion of 1.0 in k 0.283 * [taylor]: Taking taylor expansion of k in k 0.283 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.283 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.283 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.283 * [taylor]: Taking taylor expansion of 2.0 in k 0.283 * [taylor]: Taking taylor expansion of PI in k 0.284 * [taylor]: Taking taylor expansion of (log n) in k 0.284 * [taylor]: Taking taylor expansion of n in k 0.294 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [taylor]: Taking taylor expansion of 0 in k 0.334 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.334 * [taylor]: Taking taylor expansion of 0.5 in k 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.334 * [taylor]: Taking taylor expansion of 1.0 in k 0.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.334 * [taylor]: Taking taylor expansion of k in k 0.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.335 * [taylor]: Taking taylor expansion of 2.0 in k 0.335 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.335 * [taylor]: Taking taylor expansion of PI in k 0.335 * [taylor]: Taking taylor expansion of n in k 0.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.336 * [taylor]: Taking taylor expansion of 0.5 in n 0.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.336 * [taylor]: Taking taylor expansion of 1.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.336 * [taylor]: Taking taylor expansion of k in n 0.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.336 * [taylor]: Taking taylor expansion of 2.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.340 * [taylor]: Taking taylor expansion of 0.5 in n 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.340 * [taylor]: Taking taylor expansion of 1.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.340 * [taylor]: Taking taylor expansion of k in n 0.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of 2.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.340 * [taylor]: Taking taylor expansion of PI in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.344 * [taylor]: Taking taylor expansion of 0.5 in k 0.344 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.344 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.344 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.344 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.344 * [taylor]: Taking taylor expansion of 2.0 in k 0.344 * [taylor]: Taking taylor expansion of PI in k 0.345 * [taylor]: Taking taylor expansion of (log n) in k 0.345 * [taylor]: Taking taylor expansion of n in k 0.345 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.345 * [taylor]: Taking taylor expansion of 1.0 in k 0.345 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.345 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of 0 in k 0.362 * [taylor]: Taking taylor expansion of 0 in k 0.371 * [taylor]: Taking taylor expansion of 0 in k 0.372 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.372 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.372 * [taylor]: Taking taylor expansion of 0.5 in k 0.372 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.372 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.372 * [taylor]: Taking taylor expansion of k in k 0.373 * [taylor]: Taking taylor expansion of 1.0 in k 0.373 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.373 * [taylor]: Taking taylor expansion of -2.0 in k 0.373 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.373 * [taylor]: Taking taylor expansion of PI in k 0.373 * [taylor]: Taking taylor expansion of n in k 0.373 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.373 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.374 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.374 * [taylor]: Taking taylor expansion of 0.5 in n 0.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.374 * [taylor]: Taking taylor expansion of k in n 0.374 * [taylor]: Taking taylor expansion of 1.0 in n 0.374 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.374 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.374 * [taylor]: Taking taylor expansion of -2.0 in n 0.374 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.374 * [taylor]: Taking taylor expansion of PI in n 0.374 * [taylor]: Taking taylor expansion of n in n 0.377 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.377 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.378 * [taylor]: Taking taylor expansion of 0.5 in n 0.378 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.378 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.378 * [taylor]: Taking taylor expansion of k in n 0.378 * [taylor]: Taking taylor expansion of 1.0 in n 0.378 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.378 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.378 * [taylor]: Taking taylor expansion of -2.0 in n 0.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.378 * [taylor]: Taking taylor expansion of PI in n 0.378 * [taylor]: Taking taylor expansion of n in n 0.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.382 * [taylor]: Taking taylor expansion of 0.5 in k 0.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.382 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.382 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.382 * [taylor]: Taking taylor expansion of -2.0 in k 0.382 * [taylor]: Taking taylor expansion of PI in k 0.383 * [taylor]: Taking taylor expansion of (log n) in k 0.383 * [taylor]: Taking taylor expansion of n in k 0.392 * [taylor]: Taking taylor expansion of 0 in k 0.406 * [taylor]: Taking taylor expansion of 0 in k 0.415 * [taylor]: Taking taylor expansion of 0 in k 0.416 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.416 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.416 * [taylor]: Taking taylor expansion of (* n PI) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.416 * [taylor]: Taking taylor expansion of (* n PI) in n 0.416 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.429 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.429 * [taylor]: Taking taylor expansion of 2.0 in n 0.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.429 * [taylor]: Taking taylor expansion of PI in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.429 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.429 * [taylor]: Taking taylor expansion of 2.0 in n 0.429 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.429 * [taylor]: Taking taylor expansion of PI in n 0.429 * [taylor]: Taking taylor expansion of n in n 0.438 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.438 * [taylor]: Taking taylor expansion of -2.0 in n 0.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.439 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.439 * [taylor]: Taking taylor expansion of -2.0 in n 0.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.439 * [taylor]: Taking taylor expansion of PI in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.447 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.447 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.447 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.447 * [taylor]: Taking taylor expansion of 1.0 in k 0.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.447 * [taylor]: Taking taylor expansion of k in k 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.449 * [taylor]: Taking taylor expansion of 1.0 in k 0.449 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.449 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.449 * [taylor]: Taking taylor expansion of k in k 0.461 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.461 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.461 * [taylor]: Taking taylor expansion of 1.0 in k 0.461 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.461 * [taylor]: Taking taylor expansion of k in k 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.462 * [taylor]: Taking taylor expansion of 1.0 in k 0.462 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.462 * [taylor]: Taking taylor expansion of k in k 0.472 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.472 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.472 * [taylor]: Taking taylor expansion of 1.0 in k 0.472 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.472 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.472 * [taylor]: Taking taylor expansion of -1 in k 0.472 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.474 * [taylor]: Taking taylor expansion of 1.0 in k 0.474 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.474 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.474 * [taylor]: Taking taylor expansion of -1 in k 0.474 * [taylor]: Taking taylor expansion of k in k 0.707 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.708 * [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 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.708 * [taylor]: Taking taylor expansion of 1.0 in n 0.708 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.708 * [taylor]: Taking taylor expansion of k in n 0.708 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.708 * [taylor]: Taking taylor expansion of 0.5 in n 0.708 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.708 * [taylor]: Taking taylor expansion of 1.0 in n 0.708 * [taylor]: Taking taylor expansion of k in n 0.708 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.708 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.708 * [taylor]: Taking taylor expansion of 2.0 in n 0.708 * [taylor]: Taking taylor expansion of (* n PI) in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.708 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.715 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.716 * [taylor]: Taking taylor expansion of 0.5 in k 0.716 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.716 * [taylor]: Taking taylor expansion of 1.0 in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.716 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.716 * [taylor]: Taking taylor expansion of 2.0 in k 0.716 * [taylor]: Taking taylor expansion of (* n PI) in k 0.716 * [taylor]: Taking taylor expansion of n in k 0.716 * [taylor]: Taking taylor expansion of PI in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.717 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.719 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.719 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.719 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.719 * [taylor]: Taking taylor expansion of 0.5 in k 0.719 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.719 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.719 * [taylor]: Taking taylor expansion of 2.0 in k 0.719 * [taylor]: Taking taylor expansion of (* n PI) in k 0.719 * [taylor]: Taking taylor expansion of n in k 0.719 * [taylor]: Taking taylor expansion of PI in k 0.720 * [taylor]: Taking taylor expansion of 0 in n 0.726 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.726 * [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 0.726 * [taylor]: Taking taylor expansion of +nan.0 in n 0.726 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.726 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.726 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.726 * [taylor]: Taking taylor expansion of 0.5 in n 0.726 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.726 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.726 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.726 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.726 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.726 * [taylor]: Taking taylor expansion of 1.0 in n 0.726 * [taylor]: Taking taylor expansion of (log PI) in n 0.726 * [taylor]: Taking taylor expansion of PI in n 0.728 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.728 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.728 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.728 * [taylor]: Taking taylor expansion of 1.0 in n 0.728 * [taylor]: Taking taylor expansion of (log n) in n 0.728 * [taylor]: Taking taylor expansion of n in n 0.729 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.729 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.729 * [taylor]: Taking taylor expansion of 1.0 in n 0.729 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.729 * [taylor]: Taking taylor expansion of 2.0 in n 0.749 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (* +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 0.749 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (* +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 0.749 * [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 0.749 * [taylor]: Taking taylor expansion of +nan.0 in n 0.749 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.749 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.749 * [taylor]: Taking taylor expansion of 0.5 in n 0.749 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.749 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.749 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.749 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.749 * [taylor]: Taking taylor expansion of 1.0 in n 0.749 * [taylor]: Taking taylor expansion of (log PI) in n 0.749 * [taylor]: Taking taylor expansion of PI in n 0.751 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.751 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.751 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.751 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.751 * [taylor]: Taking taylor expansion of 1.0 in n 0.751 * [taylor]: Taking taylor expansion of (log n) in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.752 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.752 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.752 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.752 * [taylor]: Taking taylor expansion of 2.0 in n 0.757 * [taylor]: Taking taylor expansion of (neg (* +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 0.757 * [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 0.757 * [taylor]: Taking taylor expansion of +nan.0 in n 0.757 * [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 0.757 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.757 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.757 * [taylor]: Taking taylor expansion of 0.5 in n 0.757 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.757 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.757 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.758 * [taylor]: Taking taylor expansion of 1.0 in n 0.758 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.758 * [taylor]: Taking taylor expansion of 2.0 in n 0.759 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.759 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.759 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.759 * [taylor]: Taking taylor expansion of 1.0 in n 0.759 * [taylor]: Taking taylor expansion of (log PI) in n 0.759 * [taylor]: Taking taylor expansion of PI in n 0.761 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.761 * [taylor]: Taking taylor expansion of 1.0 in n 0.761 * [taylor]: Taking taylor expansion of (log n) in n 0.761 * [taylor]: Taking taylor expansion of n in n 0.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.766 * [taylor]: Taking taylor expansion of 2.0 in n 0.766 * [taylor]: Taking taylor expansion of (* n PI) in n 0.766 * [taylor]: Taking taylor expansion of n in n 0.766 * [taylor]: Taking taylor expansion of PI in n 0.818 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 0.819 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 0.819 * [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 0.819 * [taylor]: Taking taylor expansion of +nan.0 in n 0.819 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.819 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.819 * [taylor]: Taking taylor expansion of 0.5 in n 0.819 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.819 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.819 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.819 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.819 * [taylor]: Taking taylor expansion of 1.0 in n 0.819 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.819 * [taylor]: Taking taylor expansion of 2.0 in n 0.821 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.821 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.821 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.821 * [taylor]: Taking taylor expansion of 1.0 in n 0.821 * [taylor]: Taking taylor expansion of (log n) in n 0.821 * [taylor]: Taking taylor expansion of n in n 0.821 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.821 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.821 * [taylor]: Taking taylor expansion of 1.0 in n 0.821 * [taylor]: Taking taylor expansion of (log PI) in n 0.821 * [taylor]: Taking taylor expansion of PI in n 0.827 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 0.827 * [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))))) (neg (* +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 0.827 * [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 0.827 * [taylor]: Taking taylor expansion of +nan.0 in n 0.827 * [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 0.827 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.827 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.827 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.827 * [taylor]: Taking taylor expansion of 0.5 in n 0.827 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.827 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.827 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.827 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.827 * [taylor]: Taking taylor expansion of 1.0 in n 0.827 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.827 * [taylor]: Taking taylor expansion of 2.0 in n 0.829 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.829 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.829 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.829 * [taylor]: Taking taylor expansion of 1.0 in n 0.829 * [taylor]: Taking taylor expansion of (log PI) in n 0.829 * [taylor]: Taking taylor expansion of PI in n 0.831 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.831 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.831 * [taylor]: Taking taylor expansion of 1.0 in n 0.831 * [taylor]: Taking taylor expansion of (log n) in n 0.831 * [taylor]: Taking taylor expansion of n in n 0.