12.651 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.455 * * * [progress]: [2/2] Setting up program. 0.458 * [progress]: [Phase 2 of 3] Improving. 0.458 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.460 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.461 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.462 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.465 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.470 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.493 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.493 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.494 * * [progress]: iteration 1 / 4 0.494 * * * [progress]: picking best candidate 0.496 * * * * [pick]: Picked # 0.496 * * * [progress]: localizing error 0.510 * * * [progress]: generating rewritten candidates 0.510 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.514 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.529 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.546 * * * [progress]: generating series expansions 0.546 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.546 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.546 * [taylor]: Taking taylor expansion of 1.0 in k 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.546 * [taylor]: Taking taylor expansion of k in k 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.546 * [taylor]: Taking taylor expansion of 1.0 in k 0.546 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.546 * [taylor]: Taking taylor expansion of k in k 0.547 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.547 * [taylor]: Taking taylor expansion of 1.0 in k 0.547 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.547 * [taylor]: Taking taylor expansion of k in k 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.547 * [taylor]: Taking taylor expansion of 1.0 in k 0.547 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.547 * [taylor]: Taking taylor expansion of k in k 0.548 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.548 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.548 * [taylor]: Taking taylor expansion of 1.0 in k 0.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.549 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.549 * [taylor]: Taking taylor expansion of -1 in k 0.549 * [taylor]: Taking taylor expansion of k in k 0.549 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.549 * [taylor]: Taking taylor expansion of 1.0 in k 0.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.549 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.549 * [taylor]: Taking taylor expansion of -1 in k 0.549 * [taylor]: Taking taylor expansion of k in k 0.554 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.554 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.554 * [taylor]: Taking taylor expansion of k in n 0.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.554 * [taylor]: Taking taylor expansion of 0.5 in n 0.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.554 * [taylor]: Taking taylor expansion of 1.0 in n 0.554 * [taylor]: Taking taylor expansion of k in n 0.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.554 * [taylor]: Taking taylor expansion of 2.0 in n 0.554 * [taylor]: Taking taylor expansion of (* n PI) in n 0.554 * [taylor]: Taking taylor expansion of n in n 0.554 * [taylor]: Taking taylor expansion of PI in n 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.555 * [taylor]: Taking taylor expansion of 1.0 in k 0.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.555 * [taylor]: Taking taylor expansion of k in k 0.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.555 * [taylor]: Taking taylor expansion of 0.5 in k 0.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.555 * [taylor]: Taking taylor expansion of 1.0 in k 0.555 * [taylor]: Taking taylor expansion of k in k 0.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.555 * [taylor]: Taking taylor expansion of 2.0 in k 0.555 * [taylor]: Taking taylor expansion of (* n PI) in k 0.555 * [taylor]: Taking taylor expansion of n in k 0.555 * [taylor]: Taking taylor expansion of PI in k 0.555 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.555 * [taylor]: Taking taylor expansion of 1.0 in k 0.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.555 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.555 * [taylor]: Taking taylor expansion of k in k 0.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.555 * [taylor]: Taking taylor expansion of 0.5 in k 0.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.555 * [taylor]: Taking taylor expansion of 1.0 in k 0.555 * [taylor]: Taking taylor expansion of k in k 0.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.555 * [taylor]: Taking taylor expansion of 2.0 in k 0.555 * [taylor]: Taking taylor expansion of (* n PI) in k 0.555 * [taylor]: Taking taylor expansion of n in k 0.555 * [taylor]: Taking taylor expansion of PI in k 0.556 * [taylor]: Taking taylor expansion of 0 in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.557 * [taylor]: Taking taylor expansion of NAN in n 0.557 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.557 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.557 * [taylor]: Taking taylor expansion of 0.5 in n 0.557 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.557 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log PI) in n 0.557 * [taylor]: Taking taylor expansion of PI in n 0.557 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log n) in n 0.557 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.557 * [taylor]: Taking taylor expansion of 2.0 in n 0.561 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.561 * [taylor]: Taking taylor expansion of 0.5 in n 0.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.561 * [taylor]: Taking taylor expansion of 2.0 in n 0.561 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (log n) in n 0.561 * [taylor]: Taking taylor expansion of n in n 0.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log PI) in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.562 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.562 * [taylor]: Taking taylor expansion of NAN in n 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.563 * [taylor]: Taking taylor expansion of 0.5 in n 0.563 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.563 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.563 * [taylor]: Taking taylor expansion of 2.0 in n 0.563 * [taylor]: Taking taylor expansion of (* n PI) in n 0.563 * [taylor]: Taking taylor expansion of n in n 0.563 * [taylor]: Taking taylor expansion of PI in n 0.563 * [taylor]: Taking taylor expansion of NAN in n 0.563 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.563 * [taylor]: Taking taylor expansion of 0.5 in n 0.563 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.563 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.563 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.563 * [taylor]: Taking taylor expansion of 2.0 in n 0.563 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.563 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [taylor]: Taking taylor expansion of (log n) in n 0.563 * [taylor]: Taking taylor expansion of n in n 0.563 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.563 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.563 * [taylor]: Taking taylor expansion of 1.0 in n 0.563 * [taylor]: Taking taylor expansion of (log PI) in n 0.563 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.574 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.574 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.574 * [taylor]: Taking taylor expansion of 0.125 in n 0.574 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.574 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.574 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.574 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.574 * [taylor]: Taking taylor expansion of (* n PI) in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.574 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of NAN in n 0.574 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.574 * [taylor]: Taking taylor expansion of 0.5 in n 0.574 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.574 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.574 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.574 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log n) in n 0.575 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.575 * [taylor]: Taking taylor expansion of 1.0 in n 0.575 * [taylor]: Taking taylor expansion of (log PI) in n 0.575 * [taylor]: Taking taylor expansion of PI in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.576 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.576 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.576 * [taylor]: Taking taylor expansion of 0.5 in n 0.576 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.576 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.576 * [taylor]: Taking taylor expansion of 2.0 in n 0.576 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.576 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log n) in n 0.576 * [taylor]: Taking taylor expansion of n in n 0.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.576 * [taylor]: Taking taylor expansion of 1.0 in n 0.576 * [taylor]: Taking taylor expansion of (log PI) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.577 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.577 * [taylor]: Taking taylor expansion of NAN in n 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.577 * [taylor]: Taking taylor expansion of 0.5 in n 0.577 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.577 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.577 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.577 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.577 * [taylor]: Taking taylor expansion of 2.0 in n 0.577 * [taylor]: Taking taylor expansion of (* n PI) in n 0.577 * [taylor]: Taking taylor expansion of n in n 0.577 * [taylor]: Taking taylor expansion of PI in n 0.577 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.577 * [taylor]: Taking taylor expansion of NAN in n 0.577 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.577 * [taylor]: Taking taylor expansion of 0.5 in n 0.577 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.577 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.577 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.578 * [taylor]: Taking taylor expansion of 2.0 in n 0.578 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.578 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log n) in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.578 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log PI) in n 0.578 * [taylor]: Taking taylor expansion of PI in n 0.592 * [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 0.592 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.592 * [taylor]: Taking taylor expansion of 1.0 in n 0.592 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.592 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.592 * [taylor]: Taking taylor expansion of k in n 0.592 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.592 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.592 * [taylor]: Taking taylor expansion of 0.5 in n 0.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.592 * [taylor]: Taking taylor expansion of 1.0 in n 0.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.592 * [taylor]: Taking taylor expansion of k in n 0.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.592 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.592 * [taylor]: Taking taylor expansion of 2.0 in n 0.592 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.592 * [taylor]: Taking taylor expansion of PI in n 0.592 * [taylor]: Taking taylor expansion of n in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.593 * [taylor]: Taking taylor expansion of 1.0 in k 0.593 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.593 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.593 * [taylor]: Taking taylor expansion of k in k 0.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.593 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.593 * [taylor]: Taking taylor expansion of 0.5 in k 0.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.593 * [taylor]: Taking taylor expansion of 1.0 in k 0.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.593 * [taylor]: Taking taylor expansion of k in k 0.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.593 * [taylor]: Taking taylor expansion of 2.0 in k 0.593 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.593 * [taylor]: Taking taylor expansion of PI in k 0.593 * [taylor]: Taking taylor expansion of n in k 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.593 * [taylor]: Taking taylor expansion of 1.0 in k 0.593 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.593 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.593 * [taylor]: Taking taylor expansion of k in k 0.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.594 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.594 * [taylor]: Taking taylor expansion of 0.5 in k 0.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.594 * [taylor]: Taking taylor expansion of 1.0 in k 0.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.594 * [taylor]: Taking taylor expansion of k in k 0.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.594 * [taylor]: Taking taylor expansion of 2.0 in k 0.594 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.594 * [taylor]: Taking taylor expansion of PI in k 0.594 * [taylor]: Taking taylor expansion of n in k 0.594 * [taylor]: Taking taylor expansion of 0 in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.594 * [taylor]: Taking taylor expansion of NAN in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.594 * [taylor]: Taking taylor expansion of 0.5 in n 0.595 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.595 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.595 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.595 * [taylor]: Taking taylor expansion of k in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.596 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.596 * [taylor]: Taking taylor expansion of NAN in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.596 * [taylor]: Taking taylor expansion of 0.5 in n 0.596 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.596 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.596 * [taylor]: Taking taylor expansion of n in n 0.596 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.596 * [taylor]: Taking taylor expansion of k in n 0.599 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.599 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.599 * [taylor]: Taking taylor expansion of NAN in n 0.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.599 * [taylor]: Taking taylor expansion of 0.5 in n 0.599 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.599 * [taylor]: Taking taylor expansion of 2.0 in n 0.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.599 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.599 * [taylor]: Taking taylor expansion of k in n 0.601 * [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 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.601 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.601 * [taylor]: Taking taylor expansion of -2.0 in n 0.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.601 * [taylor]: Taking taylor expansion of PI in n 0.601 * [taylor]: Taking taylor expansion of n in n 0.601 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.601 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.601 * [taylor]: Taking taylor expansion of -1 in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.602 * [taylor]: Taking taylor expansion of 1.0 in k 0.602 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.602 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.602 * [taylor]: Taking taylor expansion of 0.5 in k 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.602 * [taylor]: Taking taylor expansion of k in k 0.602 * [taylor]: Taking taylor expansion of 1.0 in k 0.602 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.602 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.602 * [taylor]: Taking taylor expansion of -2.0 in k 0.602 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.602 * [taylor]: Taking taylor expansion of PI in k 0.602 * [taylor]: Taking taylor expansion of n in k 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.602 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.602 * [taylor]: Taking taylor expansion of -1 in k 0.602 * [taylor]: Taking taylor expansion of k in k 0.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.602 * [taylor]: Taking taylor expansion of 1.0 in k 0.602 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.602 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.602 * [taylor]: Taking taylor expansion of 0.5 in k 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of 1.0 in k 0.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.603 * [taylor]: Taking taylor expansion of -2.0 in k 0.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.603 * [taylor]: Taking taylor expansion of PI in k 0.603 * [taylor]: Taking taylor expansion of n in k 0.603 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.603 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.603 * [taylor]: Taking taylor expansion of -1 in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.603 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.603 * [taylor]: Taking taylor expansion of 0.5 in n 0.603 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.603 * [taylor]: Taking taylor expansion of k in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.603 * [taylor]: Taking taylor expansion of -2.0 in n 0.604 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.604 * [taylor]: Taking taylor expansion of PI in n 0.604 * [taylor]: Taking taylor expansion of n in n 0.604 * [taylor]: Taking taylor expansion of NAN in n 0.605 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.605 * [taylor]: Taking taylor expansion of 0.5 in n 0.605 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.605 * [taylor]: Taking taylor expansion of k in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.605 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.605 * [taylor]: Taking taylor expansion of -2.0 in n 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of NAN in n 0.607 * [taylor]: Taking taylor expansion of 0 in n 0.610 * [taylor]: Taking taylor expansion of 0 in n 0.611 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.611 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.611 * [taylor]: Taking taylor expansion of 2.0 in n 0.611 * [taylor]: Taking taylor expansion of (* n PI) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.611 * [taylor]: Taking taylor expansion of 2.0 in n 0.611 * [taylor]: Taking taylor expansion of (* n PI) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of PI in n 0.612 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.613 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.613 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.613 * [taylor]: Taking taylor expansion of -2.0 in n 0.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.613 * [taylor]: Taking taylor expansion of -2.0 in n 0.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.614 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.614 * [taylor]: Taking taylor expansion of 0.5 in k 0.614 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.614 * [taylor]: Taking taylor expansion of 1.0 in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.614 * [taylor]: Taking taylor expansion of 2.0 in k 0.614 * [taylor]: Taking taylor expansion of (* n PI) in k 0.614 * [taylor]: Taking taylor expansion of n in k 0.614 * [taylor]: Taking taylor expansion of PI in k 0.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.614 * [taylor]: Taking taylor expansion of 0.5 in n 0.614 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.614 * [taylor]: Taking taylor expansion of 2.0 in n 0.614 * [taylor]: Taking taylor expansion of (* n PI) in n 0.614 * [taylor]: Taking taylor expansion of n in n 0.614 * [taylor]: Taking taylor expansion of PI in n 0.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.615 * [taylor]: Taking taylor expansion of 0.5 in n 0.615 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of k in n 0.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.615 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.615 * [taylor]: Taking taylor expansion of 2.0 in n 0.615 * [taylor]: Taking taylor expansion of (* n PI) in n 0.615 * [taylor]: Taking taylor expansion of n in n 0.615 * [taylor]: Taking taylor expansion of PI in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.615 * [taylor]: Taking taylor expansion of 0.5 in k 0.615 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.615 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.615 * [taylor]: Taking taylor expansion of 1.0 in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.615 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.615 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.615 * [taylor]: Taking taylor expansion of 2.0 in k 0.615 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of (log n) in k 0.615 * [taylor]: Taking taylor expansion of n in k 0.616 * [taylor]: Taking taylor expansion of 0 in k 0.617 * [taylor]: Taking taylor expansion of 0 in k 0.619 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.620 * [taylor]: Taking taylor expansion of 0.5 in k 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.620 * [taylor]: Taking taylor expansion of 1.0 in k 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.620 * [taylor]: Taking taylor expansion of 2.0 in k 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.620 * [taylor]: Taking taylor expansion of PI in k 0.620 * [taylor]: Taking taylor expansion of n in k 0.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.620 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.620 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.620 * [taylor]: Taking taylor expansion of 0.5 in n 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.620 * [taylor]: Taking taylor expansion of k in n 0.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.621 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.624 * [taylor]: Taking taylor expansion of 0.5 in k 0.624 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.624 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.624 * [taylor]: Taking taylor expansion of 2.0 in k 0.624 * [taylor]: Taking taylor expansion of PI in k 0.624 * [taylor]: Taking taylor expansion of (log n) in k 0.624 * [taylor]: Taking taylor expansion of n in k 0.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of 0 in k 0.626 * [taylor]: Taking taylor expansion of 0 in k 0.627 * [taylor]: Taking taylor expansion of 0 in k 0.627 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.627 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.628 * [taylor]: Taking taylor expansion of 0.5 in k 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.628 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of 1.0 in k 0.628 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.628 * [taylor]: Taking taylor expansion of -2.0 in k 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.628 * [taylor]: Taking taylor expansion of PI in k 0.628 * [taylor]: Taking taylor expansion of n in k 0.628 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.628 * [taylor]: Taking taylor expansion of -2.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.629 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.629 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.629 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of -2.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.629 * [taylor]: Taking taylor expansion of 0.5 in k 0.629 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.629 * [taylor]: Taking taylor expansion of 1.0 in k 0.629 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.629 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.629 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.629 * [taylor]: Taking taylor expansion of -2.0 in k 0.629 * [taylor]: Taking taylor expansion of PI in k 0.629 * [taylor]: Taking taylor expansion of (log n) in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.630 * [taylor]: Taking taylor expansion of 0 in k 0.631 * [taylor]: Taking taylor expansion of 0 in k 0.632 * [taylor]: Taking taylor expansion of 0 in k 0.632 * * * [progress]: simplifying candidates 0.634 * [simplify]: Simplifying using # : (- (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))) (* (* 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) 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k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.644 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.661 * * [simplify]: iteration 1 : 4234 enodes (cost 1364 ) 0.727 * * [simplify]: iteration 2 : 5001 enodes (cost 1350 ) 0.735 * [simplify]: Simplified to: (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) (* 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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)) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 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)))))) 0.736 * * * [progress]: adding candidates to table 0.999 * * [progress]: iteration 2 / 4 0.999 * * * [progress]: picking best candidate 1.036 * * * * [pick]: Picked # 1.036 * * * [progress]: localizing error 1.054 * * * [progress]: generating rewritten candidates 1.054 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.064 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.073 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.084 * * * [progress]: generating series expansions 1.084 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.084 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.085 * [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 1.085 * [taylor]: Taking taylor expansion of 1.0 in k 1.085 * [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 1.085 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.085 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.085 * [taylor]: Taking taylor expansion of k in k 1.085 * [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 1.085 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.085 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.085 * [taylor]: Taking taylor expansion of 0.5 in k 1.085 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.085 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.085 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.085 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.085 * [taylor]: Taking taylor expansion of 1.0 in k 1.085 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.085 * [taylor]: Taking taylor expansion of 2.0 in k 1.085 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.085 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.085 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.085 * [taylor]: Taking taylor expansion of 1.0 in k 1.085 * [taylor]: Taking taylor expansion of (log n) in k 1.085 * [taylor]: Taking taylor expansion of n in k 1.085 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.085 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.085 * [taylor]: Taking taylor expansion of 1.0 in k 1.085 * [taylor]: Taking taylor expansion of (log PI) in k 1.085 * [taylor]: Taking taylor expansion of PI in k 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.086 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.086 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.086 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.086 * [taylor]: Taking taylor expansion of 0.5 in k 1.086 * [taylor]: Taking taylor expansion of k in k 1.086 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.086 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.086 * [taylor]: Taking taylor expansion of 2.0 in k 1.086 * [taylor]: Taking taylor expansion of (* n PI) in k 1.086 * [taylor]: Taking taylor expansion of n in k 1.086 * [taylor]: Taking taylor expansion of PI in k 1.087 * [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 1.087 * [taylor]: Taking taylor expansion of 1.0 in n 1.087 * [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 1.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.087 * [taylor]: Taking taylor expansion of k in n 1.087 * [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 1.087 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.087 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.087 * [taylor]: Taking taylor expansion of 0.5 in n 1.087 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.087 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.087 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.087 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.087 * [taylor]: Taking taylor expansion of 1.0 in n 1.087 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.087 * [taylor]: Taking taylor expansion of 2.0 in n 1.087 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.087 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.087 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.087 * [taylor]: Taking taylor expansion of 1.0 in n 1.087 * [taylor]: Taking taylor expansion of (log n) in n 1.087 * [taylor]: Taking taylor expansion of n in n 1.087 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.088 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.088 * [taylor]: Taking taylor expansion of 1.0 in n 1.088 * [taylor]: Taking taylor expansion of (log PI) in n 1.088 * [taylor]: Taking taylor expansion of PI in n 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.088 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.088 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.088 * [taylor]: Taking taylor expansion of 0.5 in n 1.088 * [taylor]: Taking taylor expansion of k in n 1.089 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.089 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.089 * [taylor]: Taking taylor expansion of 2.0 in n 1.089 * [taylor]: Taking taylor expansion of (* n PI) in n 1.089 * [taylor]: Taking taylor expansion of n in n 1.089 * [taylor]: Taking taylor expansion of PI in n 1.089 * [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 1.089 * [taylor]: Taking taylor expansion of 1.0 in n 1.089 * [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 1.089 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.089 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.089 * [taylor]: Taking taylor expansion of k in n 1.089 * [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 1.089 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.089 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.089 * [taylor]: Taking taylor expansion of 0.5 in n 1.089 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.089 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.089 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.089 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.089 * [taylor]: Taking taylor expansion of 1.0 in n 1.089 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.089 * [taylor]: Taking taylor expansion of 2.0 in n 1.089 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.090 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.090 * [taylor]: Taking taylor expansion of 1.0 in n 1.090 * [taylor]: Taking taylor expansion of (log n) in n 1.090 * [taylor]: Taking taylor expansion of n in n 1.090 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.090 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.090 * [taylor]: Taking taylor expansion of 1.0 in n 1.090 * [taylor]: Taking taylor expansion of (log PI) in n 1.090 * [taylor]: Taking taylor expansion of PI in n 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.091 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.091 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.091 * [taylor]: Taking taylor expansion of 0.5 in n 1.091 * [taylor]: Taking taylor expansion of k in n 1.091 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.091 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.091 * [taylor]: Taking taylor expansion of 2.0 in n 1.091 * [taylor]: Taking taylor expansion of (* n PI) in n 1.091 * [taylor]: Taking taylor expansion of n in n 1.091 * [taylor]: Taking taylor expansion of PI in n 1.092 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.092 * [taylor]: Taking taylor expansion of 1.0 in k 1.092 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.092 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.092 * [taylor]: Taking taylor expansion of k in k 1.092 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.092 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.092 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.092 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.092 * [taylor]: Taking taylor expansion of 0.5 in k 1.092 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.092 * [taylor]: Taking taylor expansion of k in k 1.092 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.092 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.092 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.092 * [taylor]: Taking taylor expansion of 2.0 in k 1.092 * [taylor]: Taking taylor expansion of PI in k 1.093 * [taylor]: Taking taylor expansion of (log n) in k 1.093 * [taylor]: Taking taylor expansion of n in k 1.093 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.093 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.093 * [taylor]: Taking taylor expansion of 0.5 in k 1.093 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.093 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.093 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.093 * [taylor]: Taking taylor expansion of 1.0 in k 1.093 * [taylor]: Taking taylor expansion of (log PI) in k 1.093 * [taylor]: Taking taylor expansion of PI in k 1.093 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.093 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.093 * [taylor]: Taking taylor expansion of 1.0 in k 1.093 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.093 * [taylor]: Taking taylor expansion of 1.0 in k 1.093 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.093 * [taylor]: Taking taylor expansion of (log 1) in k 1.093 * [taylor]: Taking taylor expansion of 1 in k 1.093 * [taylor]: Taking taylor expansion of (log n) in k 1.094 * [taylor]: Taking taylor expansion of n in k 1.094 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.094 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.094 * [taylor]: Taking taylor expansion of 1.0 in k 1.094 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.094 * [taylor]: Taking taylor expansion of 2.0 in k 1.098 * [taylor]: Taking taylor expansion of 0 in k 1.106 * [taylor]: Taking taylor expansion of 0 in k 1.124 * [taylor]: Taking taylor expansion of 0 in k 1.147 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.148 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.148 * [taylor]: Taking taylor expansion of 1.0 in k 1.148 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.148 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.148 * [taylor]: Taking taylor expansion of k in k 1.148 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.148 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.148 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.148 * [taylor]: Taking taylor expansion of 0.5 in k 1.148 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.148 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.148 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.148 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.148 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.148 * [taylor]: Taking taylor expansion of 1.0 in k 1.148 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.148 * [taylor]: Taking taylor expansion of 2.0 in k 1.148 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.148 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.148 * [taylor]: Taking taylor expansion of 1.0 in k 1.148 * [taylor]: Taking taylor expansion of (log PI) in k 1.148 * [taylor]: Taking taylor expansion of PI in k 1.148 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.148 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.148 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.148 * [taylor]: Taking taylor expansion of 1.0 in k 1.148 * [taylor]: Taking taylor expansion of (log n) in k 1.148 * [taylor]: Taking taylor expansion of n in k 1.149 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.149 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.149 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.149 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.149 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.149 * [taylor]: Taking taylor expansion of 0.5 in k 1.149 * [taylor]: Taking taylor expansion of k in k 1.149 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.149 * [taylor]: Taking taylor expansion of 2.0 in k 1.149 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.149 * [taylor]: Taking taylor expansion of PI in k 1.149 * [taylor]: Taking taylor expansion of n in k 1.150 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.150 * [taylor]: Taking taylor expansion of 1.0 in n 1.150 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.150 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.150 * [taylor]: Taking taylor expansion of k in n 1.150 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.150 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.150 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.150 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.150 * [taylor]: Taking taylor expansion of 0.5 in n 1.150 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.150 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.150 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.150 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.150 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.150 * [taylor]: Taking taylor expansion of 1.0 in n 1.150 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.150 * [taylor]: Taking taylor expansion of 2.0 in n 1.150 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.150 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.150 * [taylor]: Taking taylor expansion of 1.0 in n 1.150 * [taylor]: Taking taylor expansion of (log PI) in n 1.150 * [taylor]: Taking taylor expansion of PI in n 1.150 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.150 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.150 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.150 * [taylor]: Taking taylor expansion of 1.0 in n 1.150 * [taylor]: Taking taylor expansion of (log n) in n 1.150 * [taylor]: Taking taylor expansion of n in n 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.151 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.151 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.151 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.151 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.151 * [taylor]: Taking taylor expansion of 0.5 in n 1.151 * [taylor]: Taking taylor expansion of k in n 1.151 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.151 * [taylor]: Taking taylor expansion of 2.0 in n 1.151 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.151 * [taylor]: Taking taylor expansion of PI in n 1.151 * [taylor]: Taking taylor expansion of n in n 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.152 * [taylor]: Taking taylor expansion of 1.0 in n 1.152 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.152 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.152 * [taylor]: Taking taylor expansion of k in n 1.152 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.152 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.152 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.152 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.152 * [taylor]: Taking taylor expansion of 0.5 in n 1.152 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.152 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.152 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.152 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.152 * [taylor]: Taking taylor expansion of 1.0 in n 1.152 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.152 * [taylor]: Taking taylor expansion of 2.0 in n 1.152 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.152 * [taylor]: Taking taylor expansion of 1.0 in n 1.152 * [taylor]: Taking taylor expansion of (log PI) in n 1.152 * [taylor]: Taking taylor expansion of PI in n 1.152 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.152 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.152 * [taylor]: Taking taylor expansion of 1.0 in n 1.152 * [taylor]: Taking taylor expansion of (log n) in n 1.152 * [taylor]: Taking taylor expansion of n in n 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.153 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.153 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.153 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.153 * [taylor]: Taking taylor expansion of 0.5 in n 1.153 * [taylor]: Taking taylor expansion of k in n 1.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.153 * [taylor]: Taking taylor expansion of 2.0 in n 1.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.153 * [taylor]: Taking taylor expansion of PI in n 1.153 * [taylor]: Taking taylor expansion of n in n 1.155 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.155 * [taylor]: Taking taylor expansion of 1.0 in k 1.155 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.155 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.155 * [taylor]: Taking taylor expansion of k in k 1.155 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.155 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.155 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.155 * [taylor]: Taking taylor expansion of 0.5 in k 1.155 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.155 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.155 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.155 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.155 * [taylor]: Taking taylor expansion of 2.0 in k 1.155 * [taylor]: Taking taylor expansion of PI in k 1.155 * [taylor]: Taking taylor expansion of (log n) in k 1.155 * [taylor]: Taking taylor expansion of n in k 1.155 * [taylor]: Taking taylor expansion of k in k 1.155 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.155 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.155 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.156 * [taylor]: Taking taylor expansion of 0.5 in k 1.156 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.156 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.156 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.156 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.156 * [taylor]: Taking taylor expansion of 1.0 in k 1.156 * [taylor]: Taking taylor expansion of (log PI) in k 1.156 * [taylor]: Taking taylor expansion of PI in k 1.156 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.156 * [taylor]: Taking taylor expansion of 1.0 in k 1.156 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.156 * [taylor]: Taking taylor expansion of 2.0 in k 1.156 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.156 * [taylor]: Taking taylor expansion of 1.0 in k 1.156 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.156 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.156 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.156 * [taylor]: Taking taylor expansion of 1.0 in k 1.156 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.156 * [taylor]: Taking taylor expansion of (log 1) in k 1.156 * [taylor]: Taking taylor expansion of 1 in k 1.156 * [taylor]: Taking taylor expansion of (log n) in k 1.156 * [taylor]: Taking taylor expansion of n in k 1.161 * [taylor]: Taking taylor expansion of 0 in k 1.169 * [taylor]: Taking taylor expansion of 0 in k 1.180 * [taylor]: Taking taylor expansion of 0 in k 1.189 * [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 1.189 * [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 1.189 * [taylor]: Taking taylor expansion of 1.0 in k 1.190 * [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 1.190 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.190 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.190 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.190 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.190 * [taylor]: Taking taylor expansion of -1 in k 1.190 * [taylor]: Taking taylor expansion of k in k 1.190 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.190 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.190 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.190 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.190 * [taylor]: Taking taylor expansion of -0.5 in k 1.190 * [taylor]: Taking taylor expansion of k in k 1.190 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.190 * [taylor]: Taking taylor expansion of -2.0 in k 1.190 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.190 * [taylor]: Taking taylor expansion of PI in k 1.190 * [taylor]: Taking taylor expansion of n in k 1.190 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.190 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.190 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.190 * [taylor]: Taking taylor expansion of 0.5 in k 1.190 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.190 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.190 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.190 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.190 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.190 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.190 * [taylor]: Taking taylor expansion of 1.0 in k 1.190 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.190 * [taylor]: Taking taylor expansion of -2.0 in k 1.191 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.191 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.191 * [taylor]: Taking taylor expansion of 1.0 in k 1.191 * [taylor]: Taking taylor expansion of (log PI) in k 1.191 * [taylor]: Taking taylor expansion of PI in k 1.191 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.191 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.191 * [taylor]: Taking taylor expansion of 1.0 in k 1.191 * [taylor]: Taking taylor expansion of (log n) in k 1.191 * [taylor]: Taking taylor expansion of n in k 1.192 * [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 1.192 * [taylor]: Taking taylor expansion of 1.0 in n 1.192 * [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 1.192 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.192 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.192 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.192 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.192 * [taylor]: Taking taylor expansion of -1 in n 1.192 * [taylor]: Taking taylor expansion of k in n 1.192 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.192 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.192 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.192 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.192 * [taylor]: Taking taylor expansion of -0.5 in n 1.192 * [taylor]: Taking taylor expansion of k in n 1.192 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.192 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.192 * [taylor]: Taking taylor expansion of -2.0 in n 1.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.192 * [taylor]: Taking taylor expansion of PI in n 1.192 * [taylor]: Taking taylor expansion of n in n 1.193 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.193 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.193 * [taylor]: Taking taylor expansion of 0.5 in n 1.193 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.193 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.193 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.193 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.193 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.193 * [taylor]: Taking taylor expansion of 1.0 in n 1.193 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.193 * [taylor]: Taking taylor expansion of -2.0 in n 1.193 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.193 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.193 * [taylor]: Taking taylor expansion of 1.0 in n 1.193 * [taylor]: Taking taylor expansion of (log PI) in n 1.193 * [taylor]: Taking taylor expansion of PI in n 1.193 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.193 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.193 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.193 * [taylor]: Taking taylor expansion of 1.0 in n 1.193 * [taylor]: Taking taylor expansion of (log n) in n 1.193 * [taylor]: Taking taylor expansion of n in n 1.194 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.194 * [taylor]: Taking taylor expansion of 1.0 in n 1.194 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.194 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.194 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.194 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.194 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.194 * [taylor]: Taking taylor expansion of -1 in n 1.194 * [taylor]: Taking taylor expansion of k in n 1.194 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.194 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.194 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.194 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.194 * [taylor]: Taking taylor expansion of -0.5 in n 1.194 * [taylor]: Taking taylor expansion of k in n 1.194 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.194 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.194 * [taylor]: Taking taylor expansion of -2.0 in n 1.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.194 * [taylor]: Taking taylor expansion of PI in n 1.194 * [taylor]: Taking taylor expansion of n in n 1.195 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.195 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.195 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.195 * [taylor]: Taking taylor expansion of 0.5 in n 1.195 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.195 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.195 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.195 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.195 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.195 * [taylor]: Taking taylor expansion of 1.0 in n 1.195 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.195 * [taylor]: Taking taylor expansion of -2.0 in n 1.195 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.195 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.195 * [taylor]: Taking taylor expansion of 1.0 in n 1.195 * [taylor]: Taking taylor expansion of (log PI) in n 1.195 * [taylor]: Taking taylor expansion of PI in n 1.195 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.195 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.195 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.195 * [taylor]: Taking taylor expansion of 1.0 in n 1.195 * [taylor]: Taking taylor expansion of (log n) in n 1.195 * [taylor]: Taking taylor expansion of n in n 1.197 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.197 * [taylor]: Taking taylor expansion of 1.0 in k 1.197 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.197 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.197 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.197 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.199 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.199 * [taylor]: Taking taylor expansion of -0.5 in k 1.199 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.199 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.199 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.199 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.199 * [taylor]: Taking taylor expansion of -2.0 in k 1.199 * [taylor]: Taking taylor expansion of PI in k 1.199 * [taylor]: Taking taylor expansion of (log n) in k 1.199 * [taylor]: Taking taylor expansion of n in k 1.199 * [taylor]: Taking taylor expansion of k in k 1.199 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.199 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.199 * [taylor]: Taking taylor expansion of -1 in k 1.199 * [taylor]: Taking taylor expansion of k in k 1.200 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.200 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.200 * [taylor]: Taking taylor expansion of 0.5 in k 1.200 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.200 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.200 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.200 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.200 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.200 * [taylor]: Taking taylor expansion of 1.0 in k 1.200 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.200 * [taylor]: Taking taylor expansion of -2.0 in k 1.200 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.200 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.200 * [taylor]: Taking taylor expansion of 1.0 in k 1.200 * [taylor]: Taking taylor expansion of (log PI) in k 1.200 * [taylor]: Taking taylor expansion of PI in k 1.200 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.200 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.200 * [taylor]: Taking taylor expansion of 1.0 in k 1.200 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.200 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.200 * [taylor]: Taking taylor expansion of 1.0 in k 1.200 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.200 * [taylor]: Taking taylor expansion of (log 1) in k 1.200 * [taylor]: Taking taylor expansion of 1 in k 1.200 * [taylor]: Taking taylor expansion of (log n) in k 1.200 * [taylor]: Taking taylor expansion of n in k 1.205 * [taylor]: Taking taylor expansion of 0 in k 1.214 * [taylor]: Taking taylor expansion of 0 in k 1.225 * [taylor]: Taking taylor expansion of 0 in k 1.226 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.226 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.226 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.226 * [taylor]: Taking taylor expansion of 2.0 in n 1.226 * [taylor]: Taking taylor expansion of (* n PI) in n 1.226 * [taylor]: Taking taylor expansion of n in n 1.226 * [taylor]: Taking taylor expansion of PI in n 1.226 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.226 * [taylor]: Taking taylor expansion of 2.0 in n 1.226 * [taylor]: Taking taylor expansion of (* n PI) in n 1.226 * [taylor]: Taking taylor expansion of n in n 1.226 * [taylor]: Taking taylor expansion of PI in n 1.227 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.227 * [taylor]: Taking taylor expansion of 2.0 in n 1.