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.835 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.835 * [taylor]: Taking taylor expansion of 2.0 in n 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [taylor]: Taking taylor expansion of PI in n 0.839 * [taylor]: Taking taylor expansion of (neg (* +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 0.839 * [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 0.839 * [taylor]: Taking taylor expansion of +nan.0 in n 0.839 * [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 0.839 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.839 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.839 * [taylor]: Taking taylor expansion of 0.5 in n 0.839 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.839 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.839 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.839 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.839 * [taylor]: Taking taylor expansion of 1.0 in n 0.839 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.839 * [taylor]: Taking taylor expansion of 2.0 in n 0.841 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.841 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.841 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.841 * [taylor]: Taking taylor expansion of 1.0 in n 0.841 * [taylor]: Taking taylor expansion of (log PI) in n 0.841 * [taylor]: Taking taylor expansion of PI in n 0.843 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.843 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.843 * [taylor]: Taking taylor expansion of 1.0 in n 0.843 * [taylor]: Taking taylor expansion of (log n) in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.847 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.847 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.847 * [taylor]: Taking taylor expansion of 2.0 in n 0.847 * [taylor]: Taking taylor expansion of (* n PI) in n 0.847 * [taylor]: Taking taylor expansion of n in n 0.847 * [taylor]: Taking taylor expansion of PI in n 0.924 * [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 0.924 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.924 * [taylor]: Taking taylor expansion of 1.0 in n 0.924 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.924 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.924 * [taylor]: Taking taylor expansion of k in n 0.924 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.924 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.924 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.924 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.924 * [taylor]: Taking taylor expansion of 0.5 in n 0.924 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.924 * [taylor]: Taking taylor expansion of 1.0 in n 0.924 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.924 * [taylor]: Taking taylor expansion of k in n 0.924 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.924 * [taylor]: Taking taylor expansion of 2.0 in n 0.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.924 * [taylor]: Taking taylor expansion of PI in n 0.924 * [taylor]: Taking taylor expansion of n in n 0.928 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.928 * [taylor]: Taking taylor expansion of 1.0 in k 0.928 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.928 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.928 * [taylor]: Taking taylor expansion of k in k 0.929 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.929 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.929 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.929 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.929 * [taylor]: Taking taylor expansion of 0.5 in k 0.929 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.929 * [taylor]: Taking taylor expansion of 1.0 in k 0.929 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.929 * [taylor]: Taking taylor expansion of k in k 0.930 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.930 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.930 * [taylor]: Taking taylor expansion of 2.0 in k 0.930 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.930 * [taylor]: Taking taylor expansion of PI in k 0.930 * [taylor]: Taking taylor expansion of n in k 0.931 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.931 * [taylor]: Taking taylor expansion of 1.0 in k 0.931 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.931 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.931 * [taylor]: Taking taylor expansion of k in k 0.932 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.932 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.932 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.932 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.932 * [taylor]: Taking taylor expansion of 0.5 in k 0.932 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.932 * [taylor]: Taking taylor expansion of 1.0 in k 0.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.932 * [taylor]: Taking taylor expansion of k in k 0.933 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.933 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.933 * [taylor]: Taking taylor expansion of 2.0 in k 0.933 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.933 * [taylor]: Taking taylor expansion of PI in k 0.933 * [taylor]: Taking taylor expansion of n in k 0.934 * [taylor]: Taking taylor expansion of 0 in n 0.935 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.935 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.935 * [taylor]: Taking taylor expansion of +nan.0 in n 0.935 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.935 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.935 * [taylor]: Taking taylor expansion of 0.5 in n 0.935 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.935 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.935 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.935 * [taylor]: Taking taylor expansion of 2.0 in n 0.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.935 * [taylor]: Taking taylor expansion of PI in n 0.935 * [taylor]: Taking taylor expansion of n in n 0.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.936 * [taylor]: Taking taylor expansion of 1.0 in n 0.936 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.936 * [taylor]: Taking taylor expansion of k in n 0.945 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.945 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.945 * [taylor]: Taking taylor expansion of +nan.0 in n 0.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.945 * [taylor]: Taking taylor expansion of 0.5 in n 0.945 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.945 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.945 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.945 * [taylor]: Taking taylor expansion of 2.0 in n 0.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.945 * [taylor]: Taking taylor expansion of PI in n 0.945 * [taylor]: Taking taylor expansion of n in n 0.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.946 * [taylor]: Taking taylor expansion of 1.0 in n 0.946 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.946 * [taylor]: Taking taylor expansion of k in n 0.963 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.963 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.963 * [taylor]: Taking taylor expansion of +nan.0 in n 0.963 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.963 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.963 * [taylor]: Taking taylor expansion of 0.5 in n 0.963 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.963 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.963 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.963 * [taylor]: Taking taylor expansion of 2.0 in n 0.963 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.963 * [taylor]: Taking taylor expansion of PI in n 0.963 * [taylor]: Taking taylor expansion of n in n 0.965 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.965 * [taylor]: Taking taylor expansion of 1.0 in n 0.965 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.965 * [taylor]: Taking taylor expansion of k in n 0.980 * [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 0.980 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.980 * [taylor]: Taking taylor expansion of 1.0 in n 0.980 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.980 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.980 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.980 * [taylor]: Taking taylor expansion of 0.5 in n 0.980 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.981 * [taylor]: Taking taylor expansion of k in n 0.981 * [taylor]: Taking taylor expansion of 1.0 in n 0.981 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.981 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.981 * [taylor]: Taking taylor expansion of -2.0 in n 0.981 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.981 * [taylor]: Taking taylor expansion of PI in n 0.981 * [taylor]: Taking taylor expansion of n in n 0.984 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.984 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.984 * [taylor]: Taking taylor expansion of -1 in n 0.984 * [taylor]: Taking taylor expansion of k in n 0.985 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.985 * [taylor]: Taking taylor expansion of 1.0 in k 0.985 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.985 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.985 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.985 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.985 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.985 * [taylor]: Taking taylor expansion of 0.5 in k 0.985 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.985 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.986 * [taylor]: Taking taylor expansion of k in k 0.986 * [taylor]: Taking taylor expansion of 1.0 in k 0.986 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.986 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.986 * [taylor]: Taking taylor expansion of -2.0 in k 0.986 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.986 * [taylor]: Taking taylor expansion of PI in k 0.986 * [taylor]: Taking taylor expansion of n in k 0.987 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.987 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.987 * [taylor]: Taking taylor expansion of -1 in k 0.987 * [taylor]: Taking taylor expansion of k in k 0.988 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.988 * [taylor]: Taking taylor expansion of 1.0 in k 0.988 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.988 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.988 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.988 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.988 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.988 * [taylor]: Taking taylor expansion of 0.5 in k 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.988 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.988 * [taylor]: Taking taylor expansion of k in k 0.989 * [taylor]: Taking taylor expansion of 1.0 in k 0.989 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.989 * [taylor]: Taking taylor expansion of -2.0 in k 0.989 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.989 * [taylor]: Taking taylor expansion of PI in k 0.989 * [taylor]: Taking taylor expansion of n in k 0.990 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.990 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.990 * [taylor]: Taking taylor expansion of -1 in k 0.990 * [taylor]: Taking taylor expansion of k in k 0.991 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.991 * [taylor]: Taking taylor expansion of +nan.0 in n 0.991 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.991 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.991 * [taylor]: Taking taylor expansion of 0.5 in n 0.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.991 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.991 * [taylor]: Taking taylor expansion of k in n 0.991 * [taylor]: Taking taylor expansion of 1.0 in n 0.991 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.991 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.991 * [taylor]: Taking taylor expansion of -2.0 in n 0.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.992 * [taylor]: Taking taylor expansion of PI in n 0.992 * [taylor]: Taking taylor expansion of n in n 1.000 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.000 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.000 * [taylor]: Taking taylor expansion of +nan.0 in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.000 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.000 * [taylor]: Taking taylor expansion of 0.5 in n 1.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.001 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.001 * [taylor]: Taking taylor expansion of k in n 1.001 * [taylor]: Taking taylor expansion of 1.0 in n 1.001 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.001 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.001 * [taylor]: Taking taylor expansion of -2.0 in n 1.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.018 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.018 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.018 * [taylor]: Taking taylor expansion of +nan.0 in n 1.018 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.018 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.018 * [taylor]: Taking taylor expansion of 0.5 in n 1.018 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.018 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.018 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.019 * [taylor]: Taking taylor expansion of k in n 1.019 * [taylor]: Taking taylor expansion of 1.0 in n 1.019 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.019 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.019 * [taylor]: Taking taylor expansion of -2.0 in n 1.019 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.019 * [taylor]: Taking taylor expansion of PI in n 1.019 * [taylor]: Taking taylor expansion of n in n 1.028 * * * [progress]: simplifying candidates 1.030 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (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))))) (cbrt (* (/ 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))) (* (/ 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)))) (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) (* (/ 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))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (neg (+ (* +nan.0 k) (neg (+ (* +nan.0 (pow k 2)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg (* +nan.0 (/ 1 (pow k 3)))))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (neg (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (neg (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (neg (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 1.041 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 1.059 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 1.124 * * [simplify]: iteration 2 : 5003 enodes (cost 1344 ) 1.131 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (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))))) (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))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (+ (/ 1 k) (/ -1 (pow k 3)))) (/ (neg +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (neg +nan.0) (pow k 2))) (+ (neg (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (neg (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 1.132 * * * [progress]: adding candidates to table 1.506 * * [progress]: iteration 2 / 4 1.506 * * * [progress]: picking best candidate 1.536 * * * * [pick]: Picked # 1.536 * * * [progress]: localizing error 1.555 * * * [progress]: generating rewritten candidates 1.555 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.560 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 1.565 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.569 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.603 * * * [progress]: generating series expansions 1.603 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.604 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.604 * [taylor]: Taking taylor expansion of 2.0 in n 1.604 * [taylor]: Taking taylor expansion of (* n PI) in n 1.604 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of PI in n 1.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.604 * [taylor]: Taking taylor expansion of 2.0 in n 1.604 * [taylor]: Taking taylor expansion of (* n PI) in n 1.604 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of PI in n 1.622 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.622 * [taylor]: Taking taylor expansion of 2.0 in n 1.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.623 * [taylor]: Taking taylor expansion of 2.0 in n 1.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.632 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.632 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.632 * [taylor]: Taking taylor expansion of -2.0 in n 1.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.632 * [taylor]: Taking taylor expansion of PI in n 1.632 * [taylor]: Taking taylor expansion of n in n 1.632 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.632 * [taylor]: Taking taylor expansion of -2.0 in n 1.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.632 * [taylor]: Taking taylor expansion of PI in n 1.632 * [taylor]: Taking taylor expansion of n in n 1.641 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 1.641 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.641 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [taylor]: Taking taylor expansion of (* n PI) in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.641 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [taylor]: Taking taylor expansion of (* n PI) in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.654 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.654 * [taylor]: Taking taylor expansion of 2.0 in n 1.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.654 * [taylor]: Taking taylor expansion of PI in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.654 * [taylor]: Taking taylor expansion of 2.0 in n 1.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.654 * [taylor]: Taking taylor expansion of PI in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.663 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.663 * [taylor]: Taking taylor expansion of -2.0 in n 1.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.663 * [taylor]: Taking taylor expansion of PI in n 1.663 * [taylor]: Taking taylor expansion of n in n 1.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.664 * [taylor]: Taking taylor expansion of -2.0 in n 1.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.664 * [taylor]: Taking taylor expansion of PI in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.672 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.672 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.672 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.672 * [taylor]: Taking taylor expansion of 1.0 in k 1.672 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.672 * [taylor]: Taking taylor expansion of k in k 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.674 * [taylor]: Taking taylor expansion of 1.0 in k 1.674 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.674 * [taylor]: Taking taylor expansion of k in k 1.685 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.685 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.685 * [taylor]: Taking taylor expansion of 1.0 in k 1.685 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.686 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.686 * [taylor]: Taking taylor expansion of 1.0 in k 1.686 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.686 * [taylor]: Taking taylor expansion of k in k 1.703 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.703 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.703 * [taylor]: Taking taylor expansion of 1.0 in k 1.