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.227 * [taylor]: Taking taylor expansion of PI in n 1.227 * [taylor]: Taking taylor expansion of n in n 1.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.227 * [taylor]: Taking taylor expansion of 2.0 in n 1.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.227 * [taylor]: Taking taylor expansion of PI in n 1.227 * [taylor]: Taking taylor expansion of n in n 1.228 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.228 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.228 * [taylor]: Taking taylor expansion of -2.0 in n 1.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.228 * [taylor]: Taking taylor expansion of PI in n 1.228 * [taylor]: Taking taylor expansion of n in n 1.228 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.228 * [taylor]: Taking taylor expansion of -2.0 in n 1.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.228 * [taylor]: Taking taylor expansion of PI in n 1.228 * [taylor]: Taking taylor expansion of n in n 1.229 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.229 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.229 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.229 * [taylor]: Taking taylor expansion of 2.0 in n 1.229 * [taylor]: Taking taylor expansion of (* n PI) in n 1.229 * [taylor]: Taking taylor expansion of n in n 1.229 * [taylor]: Taking taylor expansion of PI in n 1.229 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.229 * [taylor]: Taking taylor expansion of 2.0 in n 1.229 * [taylor]: Taking taylor expansion of (* n PI) in n 1.229 * [taylor]: Taking taylor expansion of n in n 1.229 * [taylor]: Taking taylor expansion of PI in n 1.230 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.230 * [taylor]: Taking taylor expansion of 2.0 in n 1.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.230 * [taylor]: Taking taylor expansion of PI in n 1.230 * [taylor]: Taking taylor expansion of n in n 1.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.230 * [taylor]: Taking taylor expansion of 2.0 in n 1.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.230 * [taylor]: Taking taylor expansion of PI in n 1.230 * [taylor]: Taking taylor expansion of n in n 1.231 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.231 * [taylor]: Taking taylor expansion of -2.0 in n 1.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.231 * [taylor]: Taking taylor expansion of PI in n 1.231 * [taylor]: Taking taylor expansion of n in n 1.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.231 * [taylor]: Taking taylor expansion of -2.0 in n 1.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.231 * [taylor]: Taking taylor expansion of PI in n 1.231 * [taylor]: Taking taylor expansion of n in n 1.232 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.232 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.232 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.232 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.232 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.232 * [taylor]: Taking taylor expansion of 0.5 in n 1.232 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.232 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.232 * [taylor]: Taking taylor expansion of 2.0 in n 1.232 * [taylor]: Taking taylor expansion of (* n PI) in n 1.232 * [taylor]: Taking taylor expansion of n in n 1.232 * [taylor]: Taking taylor expansion of PI in n 1.232 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.232 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.232 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.233 * [taylor]: Taking taylor expansion of 0.5 in n 1.233 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.233 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.233 * [taylor]: Taking taylor expansion of 2.0 in n 1.233 * [taylor]: Taking taylor expansion of (* n PI) in n 1.233 * [taylor]: Taking taylor expansion of n in n 1.233 * [taylor]: Taking taylor expansion of PI in n 1.240 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.240 * [taylor]: Taking taylor expansion of 0.5 in n 1.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.240 * [taylor]: Taking taylor expansion of 2.0 in n 1.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.240 * [taylor]: Taking taylor expansion of PI in n 1.240 * [taylor]: Taking taylor expansion of n in n 1.240 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.240 * [taylor]: Taking taylor expansion of 0.5 in n 1.240 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.240 * [taylor]: Taking taylor expansion of 2.0 in n 1.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.240 * [taylor]: Taking taylor expansion of PI in n 1.240 * [taylor]: Taking taylor expansion of n in n 1.247 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.247 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.247 * [taylor]: Taking taylor expansion of 0.5 in n 1.247 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.247 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.247 * [taylor]: Taking taylor expansion of -2.0 in n 1.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.247 * [taylor]: Taking taylor expansion of PI in n 1.247 * [taylor]: Taking taylor expansion of n in n 1.248 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.248 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.248 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.248 * [taylor]: Taking taylor expansion of 0.5 in n 1.248 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.248 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.248 * [taylor]: Taking taylor expansion of -2.0 in n 1.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.248 * [taylor]: Taking taylor expansion of PI in n 1.248 * [taylor]: Taking taylor expansion of n in n 1.255 * * * [progress]: simplifying candidates 1.257 * [simplify]: Simplifying using # : (- (+ (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 (* (* 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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))) (* (* 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 (* (* 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)) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 1.354 * * * [progress]: adding candidates to table 1.509 * * [progress]: iteration 3 / 4 1.509 * * * [progress]: picking best candidate 1.545 * * * * [pick]: Picked # 1.545 * * * [progress]: localizing error 1.566 * * * [progress]: generating rewritten candidates 1.566 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.574 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.593 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.598 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 1.625 * * * [progress]: generating series expansions 1.625 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.626 * [approximate]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in (n) around 0 1.626 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.626 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.626 * [taylor]: Taking taylor expansion of 0.5 in n 1.626 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.626 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.626 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [taylor]: Taking taylor expansion of (log PI) in n 1.626 * [taylor]: Taking taylor expansion of PI in n 1.626 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.626 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [taylor]: Taking taylor expansion of (log n) in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.626 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.626 * [taylor]: Taking taylor expansion of 2.0 in n 1.627 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.627 * [taylor]: Taking taylor expansion of 0.5 in n 1.627 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.627 * [taylor]: Taking taylor expansion of 1.0 in n 1.627 * [taylor]: Taking taylor expansion of (log PI) in n 1.627 * [taylor]: Taking taylor expansion of PI in n 1.627 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log n) in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.628 * [taylor]: Taking taylor expansion of 2.0 in n 1.658 * [approximate]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in (n) around 0 1.658 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.658 * [taylor]: Taking taylor expansion of 0.5 in n 1.658 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.658 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.658 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.658 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.658 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.658 * [taylor]: Taking taylor expansion of 1.0 in n 1.658 * [taylor]: Taking taylor expansion of (log PI) in n 1.658 * [taylor]: Taking taylor expansion of PI in n 1.658 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.658 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.658 * [taylor]: Taking taylor expansion of 1.0 in n 1.658 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.658 * [taylor]: Taking taylor expansion of 2.0 in n 1.658 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.658 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.658 * [taylor]: Taking taylor expansion of 1.0 in n 1.658 * [taylor]: Taking taylor expansion of (log n) in n 1.658 * [taylor]: Taking taylor expansion of n in n 1.659 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.659 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.659 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.659 * [taylor]: Taking taylor expansion of 0.5 in n 1.659 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.659 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.659 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.659 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (log PI) in n 1.660 * [taylor]: Taking taylor expansion of PI in n 1.660 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.660 * [taylor]: Taking taylor expansion of 2.0 in n 1.660 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of (log n) in n 1.660 * [taylor]: Taking taylor expansion of n in n 1.698 * [approximate]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in (n) around 0 1.698 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.698 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.698 * [taylor]: Taking taylor expansion of 0.5 in n 1.698 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.698 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.698 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.698 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.698 * [taylor]: Taking taylor expansion of 1.0 in n 1.698 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.698 * [taylor]: Taking taylor expansion of -2.0 in n 1.699 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log PI) in n 1.699 * [taylor]: Taking taylor expansion of PI in n 1.699 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.699 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log n) in n 1.699 * [taylor]: Taking taylor expansion of n in n 1.700 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.700 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.700 * [taylor]: Taking taylor expansion of 0.5 in n 1.700 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.700 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.700 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.700 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.700 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.700 * [taylor]: Taking taylor expansion of -2.0 in n 1.700 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.700 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (log PI) in n 1.700 * [taylor]: Taking taylor expansion of PI in n 1.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.700 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.700 * [taylor]: Taking taylor expansion of 1.0 in n 1.700 * [taylor]: Taking taylor expansion of (log n) in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.732 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.732 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in (n k) around 0 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 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 1.733 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 1.733 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.733 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.733 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.733 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.733 * [taylor]: Taking taylor expansion of 0.5 in k 1.733 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.733 * [taylor]: Taking taylor expansion of 2.0 in k 1.733 * [taylor]: Taking taylor expansion of (* n PI) in k 1.733 * [taylor]: Taking taylor expansion of n in k 1.733 * [taylor]: Taking taylor expansion of PI in k 1.733 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.733 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.733 * [taylor]: Taking taylor expansion of 0.5 in k 1.733 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.733 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.733 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.733 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.733 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (log PI) in k 1.733 * [taylor]: Taking taylor expansion of PI in k 1.734 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.734 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.734 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of (log n) in k 1.734 * [taylor]: Taking taylor expansion of n 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 1.735 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.735 * [taylor]: Taking taylor expansion of 1.0 in n 1.735 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.735 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.735 * [taylor]: Taking taylor expansion of k in n 1.735 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.735 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.735 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.735 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.735 * [taylor]: Taking taylor expansion of 0.5 in n 1.735 * [taylor]: Taking taylor expansion of k in n 1.735 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.735 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.735 * [taylor]: Taking taylor expansion of 2.0 in n 1.735 * [taylor]: Taking taylor expansion of (* n PI) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [taylor]: Taking taylor expansion of PI in n 1.735 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.735 * [taylor]: Taking taylor expansion of 0.5 in n 1.735 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.735 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.735 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.735 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [taylor]: Taking taylor expansion of (log PI) in n 1.736 * [taylor]: Taking taylor expansion of PI in n 1.736 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.736 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [taylor]: Taking taylor expansion of (log n) in n 1.736 * [taylor]: Taking taylor expansion of n in n 1.736 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.736 * [taylor]: Taking taylor expansion of 1.0 in n 1.736 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.736 * [taylor]: Taking taylor expansion of 2.0 in n 1.737 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.737 * [taylor]: Taking taylor expansion of 1.0 in n 1.737 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.737 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.737 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.737 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.737 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.737 * [taylor]: Taking taylor expansion of 0.5 in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.737 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.737 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.737 * [taylor]: Taking taylor expansion of 2.0 in n 1.737 * [taylor]: Taking taylor expansion of (* n PI) in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.737 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.738 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.738 * [taylor]: Taking taylor expansion of 0.5 in n 1.738 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.738 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.738 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log PI) in n 1.738 * [taylor]: Taking taylor expansion of PI in n 1.738 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.738 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log n) in n 1.738 * [taylor]: Taking taylor expansion of n in n 1.738 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.738 * [taylor]: Taking taylor expansion of 1.0 in n 1.738 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.738 * [taylor]: Taking taylor expansion of 2.0 in n 1.740 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.740 * [taylor]: Taking taylor expansion of 1.0 in k 1.740 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.740 * [taylor]: Taking taylor expansion of k in k 1.740 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.740 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.741 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.741 * [taylor]: Taking taylor expansion of 0.5 in k 1.741 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.741 * [taylor]: Taking taylor expansion of k in k 1.741 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.741 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.741 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.741 * [taylor]: Taking taylor expansion of 2.0 in k 1.741 * [taylor]: Taking taylor expansion of PI in k 1.741 * [taylor]: Taking taylor expansion of (log n) in k 1.741 * [taylor]: Taking taylor expansion of n in k 1.741 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.741 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.741 * [taylor]: Taking taylor expansion of 0.5 in k 1.741 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.741 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.741 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.741 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.741 * [taylor]: Taking taylor expansion of 1.0 in k 1.741 * [taylor]: Taking taylor expansion of (log PI) in k 1.741 * [taylor]: Taking taylor expansion of PI in k 1.741 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.742 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.742 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.742 * [taylor]: Taking taylor expansion of 1.0 in k 1.742 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.742 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.742 * [taylor]: Taking taylor expansion of 1.0 in k 1.742 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.742 * [taylor]: Taking taylor expansion of (log 1) in k 1.742 * [taylor]: Taking taylor expansion of 1 in k 1.742 * [taylor]: Taking taylor expansion of (log n) in k 1.742 * [taylor]: Taking taylor expansion of n in k 1.742 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.742 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.742 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.742 * [taylor]: Taking taylor expansion of 1.0 in k 1.742 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.742 * [taylor]: Taking taylor expansion of 2.0 in k 1.746 * [taylor]: Taking taylor expansion of 0 in k 1.754 * [taylor]: Taking taylor expansion of 0 in k 1.770 * [taylor]: Taking taylor expansion of 0 in k 1.794 * [approximate]: 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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.794 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.794 * [taylor]: Taking taylor expansion of 1.0 in k 1.794 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.794 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.794 * [taylor]: Taking taylor expansion of k in k 1.794 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.794 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.794 * [taylor]: Taking taylor expansion of 0.5 in k 1.794 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.794 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.794 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.794 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.794 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.794 * [taylor]: Taking taylor expansion of 1.0 in k 1.794 * [taylor]: Taking taylor expansion of (log PI) in k 1.794 * [taylor]: Taking taylor expansion of PI in k 1.794 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.795 * [taylor]: Taking taylor expansion of 1.0 in k 1.795 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.795 * [taylor]: Taking taylor expansion of 2.0 in k 1.795 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.795 * [taylor]: Taking taylor expansion of 1.0 in k 1.795 * [taylor]: Taking taylor expansion of (log n) in k 1.795 * [taylor]: Taking taylor expansion of n in k 1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.796 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.796 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.796 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.796 * [taylor]: Taking taylor expansion of 0.5 in k 1.796 * [taylor]: Taking taylor expansion of k in k 1.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.796 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.796 * [taylor]: Taking taylor expansion of 2.0 in k 1.796 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.796 * [taylor]: Taking taylor expansion of PI in k 1.796 * [taylor]: Taking taylor expansion of n in k 1.796 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.796 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.796 * [taylor]: Taking taylor expansion of k in n 1.796 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.796 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.796 * [taylor]: Taking taylor expansion of 0.5 in n 1.796 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.796 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.796 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.796 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log PI) in n 1.796 * [taylor]: Taking taylor expansion of PI in n 1.796 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.797 * [taylor]: Taking taylor expansion of 1.0 in n 1.797 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.797 * [taylor]: Taking taylor expansion of 2.0 in n 1.797 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.797 * [taylor]: Taking taylor expansion of 1.0 in n 1.797 * [taylor]: Taking taylor expansion of (log n) in n 1.797 * [taylor]: Taking taylor expansion of n in n 1.798 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.798 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.798 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.798 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.798 * [taylor]: Taking taylor expansion of 0.5 in n 1.798 * [taylor]: Taking taylor expansion of k in n 1.798 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.798 * [taylor]: Taking taylor expansion of 2.0 in n 1.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.798 * [taylor]: Taking taylor expansion of PI in n 1.798 * [taylor]: Taking taylor expansion of n in n 1.798 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.798 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.798 * [taylor]: Taking taylor expansion of k in n 1.798 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.798 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.798 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.798 * [taylor]: Taking taylor expansion of 0.5 in n 1.798 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.798 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.798 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * [taylor]: Taking taylor expansion of (log PI) in n 1.798 * [taylor]: Taking taylor expansion of PI in n 1.799 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.799 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.799 * [taylor]: Taking taylor expansion of 1.0 in n 1.799 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.799 * [taylor]: Taking taylor expansion of 2.0 in n 1.799 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.799 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.799 * [taylor]: Taking taylor expansion of 1.0 in n 1.799 * [taylor]: Taking taylor expansion of (log n) in n 1.799 * [taylor]: Taking taylor expansion of n in n 1.800 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.800 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.800 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.800 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.800 * [taylor]: Taking taylor expansion of 0.5 in n 1.800 * [taylor]: Taking taylor expansion of k in n 1.800 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.800 * [taylor]: Taking taylor expansion of 2.0 in n 1.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.800 * [taylor]: Taking taylor expansion of PI in n 1.800 * [taylor]: Taking taylor expansion of n in n 1.801 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.801 * [taylor]: Taking taylor expansion of 1.0 in k 1.801 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.802 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.802 * [taylor]: Taking taylor expansion of k in k 1.802 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.802 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.802 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.802 * [taylor]: Taking taylor expansion of 0.5 in k 1.802 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.802 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.802 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.802 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.802 * [taylor]: Taking taylor expansion of 1.0 in k 1.802 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.802 * [taylor]: Taking taylor expansion of 2.0 in k 1.802 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.802 * [taylor]: Taking taylor expansion of 1.0 in k 1.802 * [taylor]: Taking taylor expansion of (log PI) in k 1.802 * [taylor]: Taking taylor expansion of PI in k 1.802 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.802 * [taylor]: Taking taylor expansion of 1.0 in k 1.802 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.802 * [taylor]: Taking taylor expansion of 1.0 in k 1.802 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.802 * [taylor]: Taking taylor expansion of (log 1) in k 1.802 * [taylor]: Taking taylor expansion of 1 in k 1.802 * [taylor]: Taking taylor expansion of (log n) in k 1.802 * [taylor]: Taking taylor expansion of n in k 1.803 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.803 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.803 * [taylor]: Taking taylor expansion of 0.5 in k 1.803 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.803 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.803 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.803 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.803 * [taylor]: Taking taylor expansion of 2.0 in k 1.803 * [taylor]: Taking taylor expansion of PI in k 1.804 * [taylor]: Taking taylor expansion of (log n) in k 1.804 * [taylor]: Taking taylor expansion of n in k 1.804 * [taylor]: Taking taylor expansion of k in k 1.808 * [taylor]: Taking taylor expansion of 0 in k 1.816 * [taylor]: Taking taylor expansion of 0 in k 1.827 * [taylor]: Taking taylor expansion of 0 in k 1.836 * [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 1.836 * [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 1.836 * [taylor]: Taking taylor expansion of 1.0 in k 1.836 * [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 1.836 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.836 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.836 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.836 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.836 * [taylor]: Taking taylor expansion of -1 in k 1.836 * [taylor]: Taking taylor expansion of k in k 1.836 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.836 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.836 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.836 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.836 * [taylor]: Taking taylor expansion of -0.5 in k 1.836 * [taylor]: Taking taylor expansion of k in k 1.836 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.836 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.836 * [taylor]: Taking taylor expansion of -2.0 in k 1.836 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.836 * [taylor]: Taking taylor expansion of PI in k 1.836 * [taylor]: Taking taylor expansion of n in k 1.837 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.837 * [taylor]: Taking taylor expansion of 0.5 in k 1.837 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.837 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.837 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.837 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.837 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.837 * [taylor]: Taking taylor expansion of 1.0 in k 1.837 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.837 * [taylor]: Taking taylor expansion of -2.0 in k 1.837 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.837 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.837 * [taylor]: Taking taylor expansion of 1.0 in k 1.837 * [taylor]: Taking taylor expansion of (log PI) in k 1.837 * [taylor]: Taking taylor expansion of PI in k 1.837 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.837 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.837 * [taylor]: Taking taylor expansion of 1.0 in k 1.837 * [taylor]: Taking taylor expansion of (log n) in k 1.837 * [taylor]: Taking taylor expansion of n in k 1.838 * [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 1.838 * [taylor]: Taking taylor expansion of 1.0 in n 1.838 * [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 1.838 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.838 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.838 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.838 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.838 * [taylor]: Taking taylor expansion of -1 in n 1.838 * [taylor]: Taking taylor expansion of k in n 1.838 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.838 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.838 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.838 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.839 * [taylor]: Taking taylor expansion of -0.5 in n 1.839 * [taylor]: Taking taylor expansion of k in n 1.839 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.839 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.839 * [taylor]: Taking taylor expansion of -2.0 in n 1.839 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.839 * [taylor]: Taking taylor expansion of PI in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.839 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.839 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.839 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.839 * [taylor]: Taking taylor expansion of 0.5 in n 1.839 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.839 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.839 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.839 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.839 * [taylor]: Taking taylor expansion of 1.0 in n 1.839 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.839 * [taylor]: Taking taylor expansion of -2.0 in n 1.839 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.839 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.839 * [taylor]: Taking taylor expansion of 1.0 in n 1.839 * [taylor]: Taking taylor expansion of (log PI) in n 1.839 * [taylor]: Taking taylor expansion of PI in n 1.839 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.840 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.840 * [taylor]: Taking taylor expansion of 1.0 in n 1.840 * [taylor]: Taking taylor expansion of (log n) in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.840 * [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 1.842 * [taylor]: Taking taylor expansion of 1.0 in n 1.842 * [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 1.842 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.842 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.842 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.842 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.842 * [taylor]: Taking taylor expansion of -1 in n 1.842 * [taylor]: Taking taylor expansion of k in n 1.842 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.842 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.842 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.842 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.842 * [taylor]: Taking taylor expansion of -0.5 in n 1.842 * [taylor]: Taking taylor expansion of k in n 1.842 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.843 * [taylor]: Taking taylor expansion of -2.0 in n 1.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.843 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.843 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.843 * [taylor]: Taking taylor expansion of 0.5 in n 1.843 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.843 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.843 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.843 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.843 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.843 * [taylor]: Taking taylor expansion of 1.0 in n 1.843 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.843 * [taylor]: Taking taylor expansion of -2.0 in n 1.843 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.843 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.843 * [taylor]: Taking taylor expansion of 1.0 in n 1.843 * [taylor]: Taking taylor expansion of (log PI) in n 1.843 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.843 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.843 * [taylor]: Taking taylor expansion of 1.0 in n 1.843 * [taylor]: Taking taylor expansion of (log n) in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.845 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.845 * [taylor]: Taking taylor expansion of 1.0 in k 1.845 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.845 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.845 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.845 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.845 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.845 * [taylor]: Taking taylor expansion of -0.5 in k 1.845 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.845 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.845 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.845 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.845 * [taylor]: Taking taylor expansion of -2.0 in k 1.845 * [taylor]: Taking taylor expansion of PI in k 1.845 * [taylor]: Taking taylor expansion of (log n) in k 1.845 * [taylor]: Taking taylor expansion of n in k 1.846 * [taylor]: Taking taylor expansion of k in k 1.846 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.846 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.846 * [taylor]: Taking taylor expansion of -1 in k 1.846 * [taylor]: Taking taylor expansion of k in k 1.846 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.846 * [taylor]: Taking taylor expansion of 0.5 in k 1.846 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.846 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.846 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.846 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.846 * [taylor]: Taking taylor expansion of -2.0 in k 1.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.846 * [taylor]: Taking taylor expansion of 1.0 in k 1.846 * [taylor]: Taking taylor expansion of (log PI) in k 1.846 * [taylor]: Taking taylor expansion of PI in k 1.847 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.847 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.847 * [taylor]: Taking taylor expansion of 1.0 in k 1.847 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.847 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.847 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.847 * [taylor]: Taking taylor expansion of 1.0 in k 1.847 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.847 * [taylor]: Taking taylor expansion of (log 1) in k 1.847 * [taylor]: Taking taylor expansion of 1 in k 1.847 * [taylor]: Taking taylor expansion of (log n) in k 1.847 * [taylor]: Taking taylor expansion of n in k 1.852 * [taylor]: Taking taylor expansion of 0 in k 1.861 * [taylor]: Taking taylor expansion of 0 in k 1.872 * [taylor]: Taking taylor expansion of 0 in k 1.873 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.873 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.873 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (* n PI) in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.873 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (* n PI) in n 1.873 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.874 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.874 * [taylor]: Taking taylor expansion of 2.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.874 * [taylor]: Taking taylor expansion of 2.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.875 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.875 * [taylor]: Taking taylor expansion of -2.0 in n 1.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.875 * [taylor]: Taking taylor expansion of PI in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.875 * [taylor]: Taking taylor expansion of -2.0 in n 1.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.875 * [taylor]: Taking taylor expansion of PI in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.876 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 1.876 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* n PI) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (* n PI) in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.877 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.877 * [taylor]: Taking taylor expansion of 2.0 in n 1.877 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.877 * [taylor]: Taking taylor expansion of PI in n 1.877 * [taylor]: Taking taylor expansion of n in n 1.878 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of -2.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.878 * [taylor]: Taking taylor expansion of -2.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.878 * [taylor]: Taking taylor expansion of PI in n 1.878 * [taylor]: Taking taylor expansion of n in n 1.879 * * * [progress]: simplifying candidates 1.884 * [simplify]: Simplifying using # : (+ (/ (/ 1.0 2.0) 2) (/ (/ 1.0 2.0) 2)) (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ 1.0 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ 1.0 2.0) 2))) (+ (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (log (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (log (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (exp (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (* (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2))) (* (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ 1.0 2.0) 2))) (* (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* 1 1) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ 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2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (- (log (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))))) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (exp (/ (* 1.0 (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (* (cbrt (/ (* 1.0 (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (/ (pow (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 3) (pow 1.0 3))) (sqrt (/ (* 1.0 (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (neg 1.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (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) (* 2 (/ (/ 1.0 2.0) 2)))) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (sqrt k))) (* 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 (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) (exp (* 1.0 (+ (log 1) (log n))))) 0.5) (pow (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 1.0) (/ 1 (exp (* 1.0 (+ (log 1) (log (/ 1 n))))))) 0.5) (pow (* (/ 1 (exp (* 1.0 (+ (log 1) (log (/ -1 n)))))) (pow (* (pow -2.0 1.0) (pow PI 1.0)) 1.0)) 0.5) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.022 * * * [progress]: adding candidates to table 2.227 * * [progress]: iteration 4 / 4 2.228 * * * [progress]: picking best candidate 2.263 * * * * [pick]: Picked # 2.264 * * * [progress]: localizing error 2.285 * * * [progress]: generating rewritten candidates 2.285 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.301 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.306 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.312 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.329 * * * [progress]: generating series expansions 2.329 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.330 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 2.330 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 2.330 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.330 * [taylor]: Taking taylor expansion of k in k 2.330 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.330 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.330 * [taylor]: Taking taylor expansion of 0.5 in k 2.330 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.330 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.330 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.330 * [taylor]: Taking taylor expansion of 1.0 in k 2.330 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.330 * [taylor]: Taking taylor expansion of 2.0 in k 2.330 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.330 * [taylor]: Taking taylor expansion of 1.0 in k 2.330 * [taylor]: Taking taylor expansion of (log n) in k 2.330 * [taylor]: Taking taylor expansion of n in k 2.330 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.330 * [taylor]: Taking taylor expansion of 1.0 in k 2.330 * [taylor]: Taking taylor expansion of (log PI) in k 2.330 * [taylor]: Taking taylor expansion of PI in k 2.331 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.331 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.331 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.331 * [taylor]: Taking taylor expansion of 1.0 in k 2.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.331 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.331 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.331 * [taylor]: Taking taylor expansion of 0.5 in k 2.331 * [taylor]: Taking taylor expansion of k in k 2.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.331 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.331 * [taylor]: Taking taylor expansion of 2.0 in k 2.331 * [taylor]: Taking taylor expansion of (* n PI) in k 2.331 * [taylor]: Taking taylor expansion of n in k 2.331 * [taylor]: Taking taylor expansion of PI in k 2.332 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.332 * [taylor]: Taking taylor expansion of k in n 2.332 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.332 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.332 * [taylor]: Taking taylor expansion of 0.5 in n 2.332 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.332 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.332 * [taylor]: Taking taylor expansion of 1.0 in n 2.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.332 * [taylor]: Taking taylor expansion of 2.0 in n 2.332 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.332 * [taylor]: Taking taylor expansion of 1.0 in n 2.332 * [taylor]: Taking taylor expansion of (log n) in n 2.332 * [taylor]: Taking taylor expansion of n in n 2.333 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.333 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.333 * [taylor]: Taking taylor expansion of 1.0 in n 2.333 * [taylor]: Taking taylor expansion of (log PI) in n 2.333 * [taylor]: Taking taylor expansion of PI in n 2.333 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.334 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.334 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.334 * [taylor]: Taking taylor expansion of 1.0 in n 2.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.334 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.334 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.334 * [taylor]: Taking taylor expansion of 0.5 in n 2.334 * [taylor]: Taking taylor expansion of k in n 2.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.334 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.334 * [taylor]: Taking taylor expansion of 2.0 in n 2.334 * [taylor]: Taking taylor expansion of (* n PI) in n 2.334 * [taylor]: Taking taylor expansion of n in n 2.334 * [taylor]: Taking taylor expansion of PI in n 2.334 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.334 * [taylor]: Taking taylor expansion of k in n 2.334 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.334 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.334 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.334 * [taylor]: Taking taylor expansion of 0.5 in n 2.334 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.334 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.335 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.335 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.335 * [taylor]: Taking taylor expansion of 1.0 in n 2.335 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.335 * [taylor]: Taking taylor expansion of 2.0 in n 2.335 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.335 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.335 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.335 * [taylor]: Taking taylor expansion of 1.0 in n 2.335 * [taylor]: Taking taylor expansion of (log n) in n 2.335 * [taylor]: Taking taylor expansion of n in n 2.335 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.335 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.335 * [taylor]: Taking taylor expansion of 1.0 in n 2.335 * [taylor]: Taking taylor expansion of (log PI) in n 2.335 * [taylor]: Taking taylor expansion of PI in n 2.336 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.336 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.336 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.336 * [taylor]: Taking taylor expansion of 1.0 in n 2.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.336 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.336 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.336 * [taylor]: Taking taylor expansion of 0.5 in n 2.336 * [taylor]: Taking taylor expansion of k in n 2.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.336 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.336 * [taylor]: Taking taylor expansion of 2.0 in n 2.336 * [taylor]: Taking taylor expansion of (* n PI) in n 2.336 * [taylor]: Taking taylor expansion of n in n 2.336 * [taylor]: Taking taylor expansion of PI in n 2.337 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 2.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.337 * [taylor]: Taking taylor expansion of k in k 2.337 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 2.337 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.337 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.337 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.337 * [taylor]: Taking taylor expansion of 1.0 in k 2.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.337 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.337 * [taylor]: Taking taylor expansion of 0.5 in k 2.337 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.338 * [taylor]: Taking taylor expansion of k in k 2.338 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.338 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.338 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.338 * [taylor]: Taking taylor expansion of 2.0 in k 2.338 * [taylor]: Taking taylor expansion of PI in k 2.338 * [taylor]: Taking taylor expansion of (log n) in k 2.338 * [taylor]: Taking taylor expansion of n in k 2.338 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 2.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.338 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.338 * [taylor]: Taking taylor expansion of 0.5 in k 2.338 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.338 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.338 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.338 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.338 * [taylor]: Taking taylor expansion of 1.0 in k 2.338 * [taylor]: Taking taylor expansion of (log PI) in k 2.338 * [taylor]: Taking taylor expansion of PI in k 2.338 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.339 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.339 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.339 * [taylor]: Taking taylor expansion of 1.0 in k 2.339 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.339 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.339 * [taylor]: Taking taylor expansion of 1.0 in k 2.339 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.339 * [taylor]: Taking taylor expansion of (log 1) in k 2.339 * [taylor]: Taking taylor expansion of 1 in k 2.339 * [taylor]: Taking taylor expansion of (log n) in k 2.339 * [taylor]: Taking taylor expansion of n in k 2.339 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.339 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.339 * [taylor]: Taking taylor expansion of 1.0 in k 2.339 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.339 * [taylor]: Taking taylor expansion of 2.0 in k 2.343 * [taylor]: Taking taylor expansion of 0 in k 2.351 * [taylor]: Taking taylor expansion of 0 in k 2.367 * [taylor]: Taking taylor expansion of 0 in k 2.391 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 2.391 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.391 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.391 * [taylor]: Taking taylor expansion of k in k 2.391 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.391 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.391 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.391 * [taylor]: Taking taylor expansion of 0.5 in k 2.391 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.392 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.392 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.392 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.392 * [taylor]: Taking taylor expansion of 1.0 in k 2.392 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.392 * [taylor]: Taking taylor expansion of 2.0 in k 2.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.392 * [taylor]: Taking taylor expansion of 1.0 in k 2.392 * [taylor]: Taking taylor expansion of (log PI) in k 2.392 * [taylor]: Taking taylor expansion of PI in k 2.392 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.392 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.392 * [taylor]: Taking taylor expansion of 1.0 in k 2.392 * [taylor]: Taking taylor expansion of (log n) in k 2.392 * [taylor]: Taking taylor expansion of n in k 2.393 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.393 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.393 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.393 * [taylor]: Taking taylor expansion of 1.0 in k 2.393 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.393 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.393 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.393 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.393 * [taylor]: Taking taylor expansion of 0.5 in k 2.393 * [taylor]: Taking taylor expansion of k in k 2.393 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.393 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.393 * [taylor]: Taking taylor expansion of 2.0 in k 2.393 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.393 * [taylor]: Taking taylor expansion of PI in k 2.393 * [taylor]: Taking taylor expansion of n in k 2.393 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.393 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.393 * [taylor]: Taking taylor expansion of k in n 2.394 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.394 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.394 * [taylor]: Taking taylor expansion of 0.5 in n 2.394 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.394 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.394 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.394 * [taylor]: Taking taylor expansion of 1.0 in n 2.394 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.394 * [taylor]: Taking taylor expansion of 2.0 in n 2.394 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.394 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.394 * [taylor]: Taking taylor expansion of 1.0 in n 2.394 * [taylor]: Taking taylor expansion of (log PI) in n 2.394 * [taylor]: Taking taylor expansion of PI in n 2.394 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.394 * [taylor]: Taking taylor expansion of 1.0 in n 2.394 * [taylor]: Taking taylor expansion of (log n) in n 2.394 * [taylor]: Taking taylor expansion of n in n 2.398 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.398 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.398 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.398 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.398 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.398 * [taylor]: Taking taylor expansion of 0.5 in n 2.398 * [taylor]: Taking taylor expansion of k in n 2.