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.703 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.703 * [taylor]: Taking taylor expansion of -1 in k 1.704 * [taylor]: Taking taylor expansion of k in k 1.705 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.705 * [taylor]: Taking taylor expansion of 1.0 in k 1.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.705 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.705 * [taylor]: Taking taylor expansion of -1 in k 1.705 * [taylor]: Taking taylor expansion of k in k 1.717 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.718 * [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 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.718 * [taylor]: Taking taylor expansion of k in n 1.718 * [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 1.718 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.718 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.718 * [taylor]: Taking taylor expansion of 0.5 in n 1.718 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.718 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.718 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.719 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.719 * [taylor]: Taking taylor expansion of 1.0 in n 1.719 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.719 * [taylor]: Taking taylor expansion of 2.0 in n 1.720 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.720 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.720 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.720 * [taylor]: Taking taylor expansion of 1.0 in n 1.720 * [taylor]: Taking taylor expansion of (log n) in n 1.720 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.721 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.721 * [taylor]: Taking taylor expansion of 1.0 in n 1.721 * [taylor]: Taking taylor expansion of (log PI) in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.726 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.727 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.727 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.727 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.727 * [taylor]: Taking taylor expansion of 0.5 in n 1.727 * [taylor]: Taking taylor expansion of k in n 1.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.727 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.727 * [taylor]: Taking taylor expansion of 2.0 in n 1.727 * [taylor]: Taking taylor expansion of (* n PI) in n 1.727 * [taylor]: Taking taylor expansion of n in n 1.727 * [taylor]: Taking taylor expansion of PI in n 1.733 * [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 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [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 1.733 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.733 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.733 * [taylor]: Taking taylor expansion of k in k 1.734 * [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 1.734 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.734 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.734 * [taylor]: Taking taylor expansion of 0.5 in k 1.734 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.734 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.734 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.734 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.734 * [taylor]: Taking taylor expansion of 2.0 in k 1.736 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.736 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.736 * [taylor]: Taking taylor expansion of 1.0 in k 1.736 * [taylor]: Taking taylor expansion of (log n) in k 1.736 * [taylor]: Taking taylor expansion of n in k 1.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.736 * [taylor]: Taking taylor expansion of 1.0 in k 1.736 * [taylor]: Taking taylor expansion of (log PI) in k 1.736 * [taylor]: Taking taylor expansion of PI in k 1.742 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.742 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.742 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.742 * [taylor]: Taking taylor expansion of 0.5 in k 1.742 * [taylor]: Taking taylor expansion of k in k 1.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.742 * [taylor]: Taking taylor expansion of 2.0 in k 1.742 * [taylor]: Taking taylor expansion of (* n PI) in k 1.742 * [taylor]: Taking taylor expansion of n in k 1.742 * [taylor]: Taking taylor expansion of PI in k 1.745 * [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 1.745 * [taylor]: Taking taylor expansion of 1.0 in k 1.745 * [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 1.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.745 * [taylor]: Taking taylor expansion of k in k 1.746 * [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 1.746 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.746 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.746 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.746 * [taylor]: Taking taylor expansion of 0.5 in k 1.746 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.746 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.746 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.747 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.747 * [taylor]: Taking taylor expansion of 1.0 in k 1.747 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.747 * [taylor]: Taking taylor expansion of 2.0 in k 1.748 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.748 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.748 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.748 * [taylor]: Taking taylor expansion of 1.0 in k 1.748 * [taylor]: Taking taylor expansion of (log n) in k 1.748 * [taylor]: Taking taylor expansion of n in k 1.749 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.749 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.749 * [taylor]: Taking taylor expansion of 1.0 in k 1.749 * [taylor]: Taking taylor expansion of (log PI) in k 1.749 * [taylor]: Taking taylor expansion of PI in k 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.754 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.754 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.754 * [taylor]: Taking taylor expansion of 0.5 in k 1.754 * [taylor]: Taking taylor expansion of k in k 1.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.754 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.754 * [taylor]: Taking taylor expansion of 2.0 in k 1.754 * [taylor]: Taking taylor expansion of (* n PI) in k 1.754 * [taylor]: Taking taylor expansion of n in k 1.754 * [taylor]: Taking taylor expansion of PI in k 1.759 * [taylor]: Taking taylor expansion of 0 in n 1.774 * [taylor]: Taking taylor expansion of (neg (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.774 * [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 1.774 * [taylor]: Taking taylor expansion of +nan.0 in n 1.774 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.774 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.774 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.774 * [taylor]: Taking taylor expansion of 0.5 in n 1.774 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.774 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.774 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.774 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.774 * [taylor]: Taking taylor expansion of 1.0 in n 1.774 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.774 * [taylor]: Taking taylor expansion of 2.0 in n 1.776 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.776 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.776 * [taylor]: Taking taylor expansion of 1.0 in n 1.776 * [taylor]: Taking taylor expansion of (log n) in n 1.776 * [taylor]: Taking taylor expansion of n in n 1.777 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.777 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.777 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.777 * [taylor]: Taking taylor expansion of 1.0 in n 1.777 * [taylor]: Taking taylor expansion of (log PI) in n 1.777 * [taylor]: Taking taylor expansion of PI in n 1.821 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (* +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 1.821 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (neg (* +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 1.821 * [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 1.821 * [taylor]: Taking taylor expansion of +nan.0 in n 1.821 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.821 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.821 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.821 * [taylor]: Taking taylor expansion of 0.5 in n 1.821 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.821 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.821 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.821 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.821 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.821 * [taylor]: Taking taylor expansion of 1.0 in n 1.821 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.821 * [taylor]: Taking taylor expansion of 2.0 in n 1.823 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.823 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.823 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.823 * [taylor]: Taking taylor expansion of 1.0 in n 1.823 * [taylor]: Taking taylor expansion of (log n) in n 1.823 * [taylor]: Taking taylor expansion of n in n 1.823 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.823 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.823 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.823 * [taylor]: Taking taylor expansion of 1.0 in n 1.823 * [taylor]: Taking taylor expansion of (log PI) in n 1.823 * [taylor]: Taking taylor expansion of PI in n 1.829 * [taylor]: Taking taylor expansion of (neg (* +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 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of +nan.0 in n 1.829 * [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 1.829 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.829 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.829 * [taylor]: Taking taylor expansion of 0.5 in n 1.829 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.829 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.829 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.829 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.829 * [taylor]: Taking taylor expansion of 1.0 in n 1.829 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.829 * [taylor]: Taking taylor expansion of 2.0 in n 1.831 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.831 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.831 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.831 * [taylor]: Taking taylor expansion of 1.0 in n 1.831 * [taylor]: Taking taylor expansion of (log PI) in n 1.831 * [taylor]: Taking taylor expansion of PI in n 1.833 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [taylor]: Taking taylor expansion of (log n) in n 1.833 * [taylor]: Taking taylor expansion of n in n 1.837 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.837 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.837 * [taylor]: Taking taylor expansion of 2.0 in n 1.837 * [taylor]: Taking taylor expansion of (* n PI) in n 1.837 * [taylor]: Taking taylor expansion of n in n 1.837 * [taylor]: Taking taylor expansion of PI in n 1.919 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 1.919 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 1.919 * [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 1.919 * [taylor]: Taking taylor expansion of +nan.0 in n 1.919 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.919 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.919 * [taylor]: Taking taylor expansion of 0.5 in n 1.919 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.919 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.919 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.919 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.919 * [taylor]: Taking taylor expansion of 1.0 in n 1.919 * [taylor]: Taking taylor expansion of (log PI) in n 1.919 * [taylor]: Taking taylor expansion of PI in n 1.921 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.921 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.921 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.921 * [taylor]: Taking taylor expansion of 1.0 in n 1.921 * [taylor]: Taking taylor expansion of (log n) in n 1.921 * [taylor]: Taking taylor expansion of n in n 1.922 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.922 * [taylor]: Taking taylor expansion of 1.0 in n 1.922 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.922 * [taylor]: Taking taylor expansion of 2.0 in n 1.927 * [taylor]: Taking taylor expansion of (neg (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (neg (* +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 1.927 * [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))))) (neg (* +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 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of +nan.0 in n 1.927 * [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 1.927 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.927 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.927 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.927 * [taylor]: Taking taylor expansion of 0.5 in n 1.927 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.927 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.927 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.927 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.927 * [taylor]: Taking taylor expansion of 1.0 in n 1.927 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.927 * [taylor]: Taking taylor expansion of 2.0 in n 1.929 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.929 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.929 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.929 * [taylor]: Taking taylor expansion of 1.0 in n 1.929 * [taylor]: Taking taylor expansion of (log PI) in n 1.929 * [taylor]: Taking taylor expansion of PI in n 1.931 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.931 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.931 * [taylor]: Taking taylor expansion of 1.0 in n 1.931 * [taylor]: Taking taylor expansion of (log n) in n 1.931 * [taylor]: Taking taylor expansion of n in n 1.935 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.935 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.935 * [taylor]: Taking taylor expansion of 2.0 in n 1.935 * [taylor]: Taking taylor expansion of (* n PI) in n 1.935 * [taylor]: Taking taylor expansion of n in n 1.935 * [taylor]: Taking taylor expansion of PI in n 1.938 * [taylor]: Taking taylor expansion of (neg (* +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 1.938 * [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 1.938 * [taylor]: Taking taylor expansion of +nan.0 in n 1.938 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 1.938 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.938 * [taylor]: Taking taylor expansion of 0.5 in n 1.939 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.939 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.939 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.939 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.939 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.939 * [taylor]: Taking taylor expansion of 1.0 in n 1.939 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.939 * [taylor]: Taking taylor expansion of 2.0 in n 1.940 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.940 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.940 * [taylor]: Taking taylor expansion of 1.0 in n 1.941 * [taylor]: Taking taylor expansion of (log PI) in n 1.941 * [taylor]: Taking taylor expansion of PI in n 1.942 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.942 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.942 * [taylor]: Taking taylor expansion of 1.0 in n 1.942 * [taylor]: Taking taylor expansion of (log n) in n 1.942 * [taylor]: Taking taylor expansion of n in n 1.947 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.947 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.947 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.947 * [taylor]: Taking taylor expansion of 2.0 in n 1.947 * [taylor]: Taking taylor expansion of (* n PI) in n 1.947 * [taylor]: Taking taylor expansion of n in n 1.947 * [taylor]: Taking taylor expansion of PI in n 2.029 * [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 2.029 * [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 2.029 * [taylor]: Taking taylor expansion of 1.0 in n 2.029 * [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 2.029 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.029 * [taylor]: Taking taylor expansion of k in n 2.029 * [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 2.029 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.029 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.029 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.029 * [taylor]: Taking taylor expansion of 0.5 in n 2.029 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.029 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.029 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.029 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.029 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.029 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.029 * [taylor]: Taking taylor expansion of 1.0 in n 2.029 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.029 * [taylor]: Taking taylor expansion of 2.0 in n 2.031 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.031 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.031 * [taylor]: Taking taylor expansion of 1.0 in n 2.031 * [taylor]: Taking taylor expansion of (log PI) in n 2.031 * [taylor]: Taking taylor expansion of PI in n 2.033 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.033 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.033 * [taylor]: Taking taylor expansion of 1.0 in n 2.033 * [taylor]: Taking taylor expansion of (log n) in n 2.033 * [taylor]: Taking taylor expansion of n in n 2.040 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.040 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.040 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.040 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.040 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.040 * [taylor]: Taking taylor expansion of 0.5 in n 2.040 * [taylor]: Taking taylor expansion of k in n 2.040 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.040 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.040 * [taylor]: Taking taylor expansion of 2.0 in n 2.