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.398 * [taylor]: Taking taylor expansion of 2.0 in n 2.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.398 * [taylor]: Taking taylor expansion of PI in n 2.398 * [taylor]: Taking taylor expansion of n in n 2.399 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.399 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.399 * [taylor]: Taking taylor expansion of k in n 2.399 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.399 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.399 * [taylor]: Taking taylor expansion of 0.5 in n 2.399 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.399 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.399 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.399 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.399 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.399 * [taylor]: Taking taylor expansion of 2.0 in n 2.399 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.399 * [taylor]: Taking taylor expansion of (log PI) in n 2.399 * [taylor]: Taking taylor expansion of PI in n 2.399 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.399 * [taylor]: Taking taylor expansion of (log n) in n 2.399 * [taylor]: Taking taylor expansion of n in n 2.400 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.400 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.400 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.400 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.401 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.401 * [taylor]: Taking taylor expansion of 0.5 in n 2.401 * [taylor]: Taking taylor expansion of k in n 2.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.401 * [taylor]: Taking taylor expansion of 2.0 in n 2.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.401 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.402 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 2.402 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.402 * [taylor]: Taking taylor expansion of k in k 2.402 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.402 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.402 * [taylor]: Taking taylor expansion of 0.5 in k 2.402 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.402 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.402 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.402 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.402 * [taylor]: Taking taylor expansion of 1.0 in k 2.402 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.402 * [taylor]: Taking taylor expansion of 2.0 in k 2.402 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.402 * [taylor]: Taking taylor expansion of 1.0 in k 2.402 * [taylor]: Taking taylor expansion of (log PI) in k 2.402 * [taylor]: Taking taylor expansion of PI in k 2.402 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.402 * [taylor]: Taking taylor expansion of 1.0 in k 2.402 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.402 * [taylor]: Taking taylor expansion of 1.0 in k 2.402 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.402 * [taylor]: Taking taylor expansion of (log 1) in k 2.403 * [taylor]: Taking taylor expansion of 1 in k 2.403 * [taylor]: Taking taylor expansion of (log n) in k 2.403 * [taylor]: Taking taylor expansion of n in k 2.404 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.404 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.404 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.404 * [taylor]: Taking taylor expansion of 1.0 in k 2.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.404 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.404 * [taylor]: Taking taylor expansion of 0.5 in k 2.404 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.404 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.404 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.404 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.404 * [taylor]: Taking taylor expansion of 2.0 in k 2.404 * [taylor]: Taking taylor expansion of PI in k 2.404 * [taylor]: Taking taylor expansion of (log n) in k 2.404 * [taylor]: Taking taylor expansion of n in k 2.404 * [taylor]: Taking taylor expansion of k in k 2.408 * [taylor]: Taking taylor expansion of 0 in k 2.416 * [taylor]: Taking taylor expansion of 0 in k 2.426 * [taylor]: Taking taylor expansion of 0 in k 2.435 * [approximate]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 2.435 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.435 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.435 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.436 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.436 * [taylor]: Taking taylor expansion of 1.0 in k 2.436 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.436 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.436 * [taylor]: Taking taylor expansion of -1 in k 2.436 * [taylor]: Taking taylor expansion of k in k 2.436 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.436 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.436 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.436 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.436 * [taylor]: Taking taylor expansion of -0.5 in k 2.436 * [taylor]: Taking taylor expansion of k in k 2.436 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.436 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.436 * [taylor]: Taking taylor expansion of -2.0 in k 2.436 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.436 * [taylor]: Taking taylor expansion of PI in k 2.436 * [taylor]: Taking taylor expansion of n in k 2.436 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.436 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.436 * [taylor]: Taking taylor expansion of 0.5 in k 2.436 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.436 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.436 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.437 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.437 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.437 * [taylor]: Taking taylor expansion of 1.0 in k 2.437 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.437 * [taylor]: Taking taylor expansion of -2.0 in k 2.437 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.437 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.437 * [taylor]: Taking taylor expansion of 1.0 in k 2.437 * [taylor]: Taking taylor expansion of (log PI) in k 2.437 * [taylor]: Taking taylor expansion of PI in k 2.437 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.437 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.437 * [taylor]: Taking taylor expansion of 1.0 in k 2.437 * [taylor]: Taking taylor expansion of (log n) in k 2.437 * [taylor]: Taking taylor expansion of n in k 2.438 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.438 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.438 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.438 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.438 * [taylor]: Taking taylor expansion of 1.0 in n 2.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.438 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.438 * [taylor]: Taking taylor expansion of -1 in n 2.438 * [taylor]: Taking taylor expansion of k in n 2.438 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.438 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.438 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.438 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.438 * [taylor]: Taking taylor expansion of -0.5 in n 2.438 * [taylor]: Taking taylor expansion of k in n 2.438 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.438 * [taylor]: Taking taylor expansion of -2.0 in n 2.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.438 * [taylor]: Taking taylor expansion of PI in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.439 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.439 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.439 * [taylor]: Taking taylor expansion of 0.5 in n 2.439 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.439 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.439 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.439 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.439 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.439 * [taylor]: Taking taylor expansion of 1.0 in n 2.439 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.439 * [taylor]: Taking taylor expansion of -2.0 in n 2.439 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.439 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.439 * [taylor]: Taking taylor expansion of 1.0 in n 2.439 * [taylor]: Taking taylor expansion of (log PI) in n 2.439 * [taylor]: Taking taylor expansion of PI in n 2.439 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.439 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.439 * [taylor]: Taking taylor expansion of 1.0 in n 2.439 * [taylor]: Taking taylor expansion of (log n) in n 2.439 * [taylor]: Taking taylor expansion of n in n 2.440 * [taylor]: Taking taylor expansion of (* (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.440 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.440 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.440 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.440 * [taylor]: Taking taylor expansion of 1.0 in n 2.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.440 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.440 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.440 * [taylor]: Taking taylor expansion of -1 in n 2.440 * [taylor]: Taking taylor expansion of k in n 2.441 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.441 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.441 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.441 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.441 * [taylor]: Taking taylor expansion of -0.5 in n 2.441 * [taylor]: Taking taylor expansion of k in n 2.441 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.441 * [taylor]: Taking taylor expansion of -2.0 in n 2.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.441 * [taylor]: Taking taylor expansion of PI in n 2.441 * [taylor]: Taking taylor expansion of n in n 2.441 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.441 * [taylor]: Taking taylor expansion of 0.5 in n 2.441 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.441 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.441 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.441 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.441 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.441 * [taylor]: Taking taylor expansion of 1.0 in n 2.441 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.441 * [taylor]: Taking taylor expansion of -2.0 in n 2.441 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [taylor]: Taking taylor expansion of (log PI) in n 2.442 * [taylor]: Taking taylor expansion of PI in n 2.442 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [taylor]: Taking taylor expansion of (log n) in n 2.442 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 2.443 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.443 * [taylor]: Taking taylor expansion of 0.5 in k 2.443 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.443 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.443 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.443 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.443 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.443 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.443 * [taylor]: Taking taylor expansion of -2.0 in k 2.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.443 * [taylor]: Taking taylor expansion of 1.0 in k 2.443 * [taylor]: Taking taylor expansion of (log PI) in k 2.443 * [taylor]: Taking taylor expansion of PI in k 2.444 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.444 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.444 * [taylor]: Taking taylor expansion of 1.0 in k 2.444 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.444 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.444 * [taylor]: Taking taylor expansion of 1.0 in k 2.444 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.444 * [taylor]: Taking taylor expansion of (log 1) in k 2.444 * [taylor]: Taking taylor expansion of 1 in k 2.444 * [taylor]: Taking taylor expansion of (log n) in k 2.444 * [taylor]: Taking taylor expansion of n in k 2.445 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1.0) 2) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.445 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.445 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.445 * [taylor]: Taking taylor expansion of 1.0 in k 2.445 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.445 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.445 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.445 * [taylor]: Taking taylor expansion of -0.5 in k 2.445 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.445 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.445 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.445 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.445 * [taylor]: Taking taylor expansion of -2.0 in k 2.445 * [taylor]: Taking taylor expansion of PI in k 2.445 * [taylor]: Taking taylor expansion of (log n) in k 2.445 * [taylor]: Taking taylor expansion of n in k 2.445 * [taylor]: Taking taylor expansion of k in k 2.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.445 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.445 * [taylor]: Taking taylor expansion of -1 in k 2.445 * [taylor]: Taking taylor expansion of k in k 2.450 * [taylor]: Taking taylor expansion of 0 in k 2.458 * [taylor]: Taking taylor expansion of 0 in k 2.468 * [taylor]: Taking taylor expansion of 0 in k 2.469 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.470 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in (n k) around 0 2.470 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in k 2.470 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.470 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.470 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.470 * [taylor]: Taking taylor expansion of 1/4 in k 2.470 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.470 * [taylor]: Taking taylor expansion of k in k 2.470 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in k 2.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.470 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.470 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.470 * [taylor]: Taking taylor expansion of 0.5 in k 2.470 * [taylor]: Taking taylor expansion of k in k 2.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.470 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.470 * [taylor]: Taking taylor expansion of 2.0 in k 2.470 * [taylor]: Taking taylor expansion of (* n PI) in k 2.470 * [taylor]: Taking taylor expansion of n in k 2.470 * [taylor]: Taking taylor expansion of PI in k 2.471 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in k 2.471 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in k 2.471 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.471 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.471 * [taylor]: Taking taylor expansion of 0.25 in k 2.471 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.471 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.471 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.471 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.471 * [taylor]: Taking taylor expansion of 1.0 in k 2.471 * [taylor]: Taking taylor expansion of (log PI) in k 2.471 * [taylor]: Taking taylor expansion of PI in k 2.471 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.471 * [taylor]: Taking taylor expansion of 1.0 in k 2.471 * [taylor]: Taking taylor expansion of (log n) in k 2.471 * [taylor]: Taking taylor expansion of n in k 2.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.471 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.471 * [taylor]: Taking taylor expansion of 1.0 in k 2.471 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.471 * [taylor]: Taking taylor expansion of 2.0 in k 2.472 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.472 * [taylor]: Taking taylor expansion of 1.0 in k 2.472 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in n 2.472 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 2.472 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 2.472 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 2.472 * [taylor]: Taking taylor expansion of 1/4 in n 2.472 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 2.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.472 * [taylor]: Taking taylor expansion of k in n 2.472 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in n 2.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.473 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.473 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.473 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.473 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.473 * [taylor]: Taking taylor expansion of 0.5 in n 2.473 * [taylor]: Taking taylor expansion of k in n 2.473 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.473 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.473 * [taylor]: Taking taylor expansion of 2.0 in n 2.473 * [taylor]: Taking taylor expansion of (* n PI) in n 2.473 * [taylor]: Taking taylor expansion of n in n 2.473 * [taylor]: Taking taylor expansion of PI in n 2.474 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in n 2.474 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 2.474 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.474 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.474 * [taylor]: Taking taylor expansion of 0.25 in n 2.474 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.474 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.474 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.474 * [taylor]: Taking taylor expansion of 1.0 in n 2.474 * [taylor]: Taking taylor expansion of (log PI) in n 2.474 * [taylor]: Taking taylor expansion of PI in n 2.474 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.474 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.474 * [taylor]: Taking taylor expansion of 1.0 in n 2.474 * [taylor]: Taking taylor expansion of (log n) in n 2.474 * [taylor]: Taking taylor expansion of n in n 2.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.474 * [taylor]: Taking taylor expansion of 1.0 in n 2.474 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.474 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.475 * [taylor]: Taking taylor expansion of 1.0 in n 2.475 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in n 2.475 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 2.475 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 2.476 * [taylor]: Taking taylor expansion of 1/4 in n 2.476 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 2.476 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.476 * [taylor]: Taking taylor expansion of k in n 2.476 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in n 2.476 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.476 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.476 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.476 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.476 * [taylor]: Taking taylor expansion of 0.5 in n 2.476 * [taylor]: Taking taylor expansion of k in n 2.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.476 * [taylor]: Taking taylor expansion of 2.0 in n 2.476 * [taylor]: Taking taylor expansion of (* n PI) in n 2.476 * [taylor]: Taking taylor expansion of n in n 2.476 * [taylor]: Taking taylor expansion of PI in n 2.477 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in n 2.477 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 2.477 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.477 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.477 * [taylor]: Taking taylor expansion of 0.25 in n 2.477 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.477 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.477 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.477 * [taylor]: Taking taylor expansion of 1.0 in n 2.477 * [taylor]: Taking taylor expansion of (log PI) in n 2.477 * [taylor]: Taking taylor expansion of PI in n 2.477 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) 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 2.478 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.478 * [taylor]: Taking taylor expansion of 1.0 in n 2.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.478 * [taylor]: Taking taylor expansion of 2.0 in n 2.479 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.479 * [taylor]: Taking taylor expansion of 1.0 in n 2.480 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) (* (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in k 2.480 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.480 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.480 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.480 * [taylor]: Taking taylor expansion of 1/4 in k 2.480 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.480 * [taylor]: Taking taylor expansion of k in k 2.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) (* (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in k 2.480 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 2.480 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.480 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.480 * [taylor]: Taking taylor expansion of 0.5 in k 2.480 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.480 * [taylor]: Taking taylor expansion of k in k 2.480 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.480 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.480 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.480 * [taylor]: Taking taylor expansion of 2.0 in k 2.480 * [taylor]: Taking taylor expansion of PI in k 2.480 * [taylor]: Taking taylor expansion of (log n) in k 2.480 * [taylor]: Taking taylor expansion of n in k 2.481 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in k 2.481 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) in k 2.481 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.481 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.481 * [taylor]: Taking taylor expansion of 0.25 in k 2.481 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.481 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.481 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.481 * [taylor]: Taking taylor expansion of 1.0 in k 2.481 * [taylor]: Taking taylor expansion of (log PI) in k 2.481 * [taylor]: Taking taylor expansion of PI in k 2.481 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.481 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.481 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.481 * [taylor]: Taking taylor expansion of 1.0 in k 2.481 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.481 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.481 * [taylor]: Taking taylor expansion of 1.0 in k 2.481 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.481 * [taylor]: Taking taylor expansion of (log 1) in k 2.481 * [taylor]: Taking taylor expansion of 1 in k 2.481 * [taylor]: Taking taylor expansion of (log n) in k 2.481 * [taylor]: Taking taylor expansion of n in k 2.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.482 * [taylor]: Taking taylor expansion of 1.0 in k 2.482 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.482 * [taylor]: Taking taylor expansion of 2.0 in k 2.483 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.483 * [taylor]: Taking taylor expansion of 1.0 in k 2.486 * [taylor]: Taking taylor expansion of 0 in k 2.497 * [taylor]: Taking taylor expansion of 0 in k 2.511 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in (n k) around 0 2.511 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in k 2.511 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.511 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.511 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.511 * [taylor]: Taking taylor expansion of 1/4 in k 2.511 * [taylor]: Taking taylor expansion of (log k) in k 2.511 * [taylor]: Taking taylor expansion of k in k 2.511 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.511 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 2.511 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.511 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.511 * [taylor]: Taking taylor expansion of 0.25 in k 2.512 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.512 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.512 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.512 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.512 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.512 * [taylor]: Taking taylor expansion of 1.0 in k 2.512 * [taylor]: Taking taylor expansion of (log PI) in k 2.512 * [taylor]: Taking taylor expansion of PI in k 2.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.512 * [taylor]: Taking taylor expansion of 1.0 in k 2.512 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.512 * [taylor]: Taking taylor expansion of 2.0 in k 2.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.512 * [taylor]: Taking taylor expansion of 1.0 in k 2.512 * [taylor]: Taking taylor expansion of (log n) in k 2.512 * [taylor]: Taking taylor expansion of n in k 2.513 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.513 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.513 * [taylor]: Taking taylor expansion of 1.0 in k 2.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.513 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.513 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.513 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.513 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.513 * [taylor]: Taking taylor expansion of 0.5 in k 2.513 * [taylor]: Taking taylor expansion of k in k 2.513 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.513 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.513 * [taylor]: Taking taylor expansion of 2.0 in k 2.513 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.513 * [taylor]: Taking taylor expansion of PI in k 2.513 * [taylor]: Taking taylor expansion of n in k 2.514 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in n 2.514 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 2.514 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 2.514 * [taylor]: Taking taylor expansion of 1/4 in n 2.514 * [taylor]: Taking taylor expansion of (log k) in n 2.514 * [taylor]: Taking taylor expansion of k in n 2.514 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.514 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.514 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.514 * [taylor]: Taking taylor expansion of 0.25 in n 2.514 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.514 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.514 * [taylor]: Taking taylor expansion of 1.0 in n 2.514 * [taylor]: Taking taylor expansion of (log PI) in n 2.514 * [taylor]: Taking taylor expansion of PI in n 2.514 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.514 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.514 * [taylor]: Taking taylor expansion of 1.0 in n 2.514 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.514 * [taylor]: Taking taylor expansion of 2.0 in n 2.514 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.514 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.514 * [taylor]: Taking taylor expansion of 1.0 in n 2.514 * [taylor]: Taking taylor expansion of (log n) in n 2.514 * [taylor]: Taking taylor expansion of n in n 2.515 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.515 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.515 * [taylor]: Taking taylor expansion of 1.0 in n 2.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.515 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.515 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.515 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.515 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.515 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.515 * [taylor]: Taking taylor expansion of 0.5 in n 2.516 * [taylor]: Taking taylor expansion of k in n 2.516 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.516 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.516 * [taylor]: Taking taylor expansion of 2.0 in n 2.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.516 * [taylor]: Taking taylor expansion of PI in n 2.516 * [taylor]: Taking taylor expansion of n in n 2.517 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in n 2.517 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 2.517 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 2.517 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 2.517 * [taylor]: Taking taylor expansion of 1/4 in n 2.517 * [taylor]: Taking taylor expansion of (log k) in n 2.517 * [taylor]: Taking taylor expansion of k in n 2.517 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.517 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 2.517 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.517 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.517 * [taylor]: Taking taylor expansion of 0.25 in n 2.517 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.517 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.517 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.517 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.517 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.517 * [taylor]: Taking taylor expansion of 1.0 in n 2.517 * [taylor]: Taking taylor expansion of (log PI) in n 2.517 * [taylor]: Taking taylor expansion of PI in n 2.517 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.517 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.517 * [taylor]: Taking taylor expansion of 1.0 in n 2.517 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.517 * [taylor]: Taking taylor expansion of 2.0 in n 2.517 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.517 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.517 * [taylor]: Taking taylor expansion of 1.0 in n 2.517 * [taylor]: Taking taylor expansion of (log n) in n 2.517 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.518 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.518 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.518 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.518 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.519 * [taylor]: Taking taylor expansion of 0.5 in n 2.519 * [taylor]: Taking taylor expansion of k in n 2.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.519 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.519 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.519 * [taylor]: Taking taylor expansion of PI in n 2.519 * [taylor]: Taking taylor expansion of n in n 2.521 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (* (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) (sqrt 1.0)))) in k 2.521 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.521 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.521 * [taylor]: Taking taylor expansion of 1/4 in k 2.521 * [taylor]: Taking taylor expansion of (log k) in k 2.521 * [taylor]: Taking taylor expansion of k in k 2.521 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (* (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) (sqrt 1.0))) in k 2.521 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.521 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.521 * [taylor]: Taking taylor expansion of 0.25 in k 2.521 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.521 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.521 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.521 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.521 * [taylor]: Taking taylor expansion of 1.0 in k 2.521 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.521 * [taylor]: Taking taylor expansion of 2.0 in k 2.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.521 * [taylor]: Taking taylor expansion of 1.0 in k 2.521 * [taylor]: Taking taylor expansion of (log PI) in k 2.521 * [taylor]: Taking taylor expansion of PI in k 2.521 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.521 * [taylor]: Taking taylor expansion of 1.0 in k 2.521 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.521 * [taylor]: Taking taylor expansion of 1.0 in k 2.521 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.521 * [taylor]: Taking taylor expansion of (log 1) in k 2.521 * [taylor]: Taking taylor expansion of 1 in k 2.521 * [taylor]: Taking taylor expansion of (log n) in k 2.521 * [taylor]: Taking taylor expansion of n in k 2.523 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) (sqrt 1.0)) in k 2.523 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.523 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.523 * [taylor]: Taking taylor expansion of 0.5 in k 2.523 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.523 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.523 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.523 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.523 * [taylor]: Taking taylor expansion of 2.0 in k 2.523 * [taylor]: Taking taylor expansion of PI in k 2.523 * [taylor]: Taking taylor expansion of (log n) in k 2.523 * [taylor]: Taking taylor expansion of n in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.523 * [taylor]: Taking taylor expansion of 1.0 in k 2.527 * [taylor]: Taking taylor expansion of 0 in k 2.535 * [taylor]: Taking taylor expansion of 0 in k 2.546 * [taylor]: Taking taylor expansion of 0 in k 2.547 * [approximate]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in (n k) around 0 2.547 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in k 2.547 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 2.547 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.547 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.547 * [taylor]: Taking taylor expansion of 0.25 in k 2.547 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.547 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.547 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.547 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.547 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.547 * [taylor]: Taking taylor expansion of 1.0 in k 2.547 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.547 * [taylor]: Taking taylor expansion of -2.0 in k 2.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.547 * [taylor]: Taking taylor expansion of 1.0 in k 2.547 * [taylor]: Taking taylor expansion of (log PI) in k 2.547 * [taylor]: Taking taylor expansion of PI in k 2.547 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.547 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.547 * [taylor]: Taking taylor expansion of 1.0 in k 2.547 * [taylor]: Taking taylor expansion of (log n) in k 2.547 * [taylor]: Taking taylor expansion of n in k 2.548 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0)) in k 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 2.548 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.548 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.548 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.548 * [taylor]: Taking taylor expansion of -1 in k 2.548 * [taylor]: Taking taylor expansion of k in k 2.548 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.548 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.548 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.548 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.548 * [taylor]: Taking taylor expansion of -0.5 in k 2.549 * [taylor]: Taking taylor expansion of k in k 2.549 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.549 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.549 * [taylor]: Taking taylor expansion of -2.0 in k 2.549 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.549 * [taylor]: Taking taylor expansion of PI in k 2.549 * [taylor]: Taking taylor expansion of n in k 2.550 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.550 * [taylor]: Taking taylor expansion of 1.0 in k 2.550 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in n 2.550 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 2.550 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.550 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.550 * [taylor]: Taking taylor expansion of 0.25 in n 2.550 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.550 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.550 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.550 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.550 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.550 * [taylor]: Taking taylor expansion of 1.0 in n 2.550 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.550 * [taylor]: Taking taylor expansion of -2.0 in n 2.550 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.550 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.550 * [taylor]: Taking taylor expansion of 1.0 in n 2.550 * [taylor]: Taking taylor expansion of (log PI) in n 2.550 * [taylor]: Taking taylor expansion of PI in n 2.550 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.550 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.551 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.551 * [taylor]: Taking taylor expansion of 1.0 in n 2.551 * [taylor]: Taking taylor expansion of (log n) in n 2.551 * [taylor]: Taking taylor expansion of n in n 2.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0)) in n 2.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.551 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.552 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.552 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.552 * [taylor]: Taking taylor expansion of -1 in n 2.552 * [taylor]: Taking taylor expansion of k in n 2.552 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.552 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.552 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.552 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.552 * [taylor]: Taking taylor expansion of -0.5 in n 2.552 * [taylor]: Taking taylor expansion of k in n 2.552 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.552 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.552 * [taylor]: Taking taylor expansion of -2.0 in n 2.552 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.552 * [taylor]: Taking taylor expansion of PI in n 2.552 * [taylor]: Taking taylor expansion of n in n 2.553 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.553 * [taylor]: Taking taylor expansion of 1.0 in n 2.553 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in n 2.553 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 2.553 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.553 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.553 * [taylor]: Taking taylor expansion of 0.25 in n 2.553 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.553 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.553 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.554 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.554 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.554 * [taylor]: Taking taylor expansion of 1.0 in n 2.554 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.554 * [taylor]: Taking taylor expansion of -2.0 in n 2.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.554 * [taylor]: Taking taylor expansion of 1.0 in n 2.554 * [taylor]: Taking taylor expansion of (log PI) in n 2.554 * [taylor]: Taking taylor expansion of PI in n 2.554 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.554 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.554 * [taylor]: Taking taylor expansion of 1.0 in n 2.554 * [taylor]: Taking taylor expansion of (log n) in n 2.554 * [taylor]: Taking taylor expansion of n in n 2.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0)) in n 2.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.555 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.555 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.555 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.555 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.555 * [taylor]: Taking taylor expansion of -1 in n 2.555 * [taylor]: Taking taylor expansion of k in n 2.555 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.555 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.555 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.555 * [taylor]: Taking taylor expansion of -0.5 in n 2.555 * [taylor]: Taking taylor expansion of k in n 2.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.555 * [taylor]: Taking taylor expansion of -2.0 in n 2.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.555 * [taylor]: Taking taylor expansion of n in n 2.557 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ 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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (sqrt 1.0))) in k 2.557 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 2.557 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.557 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.558 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.558 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.558 * [taylor]: Taking taylor expansion of -0.5 in k 2.558 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.558 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.558 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.558 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.558 * [taylor]: Taking taylor expansion of -2.0 in k 2.558 * [taylor]: Taking taylor expansion of PI in k 2.558 * [taylor]: Taking taylor expansion of (log n) in k 2.558 * [taylor]: Taking taylor expansion of n in k 2.558 * [taylor]: Taking taylor expansion of k in k 2.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.558 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.558 * [taylor]: Taking taylor expansion of -1 in k 2.558 * [taylor]: Taking taylor expansion of k in k 2.559 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (sqrt 1.0)) in k 2.559 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) in k 2.559 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.559 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.559 * [taylor]: Taking taylor expansion of 0.25 in k 2.559 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.559 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.559 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.559 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.559 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.559 * [taylor]: Taking taylor expansion of 1.0 in k 2.559 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.559 * [taylor]: Taking taylor expansion of -2.0 in k 2.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.560 * [taylor]: Taking taylor expansion of 1.0 in k 2.560 * [taylor]: Taking taylor expansion of (log PI) in k 2.560 * [taylor]: Taking taylor expansion of PI in k 2.560 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.560 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.560 * [taylor]: Taking taylor expansion of 1.0 in k 2.560 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.560 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.560 * [taylor]: Taking taylor expansion of 1.0 in k 2.560 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.560 * [taylor]: Taking taylor expansion of (log 1) in k 2.560 * [taylor]: Taking taylor expansion of 1 in k 2.560 * [taylor]: Taking taylor expansion of (log n) in k 2.560 * [taylor]: Taking taylor expansion of n in k 2.561 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.561 * [taylor]: Taking taylor expansion of 1.0 in k 2.564 * [taylor]: Taking taylor expansion of 0 in k 2.572 * [taylor]: Taking taylor expansion of 0 in k 2.581 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.582 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in (n k) around 0 2.582 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in k 2.582 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.582 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.582 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.582 * [taylor]: Taking taylor expansion of 1/4 in k 2.582 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.582 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.582 * [taylor]: Taking taylor expansion of k in k 2.582 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in k 2.582 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.582 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.582 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.582 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.582 * [taylor]: Taking taylor expansion of 0.5 in k 2.582 * [taylor]: Taking taylor expansion of k in k 2.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.582 * [taylor]: Taking taylor expansion of 2.0 in k 2.582 * [taylor]: Taking taylor expansion of (* n PI) in k 2.582 * [taylor]: Taking taylor expansion of n in k 2.582 * [taylor]: Taking taylor expansion of PI in k 2.583 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in k 2.583 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.583 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.583 * [taylor]: Taking taylor expansion of 0.25 in k 2.583 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.583 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.583 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (log PI) in k 2.583 * [taylor]: Taking taylor expansion of PI in k 2.583 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.583 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (log n) in k 2.583 * [taylor]: Taking taylor expansion of n in k 2.583 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.583 * [taylor]: Taking taylor expansion of 2.0 in k 2.584 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.584 * [taylor]: Taking taylor expansion of 1.0 in k 2.584 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in n 2.584 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 2.584 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 2.584 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 2.584 * [taylor]: Taking taylor expansion of 1/4 in n 2.584 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 2.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.584 * [taylor]: Taking taylor expansion of k in n 2.584 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in n 2.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.584 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.585 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.585 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.585 * [taylor]: Taking taylor expansion of 0.5 in n 2.585 * [taylor]: Taking taylor expansion of k in n 2.585 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.585 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.585 * [taylor]: Taking taylor expansion of 2.0 in n 2.585 * [taylor]: Taking taylor expansion of (* n PI) in n 2.585 * [taylor]: Taking taylor expansion of n in n 2.585 * [taylor]: Taking taylor expansion of PI in n 2.586 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.586 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.586 * [taylor]: Taking taylor expansion of 0.25 in n 2.586 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.586 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.586 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log PI) in n 2.586 * [taylor]: Taking taylor expansion of PI in n 2.586 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log n) in n 2.586 * [taylor]: Taking taylor expansion of n in n 2.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.586 * [taylor]: Taking taylor expansion of 2.0 in n 2.587 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.587 * [taylor]: Taking taylor expansion of 1.0 in n 2.587 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in n 2.587 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 2.587 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 2.587 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 2.587 * [taylor]: Taking taylor expansion of 1/4 in n 2.587 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 2.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.587 * [taylor]: Taking taylor expansion of k in n 2.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in n 2.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.588 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.588 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.588 * [taylor]: Taking taylor expansion of 0.5 in n 2.588 * [taylor]: Taking taylor expansion of k in n 2.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.588 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.588 * [taylor]: Taking taylor expansion of 2.0 in n 2.588 * [taylor]: Taking taylor expansion of (* n PI) in n 2.588 * [taylor]: Taking taylor expansion of n in n 2.588 * [taylor]: Taking taylor expansion of PI in n 2.589 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in n 2.589 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.589 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.589 * [taylor]: Taking taylor expansion of 0.25 in n 2.589 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.589 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.589 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (log PI) in n 2.589 * [taylor]: Taking taylor expansion of PI in n 2.589 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.589 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (log n) in n 2.589 * [taylor]: Taking taylor expansion of n in n 2.589 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.589 * [taylor]: Taking taylor expansion of 2.0 in n 2.590 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.590 * [taylor]: Taking taylor expansion of 1.0 in n 2.591 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (sqrt (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) (* (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)))) in k 2.591 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.591 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.591 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.591 * [taylor]: Taking taylor expansion of 1/4 in k 2.591 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.591 * [taylor]: Taking taylor expansion of k in k 2.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) (* (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0))) in k 2.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 2.592 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.592 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.592 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.592 * [taylor]: Taking taylor expansion of 0.5 in k 2.592 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.592 * [taylor]: Taking taylor expansion of k in k 2.592 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.592 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.592 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.592 * [taylor]: Taking taylor expansion of 2.0 in k 2.592 * [taylor]: Taking taylor expansion of PI in k 2.592 * [taylor]: Taking taylor expansion of (log n) in k 2.592 * [taylor]: Taking taylor expansion of n in k 2.593 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) (sqrt 1.0)) in k 2.593 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.25) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.593 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.593 * [taylor]: Taking taylor expansion of 0.25 in k 2.593 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.593 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.593 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.593 * [taylor]: Taking taylor expansion of 1.0 in k 2.593 * [taylor]: Taking taylor expansion of (log PI) in k 2.593 * [taylor]: Taking taylor expansion of PI in k 2.593 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.593 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.593 * [taylor]: Taking taylor expansion of 1.0 in k 2.593 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.593 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.593 * [taylor]: Taking taylor expansion of 1.0 in k 2.593 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.593 * [taylor]: Taking taylor expansion of (log 1) in k 2.593 * [taylor]: Taking taylor expansion of 1 in k 2.593 * [taylor]: Taking taylor expansion of (log n) in k 2.593 * [taylor]: Taking taylor expansion of n in k 2.593 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.594 * [taylor]: Taking taylor expansion of 1.0 in k 2.594 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.594 * [taylor]: Taking taylor expansion of 2.0 in k 2.594 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.594 * [taylor]: Taking taylor expansion of 1.0 in k 2.598 * [taylor]: Taking taylor expansion of 0 in k 2.608 * [taylor]: Taking taylor expansion of 0 in k 2.621 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in (n k) around 0 2.621 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in k 2.621 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.621 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.621 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.621 * [taylor]: Taking taylor expansion of 1/4 in k 2.621 * [taylor]: Taking taylor expansion of (log k) in k 2.621 * [taylor]: Taking taylor expansion of k in k 2.621 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.621 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in k 2.621 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.621 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.621 * [taylor]: Taking taylor expansion of 0.25 in k 2.621 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.621 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.621 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.621 * [taylor]: Taking taylor expansion of 1.0 in k 2.621 * [taylor]: Taking taylor expansion of (log PI) in k 2.621 * [taylor]: Taking taylor expansion of PI in k 2.