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.040 * [taylor]: Taking taylor expansion of PI in n 2.040 * [taylor]: Taking taylor expansion of n in n 2.045 * [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 2.045 * [taylor]: Taking taylor expansion of 1.0 in k 2.045 * [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 2.045 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.045 * [taylor]: Taking taylor expansion of k in k 2.046 * [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 2.046 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.046 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.046 * [taylor]: Taking taylor expansion of 0.5 in k 2.046 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.046 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.046 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.046 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.046 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.046 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.046 * [taylor]: Taking taylor expansion of 1.0 in k 2.046 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.046 * [taylor]: Taking taylor expansion of 2.0 in k 2.048 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.048 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.048 * [taylor]: Taking taylor expansion of 1.0 in k 2.048 * [taylor]: Taking taylor expansion of (log PI) in k 2.048 * [taylor]: Taking taylor expansion of PI in k 2.050 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.050 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.050 * [taylor]: Taking taylor expansion of 1.0 in k 2.050 * [taylor]: Taking taylor expansion of (log n) in k 2.050 * [taylor]: Taking taylor expansion of n in k 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.057 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.057 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.057 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.057 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.057 * [taylor]: Taking taylor expansion of 0.5 in k 2.057 * [taylor]: Taking taylor expansion of k in k 2.057 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.057 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.057 * [taylor]: Taking taylor expansion of 2.0 in k 2.057 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.057 * [taylor]: Taking taylor expansion of PI in k 2.057 * [taylor]: Taking taylor expansion of n in k 2.057 * [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 2.057 * [taylor]: Taking taylor expansion of 1.0 in k 2.057 * [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 2.057 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.057 * [taylor]: Taking taylor expansion of k in k 2.058 * [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 2.059 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.059 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.059 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.059 * [taylor]: Taking taylor expansion of 0.5 in k 2.059 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.059 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.059 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.059 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.059 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.059 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.059 * [taylor]: Taking taylor expansion of 1.0 in k 2.059 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.059 * [taylor]: Taking taylor expansion of 2.0 in k 2.061 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.061 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.061 * [taylor]: Taking taylor expansion of 1.0 in k 2.061 * [taylor]: Taking taylor expansion of (log PI) in k 2.061 * [taylor]: Taking taylor expansion of PI in k 2.068 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.068 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.068 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.068 * [taylor]: Taking taylor expansion of 1.0 in k 2.068 * [taylor]: Taking taylor expansion of (log n) in k 2.068 * [taylor]: Taking taylor expansion of n in k 2.075 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.075 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.075 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.075 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.075 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.075 * [taylor]: Taking taylor expansion of 0.5 in k 2.075 * [taylor]: Taking taylor expansion of k in k 2.076 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.076 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.076 * [taylor]: Taking taylor expansion of 2.0 in k 2.076 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.076 * [taylor]: Taking taylor expansion of PI in k 2.076 * [taylor]: Taking taylor expansion of n in k 2.079 * [taylor]: Taking taylor expansion of 0 in n 2.097 * [taylor]: Taking taylor expansion of (neg (* +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 2.097 * [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 2.097 * [taylor]: Taking taylor expansion of +nan.0 in n 2.097 * [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 2.097 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.097 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.097 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.097 * [taylor]: Taking taylor expansion of 0.5 in n 2.097 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.097 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.097 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.097 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.097 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.097 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.097 * [taylor]: Taking taylor expansion of 1.0 in n 2.097 * [taylor]: Taking taylor expansion of (log PI) in n 2.097 * [taylor]: Taking taylor expansion of PI in n 2.099 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.099 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.099 * [taylor]: Taking taylor expansion of 1.0 in n 2.099 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.099 * [taylor]: Taking taylor expansion of 2.0 in n 2.101 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.101 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.101 * [taylor]: Taking taylor expansion of 1.0 in n 2.101 * [taylor]: Taking taylor expansion of (log n) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.108 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 2.108 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 2.108 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 2.108 * [taylor]: Taking taylor expansion of 0.5 in n 2.108 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 2.108 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.108 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.108 * [taylor]: Taking taylor expansion of 2.0 in n 2.108 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.108 * [taylor]: Taking taylor expansion of PI in n 2.108 * [taylor]: Taking taylor expansion of n in n 2.110 * [taylor]: Taking taylor expansion of k in n 2.150 * [taylor]: Taking taylor expansion of (neg (* +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 2.150 * [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 2.150 * [taylor]: Taking taylor expansion of +nan.0 in n 2.150 * [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 2.150 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.150 * [taylor]: Taking taylor expansion of 0.5 in n 2.150 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.150 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.150 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.150 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.150 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.150 * [taylor]: Taking taylor expansion of 1.0 in n 2.150 * [taylor]: Taking taylor expansion of (log PI) in n 2.150 * [taylor]: Taking taylor expansion of PI 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 2.161 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.161 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.161 * [taylor]: Taking taylor expansion of 1.0 in n 2.161 * [taylor]: Taking taylor expansion of (log n) in n 2.161 * [taylor]: Taking taylor expansion of n in n 2.168 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 2.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 2.168 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 2.168 * [taylor]: Taking taylor expansion of 0.5 in n 2.168 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 2.168 * [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 2.169 * [taylor]: Taking taylor expansion of 2.0 in n 2.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.169 * [taylor]: Taking taylor expansion of PI in n 2.169 * [taylor]: Taking taylor expansion of n in n 2.170 * [taylor]: Taking taylor expansion of k in n 2.242 * [taylor]: Taking taylor expansion of (neg (* +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 2.242 * [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 2.242 * [taylor]: Taking taylor expansion of +nan.0 in n 2.242 * [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 2.242 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.243 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.243 * [taylor]: Taking taylor expansion of 0.5 in n 2.243 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.243 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.243 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.243 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.243 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.243 * [taylor]: Taking taylor expansion of 1.0 in n 2.243 * [taylor]: Taking taylor expansion of (log PI) in n 2.243 * [taylor]: Taking taylor expansion of PI in n 2.251 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.251 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.251 * [taylor]: Taking taylor expansion of 1.0 in n 2.251 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.251 * [taylor]: Taking taylor expansion of 2.0 in n 2.253 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.253 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.253 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.253 * [taylor]: Taking taylor expansion of 1.0 in n 2.253 * [taylor]: Taking taylor expansion of (log n) in n 2.253 * [taylor]: Taking taylor expansion of n in n 2.261 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 2.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 2.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 2.261 * [taylor]: Taking taylor expansion of 0.5 in n 2.261 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 2.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.261 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.261 * [taylor]: Taking taylor expansion of 2.0 in n 2.261 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.261 * [taylor]: Taking taylor expansion of PI in n 2.261 * [taylor]: Taking taylor expansion of n in n 2.262 * [taylor]: Taking taylor expansion of k in n 2.283 * [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 2.283 * [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 2.283 * [taylor]: Taking taylor expansion of 1.0 in n 2.283 * [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 2.283 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.283 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.283 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.283 * [taylor]: Taking taylor expansion of -1 in n 2.283 * [taylor]: Taking taylor expansion of k in n 2.283 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.283 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.283 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.283 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.283 * [taylor]: Taking taylor expansion of -0.5 in n 2.283 * [taylor]: Taking taylor expansion of k in n 2.283 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.283 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.284 * [taylor]: Taking taylor expansion of -2.0 in n 2.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.284 * [taylor]: Taking taylor expansion of PI in n 2.284 * [taylor]: Taking taylor expansion of n in n 2.289 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.289 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.289 * [taylor]: Taking taylor expansion of 0.5 in n 2.289 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.289 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.289 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.289 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.289 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.289 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.289 * [taylor]: Taking taylor expansion of 1.0 in n 2.289 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.289 * [taylor]: Taking taylor expansion of -2.0 in n 2.291 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.291 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.291 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.291 * [taylor]: Taking taylor expansion of 1.0 in n 2.291 * [taylor]: Taking taylor expansion of (log PI) in n 2.291 * [taylor]: Taking taylor expansion of PI in n 2.293 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.293 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.293 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.293 * [taylor]: Taking taylor expansion of 1.0 in n 2.293 * [taylor]: Taking taylor expansion of (log n) in n 2.293 * [taylor]: Taking taylor expansion of n in n 2.300 * [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 2.300 * [taylor]: Taking taylor expansion of 1.0 in k 2.300 * [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 2.300 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.300 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.300 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.300 * [taylor]: Taking taylor expansion of -1 in k 2.300 * [taylor]: Taking taylor expansion of k in k 2.302 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.302 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.302 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.302 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.302 * [taylor]: Taking taylor expansion of -0.5 in k 2.302 * [taylor]: Taking taylor expansion of k in k 2.302 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.302 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.302 * [taylor]: Taking taylor expansion of -2.0 in k 2.302 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.302 * [taylor]: Taking taylor expansion of PI in k 2.302 * [taylor]: Taking taylor expansion of n in k 2.303 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.303 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.303 * [taylor]: Taking taylor expansion of 0.5 in k 2.303 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.303 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.303 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.303 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.303 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.303 * [taylor]: Taking taylor expansion of 1.0 in k 2.303 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.303 * [taylor]: Taking taylor expansion of -2.0 in k 2.305 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.305 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.305 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.305 * [taylor]: Taking taylor expansion of 1.0 in k 2.305 * [taylor]: Taking taylor expansion of (log PI) in k 2.305 * [taylor]: Taking taylor expansion of PI in k 2.307 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.307 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.307 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.307 * [taylor]: Taking taylor expansion of 1.0 in k 2.307 * [taylor]: Taking taylor expansion of (log n) in k 2.307 * [taylor]: Taking taylor expansion of n in k 2.314 * [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 2.314 * [taylor]: Taking taylor expansion of 1.0 in k 2.314 * [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 2.314 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.314 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.314 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.314 * [taylor]: Taking taylor expansion of -1 in k 2.314 * [taylor]: Taking taylor expansion of k in k 2.315 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.315 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.315 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.315 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.315 * [taylor]: Taking taylor expansion of -0.5 in k 2.315 * [taylor]: Taking taylor expansion of k in k 2.316 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.316 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.316 * [taylor]: Taking taylor expansion of -2.0 in k 2.316 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.316 * [taylor]: Taking taylor expansion of PI in k 2.316 * [taylor]: Taking taylor expansion of n in k 2.317 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.317 * [taylor]: Taking taylor expansion of 0.5 in k 2.317 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.317 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.317 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.317 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.317 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.317 * [taylor]: Taking taylor expansion of 1.0 in k 2.317 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.317 * [taylor]: Taking taylor expansion of -2.0 in k 2.319 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.319 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.319 * [taylor]: Taking taylor expansion of 1.0 in k 2.319 * [taylor]: Taking taylor expansion of (log PI) in k 2.319 * [taylor]: Taking taylor expansion of PI in k 2.321 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.321 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.321 * [taylor]: Taking taylor expansion of 1.0 in k 2.321 * [taylor]: Taking taylor expansion of (log n) in k 2.321 * [taylor]: Taking taylor expansion of n in k 2.330 * [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 2.330 * [taylor]: Taking taylor expansion of +nan.0 in n 2.330 * [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 2.330 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 2.330 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 2.330 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 2.330 * [taylor]: Taking taylor expansion of -0.5 in n 2.330 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 2.330 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.330 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.330 * [taylor]: Taking taylor expansion of -2.0 in n 2.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.330 * [taylor]: Taking taylor expansion of PI in n 2.330 * [taylor]: Taking taylor expansion of n in n 2.331 * [taylor]: Taking taylor expansion of k in n 2.336 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.336 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.336 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.336 * [taylor]: Taking taylor expansion of 0.5 in n 2.336 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.336 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.336 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.336 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.336 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.336 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.336 * [taylor]: Taking taylor expansion of 1.0 in n 2.336 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.336 * [taylor]: Taking taylor expansion of -2.0 in n 2.338 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.338 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.338 * [taylor]: Taking taylor expansion of 1.0 in n 2.338 * [taylor]: Taking taylor expansion of (log PI) in n 2.338 * [taylor]: Taking taylor expansion of PI in n 2.346 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.346 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.347 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.347 * [taylor]: Taking taylor expansion of 1.0 in n 2.347 * [taylor]: Taking taylor expansion of (log n) in n 2.347 * [taylor]: Taking taylor expansion of n in n 2.381 * [taylor]: Taking taylor expansion of (neg (* +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 2.381 * [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 2.381 * [taylor]: Taking taylor expansion of +nan.0 in n 2.381 * [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 2.381 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 2.381 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 2.381 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 2.381 * [taylor]: Taking taylor expansion of -0.5 in n 2.381 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 2.381 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.381 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.381 * [taylor]: Taking taylor expansion of -2.0 in n 2.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.381 * [taylor]: Taking taylor expansion of PI in n 2.381 * [taylor]: Taking taylor expansion of n in n 2.383 * [taylor]: Taking taylor expansion of k in n 2.387 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.387 * [taylor]: Taking taylor expansion of 0.5 in n 2.387 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.387 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.387 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.387 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.387 * [taylor]: Taking taylor expansion of 1.0 in n 2.387 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.387 * [taylor]: Taking taylor expansion of -2.0 in n 2.389 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.389 * [taylor]: Taking taylor expansion of 1.0 in n 2.389 * [taylor]: Taking taylor expansion of (log PI) in n 2.389 * [taylor]: Taking taylor expansion of PI in n 2.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.391 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.391 * [taylor]: Taking taylor expansion of 1.0 in n 2.391 * [taylor]: Taking taylor expansion of (log n) in n 2.391 * [taylor]: Taking taylor expansion of n in n 2.467 * [taylor]: Taking taylor expansion of (neg (* +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 2.467 * [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 2.467 * [taylor]: Taking taylor expansion of +nan.0 in n 2.467 * [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 2.467 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 2.467 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 2.467 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 2.467 * [taylor]: Taking taylor expansion of -0.5 in n 2.467 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 2.467 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.467 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.467 * [taylor]: Taking taylor expansion of -2.0 in n 2.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.467 * [taylor]: Taking taylor expansion of PI in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.468 * [taylor]: Taking taylor expansion of k in n 2.473 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.473 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.473 * [taylor]: Taking taylor expansion of 0.5 in n 2.473 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.473 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.473 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.473 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.473 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.473 * [taylor]: Taking taylor expansion of 1.0 in n 2.473 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.473 * [taylor]: Taking taylor expansion of -2.0 in n 2.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.475 * [taylor]: Taking taylor expansion of 1.0 in n 2.475 * [taylor]: Taking taylor expansion of (log PI) in n 2.475 * [taylor]: Taking taylor expansion of PI in n 2.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.477 * [taylor]: Taking taylor expansion of 1.0 in n 2.477 * [taylor]: Taking taylor expansion of (log n) in n 2.477 * [taylor]: Taking taylor expansion of n in n 2.499 * * * [progress]: simplifying candidates 2.503 * [simplify]: Simplifying using # : (* (* 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (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) (* (/ 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) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 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) (/ 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))))) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 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))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (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 (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (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 (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 (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 (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 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (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 (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 (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 (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 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (* (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (sqrt (/ (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) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) 1)) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1)) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1)) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ 1 (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ 1 (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ 1 1)) (* (/ 1.0 (sqrt k)) (/ 1 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) 1)) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1 (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))) (* 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)) (neg (+ (* +nan.0 k) (neg (+ (* +nan.0 (pow k 2)) (neg +nan.0))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg (* +nan.0 (/ 1 (pow k 3)))))))) (neg (+ (* +nan.0 (/ 1 (pow k 2))) (neg (+ (* +nan.0 (/ 1 k)) (neg +nan.0))))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (neg (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (* +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)))))))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (* +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)))))))) 2.519 * * [simplify]: iteration 0 : 1271 enodes (cost 2638 ) 2.541 * * [simplify]: iteration 1 : 5001 enodes (cost 2478 ) 2.561 * [simplify]: Simplified to: (* 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) (* 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) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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)) (/ (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) (/ (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 (/ 1.0 (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 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (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 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (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 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 (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (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 (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 (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 (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 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (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 (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 (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 (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 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (* (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (sqrt (/ (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) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ k 2.0))) (/ (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (neg (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (neg (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (+ (neg (* +nan.0 (/ 1 (pow k 2)))) (- (* +nan.0 (/ 1 k)) +nan.0)) (+ (neg (* +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))) (- (* +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)))))))))))) (+ (neg (* +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))))) (+ (neg (* +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))))) 2.562 * * * [progress]: adding candidates to table 3.019 * * [progress]: iteration 3 / 4 3.019 * * * [progress]: picking best candidate 3.047 * * * * [pick]: Picked # 3.047 * * * [progress]: localizing error 3.066 * * * [progress]: generating rewritten candidates 3.066 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 3.071 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 3.076 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.086 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 3.098 * * * [progress]: generating series expansions 3.098 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 3.098 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.098 * [taylor]: Taking taylor expansion of 2.0 in n 3.098 * [taylor]: Taking taylor expansion of (* n PI) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [taylor]: Taking taylor expansion of PI in n 3.098 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.098 * [taylor]: Taking taylor expansion of 2.0 in n 3.098 * [taylor]: Taking taylor expansion of (* n PI) in n 3.098 * [taylor]: Taking taylor expansion of n in n 3.098 * [taylor]: Taking taylor expansion of PI in n 3.111 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.111 * [taylor]: Taking taylor expansion of 2.0 in n 3.111 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.111 * [taylor]: Taking taylor expansion of PI in n 3.111 * [taylor]: Taking taylor expansion of n in n 3.112 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.112 * [taylor]: Taking taylor expansion of 2.0 in n 3.112 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.112 * [taylor]: Taking taylor expansion of PI in n 3.112 * [taylor]: Taking taylor expansion of n in n 3.121 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.121 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.121 * [taylor]: Taking taylor expansion of -2.0 in n 3.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.122 * [taylor]: Taking taylor expansion of PI in n 3.122 * [taylor]: Taking taylor expansion of n in n 3.122 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.122 * [taylor]: Taking taylor expansion of -2.0 in n 3.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.122 * [taylor]: Taking taylor expansion of PI in n 3.122 * [taylor]: Taking taylor expansion of n in n 3.130 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 3.131 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.131 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.131 * [taylor]: Taking taylor expansion of 2.0 in n 3.131 * [taylor]: Taking taylor expansion of (* n PI) in n 3.131 * [taylor]: Taking taylor expansion of n in n 3.131 * [taylor]: Taking taylor expansion of PI in n 3.131 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.131 * [taylor]: Taking taylor expansion of 2.0 in n 3.131 * [taylor]: Taking taylor expansion of (* n PI) in n 3.131 * [taylor]: Taking taylor expansion of n in n 3.131 * [taylor]: Taking taylor expansion of PI in n 3.149 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.150 * [taylor]: Taking taylor expansion of n in n 3.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.150 * [taylor]: Taking taylor expansion of 2.0 in n 3.150 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.150 * [taylor]: Taking taylor expansion of PI in n 3.150 * [taylor]: Taking taylor expansion of n in n 3.160 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.160 * [taylor]: Taking taylor expansion of -2.0 in n 3.160 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.160 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.160 * [taylor]: Taking taylor expansion of -2.0 in n 3.160 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.160 * [taylor]: Taking taylor expansion of PI in n 3.160 * [taylor]: Taking taylor expansion of n in n 3.169 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.170 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 3.170 * [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 3.170 * [taylor]: Taking taylor expansion of 1.0 in k 3.170 * [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 3.170 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.170 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.170 * [taylor]: Taking taylor expansion of k in k 3.172 * [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 3.172 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 3.172 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.172 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.172 * [taylor]: Taking taylor expansion of 0.5 in k 3.172 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.172 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.172 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.172 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.172 * [taylor]: Taking taylor expansion of 1.0 in k 3.172 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.172 * [taylor]: Taking taylor expansion of 2.0 in k 3.174 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.174 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.174 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.174 * [taylor]: Taking taylor expansion of 1.0 in k 3.174 * [taylor]: Taking taylor expansion of (log n) in k 3.174 * [taylor]: Taking taylor expansion of n in k 3.174 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.174 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.174 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.174 * [taylor]: Taking taylor expansion of 1.0 in k 3.174 * [taylor]: Taking taylor expansion of (log PI) in k 3.174 * [taylor]: Taking taylor expansion of PI in k 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.180 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.180 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.180 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.180 * [taylor]: Taking taylor expansion of 0.5 in k 3.180 * [taylor]: Taking taylor expansion of k in k 3.180 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.180 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.180 * [taylor]: Taking taylor expansion of 2.0 in k 3.180 * [taylor]: Taking taylor expansion of (* n PI) in k 3.180 * [taylor]: Taking taylor expansion of n in k 3.180 * [taylor]: Taking taylor expansion of PI in k 3.183 * [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 3.183 * [taylor]: Taking taylor expansion of 1.0 in n 3.183 * [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 3.183 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.183 * [taylor]: Taking taylor expansion of k in n 3.183 * [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 3.183 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.183 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.183 * [taylor]: Taking taylor expansion of 0.5 in n 3.183 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.183 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.183 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.183 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.183 * [taylor]: Taking taylor expansion of 1.0 in n 3.183 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.183 * [taylor]: Taking taylor expansion of 2.0 in n 3.185 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.185 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.185 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.185 * [taylor]: Taking taylor expansion of 1.0 in n 3.185 * [taylor]: Taking taylor expansion of (log n) in n 3.185 * [taylor]: Taking taylor expansion of n in n 3.186 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.186 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.186 * [taylor]: Taking taylor expansion of 1.0 in n 3.186 * [taylor]: Taking taylor expansion of (log PI) in n 3.186 * [taylor]: Taking taylor expansion of PI in n 3.191 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.191 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.191 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.191 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.191 * [taylor]: Taking taylor expansion of 0.5 in n 3.191 * [taylor]: Taking taylor expansion of k in n 3.191 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.191 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.191 * [taylor]: Taking taylor expansion of 2.0 in n 3.192 * [taylor]: Taking taylor expansion of (* n PI) in n 3.192 * [taylor]: Taking taylor expansion of n in n 3.192 * [taylor]: Taking taylor expansion of PI in n 3.197 * [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 3.198 * [taylor]: Taking taylor expansion of 1.0 in n 3.198 * [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 3.198 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.198 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.198 * [taylor]: Taking taylor expansion of k in n 3.198 * [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 3.198 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.198 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.198 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.198 * [taylor]: Taking taylor expansion of 0.5 in n 3.198 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.198 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.198 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.198 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.198 * [taylor]: Taking taylor expansion of 1.0 in n 3.198 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.198 * [taylor]: Taking taylor expansion of 2.0 in n 3.200 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.200 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.200 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.200 * [taylor]: Taking taylor expansion of 1.0 in n 3.200 * [taylor]: Taking taylor expansion of (log n) in n 3.200 * [taylor]: Taking taylor expansion of n in n 3.201 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.201 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.201 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.201 * [taylor]: Taking taylor expansion of 1.0 in n 3.201 * [taylor]: Taking taylor expansion of (log PI) in n 3.201 * [taylor]: Taking taylor expansion of PI in n 3.206 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.206 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.206 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.206 * [taylor]: Taking taylor expansion of 0.5 in n 3.206 * [taylor]: Taking taylor expansion of k in n 3.206 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.206 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.206 * [taylor]: Taking taylor expansion of 2.0 in n 3.206 * [taylor]: Taking taylor expansion of (* n PI) in n 3.206 * [taylor]: Taking taylor expansion of n in n 3.206 * [taylor]: Taking taylor expansion of PI in n 3.218 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 3.218 * [taylor]: Taking taylor expansion of 1.0 in k 3.218 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 3.