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.621 * [taylor]: Taking taylor expansion of 1.0 in k 2.621 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.621 * [taylor]: Taking taylor expansion of 2.0 in k 2.621 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.621 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.621 * [taylor]: Taking taylor expansion of 1.0 in k 2.621 * [taylor]: Taking taylor expansion of (log n) in k 2.621 * [taylor]: Taking taylor expansion of n in k 2.622 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.622 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.622 * [taylor]: Taking taylor expansion of 1.0 in k 2.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.622 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.622 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.622 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.622 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.623 * [taylor]: Taking taylor expansion of 0.5 in k 2.623 * [taylor]: Taking taylor expansion of k in k 2.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.623 * [taylor]: Taking taylor expansion of 2.0 in k 2.623 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.623 * [taylor]: Taking taylor expansion of PI in k 2.623 * [taylor]: Taking taylor expansion of n in k 2.623 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in n 2.623 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 2.623 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 2.623 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 2.623 * [taylor]: Taking taylor expansion of 1/4 in n 2.623 * [taylor]: Taking taylor expansion of (log k) in n 2.623 * [taylor]: Taking taylor expansion of k in n 2.623 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.623 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 2.623 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.623 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.623 * [taylor]: Taking taylor expansion of 0.25 in n 2.623 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.623 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.623 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.624 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.624 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.624 * [taylor]: Taking taylor expansion of 1.0 in n 2.624 * [taylor]: Taking taylor expansion of (log PI) in n 2.624 * [taylor]: Taking taylor expansion of PI in n 2.624 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.624 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.624 * [taylor]: Taking taylor expansion of 1.0 in n 2.624 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.624 * [taylor]: Taking taylor expansion of 2.0 in n 2.624 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.624 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.624 * [taylor]: Taking taylor expansion of 1.0 in n 2.624 * [taylor]: Taking taylor expansion of (log n) in n 2.624 * [taylor]: Taking taylor expansion of n in n 2.625 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.625 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.625 * [taylor]: Taking taylor expansion of 1.0 in n 2.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.625 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.625 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.625 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.625 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.625 * [taylor]: Taking taylor expansion of 0.5 in n 2.625 * [taylor]: Taking taylor expansion of k in n 2.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.625 * [taylor]: Taking taylor expansion of 2.0 in n 2.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.625 * [taylor]: Taking taylor expansion of PI in n 2.625 * [taylor]: Taking taylor expansion of n in n 2.626 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))))) in n 2.626 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 2.626 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 2.626 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 2.626 * [taylor]: Taking taylor expansion of 1/4 in n 2.626 * [taylor]: Taking taylor expansion of (log k) in n 2.626 * [taylor]: Taking taylor expansion of k in n 2.626 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.626 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.25) in n 2.626 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.626 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.626 * [taylor]: Taking taylor expansion of 0.25 in n 2.627 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.627 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.627 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.627 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of (log PI) in n 2.627 * [taylor]: Taking taylor expansion of PI in n 2.627 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.627 * [taylor]: Taking taylor expansion of 2.0 in n 2.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of (log n) in n 2.627 * [taylor]: Taking taylor expansion of n in n 2.628 * [taylor]: Taking taylor expansion of (* (sqrt 1.0) (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.628 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.628 * [taylor]: Taking taylor expansion of 1.0 in n 2.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.628 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.628 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.628 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.628 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.628 * [taylor]: Taking taylor expansion of 0.5 in n 2.628 * [taylor]: Taking taylor expansion of k in n 2.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.628 * [taylor]: Taking taylor expansion of 2.0 in n 2.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.628 * [taylor]: Taking taylor expansion of PI in n 2.628 * [taylor]: Taking taylor expansion of n in n 2.630 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (* (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) (sqrt 1.0)))) in k 2.630 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.630 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.630 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.630 * [taylor]: Taking taylor expansion of 1/4 in k 2.630 * [taylor]: Taking taylor expansion of (log k) in k 2.630 * [taylor]: Taking taylor expansion of k in k 2.630 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (* (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) (sqrt 1.0))) in k 2.630 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) in k 2.630 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.630 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.630 * [taylor]: Taking taylor expansion of 0.25 in k 2.630 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.630 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.630 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.630 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.630 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.631 * [taylor]: Taking taylor expansion of 1.0 in k 2.631 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.631 * [taylor]: Taking taylor expansion of 2.0 in k 2.631 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.631 * [taylor]: Taking taylor expansion of 1.0 in k 2.631 * [taylor]: Taking taylor expansion of (log PI) in k 2.631 * [taylor]: Taking taylor expansion of PI in k 2.631 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.631 * [taylor]: Taking taylor expansion of 1.0 in k 2.631 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.631 * [taylor]: Taking taylor expansion of 1.0 in k 2.631 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.631 * [taylor]: Taking taylor expansion of (log 1) in k 2.631 * [taylor]: Taking taylor expansion of 1 in k 2.631 * [taylor]: Taking taylor expansion of (log n) in k 2.631 * [taylor]: Taking taylor expansion of n in k 2.632 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) (sqrt 1.0)) in k 2.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 2.632 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.632 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.632 * [taylor]: Taking taylor expansion of 0.5 in k 2.632 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.632 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.632 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.632 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.632 * [taylor]: Taking taylor expansion of 2.0 in k 2.632 * [taylor]: Taking taylor expansion of PI in k 2.632 * [taylor]: Taking taylor expansion of (log n) in k 2.632 * [taylor]: Taking taylor expansion of n in k 2.632 * [taylor]: Taking taylor expansion of k in k 2.633 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.633 * [taylor]: Taking taylor expansion of 1.0 in k 2.637 * [taylor]: Taking taylor expansion of 0 in k 2.645 * [taylor]: Taking taylor expansion of 0 in k 2.656 * [taylor]: Taking taylor expansion of 0 in k 2.657 * [approximate]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in (n k) around 0 2.657 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in k 2.657 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in k 2.657 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.657 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.657 * [taylor]: Taking taylor expansion of 0.25 in k 2.657 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.657 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.657 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.657 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.657 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.657 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.657 * [taylor]: Taking taylor expansion of 1.0 in k 2.657 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.657 * [taylor]: Taking taylor expansion of -2.0 in k 2.657 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.657 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.657 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.657 * [taylor]: Taking taylor expansion of 1.0 in k 2.657 * [taylor]: Taking taylor expansion of (log PI) in k 2.657 * [taylor]: Taking taylor expansion of PI in k 2.657 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.657 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.657 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.657 * [taylor]: Taking taylor expansion of 1.0 in k 2.657 * [taylor]: Taking taylor expansion of (log n) in k 2.657 * [taylor]: Taking taylor expansion of n in k 2.658 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0)) in k 2.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 2.658 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.658 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.658 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.658 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.658 * [taylor]: Taking taylor expansion of -1 in k 2.658 * [taylor]: Taking taylor expansion of k in k 2.659 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.659 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.659 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.659 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.659 * [taylor]: Taking taylor expansion of -0.5 in k 2.659 * [taylor]: Taking taylor expansion of k in k 2.659 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.659 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.659 * [taylor]: Taking taylor expansion of -2.0 in k 2.659 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.659 * [taylor]: Taking taylor expansion of PI in k 2.659 * [taylor]: Taking taylor expansion of n in k 2.660 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.660 * [taylor]: Taking taylor expansion of 1.0 in k 2.660 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in n 2.660 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 2.660 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.660 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.660 * [taylor]: Taking taylor expansion of 0.25 in n 2.660 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.660 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.660 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.660 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.660 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.660 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.660 * [taylor]: Taking taylor expansion of 1.0 in n 2.660 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.660 * [taylor]: Taking taylor expansion of -2.0 in n 2.660 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.661 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.661 * [taylor]: Taking taylor expansion of 1.0 in n 2.661 * [taylor]: Taking taylor expansion of (log PI) in n 2.661 * [taylor]: Taking taylor expansion of PI in n 2.661 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.661 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.661 * [taylor]: Taking taylor expansion of 1.0 in n 2.661 * [taylor]: Taking taylor expansion of (log n) in n 2.661 * [taylor]: Taking taylor expansion of n in n 2.662 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0)) in n 2.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.662 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.662 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.662 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.662 * [taylor]: Taking taylor expansion of -1 in n 2.662 * [taylor]: Taking taylor expansion of k in n 2.662 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.662 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.662 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.662 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.662 * [taylor]: Taking taylor expansion of -0.5 in n 2.662 * [taylor]: Taking taylor expansion of k in n 2.662 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.662 * [taylor]: Taking taylor expansion of -2.0 in n 2.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.662 * [taylor]: Taking taylor expansion of PI in n 2.662 * [taylor]: Taking taylor expansion of n in n 2.663 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.663 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0))) in n 2.664 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.25) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.664 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.664 * [taylor]: Taking taylor expansion of 0.25 in n 2.664 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.664 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.664 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.664 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.664 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.664 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.664 * [taylor]: Taking taylor expansion of -2.0 in n 2.664 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.664 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.664 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [taylor]: Taking taylor expansion of (log PI) in n 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.664 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.664 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [taylor]: Taking taylor expansion of (log n) in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.665 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) (sqrt 1.0)) in n 2.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 2.665 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.665 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.665 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.665 * [taylor]: Taking taylor expansion of -1 in n 2.665 * [taylor]: Taking taylor expansion of k in n 2.665 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.665 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.665 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.665 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.665 * [taylor]: Taking taylor expansion of -0.5 in n 2.665 * [taylor]: Taking taylor expansion of k in n 2.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.665 * [taylor]: Taking taylor expansion of -2.0 in n 2.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.665 * [taylor]: Taking taylor expansion of PI in n 2.665 * [taylor]: Taking taylor expansion of n in n 2.667 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.667 * [taylor]: Taking taylor expansion of 1.0 in n 2.667 * [taylor]: Taking taylor expansion of (* (sqrt (/ 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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (sqrt 1.0))) in k 2.667 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 2.667 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.667 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.668 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.668 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.668 * [taylor]: Taking taylor expansion of -0.5 in k 2.668 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.668 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.668 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.668 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.668 * [taylor]: Taking taylor expansion of -2.0 in k 2.668 * [taylor]: Taking taylor expansion of PI in k 2.668 * [taylor]: Taking taylor expansion of (log n) in k 2.668 * [taylor]: Taking taylor expansion of n in k 2.668 * [taylor]: Taking taylor expansion of k in k 2.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.668 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.668 * [taylor]: Taking taylor expansion of -1 in k 2.668 * [taylor]: Taking taylor expansion of k in k 2.669 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) (sqrt 1.0)) in k 2.669 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.25) in k 2.669 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.669 * [taylor]: Taking taylor expansion of (* 0.25 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.669 * [taylor]: Taking taylor expansion of 0.25 in k 2.669 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.669 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.669 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.669 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.669 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.669 * [taylor]: Taking taylor expansion of 1.0 in k 2.669 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.669 * [taylor]: Taking taylor expansion of -2.0 in k 2.669 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.670 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.670 * [taylor]: Taking taylor expansion of 1.0 in k 2.670 * [taylor]: Taking taylor expansion of (log PI) in k 2.670 * [taylor]: Taking taylor expansion of PI in k 2.670 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.670 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.670 * [taylor]: Taking taylor expansion of 1.0 in k 2.670 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.670 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.670 * [taylor]: Taking taylor expansion of 1.0 in k 2.670 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.670 * [taylor]: Taking taylor expansion of (log 1) in k 2.670 * [taylor]: Taking taylor expansion of 1 in k 2.670 * [taylor]: Taking taylor expansion of (log n) in k 2.670 * [taylor]: Taking taylor expansion of n in k 2.671 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.671 * [taylor]: Taking taylor expansion of 1.0 in k 2.676 * [taylor]: Taking taylor expansion of 0 in k 2.683 * [taylor]: Taking taylor expansion of 0 in k 2.691 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.692 * [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 2.692 * [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 2.692 * [taylor]: Taking taylor expansion of 1.0 in k 2.692 * [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 2.692 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.692 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.692 * [taylor]: Taking taylor expansion of k in k 2.692 * [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 2.692 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.692 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.692 * [taylor]: Taking taylor expansion of 0.5 in k 2.692 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.692 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.692 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.692 * [taylor]: Taking taylor expansion of 1.0 in k 2.692 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.692 * [taylor]: Taking taylor expansion of 2.0 in k 2.692 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.692 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.692 * [taylor]: Taking taylor expansion of 1.0 in k 2.692 * [taylor]: Taking taylor expansion of (log n) in k 2.692 * [taylor]: Taking taylor expansion of n in k 2.692 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.692 * [taylor]: Taking taylor expansion of 1.0 in k 2.692 * [taylor]: Taking taylor expansion of (log PI) in k 2.692 * [taylor]: Taking taylor expansion of PI in k 2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.693 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.693 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.693 * [taylor]: Taking taylor expansion of 0.5 in k 2.693 * [taylor]: Taking taylor expansion of k in k 2.693 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.693 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.693 * [taylor]: Taking taylor expansion of 2.0 in k 2.693 * [taylor]: Taking taylor expansion of (* n PI) in k 2.693 * [taylor]: Taking taylor expansion of n in k 2.693 * [taylor]: Taking taylor expansion of PI in k 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.694 * [taylor]: Taking taylor expansion of k in n 2.694 * [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 2.694 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.694 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.694 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.694 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.694 * [taylor]: Taking taylor expansion of 2.0 in n 2.694 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.694 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.694 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (log n) in n 2.694 * [taylor]: Taking taylor expansion of n in n 2.694 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.694 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (log PI) in n 2.694 * [taylor]: Taking taylor expansion of PI in n 2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.695 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.695 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.695 * [taylor]: Taking taylor expansion of 0.5 in n 2.695 * [taylor]: Taking taylor expansion of k in n 2.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.695 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.695 * [taylor]: Taking taylor expansion of 2.0 in n 2.695 * [taylor]: Taking taylor expansion of (* n PI) in n 2.695 * [taylor]: Taking taylor expansion of n in n 2.696 * [taylor]: Taking taylor expansion of PI in n 2.696 * [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 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [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 2.696 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.696 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.696 * [taylor]: Taking taylor expansion of k in n 2.696 * [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 2.696 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.696 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.696 * [taylor]: Taking taylor expansion of 0.5 in n 2.696 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.696 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.696 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.696 * [taylor]: Taking taylor expansion of 2.0 in n 2.696 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.696 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.696 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.696 * [taylor]: Taking taylor expansion of 1.0 in n 2.696 * [taylor]: Taking taylor expansion of (log n) in n 2.696 * [taylor]: Taking taylor expansion of n in n 2.697 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.697 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.697 * [taylor]: Taking taylor expansion of 1.0 in n 2.697 * [taylor]: Taking taylor expansion of (log PI) in n 2.697 * [taylor]: Taking taylor expansion of PI in n 2.697 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.698 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.698 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.698 * [taylor]: Taking taylor expansion of 0.5 in n 2.698 * [taylor]: Taking taylor expansion of k in n 2.698 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.698 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.698 * [taylor]: Taking taylor expansion of 2.0 in n 2.698 * [taylor]: Taking taylor expansion of (* n PI) in n 2.698 * [taylor]: Taking taylor expansion of n in n 2.698 * [taylor]: Taking taylor expansion of PI in n 2.699 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 2.699 * [taylor]: Taking taylor expansion of 1.0 in k 2.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 2.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.699 * [taylor]: Taking taylor expansion of k in k 2.699 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 2.699 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.699 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.699 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.699 * [taylor]: Taking taylor expansion of 0.5 in k 2.699 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.699 * [taylor]: Taking taylor expansion of k in k 2.699 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.699 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.699 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.699 * [taylor]: Taking taylor expansion of 2.0 in k 2.699 * [taylor]: Taking taylor expansion of PI in k 2.699 * [taylor]: Taking taylor expansion of (log n) in k 2.699 * [taylor]: Taking taylor expansion of n in k 2.700 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 2.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.700 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.700 * [taylor]: Taking taylor expansion of 0.5 in k 2.700 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.700 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.700 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.700 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.700 * [taylor]: Taking taylor expansion of 1.0 in k 2.700 * [taylor]: Taking taylor expansion of (log PI) in k 2.700 * [taylor]: Taking taylor expansion of PI in k 2.700 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.700 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.700 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.700 * [taylor]: Taking taylor expansion of 1.0 in k 2.700 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.700 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.700 * [taylor]: Taking taylor expansion of 1.0 in k 2.700 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.700 * [taylor]: Taking taylor expansion of (log 1) in k 2.700 * [taylor]: Taking taylor expansion of 1 in k 2.700 * [taylor]: Taking taylor expansion of (log n) in k 2.700 * [taylor]: Taking taylor expansion of n in k 2.701 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.701 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.701 * [taylor]: Taking taylor expansion of 1.0 in k 2.701 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.701 * [taylor]: Taking taylor expansion of 2.0 in k 2.706 * [taylor]: Taking taylor expansion of 0 in k 2.714 * [taylor]: Taking taylor expansion of 0 in k 2.728 * [taylor]: Taking taylor expansion of 0 in k 2.751 * [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 2.751 * [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 2.751 * [taylor]: Taking taylor expansion of 1.0 in k 2.752 * [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 2.752 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.752 * [taylor]: Taking taylor expansion of k in k 2.752 * [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 2.752 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.752 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.752 * [taylor]: Taking taylor expansion of 0.5 in k 2.752 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.752 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.752 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.752 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.752 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.752 * [taylor]: Taking taylor expansion of 1.0 in k 2.752 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.752 * [taylor]: Taking taylor expansion of 2.0 in k 2.752 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.752 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.752 * [taylor]: Taking taylor expansion of 1.0 in k 2.752 * [taylor]: Taking taylor expansion of (log PI) in k 2.752 * [taylor]: Taking taylor expansion of PI in k 2.752 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.752 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.752 * [taylor]: Taking taylor expansion of 1.0 in k 2.752 * [taylor]: Taking taylor expansion of (log n) in k 2.752 * [taylor]: Taking taylor expansion of n in k 2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.753 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.753 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.753 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.753 * [taylor]: Taking taylor expansion of 0.5 in k 2.753 * [taylor]: Taking taylor expansion of k in k 2.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.753 * [taylor]: Taking taylor expansion of 2.0 in k 2.753 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.753 * [taylor]: Taking taylor expansion of PI in k 2.753 * [taylor]: Taking taylor expansion of n in k 2.753 * [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 2.753 * [taylor]: Taking taylor expansion of 1.0 in n 2.753 * [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 2.754 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.754 * [taylor]: Taking taylor expansion of k in n 2.754 * [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 2.754 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.754 * [taylor]: Taking taylor expansion of 0.5 in n 2.754 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.754 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.754 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.754 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.754 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.754 * [taylor]: Taking taylor expansion of 1.0 in n 2.754 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.754 * [taylor]: Taking taylor expansion of 2.0 in n 2.754 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.754 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.754 * [taylor]: Taking taylor expansion of 1.0 in n 2.754 * [taylor]: Taking taylor expansion of (log PI) in n 2.754 * [taylor]: Taking taylor expansion of PI in n 2.754 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.754 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.754 * [taylor]: Taking taylor expansion of 1.0 in n 2.754 * [taylor]: Taking taylor expansion of (log n) in n 2.754 * [taylor]: Taking taylor expansion of n in n 2.755 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.755 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.755 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.755 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.755 * [taylor]: Taking taylor expansion of 0.5 in n 2.755 * [taylor]: Taking taylor expansion of k in n 2.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.755 * [taylor]: Taking taylor expansion of 2.0 in n 2.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.755 * [taylor]: Taking taylor expansion of PI in n 2.755 * [taylor]: Taking taylor expansion of n in n 2.756 * [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 2.756 * [taylor]: Taking taylor expansion of 1.0 in n 2.756 * [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 2.756 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.756 * [taylor]: Taking taylor expansion of k in n 2.756 * [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 2.756 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.756 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.756 * [taylor]: Taking taylor expansion of 0.5 in n 2.756 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.756 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.756 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.756 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.756 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.756 * [taylor]: Taking taylor expansion of 1.0 in n 2.756 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.756 * [taylor]: Taking taylor expansion of 2.0 in n 2.756 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.756 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.756 * [taylor]: Taking taylor expansion of 1.0 in n 2.756 * [taylor]: Taking taylor expansion of (log PI) in n 2.756 * [taylor]: Taking taylor expansion of PI in n 2.758 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.758 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.758 * [taylor]: Taking taylor expansion of 1.0 in n 2.758 * [taylor]: Taking taylor expansion of (log n) in n 2.758 * [taylor]: Taking taylor expansion of n in n 2.759 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.759 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.759 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.759 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.759 * [taylor]: Taking taylor expansion of 0.5 in n 2.759 * [taylor]: Taking taylor expansion of k in n 2.759 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.759 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.759 * [taylor]: Taking taylor expansion of 2.0 in n 2.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.759 * [taylor]: Taking taylor expansion of PI in n 2.759 * [taylor]: Taking taylor expansion of n in n 2.760 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 2.760 * [taylor]: Taking taylor expansion of 1.0 in k 2.760 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.761 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.761 * [taylor]: Taking taylor expansion of k in k 2.761 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.761 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.761 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.761 * [taylor]: Taking taylor expansion of 0.5 in k 2.761 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.761 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.761 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.761 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.761 * [taylor]: Taking taylor expansion of 2.0 in k 2.761 * [taylor]: Taking taylor expansion of PI in k 2.761 * [taylor]: Taking taylor expansion of (log n) in k 2.761 * [taylor]: Taking taylor expansion of n in k 2.761 * [taylor]: Taking taylor expansion of k in k 2.761 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.761 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.761 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.761 * [taylor]: Taking taylor expansion of 0.5 in k 2.761 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.761 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.761 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.761 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.761 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.761 * [taylor]: Taking taylor expansion of 1.0 in k 2.761 * [taylor]: Taking taylor expansion of (log PI) in k 2.761 * [taylor]: Taking taylor expansion of PI in k 2.762 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.762 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.762 * [taylor]: Taking taylor expansion of 1.0 in k 2.762 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.762 * [taylor]: Taking taylor expansion of 2.0 in k 2.762 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.762 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.762 * [taylor]: Taking taylor expansion of 1.0 in k 2.762 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.762 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.762 * [taylor]: Taking taylor expansion of 1.0 in k 2.762 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.762 * [taylor]: Taking taylor expansion of (log 1) in k 2.762 * [taylor]: Taking taylor expansion of 1 in k 2.762 * [taylor]: Taking taylor expansion of (log n) in k 2.762 * [taylor]: Taking taylor expansion of n in k 2.767 * [taylor]: Taking taylor expansion of 0 in k 2.775 * [taylor]: Taking taylor expansion of 0 in k 2.786 * [taylor]: Taking taylor expansion of 0 in k 2.795 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.795 * [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 2.795 * [taylor]: Taking taylor expansion of 1.0 in k 2.795 * [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 2.795 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.795 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.795 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.795 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.795 * [taylor]: Taking taylor expansion of -1 in k 2.795 * [taylor]: Taking taylor expansion of k in k 2.795 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.795 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.795 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.795 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.795 * [taylor]: Taking taylor expansion of -0.5 in k 2.795 * [taylor]: Taking taylor expansion of k in k 2.795 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.795 * [taylor]: Taking taylor expansion of -2.0 in k 2.795 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.795 * [taylor]: Taking taylor expansion of PI in k 2.795 * [taylor]: Taking taylor expansion of n in k 2.796 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.796 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.796 * [taylor]: Taking taylor expansion of 0.5 in k 2.796 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.796 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.796 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.796 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.796 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.796 * [taylor]: Taking taylor expansion of -2.0 in k 2.796 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.796 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [taylor]: Taking taylor expansion of (log PI) in k 2.796 * [taylor]: Taking taylor expansion of PI in k 2.796 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.796 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [taylor]: Taking taylor expansion of (log n) in k 2.796 * [taylor]: Taking taylor expansion of n in k 2.797 * [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 2.797 * [taylor]: Taking taylor expansion of 1.0 in n 2.797 * [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 2.797 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.797 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.797 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.797 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.797 * [taylor]: Taking taylor expansion of -1 in n 2.797 * [taylor]: Taking taylor expansion of k in n 2.797 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.797 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.797 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.797 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.797 * [taylor]: Taking taylor expansion of -0.5 in n 2.797 * [taylor]: Taking taylor expansion of k in n 2.797 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.797 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.798 * [taylor]: Taking taylor expansion of -2.0 in n 2.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.798 * [taylor]: Taking taylor expansion of PI in n 2.798 * [taylor]: Taking taylor expansion of n in n 2.798 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.798 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.798 * [taylor]: Taking taylor expansion of 0.5 in n 2.798 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.798 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.798 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.798 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.798 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.798 * [taylor]: Taking taylor expansion of 1.0 in n 2.798 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.798 * [taylor]: Taking taylor expansion of -2.0 in n 2.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.798 * [taylor]: Taking taylor expansion of 1.0 in n 2.798 * [taylor]: Taking taylor expansion of (log PI) in n 2.798 * [taylor]: Taking taylor expansion of PI in n 2.798 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.798 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.798 * [taylor]: Taking taylor expansion of 1.0 in n 2.798 * [taylor]: Taking taylor expansion of (log n) in n 2.798 * [taylor]: Taking taylor expansion of n in n 2.799 * [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 2.799 * [taylor]: Taking taylor expansion of 1.0 in n 2.799 * [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 2.799 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.799 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.800 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.800 * [taylor]: Taking taylor expansion of -1 in n 2.800 * [taylor]: Taking taylor expansion of k in n 2.800 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.800 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.800 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.800 * [taylor]: Taking taylor expansion of -0.5 in n 2.800 * [taylor]: Taking taylor expansion of k in n 2.800 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.800 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.800 * [taylor]: Taking taylor expansion of -2.0 in n 2.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.800 * [taylor]: Taking taylor expansion of PI in n 2.800 * [taylor]: Taking taylor expansion of n in n 2.800 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.800 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.800 * [taylor]: Taking taylor expansion of 0.5 in n 2.800 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.800 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.800 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.800 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.800 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.800 * [taylor]: Taking taylor expansion of 1.0 in n 2.800 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.800 * [taylor]: Taking taylor expansion of -2.0 in n 2.801 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.801 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of (log PI) in n 2.801 * [taylor]: Taking taylor expansion of PI in n 2.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.801 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.801 * [taylor]: Taking taylor expansion of 1.0 in n 2.801 * [taylor]: Taking taylor expansion of (log n) in n 2.801 * [taylor]: Taking taylor expansion of n in n 2.802 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.802 * [taylor]: Taking taylor expansion of 1.0 in k 2.802 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.802 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.803 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.803 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.803 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.803 * [taylor]: Taking taylor expansion of -0.5 in k 2.803 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.803 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.803 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.803 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.803 * [taylor]: Taking taylor expansion of -2.0 in k 2.803 * [taylor]: Taking taylor expansion of PI in k 2.803 * [taylor]: Taking taylor expansion of (log n) in k 2.803 * [taylor]: Taking taylor expansion of n in k 2.803 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.803 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.803 * [taylor]: Taking taylor expansion of -1 in k 2.803 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.803 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.803 * [taylor]: Taking taylor expansion of 0.5 in k 2.803 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.803 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.803 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.803 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.803 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.804 * [taylor]: Taking taylor expansion of 1.0 in k 2.804 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.804 * [taylor]: Taking taylor expansion of -2.0 in k 2.804 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.804 * [taylor]: Taking taylor expansion of 1.0 in k 2.804 * [taylor]: Taking taylor expansion of (log PI) in k 2.804 * [taylor]: Taking taylor expansion of PI in k 2.804 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.804 * [taylor]: Taking taylor expansion of 1.0 in k 2.804 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.804 * [taylor]: Taking taylor expansion of 1.0 in k 2.804 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.804 * [taylor]: Taking taylor expansion of (log 1) in k 2.804 * [taylor]: Taking taylor expansion of 1 in k 2.804 * [taylor]: Taking taylor expansion of (log n) in k 2.804 * [taylor]: Taking taylor expansion of n in k 2.809 * [taylor]: Taking taylor expansion of 0 in k 2.818 * [taylor]: Taking taylor expansion of 0 in k 2.828 * [taylor]: Taking taylor expansion of 0 in k 2.830 * * * [progress]: simplifying candidates 2.833 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ 1 1) (+ (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (log (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (log (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (exp (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))))) (* (* (* (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (sqrt (/ 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1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) 2.854 * * [simplify]: iteration 0 : 1285 enodes (cost 3492 ) 2.875 * * [simplify]: iteration 1 : 5001 enodes (cost 3059 ) 2.889 * [simplify]: Simplified to: 1 1 2 1 1 (* (/ (* 1.0 1.0) k) (/ (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ 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 1.0) k) (/ (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (* 2 (/ k 2.0))))) 2 (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 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(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 3) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3)) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (* (sqrt k) k))) (* (/ (pow 1.0 3) (* (* k (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (sqrt k))) (/ (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (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) (* (sqrt k) k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (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))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) (* (log n) (pow k 2)))))) (* 0.125 (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log n) 2) (pow k 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* NAN (pow (sqrt 1.0) 2)) (* k (* (pow NAN 3) (pow (sqrt 1.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* (pow k 2) (* (pow NAN 5) (pow (sqrt 1.0) 2))) (* 0.125 (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log (* 2.0 PI)) 2) (pow k 2)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) k)))) (* 0.5 (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log n) (pow k 2)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow (sqrt 1.0) 2) (* k (* (log n) NAN)))) (* 0.5 (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log (* 2.0 PI)) (pow k 2)))))))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* (/ 1.0 (pow k 3)) (/ (pow NAN 5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (+ (/ (* (pow (sqrt 1.0) 2) (pow NAN 3)) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (pow k 2))) (/ (* (pow (sqrt 1.0) 2) NAN) (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* (/ 1.0 k) (/ NAN (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (/ (pow (sqrt 1.0) 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) (- (- (+ (+ (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25) (+ (* (pow (exp 1/4) (log (/ 1 k))) (sqrt 1.0)) (* 0.03125 (* (sqrt 1.0) (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 1/4 (- (log 1) (log k)))))))))) (* (* (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (sqrt 1.0)) (* (* (pow k 2) (pow (log n) 2)) (pow (exp 1/4) (log (/ 1 k))))) 0.03125)) (* (* 0.0625 (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25)) (* (* (sqrt 1.0) (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 1/4) (log (/ 1 k))))))) (* (* (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (sqrt 1.0)) (* (* k (log (* 2.0 PI))) (pow (exp 1/4) (log (/ 1 k))))) 0.25)) (* (* (sqrt 1.0) (* (* (* k (log n)) (pow (exp 1/4) (log (/ 1 k)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) 0.25)) (* (* (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.25) (sqrt (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (pow (/ 1 k) 1/4)) (sqrt 1.0)) (- (+ (* 1/2 (* (sqrt (/ (pow NAN 3) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.25) (/ (sqrt 1.0) k)))) (* (sqrt (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.25) (sqrt 1.0)))) (* 1/8 (* (sqrt (/ (pow NAN 7) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.25) (/ (sqrt 1.0) (pow k 2)))))) (- (- (+ (+ (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25) (+ (* (pow (exp 1/4) (log (/ 1 k))) (sqrt 1.0)) (* 0.03125 (* (sqrt 1.0) (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 1/4 (- (log 1) (log k)))))))))) (* (* (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (sqrt 1.0)) (* (* (pow k 2) (pow (log n) 2)) (pow (exp 1/4) (log (/ 1 k))))) 0.03125)) (* (* 0.0625 (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25)) (* (* (sqrt 1.0) (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 1/4) (log (/ 1 k))))))) (* (* (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (sqrt 1.0)) (* (* k (log (* 2.0 PI))) (pow (exp 1/4) (log (/ 1 k))))) 0.25)) (* (* (sqrt 1.0) (* (* (* k (log n)) (pow (exp 1/4) (log (/ 1 k)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) 0.25)) (* (* (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.25) (sqrt (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (pow (/ 1 k) 1/4)) (sqrt 1.0)) (- (+ (* 1/2 (* (sqrt (/ (pow NAN 3) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.25) (/ (sqrt 1.0) k)))) (* (sqrt (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.25) (sqrt 1.0)))) (* 1/8 (* (sqrt (/ (pow NAN 7) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.25) (/ (sqrt 1.0) (pow k 2)))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (* 1.0 (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (* (pow (/ (* (pow PI 1.0) (pow -2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* 1.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) 2.891 * * * [progress]: adding candidates to table 3.352 * [progress]: [Phase 3 of 3] Extracting. 3.353 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.356 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 3.356 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 3.431 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # # #) 3.510 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 3.584 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 3.655 * * * [regime]: Found split indices: #