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.218 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.218 * [taylor]: Taking taylor expansion of k in k 3.219 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 3.219 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.219 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.219 * [taylor]: Taking taylor expansion of 0.5 in k 3.219 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.219 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.219 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.219 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.219 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.219 * [taylor]: Taking taylor expansion of 1.0 in k 3.219 * [taylor]: Taking taylor expansion of (log PI) in k 3.219 * [taylor]: Taking taylor expansion of PI in k 3.221 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.221 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.221 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.221 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.221 * [taylor]: Taking taylor expansion of 1.0 in k 3.221 * [taylor]: Taking taylor expansion of (log n) in k 3.221 * [taylor]: Taking taylor expansion of n in k 3.221 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.221 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.221 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.222 * [taylor]: Taking taylor expansion of 1.0 in k 3.222 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.222 * [taylor]: Taking taylor expansion of 2.0 in k 3.227 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 3.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 3.227 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 3.227 * [taylor]: Taking taylor expansion of 0.5 in k 3.227 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 3.227 * [taylor]: Taking taylor expansion of k in k 3.227 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.227 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.227 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.227 * [taylor]: Taking taylor expansion of 2.0 in k 3.227 * [taylor]: Taking taylor expansion of PI in k 3.228 * [taylor]: Taking taylor expansion of (log n) in k 3.228 * [taylor]: Taking taylor expansion of n in k 3.265 * [taylor]: Taking taylor expansion of 0 in k 3.318 * [taylor]: Taking taylor expansion of 0 in k 3.426 * [taylor]: Taking taylor expansion of 0 in k 3.546 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 3.546 * [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 3.546 * [taylor]: Taking taylor expansion of 1.0 in k 3.546 * [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 3.546 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.546 * [taylor]: Taking taylor expansion of k in k 3.547 * [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 3.547 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.547 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.547 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.547 * [taylor]: Taking taylor expansion of 0.5 in k 3.547 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.547 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.547 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.547 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.547 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.547 * [taylor]: Taking taylor expansion of 1.0 in k 3.547 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.547 * [taylor]: Taking taylor expansion of 2.0 in k 3.549 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.549 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.549 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.549 * [taylor]: Taking taylor expansion of 1.0 in k 3.549 * [taylor]: Taking taylor expansion of (log PI) in k 3.549 * [taylor]: Taking taylor expansion of PI in k 3.551 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.551 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.551 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.551 * [taylor]: Taking taylor expansion of 1.0 in k 3.551 * [taylor]: Taking taylor expansion of (log n) in k 3.551 * [taylor]: Taking taylor expansion of n in k 3.558 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.558 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.558 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.558 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.558 * [taylor]: Taking taylor expansion of 0.5 in k 3.558 * [taylor]: Taking taylor expansion of k in k 3.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.558 * [taylor]: Taking taylor expansion of 2.0 in k 3.558 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.558 * [taylor]: Taking taylor expansion of PI in k 3.558 * [taylor]: Taking taylor expansion of n in k 3.559 * [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 3.559 * [taylor]: Taking taylor expansion of 1.0 in n 3.559 * [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 3.559 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.559 * [taylor]: Taking taylor expansion of k in n 3.559 * [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 3.559 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.559 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.559 * [taylor]: Taking taylor expansion of 0.5 in n 3.559 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.559 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.559 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.559 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.559 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.559 * [taylor]: Taking taylor expansion of 1.0 in n 3.559 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.559 * [taylor]: Taking taylor expansion of 2.0 in n 3.561 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.561 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.561 * [taylor]: Taking taylor expansion of 1.0 in n 3.561 * [taylor]: Taking taylor expansion of (log PI) in n 3.561 * [taylor]: Taking taylor expansion of PI in n 3.563 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.563 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.563 * [taylor]: Taking taylor expansion of 1.0 in n 3.563 * [taylor]: Taking taylor expansion of (log n) in n 3.563 * [taylor]: Taking taylor expansion of n in n 3.570 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.570 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.570 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.570 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.570 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.570 * [taylor]: Taking taylor expansion of 0.5 in n 3.570 * [taylor]: Taking taylor expansion of k in n 3.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.570 * [taylor]: Taking taylor expansion of 2.0 in n 3.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.570 * [taylor]: Taking taylor expansion of PI in n 3.570 * [taylor]: Taking taylor expansion of n in n 3.575 * [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 3.575 * [taylor]: Taking taylor expansion of 1.0 in n 3.575 * [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 3.575 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.575 * [taylor]: Taking taylor expansion of k in n 3.575 * [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 3.575 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.575 * [taylor]: Taking taylor expansion of 0.5 in n 3.575 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.575 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.575 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.575 * [taylor]: Taking taylor expansion of 1.0 in n 3.575 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.575 * [taylor]: Taking taylor expansion of 2.0 in n 3.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.577 * [taylor]: Taking taylor expansion of 1.0 in n 3.577 * [taylor]: Taking taylor expansion of (log PI) in n 3.577 * [taylor]: Taking taylor expansion of PI in n 3.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.579 * [taylor]: Taking taylor expansion of 1.0 in n 3.579 * [taylor]: Taking taylor expansion of (log n) in n 3.579 * [taylor]: Taking taylor expansion of n in n 3.586 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.586 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.586 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.586 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.586 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.586 * [taylor]: Taking taylor expansion of 0.5 in n 3.586 * [taylor]: Taking taylor expansion of k in n 3.586 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.586 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.586 * [taylor]: Taking taylor expansion of 2.0 in n 3.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.586 * [taylor]: Taking taylor expansion of PI in n 3.586 * [taylor]: Taking taylor expansion of n in n 3.603 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 3.603 * [taylor]: Taking taylor expansion of 1.0 in k 3.603 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 3.603 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.603 * [taylor]: Taking taylor expansion of k in k 3.605 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 3.605 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.605 * [taylor]: Taking taylor expansion of 0.5 in k 3.605 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.605 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.605 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.605 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.605 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.605 * [taylor]: Taking taylor expansion of 1.0 in k 3.605 * [taylor]: Taking taylor expansion of (log PI) in k 3.605 * [taylor]: Taking taylor expansion of PI in k 3.607 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.607 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.607 * [taylor]: Taking taylor expansion of 1.0 in k 3.607 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.607 * [taylor]: Taking taylor expansion of 2.0 in k 3.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.609 * [taylor]: Taking taylor expansion of 1.0 in k 3.609 * [taylor]: Taking taylor expansion of (log n) in k 3.609 * [taylor]: Taking taylor expansion of n in k 3.615 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.615 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.615 * [taylor]: Taking taylor expansion of 0.5 in k 3.615 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.615 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.615 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.615 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.615 * [taylor]: Taking taylor expansion of 2.0 in k 3.615 * [taylor]: Taking taylor expansion of PI in k 3.616 * [taylor]: Taking taylor expansion of (log n) in k 3.616 * [taylor]: Taking taylor expansion of n in k 3.616 * [taylor]: Taking taylor expansion of k in k 3.650 * [taylor]: Taking taylor expansion of 0 in k 3.715 * [taylor]: Taking taylor expansion of 0 in k 3.800 * [taylor]: Taking taylor expansion of 0 in k 3.853 * [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 3.853 * [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 3.853 * [taylor]: Taking taylor expansion of 1.0 in k 3.853 * [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 3.853 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.853 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.853 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.853 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.853 * [taylor]: Taking taylor expansion of -1 in k 3.853 * [taylor]: Taking taylor expansion of k in k 3.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.855 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.855 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.855 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.855 * [taylor]: Taking taylor expansion of -0.5 in k 3.855 * [taylor]: Taking taylor expansion of k in k 3.855 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.855 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.855 * [taylor]: Taking taylor expansion of -2.0 in k 3.855 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.855 * [taylor]: Taking taylor expansion of PI in k 3.855 * [taylor]: Taking taylor expansion of n in k 3.856 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.856 * [taylor]: Taking taylor expansion of 0.5 in k 3.856 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.856 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.856 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.856 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.856 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.856 * [taylor]: Taking taylor expansion of 1.0 in k 3.856 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.856 * [taylor]: Taking taylor expansion of -2.0 in k 3.865 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.865 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.865 * [taylor]: Taking taylor expansion of 1.0 in k 3.865 * [taylor]: Taking taylor expansion of (log PI) in k 3.865 * [taylor]: Taking taylor expansion of PI in k 3.867 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.867 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.867 * [taylor]: Taking taylor expansion of 1.0 in k 3.867 * [taylor]: Taking taylor expansion of (log n) in k 3.867 * [taylor]: Taking taylor expansion of n in k 3.874 * [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 3.874 * [taylor]: Taking taylor expansion of 1.0 in n 3.874 * [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 3.874 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.874 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.874 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.874 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.874 * [taylor]: Taking taylor expansion of -1 in n 3.874 * [taylor]: Taking taylor expansion of k in n 3.874 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.874 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.874 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.874 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.874 * [taylor]: Taking taylor expansion of -0.5 in n 3.875 * [taylor]: Taking taylor expansion of k in n 3.875 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.875 * [taylor]: Taking taylor expansion of -2.0 in n 3.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.875 * [taylor]: Taking taylor expansion of PI in n 3.875 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.880 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.880 * [taylor]: Taking taylor expansion of 0.5 in n 3.880 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.880 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.880 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.880 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.880 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.880 * [taylor]: Taking taylor expansion of 1.0 in n 3.880 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.880 * [taylor]: Taking taylor expansion of -2.0 in n 3.882 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.882 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.882 * [taylor]: Taking taylor expansion of 1.0 in n 3.882 * [taylor]: Taking taylor expansion of (log PI) in n 3.882 * [taylor]: Taking taylor expansion of PI in n 3.884 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.884 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.884 * [taylor]: Taking taylor expansion of 1.0 in n 3.884 * [taylor]: Taking taylor expansion of (log n) in n 3.884 * [taylor]: Taking taylor expansion of n in n 3.891 * [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 3.891 * [taylor]: Taking taylor expansion of 1.0 in n 3.891 * [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 3.891 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.891 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.891 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.891 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.891 * [taylor]: Taking taylor expansion of -1 in n 3.891 * [taylor]: Taking taylor expansion of k in n 3.891 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.891 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.891 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.891 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.891 * [taylor]: Taking taylor expansion of -0.5 in n 3.891 * [taylor]: Taking taylor expansion of k in n 3.891 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.891 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.891 * [taylor]: Taking taylor expansion of -2.0 in n 3.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.891 * [taylor]: Taking taylor expansion of PI in n 3.891 * [taylor]: Taking taylor expansion of n in n 3.896 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.896 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.896 * [taylor]: Taking taylor expansion of 0.5 in n 3.896 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.896 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.896 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.896 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.896 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.896 * [taylor]: Taking taylor expansion of 1.0 in n 3.896 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.896 * [taylor]: Taking taylor expansion of -2.0 in n 3.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.898 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.898 * [taylor]: Taking taylor expansion of 1.0 in n 3.898 * [taylor]: Taking taylor expansion of (log PI) in n 3.898 * [taylor]: Taking taylor expansion of PI in n 3.900 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.900 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.900 * [taylor]: Taking taylor expansion of 1.0 in n 3.900 * [taylor]: Taking taylor expansion of (log n) in n 3.900 * [taylor]: Taking taylor expansion of n in n 3.911 * [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 3.911 * [taylor]: Taking taylor expansion of 1.0 in k 3.911 * [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 3.911 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 3.911 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 3.911 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.911 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.911 * [taylor]: Taking taylor expansion of -0.5 in k 3.911 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.911 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.912 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.912 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.912 * [taylor]: Taking taylor expansion of -2.0 in k 3.912 * [taylor]: Taking taylor expansion of PI in k 3.913 * [taylor]: Taking taylor expansion of (log n) in k 3.913 * [taylor]: Taking taylor expansion of n in k 3.913 * [taylor]: Taking taylor expansion of k in k 3.916 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.916 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.916 * [taylor]: Taking taylor expansion of -1 in k 3.916 * [taylor]: Taking taylor expansion of k in k 3.920 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.920 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.920 * [taylor]: Taking taylor expansion of 0.5 in k 3.920 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.920 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.920 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.920 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.920 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.920 * [taylor]: Taking taylor expansion of 1.0 in k 3.920 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.920 * [taylor]: Taking taylor expansion of -2.0 in k 3.922 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.922 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.922 * [taylor]: Taking taylor expansion of 1.0 in k 3.922 * [taylor]: Taking taylor expansion of (log PI) in k 3.922 * [taylor]: Taking taylor expansion of PI in k 3.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.924 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.924 * [taylor]: Taking taylor expansion of 1.0 in k 3.924 * [taylor]: Taking taylor expansion of (log n) in k 3.924 * [taylor]: Taking taylor expansion of n in k 3.967 * [taylor]: Taking taylor expansion of 0 in k 4.028 * [taylor]: Taking taylor expansion of 0 in k 4.082 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 4.083 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 4.083 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.083 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.083 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.083 * [taylor]: Taking taylor expansion of 0.5 in n 4.083 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.083 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.083 * [taylor]: Taking taylor expansion of 2.0 in n 4.083 * [taylor]: Taking taylor expansion of (* n PI) in n 4.083 * [taylor]: Taking taylor expansion of n in n 4.083 * [taylor]: Taking taylor expansion of PI in n 4.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 4.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 4.088 * [taylor]: Taking taylor expansion of 0.5 in n 4.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.088 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.088 * [taylor]: Taking taylor expansion of 2.0 in n 4.088 * [taylor]: Taking taylor expansion of (* n PI) in n 4.088 * [taylor]: Taking taylor expansion of n in n 4.088 * [taylor]: Taking taylor expansion of PI in n 4.173 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 4.173 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 4.173 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 4.173 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 4.173 * [taylor]: Taking taylor expansion of 0.5 in n 4.173 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.173 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.173 * [taylor]: Taking taylor expansion of 2.0 in n 4.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.173 * [taylor]: Taking taylor expansion of PI in n 4.173 * [taylor]: Taking taylor expansion of n in n 4.176 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 4.176 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 4.176 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 4.177 * [taylor]: Taking taylor expansion of 0.5 in n 4.177 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.177 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.177 * [taylor]: Taking taylor expansion of 2.0 in n 4.177 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.177 * [taylor]: Taking taylor expansion of PI in n 4.177 * [taylor]: Taking taylor expansion of n in n 4.257 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 4.257 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.257 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.257 * [taylor]: Taking taylor expansion of 0.5 in n 4.257 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.257 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.257 * [taylor]: Taking taylor expansion of -2.0 in n 4.257 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.257 * [taylor]: Taking taylor expansion of PI in n 4.257 * [taylor]: Taking taylor expansion of n in n 4.260 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 4.260 * [taylor]: Taking taylor expansion of 0.5 in n 4.260 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.260 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.260 * [taylor]: Taking taylor expansion of -2.0 in n 4.260 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.260 * [taylor]: Taking taylor expansion of PI in n 4.260 * [taylor]: Taking taylor expansion of n in n 4.340 * * * [progress]: simplifying candidates 4.342 * [simplify]: Simplifying using # : (* (* 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 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))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (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))) (* (+ (+ (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)) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (neg (+ (* +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))) (neg (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (neg (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (neg (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (* +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)))))))) (neg (+ (* +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))) (neg (+ (* +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))) (neg (* +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))))) 4.353 * * [simplify]: iteration 0 : 916 enodes (cost 1358 ) 4.369 * * [simplify]: iteration 1 : 3952 enodes (cost 1199 ) 4.439 * * [simplify]: iteration 2 : 5002 enodes (cost 1199 ) 4.446 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (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))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (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))) (* (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) (+ (neg (* +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)))))))))))) (+ (* (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)))))))) (neg (* +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 (* (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)) (/ (neg (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))))))))) (neg (* +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))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 4.447 * * * [progress]: adding candidates to table 4.678 * * [progress]: iteration 4 / 4 4.678 * * * [progress]: picking best candidate 4.698 * * * * [pick]: Picked # 4.698 * * * [progress]: localizing error 4.719 * * * [progress]: generating rewritten candidates 4.719 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.727 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.732 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 4.737 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 4.744 * * * [progress]: generating series expansions 4.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.745 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in (n k) around 0 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in k 4.745 * [taylor]: Taking taylor expansion of 1.0 in k 4.745 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in k 4.745 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.745 * [taylor]: Taking taylor expansion of k in k 4.747 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in k 4.747 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 4.747 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 4.747 * [taylor]: Taking taylor expansion of 0.25 in k 4.747 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 4.747 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 4.747 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.747 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.747 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.747 * [taylor]: Taking taylor expansion of 1.0 in k 4.747 * [taylor]: Taking taylor expansion of (log PI) in k 4.747 * [taylor]: Taking taylor expansion of PI in k 4.749 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 4.749 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.749 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.749 * [taylor]: Taking taylor expansion of 1.0 in k 4.749 * [taylor]: Taking taylor expansion of (log n) in k 4.749 * [taylor]: Taking taylor expansion of n in k 4.749 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.749 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.749 * [taylor]: Taking taylor expansion of 1.0 in k 4.749 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.749 * [taylor]: Taking taylor expansion of 2.0 in k 4.755 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 4.755 * [taylor]: Taking taylor expansion of 1.0 in n 4.755 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 4.755 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.755 * [taylor]: Taking taylor expansion of k in n 4.756 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.756 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.756 * [taylor]: Taking taylor expansion of 0.25 in n 4.756 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.756 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.756 * [taylor]: Taking taylor expansion of 1.0 in n 4.756 * [taylor]: Taking taylor expansion of (log PI) in n 4.756 * [taylor]: Taking taylor expansion of PI in n 4.758 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.758 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.758 * [taylor]: Taking taylor expansion of 1.0 in n 4.758 * [taylor]: Taking taylor expansion of (log n) in n 4.758 * [taylor]: Taking taylor expansion of n in n 4.764 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.764 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.764 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.764 * [taylor]: Taking taylor expansion of 1.0 in n 4.764 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.764 * [taylor]: Taking taylor expansion of 2.0 in n 4.770 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 4.770 * [taylor]: Taking taylor expansion of 1.0 in n 4.770 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 4.770 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.770 * [taylor]: Taking taylor expansion of k in n 4.770 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 4.770 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.770 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.770 * [taylor]: Taking taylor expansion of 0.25 in n 4.770 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.770 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.770 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.770 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.770 * [taylor]: Taking taylor expansion of 1.0 in n 4.770 * [taylor]: Taking taylor expansion of (log PI) in n 4.770 * [taylor]: Taking taylor expansion of PI in n 4.772 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.772 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.772 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.772 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.772 * [taylor]: Taking taylor expansion of 1.0 in n 4.772 * [taylor]: Taking taylor expansion of (log n) in n 4.772 * [taylor]: Taking taylor expansion of n in n 4.773 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.773 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.773 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.773 * [taylor]: Taking taylor expansion of 1.0 in n 4.773 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.773 * [taylor]: Taking taylor expansion of 2.0 in n 4.780 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in k 4.780 * [taylor]: Taking taylor expansion of 1.0 in k 4.780 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in k 4.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.780 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.780 * [taylor]: Taking taylor expansion of k in k 4.782 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in k 4.782 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.782 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.782 * [taylor]: Taking taylor expansion of 0.25 in k 4.782 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.782 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.782 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.782 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.782 * [taylor]: Taking taylor expansion of 1.0 in k 4.782 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.782 * [taylor]: Taking taylor expansion of 2.0 in k 4.784 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.784 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.784 * [taylor]: Taking taylor expansion of 1.0 in k 4.784 * [taylor]: Taking taylor expansion of (log n) in k 4.784 * [taylor]: Taking taylor expansion of n in k 4.784 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.784 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.784 * [taylor]: Taking taylor expansion of 1.0 in k 4.784 * [taylor]: Taking taylor expansion of (log PI) in k 4.784 * [taylor]: Taking taylor expansion of PI in k 4.804 * [taylor]: Taking taylor expansion of 0 in k 4.838 * [taylor]: Taking taylor expansion of 0 in k 4.895 * [taylor]: Taking taylor expansion of 0 in k 4.930 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in (n k) around 0 4.930 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in k 4.930 * [taylor]: Taking taylor expansion of 1.0 in k 4.930 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in k 4.930 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.930 * [taylor]: Taking taylor expansion of k in k 4.931 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 4.931 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.931 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.931 * [taylor]: Taking taylor expansion of 0.25 in k 4.931 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.931 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.931 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.931 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.931 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.931 * [taylor]: Taking taylor expansion of 1.0 in k 4.931 * [taylor]: Taking taylor expansion of (log PI) in k 4.931 * [taylor]: Taking taylor expansion of PI in k 4.933 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.933 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.933 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.933 * [taylor]: Taking taylor expansion of 1.0 in k 4.933 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.933 * [taylor]: Taking taylor expansion of 2.0 in k 4.935 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.935 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.935 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.935 * [taylor]: Taking taylor expansion of 1.0 in k 4.935 * [taylor]: Taking taylor expansion of (log n) in k 4.935 * [taylor]: Taking taylor expansion of n in k 4.949 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in n 4.949 * [taylor]: Taking taylor expansion of 1.0 in n 4.949 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in n 4.949 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.949 * [taylor]: Taking taylor expansion of k in n 4.949 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 4.949 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.949 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.949 * [taylor]: Taking taylor expansion of 0.25 in n 4.949 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.949 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.949 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.949 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.949 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.949 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.949 * [taylor]: Taking taylor expansion of 1.0 in n 4.949 * [taylor]: Taking taylor expansion of (log PI) in n 4.949 * [taylor]: Taking taylor expansion of PI in n 4.951 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.951 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.951 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.951 * [taylor]: Taking taylor expansion of 1.0 in n 4.951 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.952 * [taylor]: Taking taylor expansion of 2.0 in n 4.953 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.953 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.953 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.953 * [taylor]: Taking taylor expansion of 1.0 in n 4.953 * [taylor]: Taking taylor expansion of (log n) in n 4.953 * [taylor]: Taking taylor expansion of n in n 4.961 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in n 4.961 * [taylor]: Taking taylor expansion of 1.0 in n 4.961 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in n 4.961 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.961 * [taylor]: Taking taylor expansion of k in n 4.961 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 4.961 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.961 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.961 * [taylor]: Taking taylor expansion of 0.25 in n 4.961 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.961 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.961 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.961 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.961 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.961 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.961 * [taylor]: Taking taylor expansion of 1.0 in n 4.961 * [taylor]: Taking taylor expansion of (log PI) in n 4.961 * [taylor]: Taking taylor expansion of PI in n 4.963 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.963 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.963 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.963 * [taylor]: Taking taylor expansion of 1.0 in n 4.963 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.963 * [taylor]: Taking taylor expansion of 2.0 in n 4.965 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.965 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.965 * [taylor]: Taking taylor expansion of 1.0 in n 4.965 * [taylor]: Taking taylor expansion of (log n) in n 4.965 * [taylor]: Taking taylor expansion of n in n 4.975 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25))) in k 4.975 * [taylor]: Taking taylor expansion of 1.0 in k 4.975 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25)) in k 4.975 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.975 * [taylor]: Taking taylor expansion of k in k 4.976 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 4.976 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.976 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.976 * [taylor]: Taking taylor expansion of 0.25 in k 4.976 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.976 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.976 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.976 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.976 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.976 * [taylor]: Taking taylor expansion of 1.0 in k 4.976 * [taylor]: Taking taylor expansion of (log PI) in k 4.976 * [taylor]: Taking taylor expansion of PI in k 4.978 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.978 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.978 * [taylor]: Taking taylor expansion of 1.0 in k 4.978 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.978 * [taylor]: Taking taylor expansion of 2.0 in k 4.980 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.980 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.980 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.980 * [taylor]: Taking taylor expansion of 1.0 in k 4.980 * [taylor]: Taking taylor expansion of (log n) in k 4.980 * [taylor]: Taking taylor expansion of n in k 5.004 * [taylor]: Taking taylor expansion of 0 in k 5.051 * [taylor]: Taking taylor expansion of 0 in k 5.108 * [taylor]: Taking taylor expansion of 0 in k 5.156 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in (n k) around 0 5.156 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in k 5.156 * [taylor]: Taking taylor expansion of 1.0 in k 5.156 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in k 5.156 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.156 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.156 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.156 * [taylor]: Taking taylor expansion of -1 in k 5.156 * [taylor]: Taking taylor expansion of k in k 5.157 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 5.157 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.158 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.158 * [taylor]: Taking taylor expansion of 0.25 in k 5.158 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.158 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.158 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.158 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.158 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.158 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.158 * [taylor]: Taking taylor expansion of 1.0 in k 5.158 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.158 * [taylor]: Taking taylor expansion of -2.0 in k 5.159 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.159 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.159 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.160 * [taylor]: Taking taylor expansion of 1.0 in k 5.160 * [taylor]: Taking taylor expansion of (log PI) in k 5.160 * [taylor]: Taking taylor expansion of PI in k 5.161 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.161 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.161 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.161 * [taylor]: Taking taylor expansion of 1.0 in k 5.161 * [taylor]: Taking taylor expansion of (log n) in k 5.161 * [taylor]: Taking taylor expansion of n in k 5.168 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in n 5.168 * [taylor]: Taking taylor expansion of 1.0 in n 5.168 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in n 5.168 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.168 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.168 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.168 * [taylor]: Taking taylor expansion of -1 in n 5.168 * [taylor]: Taking taylor expansion of k in n 5.169 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 5.169 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.169 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.169 * [taylor]: Taking taylor expansion of 0.25 in n 5.169 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.169 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.169 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.169 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.169 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.169 * [taylor]: Taking taylor expansion of 1.0 in n 5.169 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.169 * [taylor]: Taking taylor expansion of -2.0 in n 5.171 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.171 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.171 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.171 * [taylor]: Taking taylor expansion of 1.0 in n 5.171 * [taylor]: Taking taylor expansion of (log PI) in n 5.171 * [taylor]: Taking taylor expansion of PI in n 5.173 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.173 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.173 * [taylor]: Taking taylor expansion of 1.0 in n 5.173 * [taylor]: Taking taylor expansion of (log n) in n 5.173 * [taylor]: Taking taylor expansion of n in n 5.180 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in n 5.180 * [taylor]: Taking taylor expansion of 1.0 in n 5.180 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in n 5.180 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.180 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.180 * [taylor]: Taking taylor expansion of -1 in n 5.180 * [taylor]: Taking taylor expansion of k in n 5.180 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 5.180 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.180 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.180 * [taylor]: Taking taylor expansion of 0.25 in n 5.180 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.180 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.180 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.180 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.180 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.180 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.180 * [taylor]: Taking taylor expansion of 1.0 in n 5.180 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.180 * [taylor]: Taking taylor expansion of -2.0 in n 5.182 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.182 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.182 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.182 * [taylor]: Taking taylor expansion of 1.0 in n 5.182 * [taylor]: Taking taylor expansion of (log PI) in n 5.182 * [taylor]: Taking taylor expansion of PI in n 5.184 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.184 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.184 * [taylor]: Taking taylor expansion of 1.0 in n 5.184 * [taylor]: Taking taylor expansion of (log n) in n 5.184 * [taylor]: Taking taylor expansion of n in n 5.194 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25))) in k 5.194 * [taylor]: Taking taylor expansion of 1.0 in k 5.194 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25)) in k 5.194 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.194 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.194 * [taylor]: Taking taylor expansion of -1 in k 5.194 * [taylor]: Taking taylor expansion of k in k 5.196 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 5.196 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.196 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.196 * [taylor]: Taking taylor expansion of 0.25 in k 5.196 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.196 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.196 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.196 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.196 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.196 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.196 * [taylor]: Taking taylor expansion of 1.0 in k 5.196 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.196 * [taylor]: Taking taylor expansion of -2.0 in k 5.198 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.198 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.198 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.198 * [taylor]: Taking taylor expansion of 1.0 in k 5.198 * [taylor]: Taking taylor expansion of (log PI) in k 5.198 * [taylor]: Taking taylor expansion of PI in k 5.200 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.200 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.200 * [taylor]: Taking taylor expansion of 1.0 in k 5.200 * [taylor]: Taking taylor expansion of (log n) in k 5.200 * [taylor]: Taking taylor expansion of n in k 5.233 * [taylor]: Taking taylor expansion of 0 in k 5.278 * [taylor]: Taking taylor expansion of 0 in k 5.321 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.321 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.321 * [taylor]: Taking taylor expansion of 2.0 in n 5.321 * [taylor]: Taking taylor expansion of (* n PI) in n 5.321 * [taylor]: Taking taylor expansion of n in n 5.321 * [taylor]: Taking taylor expansion of PI in n 5.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.321 * [taylor]: Taking taylor expansion of 2.0 in n 5.321 * [taylor]: Taking taylor expansion of (* n PI) in n 5.321 * [taylor]: Taking taylor expansion of n in n 5.321 * [taylor]: Taking taylor expansion of PI in n 5.334 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.334 * [taylor]: Taking taylor expansion of 2.0 in n 5.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.334 * [taylor]: Taking taylor expansion of PI in n 5.334 * [taylor]: Taking taylor expansion of n in n 5.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.335 * [taylor]: Taking taylor expansion of 2.0 in n 5.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.335 * [taylor]: Taking taylor expansion of PI in n 5.335 * [taylor]: Taking taylor expansion of n in n 5.344 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.344 * [taylor]: Taking taylor expansion of -2.0 in n 5.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.344 * [taylor]: Taking taylor expansion of PI in n 5.344 * [taylor]: Taking taylor expansion of n in n 5.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.344 * [taylor]: Taking taylor expansion of -2.0 in n 5.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.344 * [taylor]: Taking taylor expansion of PI in n 5.344 * [taylor]: Taking taylor expansion of n in n 5.353 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 5.353 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.353 * [taylor]: Taking taylor expansion of 2.0 in n 5.353 * [taylor]: Taking taylor expansion of (* n PI) in n 5.353 * [taylor]: Taking taylor expansion of n in n 5.353 * [taylor]: Taking taylor expansion of PI in n 5.353 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.353 * [taylor]: Taking taylor expansion of 2.0 in n 5.353 * [taylor]: Taking taylor expansion of (* n PI) in n 5.353 * [taylor]: Taking taylor expansion of n in n 5.353 * [taylor]: Taking taylor expansion of PI in n 5.366 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.366 * [taylor]: Taking taylor expansion of 2.0 in n 5.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.366 * [taylor]: Taking taylor expansion of PI in n 5.366 * [taylor]: Taking taylor expansion of n in n 5.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.366 * [taylor]: Taking taylor expansion of 2.0 in n 5.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.366 * [taylor]: Taking taylor expansion of PI in n 5.366 * [taylor]: Taking taylor expansion of n in n 5.375 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.375 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.375 * [taylor]: Taking taylor expansion of -2.0 in n 5.375 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.375 * [taylor]: Taking taylor expansion of PI in n 5.375 * [taylor]: Taking taylor expansion of n in n 5.376 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.376 * [taylor]: Taking taylor expansion of -2.0 in n 5.376 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.376 * [taylor]: Taking taylor expansion of PI in n 5.376 * [taylor]: Taking taylor expansion of n in n 5.385 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 5.385 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.385 * [taylor]: Taking taylor expansion of 2.0 in n 5.385 * [taylor]: Taking taylor expansion of (* n PI) in n 5.385 * [taylor]: Taking taylor expansion of n in n 5.385 * [taylor]: Taking taylor expansion of PI in n 5.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.385 * [taylor]: Taking taylor expansion of 2.0 in n 5.385 * [taylor]: Taking taylor expansion of (* n PI) in n 5.385 * [taylor]: Taking taylor expansion of n in n 5.385 * [taylor]: Taking taylor expansion of PI in n 5.405 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.405 * [taylor]: Taking taylor expansion of 2.0 in n 5.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.405 * [taylor]: Taking taylor expansion of PI in n 5.405 * [taylor]: Taking taylor expansion of n in n 5.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.405 * [taylor]: Taking taylor expansion of 2.0 in n 5.405 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.405 * [taylor]: Taking taylor expansion of PI in n 5.405 * [taylor]: Taking taylor expansion of n in n 5.414 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.414 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.414 * [taylor]: Taking taylor expansion of -2.0 in n 5.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.414 * [taylor]: Taking taylor expansion of PI in n 5.414 * [taylor]: Taking taylor expansion of n in n 5.415 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.415 * [taylor]: Taking taylor expansion of -2.0 in n 5.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.415 * [taylor]: Taking taylor expansion of PI in n 5.415 * [taylor]: Taking taylor expansion of n in n 5.423 * * * [progress]: simplifying candidates 5.425 * [simplify]: Simplifying using # : (- (+ (log 1.0) (log (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (sqrt k))) (- (log (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (exp (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (sqrt (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))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (* (* (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (neg (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (neg (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt 1)) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 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) (* (* 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) (neg (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) (neg (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (neg (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))))))) (neg (+ (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) (neg (+ (* +nan.0 (* (/ 1 k) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) (neg (* +nan.0 (* (/ 1 (pow k 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)))))))) (neg (+ (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ 1 (pow k 2)))) (neg (+ (* +nan.0 (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) (neg (* +nan.0 (* (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ 1 k)))))))) (* 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)) 5.431 * * [simplify]: iteration 0 : 399 enodes (cost 600 ) 5.439 * * [simplify]: iteration 1 : 1813 enodes (cost 501 ) 5.474 * * [simplify]: iteration 2 : 5002 enodes (cost 488 ) 5.477 * [simplify]: Simplified to: (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (log (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (exp (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)))) (cbrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (pow (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) 3) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k))) (neg (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (neg (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) 1.0 (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow k 1/2)) (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (sqrt k))) 1.0 (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow k 1/2)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (sqrt k))) (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 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) (* 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) (* 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) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (+ (neg +nan.0) (- (* +nan.0 k) (* +nan.0 (pow k 2))))) (+ (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (- (* +nan.0 (/ 1 k)) (* +nan.0 (/ 1 (pow k 3))))) (neg (* +nan.0 (* (/ 1 (pow k 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))))) (* +nan.0 (+ (/ (neg (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) (pow k 2)) (+ (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25) (/ (neg (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.25)) k)))) (* 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)) 5.478 * * * [progress]: adding candidates to table 5.718 * [progress]: [Phase 3 of 3] Extracting. 5.718 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.725 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.725 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.758 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.793 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.829 * * * [regime]: Found split indices: #